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* [[Raymond Smullyan]] ('''1981'''). ''[http://www.chesslund.com/detail.asp?id=2206&n=Smullyan-The-Chess-Mysteries-of-the-Arabian-Knights The Chess Mysteries of the Arabian Knights ]''. [https://en.wikipedia.org/wiki/Alfred_A._Knopf Knopf] <ref>[http://de.wikipedia.org/wiki/Schachkomposition#Retrospektive_.28Retroanalyse.29 Retrospektive (Retroanalyse)] from German Wikipedia, [[Raymond Smullyan]], [https://en.wikipedia.org/wiki/The_Guardian Manchester Guardian], 1957</ref>
: <fentt border="double" style="font-size:24pt">8/8/8/1r1b4/B7/8/8/3k4</fentt>
: Where is the white king? <ref>on c3, capturing a pawn from b3, which took on c3 [[En passant|en passant]] after 1... Bd5+ 2. c4</ref>
* [[Raymond Smullyan]] ('''1982'''). ''The Lady or the Tiger? - ladies, tigers, and more logic puzzles''. [https://en.wikipedia.org/wiki/Random_House Random House] <ref>inspired by [https://en.wikipedia.org/wiki/Frank_R._Stockton Frank R. Stockton] ('''1882'''). ''[https://en.wikipedia.org/wiki/The_Lady,_or_the_Tiger%3F The Lady, or the Tiger?]'' [https://en.wikipedia.org/wiki/The_Century_Magazine The Century Magazine]</ref> <ref>[http://www.spiegel.de/spiegel/print/d-14345297.html Tiefes Wasser], [https://en.wikipedia.org/wiki/Der_Spiegel Der Spiegel] 32/1982 (German)</ref>
* [[Raymond Smullyan]] ('''1982'''). ''[http://www.mit.edu/people/dpolicar/writing/prose/text/epistemologicalNightmare.html An Epistemological Nightmare]''. [[Massachusetts Institute of Technology|MIT]] <ref>[https://en.wikipedia.org/wiki/Epistemology Epistemology from Wikipedia]</ref>
* [https://www.washingtontimes.com/news/2017/feb/14/joop-van-oosterom-and-raymond-smullyan-chess-lose/ In Joop van Oosterom and Raymond Smullyan, chess loses two colorful characters] by [https://www.washingtontimes.com/staff/david-r-sands/ David R. Sands], [https://en.wikipedia.org/wiki/The_Washington_Times Washington Times], February 14, 2017 <ref>[https://en.wikipedia.org/wiki/Joop_van_Oosterom Joop van Oosterom from Wikipedia]</ref>
==A Mathematical Mystery Tour==
* <span id="Video"></span>[https://vimeo.com/127338218 A Mathematical Mystery Tour] - [https://en.wikipedia.org/wiki/Horizon_%28BBC_TV_series%29 BBC Horizon Documentary] (1984), edited 1985 [https://en.wikipedia.org/wiki/Nova_(TV_series) Nova] version, [https://en.wikipedia.org/wiki/Vimeo Vimeo] Video: featuring [[Mathematician#Dieudonne|Jean Dieudonné]], [[Mathematician#Atiyah|Michael Atiyah]], [[Mathematician#GWMoore|Greg Moore]], [[Mathematician#Erdos|Paul Erdős]], [[Mathematician#Thom|René Thom]], [[Raymond Smullyan]], and [https://en.wikipedia.org/wiki/Ivor_Grattan-Guinness Ivor Grattan-Guinness] - [[White Knight]] at 3742:5525
{{#evu:https://vimeo.com/127338218|alignment=left|valignment=top|dimensions="640"}}
* '''Intro'''
** [https://en.wikipedia.org/wiki/Invariant_subspace_problem Invariant Subspace Problem] for [https://en.wikipedia.org/wiki/Hilbert_space Hilbert Spaces] 2:38
* '''A Mathematical Mystery Tour''' 3:00
