MetaFilter posts tagged with Math and logic
http://www.metafilter.com/tags/Math+logic
Posts tagged with 'Math' and 'logic' at MetaFilter.Sat, 12 Apr 2014 08:55:27 -0800Sat, 12 Apr 2014 08:55:27 -0800en-ushttp://blogs.law.harvard.edu/tech/rss60A SAT Attack on the Erdos Discrepancy Conjecture
http://www.metafilter.com/138247/A%2DSAT%2DAttack%2Don%2Dthe%2DErdos%2DDiscrepancy%2DConjecture
<a href="http://io9.com/computers-are-providing-solutions-to-math-problems-that-1525261141">Computers are providing solutions to math problems that we can't check</a> - "A computer has solved the longstanding <a href="http://arxiv.org/abs/1402.2184">Erdős discrepancy</a> problem! Trouble is, we have no idea what it's talking about — because the solution, which is <a href="http://www.newscientist.com/article/dn25068-wikipediasize-maths-proof-too-big-for-humans-to-check.html">as long as all of Wikipedia</a>'s pages combined, is far too <a href="http://mathbabe.org/2013/07/30/the-stacks-project-gets-ever-awesomer-with-new-viz/">voluminous</a> for us <a href="http://oliviacaramello.com/Unification/Unification.htm">puny humans</a> to confirm." (<a href="http://marginalrevolution.com/marginalrevolution/2014/04/are-computer-coming-up-with-answers-we-cannot-understand.html">via</a>; <a href="http://www.metafilter.com/126041/Computerized-Math-Formal-Proofs-andamp-Alternative-Logic">previously</a> ;) tag:metafilter.com,2014:site.138247Sat, 12 Apr 2014 08:55:27 -0800kliulessComputerized Math, Formal Proofs and Alternative Logic
http://www.metafilter.com/126041/Computerized%2DMath%2DFormal%2DProofs%2Dandamp%2DAlternative%2DLogic
<a href="http://www.wired.com/wiredscience/2013/03/computers-and-math/all/">Using computer systems for doing mathematical proofs</a> - "With the proliferation of <a href="http://en.wikipedia.org/wiki/Computer-assisted_proof">computer-assisted proofs</a> that are all but impossible to check by hand, Hales thinks computers must become the judge." <blockquote>Three years ago, Vladimir Voevodsky, one of the organizers of a new program on the foundations of mathematics at the Institute for Advanced Study in Princeton, N.J., discovered that a formal logic system that was developed by computer scientists, called "<a href="http://en.wikipedia.org/wiki/Type_theory">type theory</a>" could be used to re-create the entire mathematical universe from scratch. Type theory is consistent with the mathematical axioms, but couched in the language of computers. Voevodsky believes this alternative way to formalize mathematics, which he has renamed the <a href="http://video.ias.edu/univalent/voevodsky">univalent foundations of mathematics</a>, will streamline the process of formal theorem proving. Voevodsky and his team are adapting a <a href="https://plus.google.com/u/0/117663015413546257905/posts/4BZRibN6iKQ">program named Coq</a>, which was designed to formally verify computer algorithms, for use in abstract mathematics.</blockquote>
also btw, speaking of mathematical revolutions, from a historical perspective, check out <a href="http://www.scientificamerican.com/article.cfm?id=the-man-of-numbers-fibona&print=true">The Man of Numbers: Fibonacci's Arithmetic Revolution</a> - "Before the 13th century Europeans used Roman numerals to do arithmetic. Leonardo of Pisa, better known today as Fibonacci, is largely responsible for the adoption of the Hindu–Arabic numeral system in Europe, which revolutionized not only mathematics but commerce and trade as well. How did the system spread from the Arab world to Europe, and what would our lives be without it?" tag:metafilter.com,2013:site.126041Sat, 16 Mar 2013 15:33:01 -0800kliulessMaking Math Fun
http://www.metafilter.com/119620/Making%2DMath%2DFun
Is your elementary school youngster struggling with math? Are they a visual person? Would math games and videos help them learn? Enter <a href="http://www.mathplayground.com/">Math Playground</a>, to assist with problem solving and real world math. Try the enticing logic game <a href="http://www.mathplayground.com/logic_sugarsugar.html">Sugar, Sugar</a> or beef up your <a href="http://www.mathplayground.com/wpdatabase/wpindex.html">math word problem</a> skills. There are plenty of <a href="http://www.mathplayground.com/games.html">games</a> to help educate while entertaining. tag:metafilter.com,2012:site.119620Tue, 04 Sep 2012 16:34:21 -0800netbrosbons mots, poems, math, knitting and logic
http://www.metafilter.com/119002/bon%2Dmots%2Dpoems%2Dmath%2Dknitting%2Dand%2Dlogic
<a href="https://www.dpmms.cam.ac.uk/~tf/liszt.html">Entertaining, collected bon mots</a> and<a href="https://www.dpmms.cam.ac.uk/~tf/poem10.html"> surprisingly interesting, collected poems</a> by various authors. From <a href="https://www.dpmms.cam.ac.uk/~tf/">a likable math brainiac's site</a>, Dr T.E. Forster, a Cambridge University lecturer. He also<a href="https://www.dpmms.cam.ac.uk/~tf/squarenew.html"> knits</a> and writes <a href="https://www.dpmms.cam.ac.uk/~tf/BILAPintro.pdf">about Buddhist logic</a> [pdf]. Bonus, there's<a href="https://www.dpmms.cam.ac.uk/~tf/louisesbrain.gif"> a fun gif</a>. tag:metafilter.com,2012:site.119002Thu, 16 Aug 2012 20:00:52 -0800nickyskyeG.H. Hardy reviews Principia Mathematica
http://www.metafilter.com/107360/GH%2DHardy%2Dreviews%2DPrincipia%2DMathematica
<a href="http://www.cl.cam.ac.uk/~ns441/files/hardy-principia.pdf">"Perhaps twenty or thirty people in England may be expected to read this book."</a> G.H. Hardy's review of Whitehead and Russell's <em>Principia Mathematica</em>, 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." tag:metafilter.com,2011:site.107360Mon, 12 Sep 2011 14:37:37 -0800escabecheKill Math
http://www.metafilter.com/105839/Kill%2DMath
<a href="http://worrydream.com/KillMath/">Bret Victor on WorryDream</a> The power to understand and predict the quantities of the world should not be restricted to those with a freakish knack for manipulating abstract symbols.
