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homotopytypetheory.org
| | jdh.hamkins.org
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| | This will be a talk for the Notre Dame Logic Seminar, 3 December 2024, 2:00pm, 125 Hayes-Healey. Abstract. I shall give an account of the theory of computable surreal numbers, proving that these fo...
| | xorshammer.com
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| | We think of a proof as being non-constructive if it proves "There exists an $latex x$ such that $latex P(x)$ without ever actually exhibiting such an $latex x$. If you want to form a system of mathematics where all proofs are constructive, one thing you can do is remove the principle of proof by contradiction:...
| | xorshammer.com
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| | The Axiom of Choice is usually introduced as a non-constructive axiom that mathematicians used to care about but don't really pay much attention to anymore. It's true that mainstream mathematicians often don't pay much attention to it, but it turns out that AC isn't inherently non-constructive: it depends on what the base system it's being...
| | www.softdevtube.com
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| Computers are orders of magnitude faster than when most of us started programming and yet a lot of software runs much slower than it should. Nobody likes progress bars. Slow code provides for a horrible user experience, drains batteries faster, and increases our cloud bill. This session explores some of the reasons why software is