Yes.
You don't need any concept of negative to use Achimedes inscribed polygon method.
I think, you think, that when we say they had no concept of zero, that we mean the digit. No. We mean the point on the line, zero, where the continuum of numbers continues infinitely in the opposite direction. Without zero, numbers are a "ray", not a "line".
The DIGIT zero is just an artifact of our using the same glyph to indicate null in a place. You perceive 10 as two glyphs (one, zero) but this is just how our written language depicts them. The zero in ten and zero as a number are not the same.
If it sounds dumb, it's simply because it IS dumb. The persians didn't really strike on something revolutionary, you can get by perfectly fine without it in practical engineering applications provided you adjust things accordingly. It was much more of a "if we write it like this, then it works like this" "OH, yeah that is a bit more useful."
If they'd ACTUALLY been smart they would have also pushed base 12 instead of base 10.
Yes.
You don't need any concept of negative to use Achimedes inscribed polygon method.
I think, you think, that when we say they had no concept of zero, that we mean the digit. No. We mean the point on the line, zero, where the continuum of numbers continues infinitely in the opposite direction. Without zero, numbers are a "ray", not a "line".
The DIGIT zero is just an artifact of our using the same glyph to indicate null in a place. You perceive 10 as two glyphs (one, zero) but this is just how our written language depicts them. The zero in ten and zero as a number are not the same.
If it sounds dumb, it's simply because it IS dumb. The persians didn't really strike on something revolutionary, you can get by perfectly fine without it in practical engineering applications provided you adjust things accordingly. It was much more of a "if we write it like this, then it works like this" "OH, yeah that is a bit more useful."
Yes.
You don't need any concept of negative to use Achimedes inscribed polygon method.
I think, you think, that when we say they had no concept of zero, that we mean the digit. No. We mean the point on the line, zero, where the continuum of numbers continues infinitely in the opposite direction. Without zero, numbers are a "ray", not a "line".
The DIGIT zero is just an artifact of our using the same glyph to indicate null in a place. You perceive 10 as two glyphs (one, zero) but this is just how our written language depicts them. The zero in ten and zero as a number are not the same.
If it sounds dumb, it's simply because it IS dumb. The persians didn't really strike on something revolutionary, you can get by perfectly fine without it in practical engineering applications provided you adjust things accordingly.
Yes.
You don't need any concept of negative to use Achimedes inscribed polygon method.
I think, you think, that when we say they had no concept of zero, that we mean the digit. No. We mean the point on the line, zero, where the continuum of numbers continues infinitely in the opposite direction. Without zero, numbers are a "ray", not a "line".
The DIGIT zero is just an artifact of our using the same glyph to indicate null in a place. You perceive 10 as two glyphs (one, zero) but this is just how our written language depicts them. The zero in ten and zero as a number are not the same.
Yes.
You don't need any concept of negative to use Achimedes inscribed polygon method.
I think, you think, that when we say they had no concept of zero, that we mean the digit. No. We mean the point on the line, zero, where the continuum of numbers continues infinitely in the opposite direction. Without zero, numbers are a "ray", not a "line".
The DIGIT zero is just an artifact of our using the same glyph to indicate null in a place. You perceive 10 as two glyphs (one, zero) but this is just how our written language depicts them. Ten and zero are not the same.
Yes.
You don't need any concept of negative to use Achimedes inscribed polygon method.
I think, you think, that when we say they had no concept of zero, that we mean the digit. No. We mean the point on the line, zero, where the continuum of numbers continues infinitely in the opposite direction. Without zero, numbers are a "ray", not a "line".