I'll explain why pure Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher pure math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (at least in quality journals), but more importantly, it will be by everyone who learns it in the future.The more it is learned, the more verified it becomes (i.e. the result is repeatable).

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why pure Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher pure math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (at least in quality journals), but more importantly, it will be by everyone who learns it in the future.The more it is learned, the more verified it becomes (i.e. the result is repeatable).

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why pure Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (at least in quality journals), but more importantly, it will be by everyone who learns it in the future.The more it is learned, the more verified it becomes (i.e. the result is repeatable).

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why pure Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (at least in quality journals), but more importantly, it will be by everyone who learns it in the future.The more it is learned, the more verified it becomes (i.e. the result is repeatable).

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (at least in quality journals), but more importantly, it will be by everyone who learns it in the future.The more it is learned, the more verified it becomes (i.e. the result is repeatable).

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (at least in quality journals), but more importantly, it will be by everyone who learns it in the future.The more it is learned, the more verified it becomes (i.e. the result is repeatable).

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (at least in quality journals), but more importantly, it will be by everyone who learns it in the future.The more it is learned, the more verified it becomes (repeatable results).

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (at least in quality journals), but more importantly, it will be by everyone who learns it in the future.The more it is learned, the more verified it becomes (repeatable results).

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (hopefully rigorously), but more importantly, it will be by everyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (hopefully rigorously), but more importantly, it will be by everyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (hopefully), but more importantly, it will be by everyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Newly published math is verified in full during peer review (hopefully), but more importantly, it will be by everyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms (the "ZFC" axioms) for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules (countable on one hand) for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible (countable on one hand) additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible (countable on one hand) additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

I'll explain why Mathematics is unquestionable to the same extent as deductive logic is unquestionable. I leave the other sciences to others better informed.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university and higher math which comes with proofs for everything unlike school math which doesn't). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university math, which is based on proofs not algorithms like school math). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes:: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (talking about university math, which is based on proofs not algorithms like school math). In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes:: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified every time it is learned because you can't understand it without also verifying it* (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified every time it is learned because you can't understand it without also verifying it* (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's a model for all sciences to emulate.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math goes: Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike other sciences). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. No financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified every time it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will be by anyone who learns it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. There is no financial or other incentive to falsify results. No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified everytime it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and by anyone who wants to learn it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive is valid mathematics (within your system). But mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms for this system would make sense even to a child, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. There is no financial or other incentive to falsify results (which will be re-verified in full before publishing anyway). No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified everytime it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and by anyone who wants to learn it in the future.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. There is no financial or other incentive to falsify results (which will be re-verified in full before publishing anyway). No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified everytime it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will continue to be verified by anyone who wants to learn it.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. As it doesn't deal with our world, it is safe from politics. There is no financial or other incentive to falsify results (which will be re-verified in full before publishing anyway). No new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified everytime it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will continue to be verified by anyone who wants to learn it.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it. As it doesn't deal with our world, it is safe from politics. There is no financial or other incentive to falsify results (which will be re-verified in full before publishing anyway).

It is the only science where each student is required to fully verify everything he is taught. In fact, math is verified everytime it is learned because you can't understand it without also verifying it (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will continue to be verified by anyone who wants to learn it.

If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it. As it doesn't deal with our world, it is safe from politics. There is no financial or other incentive to falsify results (which will be re-verified in full before publishing anyway).

It is the only science where each student is required to fully verify everything he is taught (because you can't understand it without also verifying it) (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will continue to be by anyone who wants to learn it. If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it. As it doesn't deal with our world, it is safe from politics. There is no financial or other incentive to falsify results (which will be re-verified in full before publishing anyway).

It is the only science where each student is required to fully verify everything he is taught (because you can't understand it without also verifying it) (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Even newly published math is verified in full during peer review and will continue to be by anyone who wants to learn it. If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it. As it doesn't deal with our world, it is safe from politics. There is no financial or other incentive to falsify results (which will be re-verified in full before publishing anyway).

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Research level math has more scope for finding errors. If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable. Any errors are due to oversights in reasoning.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it. As it doesn't deal with our world, it is safe from politics. There is no financial or other incentive to falsify results (which will be re-verified in full before publishing anyway).

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Research level math has more scope for finding errors. If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable. Any errors are due to oversights in reasoning.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it. It is safe from politics. There is no money to make or other incentive to falsify results (which will be re-verified in full before publishing anyway).

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Research level math has more scope for finding errors. If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable. Any errors are due to oversights in reasoning (unintentional).

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably hundreds of thousands of times. Research level math has more scope for finding errors. If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. It is safe from politics due to its subject matter. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable. Any errors are due to oversights in reasoning (unintentional).

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably millions of times. Research level math has more scope for finding errors. If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. It is safe from politics due to its subject matter. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable. Any errors are due to oversights in reasoning (unintentional).

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). Thus, mathematics taught in universities has been checked and re-checked probably millions of times. Research level math has more scope for finding errors. If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable. Any errors are due to oversights in reasoning (unintentional).