# '''Proof Beyond Doubt''' 45:0106## [https://en.wikipedia.org/wiki/Mathematical_proof Proof]5:45## [https://en.wikipedia.org/wiki/Euclid%27s_theorem Euclid's theorem] 46:4258## [https://en.wikipedia.org/wiki/Twin_prime Are there infinitely many twin primes?] 57:05## [https://en.wikipedia.org/wiki/Paul_Erd%C5%91s#Erd.C5.91s.27_problems Erdős' problems] 5:3325## [https://en.wikipedia.org/wiki/Goldbach%27s_conjecture Goldbach's conjecture] 67:1750## [https://en.wikipedia.org/wiki/Mertens_conjecture Mertens conjecture] 68:4517## [https://en.wikipedia.org/wiki/EuclidFermat%27s_Elements Euclid27s_Last_Theorem Fermat's ElementsLast Theorem] 79:2510## [https://en.wikipedia.org/wiki/Chinese_mathematics Chinese mathematicsPaul_Erd%C5%91s#Erd.C5.91s.27_problems Erdős' problems] 712:5239## [https'''The Foundations of Mathematics''' 13://en.wikipedia.org/wiki/Egyptian_mathematics Egyptian mathematics] 8:1221## [https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem Fermat's Last TheoremChinese_mathematics Chinese mathematics] 9:40# '''The Language of Abstraction''' 13:3025## [https://en.wikipedia.org/wiki/Nicolas_Bourbaki Bourbaki GroupEgyptian_mathematics Egyptian mathematics] 13:3442## [https://en.wikipedia.org/wiki/Abstract_structure Abstract structureEuclid%27s_Elements Euclid's Elements] 1615:4000## [https://en.wikipedia.org/wiki/Euclidean_geometry Euclidean geometryParallel_postulate Parallel postulate] 1716:2204## [https://en.wikipedia.org/wiki/Non-Euclidean_geometry Non-Euclidean geometry] 1716:5510## [https://en.wikipedia.org/wiki/Hypercube Hypercube] 1816:1824## [https://en.wikipedia.org/wiki/Klein_bottle Klein bottle] 1917:1800# '''Discovery or Invention''' 2019:28## [https://en.wikipedia.org/wiki/History_of_mathematics History of mathematics] 20:3021## [https://en.wikipedia.org/wiki/Platonism Platonism] 2119:2549## [https://en.wikipedia.org/wiki/Pythagorean_theorem Pythagorean theorem] 2119:3157## [https://en.wikipedia.org/wiki/Golden_rectangle Golden rectangle] 21:45## [https20://en.wikipedia.org/wiki/Golden_ratio Golden ratio]48# '''Playing the NumbersA Question of Infinity''' 2324:2320## [https://en.wikipedia.org/wiki/Pi PiInfinity Infinity] 2324:2820## [https://en.wikipedia.org/wiki/Mersenne_prime Mersenne primePi Pi] 2524:17# '''The Taming of the Infinite''' 26:4750## [https://en.wikipedia.org/wiki/Infinity InfinityMersenne_prime Mersenne prime] 26:4736## [https://en.wikipedia.org/wiki/Countable_set Countable set] 27:1858## [https://en.wikipedia.org/wiki/Uncountable_set Uncountable set] 2830:3500## [https://en.wikipedia.org/wiki/Aleph_number Aleph number] 2930:2750# '''Contradictions and ParadoxesCracks in the Foundation''' 3032:3206## [https://en.wikipedia.org/wiki/Mathematical_logic Mathematical logic] 3032:5006## [https://en.wikipedia.org/wiki/Russell%27s_paradox Russell's paradox] 32:3332## [https://en.wikipedia.org/wiki/Principia_Mathematica Principia Mathematica] 3536:0026# '''Back to Basics''' 38:32## [https://en.wikipedia.org/wiki/Nicolas_Bourbaki Bourbaki Group] 38:40## [https://en.wikipedia.org/wiki/Hilbert%27s_program Hilbert's program] 3641:25## [[White Knight]] 42:25# '''The Uncertain Future''' 44:5046## [https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems Gödel's incompleteness theorems] 4044:1352# '''Incomplete Future''' 41# [https://en.wikipedia.org/wiki/Continuum_hypothesis Continuum hypothesis] 46:30## [https://en.wikipedia.org/wiki/Four_color_theorem Four color theorem] 4546:1038## [https://en.wikipedia.org/wiki/Computer-assisted_proof Computer-assisted proof] 4650:0004
=References=
'''[[People|Up one Level]]'''
[[Category:Mathematician|Smullyan]]
[[Category:Videos|Smullyan]]
