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Raymond Smullyan

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==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), [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 3637:4555
{{#evu:https://vimeo.com/127338218|alignment=left|valignment=top|dimensions="640"}}
* '''Intro'''
** [https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem Fermat's Last Theorem] 01:3040** [https://en.wikipedia.org/wiki/Goldbach%27s_conjecture Goldbach's conjecture] 01:3949** [https://en.wikipedia.org/wiki/Riemann_hypothesis Riemann hypothesis] 02:5202** [https://en.wikipedia.org/wiki/4-manifold#Special_phenomena_in_4-dimensions Classification Problem for 4-D Manifolds] 12:0212** [https://en.wikipedia.org/wiki/P_versus_NP_problem P versus NP problem] 12:1626** [https://en.wikipedia.org/wiki/Invariant_subspace_problem Invariant Subspace Problem] for [https://en.wikipedia.org/wiki/Hilbert_space Hilbert Spaces] 12:2838* '''A Mathematical Mystery Tour''' 13:5000# '''Proof Beyond Doubt''' 24:5101** ## [https://en.wikipedia.org/wiki/Mathematical_proof Proof]** ## [https://en.wikipedia.org/wiki/Euclid%27s_theorem Euclid's theorem] 34:3242** ## [https://en.wikipedia.org/wiki/Twin_prime Are there infinitely many twin primes?] 35:5505** ## [https://en.wikipedia.org/wiki/Paul_Erd%C5%91s#Erd.C5.91s.27_problems Erdős' problems] 45:2333** ## [https://en.wikipedia.org/wiki/Goldbach%27s_conjecture Goldbach's conjecture] 56:0717** ## [https://en.wikipedia.org/wiki/Mertens_conjecture Mertens conjecture] 56:3545** ## [https://en.wikipedia.org/wiki/Euclid%27s_Elements Euclid's Elements] 67:1525** ## [https://en.wikipedia.org/wiki/Chinese_mathematics Chinese mathematics] 67:4252** ## [https://en.wikipedia.org/wiki/Egyptian_mathematics Egyptian mathematics] 78:0212** ## [https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem Fermat's Last Theorem] 89:3040# '''The Language of Abstraction''' 1213:2030** ## [https://en.wikipedia.org/wiki/Nicolas_Bourbaki Bourbaki Group] 1213:2434** ## [https://en.wikipedia.org/wiki/Abstract_structure Abstract structure] 1516:3040** ## [https://en.wikipedia.org/wiki/Euclidean_geometry Euclidean geometry] 1617:1222** ## [https://en.wikipedia.org/wiki/Non-Euclidean_geometry Non-Euclidean geometry] 1617:4555** ## [https://en.wikipedia.org/wiki/Hypercube Hypercube] 1718:0818** ## [https://en.wikipedia.org/wiki/Klein_bottle Klein bottle] 19:18:08# '''Discovery or Invention''' 1920:1828** ## [https://en.wikipedia.org/wiki/History_of_mathematics History of mathematics] 1920:2030** ## [https://en.wikipedia.org/wiki/Platonism Platonism] 2021:1525** ## [https://en.wikipedia.org/wiki/Pythagorean_theorem Pythagorean theorem] 2021:2131** ## [https://en.wikipedia.org/wiki/Golden_rectangle Golden rectangle] 2021:3545** ## [https://en.wikipedia.org/wiki/Golden_ratio Golden ratio]# '''Playing the Numbers''' 2223:1323** ## [https://en.wikipedia.org/wiki/Pi Pi] 2223:1828** ## [https://en.wikipedia.org/wiki/Mersenne_prime Mersenne prime] 2425:0717# '''The Taming of the Infinite''' 2526:3747** ## [https://en.wikipedia.org/wiki/Infinity Infinity] 2526:3747** ## [https://en.wikipedia.org/wiki/Countable_set Countable set] 2627:0818** ## [https://en.wikipedia.org/wiki/Uncountable_set Uncountable set] 2728:2535** ## [https://en.wikipedia.org/wiki/Aleph_number Aleph number] 2829:1727# '''Contradictions and Paradoxes''' 2930:2232** ## [https://en.wikipedia.org/wiki/Mathematical_logic Mathematical logic] 2930:4050** ## [https://en.wikipedia.org/wiki/Russell%27s_paradox Russell's paradox] 3132:2333** ## [https://en.wikipedia.org/wiki/Principia_Mathematica Principia Mathematica] 3335:5000** ## [https://en.wikipedia.org/wiki/Hilbert%27s_program Hilbert's program] 3536:4050** ## [https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems Gödel's incompleteness theorems] 3940:0313# '''Incomplete Future''' 4041:2030** ## [https://en.wikipedia.org/wiki/Four_color_theorem Four color theorem] 4445:0010** ## [https://en.wikipedia.org/wiki/Computer-assisted_proof Computer-assisted proof] 4446:5000
=References=

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