When most people speak of Math, what they have in mind is more its mechanism than its essence. This "Math" consists of assigning meaning to a set of symbols, blindly shuffling around these symbols according to arcane rules, and then interpreting a meaning from the shuffled result. The process is not unlike casting lots. tag:metafilter.com,2011:site.105839Sun, 24 Jul 2011 06:47:20 -0800naightOnline statistics textbook
http://www.metafilter.com/94566/Online%2Dstatistics%2Dtextbook
Interested in teaching yourself some statistics? Here is an excellent online and interactive <a href="http://statistics.berkeley.edu/~stark/SticiGui/">statistics textbook</a> developed at UC Berkeley, and also used at CUNY, UCSC, SJSU, and Bard. Here is the <a href="http://statistics.berkeley.edu/~stark/Teach/S21/Su10/">syllabus</a> for the course at Berkeley. And here are some insightful <a href="http://www.samefacts.com/2010/08/technology-and-society/online-education-notes-from-the-field/">reflections</a> from the professor on developing Berkeley's first fully approved online course. tag:metafilter.com,2010:site.94566Mon, 09 Aug 2010 09:23:30 -0800AceRockAll Gnytte Long
http://www.metafilter.com/88291/All%2DGnytte%2DLong
<a href="http://web.mit.edu/puzzle/www/09/puzzles/the_sexaholics_of_truthteller_planet/PUZZLE/">The Sexaholics of Truthteller Planet</a> - yes, it's one of those rotten logic problems, one of many that can be found at Tanya Khovanova’s <a href="http://blog.tanyakhovanova.com/?p=181">Math Guide to the MIT Mystery Hunt</a>. tag:metafilter.com,2010:site.88291Wed, 13 Jan 2010 09:16:38 -0800WolfdogI am a strange loop.
http://www.metafilter.com/82063/I%2Dam%2Da%2Dstrange%2Dloop
<a href="http://prelectur.stanford.edu/lecturers/hofstadter/excerpts.html">Douglas Hofstadter's</a> <em><a href="http://en.wikipedia.org/wiki/G%C3%B6del,_Escher,_Bach">Gödel, Escher, Bach: An Eternal Golden Braid</a></em> has been recorded as <a href="http://ocw.mit.edu/OcwWeb/hs/geb/VideoLectures/">a series of video lectures</a> for MIT's <a href="http://ocw.mit.edu/OcwWeb/web/home/home/index.htm">Open Courseware</a> project. tag:metafilter.com,2009:site.82063Sat, 30 May 2009 21:30:41 -0800loquaciousThe Mathemagician and Pied Puzzler, and others
http://www.metafilter.com/75321/The%2DMathemagician%2Dand%2DPied%2DPuzzler%2Dand%2Dothers
<a href="http://www.g4g4.com/paul/BOOK.pdf"><i>The Mathemagician and Pied Puzzler</i></a> <small>(PDF, rough table of contents <a href="http://www.worldcat.org/oclc/40338600?tab=details">here</a>)</small> is a collection of puzzles created by members of the <a href="http://www.g4g4.com/">Gathering 4 Gardner Foundation</a>, in tribute to <a href="http://www.csicop.org/si/9803/gardner.html">the man himself</a> <small>(<a href="http://www.metafilter.com/mefi/21286">previously</a>)</small>. Also freely available at the G4G site is <em><a href="http://www.g4g4.com/pc/pc92.pdf">Puzzle Craft</a></em> <small>(PDF)</small>, by Stewart Coffin. <small>(<em>The Puzzling World of Polyhedral Dissections</em>, also by Coffin, is available <a href="http://www.johnrausch.com/PuzzlingWorld/default.htm">here</a>.)</small> tag:metafilter.com,2008:site.75321Wed, 01 Oct 2008 19:21:50 -0800cog_nateGeek Logik - math for every day
http://www.metafilter.com/56110/Geek%2DLogik%2Dmath%2Dfor%2Devery%2Dday
Geek Logik is <a href="http://www.powells.com/tqa/sundem.html">Garth Sundem</a>'s <a href="http://www.amazon.com/exec/obidos/ASIN/0761140212/metafilter-20/ref=nosim/">book </a>& <a href="http://geeklogik.blogspot.com">blog</a> about equations for every day living, including <a href="http://geeklogik.blogspot.com/2006/10/how-many-cups-of-coffee-do-you-need-to.html ">how many cups of coffee you require to be functional</a>, <a href="http://geeklogik.blogspot.com/2006/10/who-should-you-vote-for.html">who to vote for</a>, and others. tag:metafilter.com,2006:site.56110Tue, 07 Nov 2006 09:47:20 -0800xmutexWho has the fish?
