Difference between revisions of "Raymond Smullyan"

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==A Mathematical Mystery Tour==
 
==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
 
* <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 36:45
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: 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 37:55
 
{{#evu:https://vimeo.com/127338218|alignment=left|valignment=top|dimensions="640"}}
 
{{#evu:https://vimeo.com/127338218|alignment=left|valignment=top|dimensions="640"}}
 
* '''Intro'''
 
* '''Intro'''
** [https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem Fermat's Last Theorem] 0:30
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** [https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem Fermat's Last Theorem] 1:40
** [https://en.wikipedia.org/wiki/Goldbach%27s_conjecture Goldbach's conjecture] 0:39
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** [https://en.wikipedia.org/wiki/Goldbach%27s_conjecture Goldbach's conjecture] 1:49
** [https://en.wikipedia.org/wiki/Riemann_hypothesis Riemann hypothesis] 0:52
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** [https://en.wikipedia.org/wiki/Riemann_hypothesis Riemann hypothesis] 2:02
** [https://en.wikipedia.org/wiki/4-manifold#Special_phenomena_in_4-dimensions Classification Problem for 4-D Manifolds] 1:02
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** [https://en.wikipedia.org/wiki/4-manifold#Special_phenomena_in_4-dimensions Classification Problem for 4-D Manifolds] 2:12
** [https://en.wikipedia.org/wiki/P_versus_NP_problem P versus NP problem] 1:16
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** [https://en.wikipedia.org/wiki/P_versus_NP_problem P versus NP problem] 2:26
** [https://en.wikipedia.org/wiki/Invariant_subspace_problem Invariant Subspace Problem] for [https://en.wikipedia.org/wiki/Hilbert_space Hilbert Spaces] 1:28
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** [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''' 1:50
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* '''A Mathematical Mystery Tour''' 3:00
# '''Proof Beyond Doubt''' 2:51
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# '''Proof Beyond Doubt''' 4:01
** [https://en.wikipedia.org/wiki/Mathematical_proof Proof]
+
## [https://en.wikipedia.org/wiki/Mathematical_proof Proof]
** [https://en.wikipedia.org/wiki/Euclid%27s_theorem Euclid's theorem] 3:32
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## [https://en.wikipedia.org/wiki/Euclid%27s_theorem Euclid's theorem] 4:42
** [https://en.wikipedia.org/wiki/Twin_prime Are there infinitely many twin primes?] 3:55
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## [https://en.wikipedia.org/wiki/Twin_prime Are there infinitely many twin primes?] 5:05
** [https://en.wikipedia.org/wiki/Paul_Erd%C5%91s#Erd.C5.91s.27_problems Erdős' problems] 4:23
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## [https://en.wikipedia.org/wiki/Paul_Erd%C5%91s#Erd.C5.91s.27_problems Erdős' problems] 5:33
** [https://en.wikipedia.org/wiki/Goldbach%27s_conjecture Goldbach's conjecture] 5:07
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## [https://en.wikipedia.org/wiki/Goldbach%27s_conjecture Goldbach's conjecture] 6:17
** [https://en.wikipedia.org/wiki/Mertens_conjecture Mertens conjecture] 5:35
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## [https://en.wikipedia.org/wiki/Mertens_conjecture Mertens conjecture] 6:45
** [https://en.wikipedia.org/wiki/Euclid%27s_Elements Euclid's Elements] 6:15
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## [https://en.wikipedia.org/wiki/Euclid%27s_Elements Euclid's Elements] 7:25
** [https://en.wikipedia.org/wiki/Chinese_mathematics Chinese mathematics] 6:42
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## [https://en.wikipedia.org/wiki/Chinese_mathematics Chinese mathematics] 7:52
** [https://en.wikipedia.org/wiki/Egyptian_mathematics Egyptian mathematics] 7:02
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## [https://en.wikipedia.org/wiki/Egyptian_mathematics Egyptian mathematics] 8:12
