Episode · Lex Fridman Podcast · 2025-12-31
Books mentioned on Infinity, Paradoxes, Gödel Incompleteness & the Mathematical Multiverse | Lex Fridman Podcast #488
Joel David Hamkins discussed Dialogues Concerning Two New Sciences (On the Shoulders of Giants) by Galileo Galilei and Elements. Lex Fridman discussed Proof and the Art of Mathematics by Joel David Hamkins.
Books mentioned, in the order they came up
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Dialogues Concerning Two New Sciences (On the Shoulders of Giants)
Discussed“Galileo is an extremely prominent exception to this, though he argued against this sort of potentialist orthodoxy in The Dialogue of Two New Sciences.”
Where to get it
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Elements
Discussed“The tension between the Cantor-Hume principle and what could be called Euclid's principle, which is that the whole is always greater than the part, is a principle that Euclid appealed to in the Elements many times when he's calculating area and so on.”
Where to get it
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Proof and the Art of Mathematics
Discussed“You've written a wonderful book about proofs and the art of mathematics. So what can you say about proving stuff in mathematics?”
Where to get it
Other mentions in this episode (3) — ad reads, self-promotion and passing references, never counted
“He is also the author of several books, including Proof in the Art of Mathematics and Lectures on the Philosophy of Mathematics.”
Passing Proof and the Art of Mathematics
“He is also the author of several books, including Proof in the Art of Mathematics and Lectures on the Philosophy of Mathematics.”
Plugged Proof and the Art of Mathematics
“And in my book, I give a couple of different proofs of this. I think I give an induction proof and then there's another proof. I think there's three different proofs in there.”