http://www.metafilter.com/44031/Who%2Dhas%2Dthe%2Dfish
<a href="http://www.coudal.com/thefish.php">Who has the fish?</a> Einstein logic puzzle. If I can do it, you guys can. tag:metafilter.com,2005:site.44031Thu, 04 Aug 2005 15:22:41 -0800swiftNature of Mathematical Truth
http://www.metafilter.com/43828/Nature%2Dof%2DMathematical%2DTruth
<a href="http://www.edge.org/3rd_culture/vhd05/vhd05_index.html">Gödel and the Nature of Mathematical Truth</a> : A Talk with Verena Huber-Dyson tag:metafilter.com,2005:site.43828Fri, 29 Jul 2005 10:24:24 -0800GyanYou can't prove this title wasn't an attempt to illustrate Godel
http://www.metafilter.com/43130/You%2Dcant%2Dprove%2Dthis%2Dtitle%2Dwasnt%2Dan%2Dattempt%2Dto%2Dillustrate%2DGodel
Godel's theorems have been used to extrapolate a great <a href="http://www.sm.luth.se/~torkel/eget/godel.html">many</a> "truths" about the world. <a href="http://www.sm.luth.se/%7Etorkel/">Torkel Franzen</a> sets the record <a href="http://www.ucalgary.ca/~rzach/logblog/2005/06/franzn-on-use-and-abuse-of-gdels.html">straight</a> in his new book <a href="http://www.amazon.com/exec/obidos/ASIN/1568812388/metafilter-20/ref=nosim/">Godel's Theorem: An Incomplete Guide to Its Use and Abuse</a>. Read the <a href="http://www.sm.luth.se/~torkel/eget/tic.html">introduction</a> (PDF). If you want, check out his <a href="http://www.sm.luth.se/~torkel/eget/godel/theorems.html">explanation</a> of the theorems. tag:metafilter.com,2005:site.43130Wed, 29 Jun 2005 02:59:04 -0800GyanThe Complexity of a Controversial Concept
http://www.metafilter.com/42922/The%2DComplexity%2Dof%2Da%2DControversial%2DConcept
<a href="http://bactra.org/bulletin/logic-of-diversity.html">The Logic of Diversity</a> "A new book, <i>The Wisdom of Crowds</i> [<a href="http://www.metafilter.com/mefi/33307">..:</a>] by <a href="http://greg.org/archive/new_yorker_magazine_database.php">The New Yorker</a> columnist James Surowiecki, has recently popularized the idea that groups can, in some ways, be smarter than their members, which is superficially similar to <a href="http://www.cscs.umich.edu/~spage/">Page's results</a>. 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 [<a href="http://www.randomhouse.com/features/wisdomofcrowds/contest.html">...</a>] 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 <a href="http://en.wikipedia.org/wiki/Central_limit_theorem">central limit theorem</a> of statistics — it's far from being the only way in which <a href="http://www.cscs.umich.edu/diversity/">diversity</a> can be beneficial in problem solving." <a href="http://bactra.org/weblog/362.html">(Three-Toed Sloth)</a> tag:metafilter.com,2005:site.42922Mon, 20 Jun 2005 18:03:37 -0800kliulessPuzzleFilter.
http://www.metafilter.com/34927/PuzzleFilter
<a href="http://www.geocities.com/bob_kraus_2000/">"WARNING!!! The puzzles on this site are very difficult,</a> and most require the use of a good spreadsheet program in order to solve them. It will take many hours, perhaps days, to solve each puzzle..." tag:metafilter.com,2004:site.34927Wed, 11 Aug 2004 21:08:52 -0800limitedpieWhat Color is My Hat?
http://www.metafilter.com/7906/What%2DColor%2Dis%2DMy%2DHat
<a href="http://www.worlds-fastest-website.com/why-mathematicians-care-about-hat-color.htm">What Color is My Hat?</a> 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. tag:metafilter.com,2001:site.7906Fri, 25 May 2001 10:22:29 -0800Shadowkeeper