A ball bouncing on the screen, is it really bouncing? It is actually being simulated by math, it "is" really bouncing!! you can even play soccer games with it!!, neurons are being simulated as well with math. Yes, your GPU can become alive, and it can bounce balls.
What do you mean?
how is something impossible for math to calculate?
Oh I know what you mean, while doing the blitting of the animation, it is impossible to do the calculations in between frames for when the bouncing takes place between frames, that's why balls remain bouncy after they should have stopped.
they are being modelled.
Do you mean we set the formula there and let the GPU do the calculations? Well that's the problem, we modelled something and we give up on calculating it, and I claim it is alive, and to verify it we would have to be able to calculate it all the way. The "black box problem"
yes, your GPU is alive
A ball bouncing on the screen, is it really bouncing? It is actually being simulated by math, it "is" really bouncing!! you can even play soccer games with it!!, neurons are being simulated as well with math. Yes, your GPU can become alive, and it can bounce balls.
Neurons are not being simulated any more than collisions are simulated.
They are being modelled.
Collisions are, in fact, impossible to calculate. But you know that, being an expert and all.
What do you mean? how is something impossible for math to calculate?
Oh I know what you mean, while doing the blitting of the animation, it is impossible to do the calculations in between frames for when the bouncing takes place between frames, that's why balls remain bouncy after they should have stopped.
Do you mean we set the formula there and let the GPU do the calculations? Well that's the problem, we modelled something and we give up on calculating it, and I claim it is alive, and to verify it we would have to be able to calculate it all the way. The "black box problem"
No, the moment of a collision is incalculable. One of the many problems that cannot be solved by a Turing machine, aka the Church–Turing thesis.
Read Turing's On Computable Numbers With an Application to the Entscheidungsproblem
And Penrose's book The Emperor's New Mind - you should be able to find a pdf of it, if you lack access to a library.