10 posts tagged with Mathematics *and* logic. (View popular tags)

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Computers are providing solutions to math problems that we can't check - "A computer has solved the longstanding Erdős discrepancy problem! Trouble is, we have no idea what it's talking about — because the solution, which is as long as all of Wikipedia's pages combined, is far too voluminous for us puny humans to confirm." (via; previously ;)

posted by kliuless on Apr 12, 2014 - 24 comments

posted by kliuless on Apr 12, 2014 - 24 comments

Using computer systems for doing mathematical proofs - "With the proliferation of computer-assisted proofs that are all but impossible to check by hand, Hales thinks computers must become the judge." [more inside]

posted by kliuless on Mar 16, 2013 - 25 comments

posted by kliuless on Mar 16, 2013 - 25 comments

"Perhaps twenty or thirty people in England may be expected to read this book." G.H. Hardy's review of Whitehead and Russell's *Principia Mathematica*, published in the Times Literary Supplement 100 years ago last week. "The time has passed when a philosopher can afford to be ignorant of mathematics, and a little perseverance will be well rewarded. It will be something to learn how many of the spectres that have haunted philosophers modern mathematics has finally laid to rest."

posted by escabeche on Sep 12, 2011 - 29 comments

posted by escabeche on Sep 12, 2011 - 29 comments

92 years young, the delightful Raymond Smullyan is a mathematician, logician, magician, concert pianist, and Taoist philosopher - who also pioneered retrograde chess problems.

posted by Trurl on Jun 26, 2011 - 22 comments

posted by Trurl on Jun 26, 2011 - 22 comments

Logical literacy is an awareness and understanding of the metalanguage in which propositions, conjectures, lemmas and theorems are written.

posted by jjray on Oct 12, 2010 - 44 comments

posted by jjray on Oct 12, 2010 - 44 comments

Gödel and the Nature of Mathematical Truth : A Talk with Verena Huber-Dyson

posted by Gyan on Jul 29, 2005 - 77 comments

posted by Gyan on Jul 29, 2005 - 77 comments

Godel's theorems have been used to extrapolate a great many "truths" about the world. Torkel Franzen sets the record straight in his new book Godel's Theorem: An Incomplete Guide to Its Use and Abuse. Read the introduction (PDF). If you want, check out his explanation of the theorems.

posted by Gyan on Jun 29, 2005 - 65 comments

posted by Gyan on Jun 29, 2005 - 65 comments

The Logic of Diversity "A new book, *The Wisdom of Crowds* [..:] by The New Yorker columnist James Surowiecki, has recently popularized the idea that groups can, in some ways, be smarter than their members, which is superficially similar to Page's results. While Surowiecki gives many examples of what one might call collective cognition, where groups out-perform isolated individuals, he really has only one explanation for this phenomenon, based on one of his examples: jelly beans [...] averaging together many independent, unbiased guesses gives a result that is probably closer to the truth than any one guess. While true — it's the central limit theorem of statistics — it's far from being the only way in which diversity can be beneficial in problem solving." (Three-Toed Sloth)

posted by kliuless on Jun 20, 2005 - 6 comments

posted by kliuless on Jun 20, 2005 - 6 comments

“Gödel put logic on the mathematical map.”

An excellent interview with Rebecca Goldstein, biographer of Kurt Godel

posted by thatwhichfalls on Mar 19, 2005 - 23 comments

An excellent interview with Rebecca Goldstein, biographer of Kurt Godel

posted by thatwhichfalls on Mar 19, 2005 - 23 comments

What Color is My Hat? I [heart] these mathematical conundrums -- simple, easy-to-state, seemingly obvious logic problems that have solutions that completely defy common sense. Here's another you can spring on a friend: "You want to fry up three pieces of french toast. You have a frying pan that is just large enough to accomodate two pieces of bread at a time. If it takes you 30 seconds to fry one side of bread, and each piece of must be fried on both sides, how long will it take you to cook up three pieces (assuming that the act of flipping a piece or adding/ removing it to or from the pan takes no time). Think about it. Answer inside.

posted by Shadowkeeper on May 25, 2001 - 24 comments

posted by Shadowkeeper on May 25, 2001 - 24 comments

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