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Ep 14: Ch 8, Part 2: "A Window on Infinity"

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The Laws of Infinity Hotel

There are many unsolved mathematical conjectures, and some of those may well be undecidable. To the opponents of infinity in mathematics, this is due to the meaninglessness of such statements. But to me it is a powerful argument that abstractions exist objectively. And given another universe with differentmen, a universe of different laws, entirely we could prove different things. So there is nothing mathematically special about the undecidable questions, the non computable functions, the unprovable propositions. They arei ished by physics. Only different physical laws would make different things infinite, different things computable, different truths knowable.

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