Edward Frenkel
speaker
2,304 appearances
1 recordings
1 series
first heard Apr 2023
last heard Apr 2023
Edward Frenkel’s voice in public audio — every appearance, attributed to the second.
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Appearances
but just break out of it.
And then if you're interested, try to find a confirmation of those goosebumps in science or whatever you find interesting.
And most time you fail, which we also love, because then it sets us up for that moment of bliss when we succeed, right?
Well, yes.
How much time do you have?
Time is an illusion, right?
So we agreed.
So Kurt Gödel was a great Austrian mathematician and logician.
He moved to the United States before Second World War and worked at the Institute for Advanced Study in Princeton, where he was a colleague of Einstein and other great scientists, von Neumann, Hermann Weil, and so on.
But, you know, one interesting quote that I like in this regard is that Einstein said that at some point he said that the only reason he came to the Institute was that he would have the privilege of walking back home with Gödel in the evening.
So in other words, Einstein thought that Gödel was the smart one, okay?
So his most important contribution was
was his two incompleteness theorems, the first incompleteness theorem and the second incompleteness theorem.
What is this about?
It's really about inherent limitations of mathematical reasoning, the way of producing mathematical theorems, the way we do it.
To set the stage, how do we actually do mathematics?
We know that we discussed that, say, physics is based on mathematics, and you could say chemistry is based on physics, biology is based on chemistry.
Okay, so it comes to mathematics.
What is mathematics based on?
Well, mathematics is based on axioms.
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