Pure Reason, left to herself, rely on axioms and essential premises which she can neither question

nor resolve.

A quote by Robert Bridges.

Water cannot rise higher than its source.

Neither can human reason.

A quote by Samuel Taylor Coleridge.

Either mathematics is too big for the human mind or the human mind is more than a machine.

A quote by Kurt Gerdle.

I'm super, super excited about this topic.

This is one of my favorite topics to think about and to talk about which is the topic of strange loops and

paradoxes because this gets to the very essence of what reality is and I love to

think about the paradoxes that result when the mind is trying to think about reality.

I've actually been wanting to shoot this episode for over three years now

about Girdles and Completeness theorem, but it's difficult to organize

all this material.

It takes a lot of work to organize it in a way that's logical and simple that can be understood by ordinary people in a non-technical way.

And so that's what you're going to get here today.

I will explain girls in completeness theorem at a high level without getting you bogged down into the

technicalities and the math and the logic of it because it's a pretty technical proof

it's dozens of pages long it's very complicated and there's no need to go into that because what we care about here is not the mathematics of the proof, which is sound.

And if you want you can go watch videos specifically about the mathematics of the proof

or you can go actually read the proof itself.

...