History Trivia / Math

9th May '17 9:29:23 AM IceBearBelievesInYou
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** the [[MindFuck Surreal]] numbers: which is the largest possible totally ordered class allowed by set theory

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** the [[MindFuck [[MindScrew Surreal]] numbers: which is the largest possible totally ordered class allowed by set theory
1st May '17 5:13:56 PM morenohijazo
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** I believe that our [[ViewersAreGeniuses youth can handle this!]] (Courtesy of Music/TomLehrer)

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** I believe that our [[ViewersAreGeniuses youth can handle this!]] (Courtesy of ([[https://www.youtube.com/watch?v=UIKGV2cTgqA Courtesy of]] Music/TomLehrer)
30th Apr '17 10:32:39 AM nombretomado
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** I believe that our [[ViewersAreGeniuses youth can handle this!]] (Courtesy of TomLehrer)

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** I believe that our [[ViewersAreGeniuses youth can handle this!]] (Courtesy of TomLehrer) Music/TomLehrer)
12th Apr '17 4:03:45 PM brandonfave
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[-...my brain hurts. I think I'll stick to biology.\\

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[-...[-[[EverybodyHatesMathematics ...my brain hurts. I think I'll stick to biology.\\]]\\
7th Apr '17 11:29:04 AM thexrossd
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** Also, you can only pick the smallest if the set of all numbers you're considering is well ordered, which is true if it's the set of integers. As for real or complex numbers, well....

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** Also, you can only pick the smallest if the set of all numbers you're considering is well ordered, which is true if it's the set of integers.positive integers (the so called Natural Numbers). As for real or complex numbers, well....
17th Oct '16 5:44:27 PM nombretomado
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** [[IrregularWebcomic You'd think they could do it in just four pieces though.]]

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** [[IrregularWebcomic [[Webcomic/IrregularWebcomic You'd think they could do it in just four pieces though.]]
8th May '16 1:21:02 AM Perey
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* There's a joke computer file system called [[https://github.com/philipl/pifs PiFS]] that claims it's data free (except for the metadata file) and you can store and retrieve ''any'' file. The play on this is that any irrational number (a number that does not end or have repeating digits) contains any finite sequence of numbers. All you have to do is find out where in pi this sequence is.
** People have noted that pi, e, and other irrational numbers are [[https://en.wikipedia.org/wiki/Illegal_number illegal numbers]] because they have to contain said illegal number.

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* There's a joke computer file system called [[https://github.com/philipl/pifs PiFS]] that claims it's data free (except for the metadata file) and you can store and retrieve ''any'' file. The play on this joke is that any irrational number (a number that does not end or have repeating digits) contains any finite sequence of numbers. All you have pi is (thought to do is find out where in pi this sequence is.
** People have noted that pi, e, and other irrational numbers are
be) a [[https://en.wikipedia.org/wiki/Normal_number normal number]]; that is, its digits are truly random[[note]]in the sense that all digit sequences are uniformly distributed[[/note]], and so somewhere in its infinite decimal places, it must contain every possible finite sequence of numbers. And since a file on disk is just a sequence of numbers, all you have to do is find out where in pi this sequence is. [[BlatantLies Simple]].
** People have noted that pi, e, and other normal numbers (okay, numbers that we ''think'' are normal) are [[https://en.wikipedia.
org/wiki/Illegal_number illegal numbers]] numbers]], because they have to contain said illegal number.
10th Apr '16 11:28:09 AM Robinton
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** Another weird probability distribution is the Cauchy Distribution, which does not have a well-defined mean because the integral does not converge.

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** Another weird probability distribution is the [[http://en.wikipedia.org/wiki/Cauchy_distribution Cauchy Distribution, Distribution]], which does not have a well-defined mean because the integral does not converge.



** There's also the Pigeonhole Principle, complete with proof, on explaining that if you have ''x+1'' elements and ''x'' slots, one slot will have at least two elements.

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** There's also the [[http://en.wikipedia.org/wiki/Pigeonhole_principle Pigeonhole Principle, Principle]], complete with proof, on explaining that if you have ''x+1'' elements and ''x'' slots, one slot will have at least two elements.
10th Apr '16 11:24:47 AM Robinton
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** If you have a 50% chance of winning one cent, a 25% chance of winning two, etc., the expected winnings is infinite, despite the fact that it's impossible to win an infinite amount of money.

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** If you have a 50% chance of winning one cent, a 25% chance of winning two, a 12.5% chance of winning four, etc., the expected winnings is infinite, despite the fact that it's impossible to win an infinite amount of money.
24th Mar '16 2:55:01 AM 06tele
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* And then there's Whitehead and Russell's ''Principia Mathematica'', a multi-volume opus intended to construct all of mathematics from the most basic of axioms (such as "every statement is either true or false"). After 379 pages of incomprehensibly dense notation, it succeeds in proving that [[https://en.wikipedia.org/wiki/Image:Principia_Mathematica_theorem_54-43.png 1+1=2]]. And then Gödel's [[https://en.wikipedia.org/wiki/Incompleteness_theorem Incompleteness Theorem]] undermined the whole thing using a real-life LogicBomb.

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* And then there's Whitehead and Russell's ''Principia Mathematica'', a multi-volume opus intended to construct all of mathematics from the most basic of axioms (such as "every statement is either true or false"). After 379 pages of incomprehensibly dense notation, it succeeds in proving that [[https://en.wikipedia.org/wiki/Image:Principia_Mathematica_theorem_54-43.png 1+1=2]].1+1=2. And then Gödel's [[https://en.wikipedia.org/wiki/Incompleteness_theorem Incompleteness Theorem]] undermined the whole thing using a real-life LogicBomb.
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