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). Thus, mathematics taught in universities has been checked and re-checked probably millions of times. Research level math has more scope for finding errors. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). Thus, mathematics taught in universities has been checked and re-checked probably millions of times. There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

So far as math is concerned, Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own. The logic and axioms (called ZFC axioms) for this system are those that would appeal to the common sense of a child to the extent possible, adding minimum possible additional rules for completeness (for cases we do not encounter in real life and thus have no "common sense" for).

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generality. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe (unlike the rest of science). It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and deriving the most general versions of theorems (equivalent to most general version of "truths" in our world). That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and deriving the most general versions of theorems (equivalent to most general version of "truths" in our world). That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and deriving the most generalized theorems (equivalent to "truths" in our world). That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and deriving the most generalized "truths". That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (all you need is pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work). There's zero tolerance for incorrectness and there is a strong urge for completeness and maximum generalization. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (takes nothing but pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work).

Every mathematician is taught to be merciless in correctness and completeness. Once proven, there's no room for "opinions". That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only exists in and "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (takes nothing but pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work).

Every mathematician is taught to be merciless in correctness and completeness. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (takes nothing but pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work).

Every mathematician is taught to be merciless in correctness and completeness. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (takes nothing but pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work).

Every mathematician is taught to be merciless in correctness and completeness. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct, thanks to the crisis caused by Cantor's work.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (takes nothing but pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work).

Every mathematician is taught to be merciless in correctness and completeness. That's why I love math. It's what sciences should aspire to be.

PS: Long ago there was a view that math represents some truth about our universe, so there was a notion of what should or shouldn't be math. But in the 20th century, that view became extinct.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where each student is required to fully verify everything he is taught (takes nothing but pencil and paper). If you find an error in anyone's proof, you can publish a counterexample or derive a contradiction and be assured the mathematics community will accept it (unless they find a mistake in your work).

Every mathematician is taught to be merciless in correctness and completeness. That's why I love math. It's what sciences should aspire to be.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles, adding rules only in cases we do not encounter in real life (thus have no common sense for (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

It is the only science where a full proof is given to students every time they are taught anything. You can fully verify any part of its entire body of knowledge with nothing but a pencil and paper. Mathematicians are taught to accept nothing without complete proof. If you find an error in anyone's proof, you can publish a counterexample and be assured the mathematics community will accept it (unless they find a mistake in your work).

Every mathematician is taught to insist on correctness and completeness. That's why I love math. It's what sciences should aspire to be.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only "talks about" its own system. Thus, no new discovery within our universe can affect it.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles as far as possible (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

These days many mathematicians work with alternate logics and axioms and their work is no less mathematical.

It is the only science where a full proof is given to students every time they are taught anything. You can fully verify any part of its entire body of knowledge with nothing but a pencil and paper. Mathematicians are taught to accept nothing without complete proof. If you find an error in anyone's proof, you can publish a counterexample and be assured the mathematics community will accept it (unless they find a mistake in your work).

Every mathematician is taught to insist on correctness and completeness. That's why I love math. It's what sciences should aspire to be.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only talks about its own universe.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using English unless we want to have a computer verify our proof (this has been done for really tedious proofs). The logic it uses follows common sense logical principles as far as possible (just pick up any intro book on logic and judge for yourself). And finally, the basic axioms it is based on (called ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

These days many mathematicians work with alternate logics and axioms and their work is no less mathematical.

It is the only science where a full proof is given to students every time they are taught anything. You can fully verify any part of its entire body of knowledge with nothing but a pencil and paper. Mathematicians are taught to accept nothing without complete proof. If you find an error in anyone's proof, you can publish a counterexample and be assured the mathematics community will accept it (unless they find a mistake in your work).

Every mathematician is taught to insist on correctness and completeness. That's why I love math. It's what sciences should aspire to be.

Can't speak for science, but Mathematics is unquestionable! to the same extent as deductive logic is unquestionable.

Sounds controversial but let me explain. The modern notion of mathematics is very agnostic. You can invent your own language, logic and axioms and whatever conclusions you derive within this system is valid mathematics (within your system). But of course, mathematicians like to be able to work together, so they use a common system rather than each his own.

Thus math has nothing to do with our universe. It is a completely invented thing. It has nothing to do with what is true in our existence. It only talks about its own universe.

Standard modern mathematics taught in universities has its own formalized language, but we prefer using a mixture of English and symbols unless we want to write a fully formalized proof to have a computer verify it for us. This has been done too). The logic it uses follows common sense logical principles as far as possible (just pick up any intro book on logic and judge for yourself). The basic axioms it is based on (ZFC axioms) once again are those that appeal to common sense (look them up!). Literally everything else is only that which can be derived logically.

These days many mathematicians work with alternate logics and axioms and their work is no less mathematical.

It is the only science where a full proof is given to students every time they are taught anything. You can fully verify any part of its entire body of knowledge with nothing but a pencil and paper. Mathematicians are taught to accept nothing without complete proof. If you find an error in anyone's proof, you can publish a counterexample and be assured the mathematics community will accept it (unless they find a mistake in your work).

I love math and Its insistence on correctness and completeness.