Episode · Lex Fridman Podcast · 2025-12-31
Books mentioned on Infinity, Paradoxes, Gödel Incompleteness & the Mathematical Multiverse | Lex Fridman Podcast #488
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
Elements by Euclid is an ancient geometric textbook written over two thousand years ago that laid the foundational principles for the field of geometry and remained actively in use as an educational resource up until a couple of centuries ago.
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
Other mentions in this episode (1) — 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.”