The overwhelming majority of theorems in mathematics

are theorems that we cannot possibly prove.

This is girdle theorem.

And it also comes out of Turing's proof of what is and is not

computable.

These things that are not computable,

vastly outnumber the things that are computable.

And what is computable depends entirely upon what computers

we can make in this physical universe.

The computers that we can make must obey our laws of physics.

If the laws of physics were different,

then would be able to prove different sorts of mathematics.

And this is another part of the mathematician's misconception.

They think they can get it outside of the laws of physics.

However, their brain is just a physical computer.

Their brain must obey the laws of physics.

If they existed in a universe with different laws of physics,

then they could prove different theorems.

But we exist in the universe that we're in.

And so we're bound by a whole bunch of things,

not least of which is the finite speed of light.

So there could be certain things out there in abstract space,

...