** [https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem Fermat's Last Theorem] 8:30
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## [https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem Fermat's Last Theorem] 9:40
# '''The Language of Abstraction''' 12:20
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# '''The Language of Abstraction''' 13:30
** [https://en.wikipedia.org/wiki/Nicolas_Bourbaki Bourbaki Group] 12:24
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## [https://en.wikipedia.org/wiki/Nicolas_Bourbaki Bourbaki Group] 13:34
** [https://en.wikipedia.org/wiki/Abstract_structure Abstract structure] 15:30
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## [https://en.wikipedia.org/wiki/Abstract_structure Abstract structure] 16:40
** [https://en.wikipedia.org/wiki/Euclidean_geometry Euclidean geometry] 16:12
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## [https://en.wikipedia.org/wiki/Euclidean_geometry Euclidean geometry] 17:22
** [https://en.wikipedia.org/wiki/Non-Euclidean_geometry Non-Euclidean geometry] 16:45
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## [https://en.wikipedia.org/wiki/Non-Euclidean_geometry Non-Euclidean geometry] 17:55
** [https://en.wikipedia.org/wiki/Hypercube Hypercube] 17:08
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## [https://en.wikipedia.org/wiki/Hypercube Hypercube] 18:18
** [https://en.wikipedia.org/wiki/Klein_bottle Klein bottle] 18:08
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## [https://en.wikipedia.org/wiki/Klein_bottle Klein bottle] 19:18
# '''Discovery or Invention''' 19:18
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# '''Discovery or Invention''' 20:28
** [https://en.wikipedia.org/wiki/History_of_mathematics History of mathematics] 19:20
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## [https://en.wikipedia.org/wiki/History_of_mathematics History of mathematics] 20:30
** [https://en.wikipedia.org/wiki/Platonism Platonism] 20:15
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## [https://en.wikipedia.org/wiki/Platonism Platonism] 21:25
** [https://en.wikipedia.org/wiki/Pythagorean_theorem Pythagorean theorem] 20:21
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## [https://en.wikipedia.org/wiki/Pythagorean_theorem Pythagorean theorem] 21:31
** [https://en.wikipedia.org/wiki/Golden_rectangle Golden rectangle] 20:35
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## [https://en.wikipedia.org/wiki/Golden_rectangle Golden rectangle] 21:45
** [https://en.wikipedia.org/wiki/Golden_ratio Golden ratio]
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## [https://en.wikipedia.org/wiki/Golden_ratio Golden ratio]
# '''Playing the Numbers''' 22:13
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# '''Playing the Numbers''' 23:23
** [https://en.wikipedia.org/wiki/Pi Pi] 22:18
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## [https://en.wikipedia.org/wiki/Pi Pi] 23:28
** [https://en.wikipedia.org/wiki/Mersenne_prime Mersenne prime] 24:07
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## [https://en.wikipedia.org/wiki/Mersenne_prime Mersenne prime] 25:17
# '''The Taming of the Infinite''' 25:37
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# '''The Taming of the Infinite''' 26:47
** [https://en.wikipedia.org/wiki/Infinity Infinity] 25:37
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## [https://en.wikipedia.org/wiki/Infinity Infinity] 26:47
** [https://en.wikipedia.org/wiki/Countable_set Countable set] 26:08
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## [https://en.wikipedia.org/wiki/Countable_set Countable set] 27:18
** [https://en.wikipedia.org/wiki/Uncountable_set Uncountable set] 27:25
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## [https://en.wikipedia.org/wiki/Uncountable_set Uncountable set] 28:35
** [https://en.wikipedia.org/wiki/Aleph_number Aleph number] 28:17
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## [https://en.wikipedia.org/wiki/Aleph_number Aleph number] 29:27
# '''Contradictions and Paradoxes''' 29:22
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# '''Contradictions and Paradoxes''' 30:32
** [https://en.wikipedia.org/wiki/Mathematical_logic Mathematical logic] 29:40
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## [https://en.wikipedia.org/wiki/Mathematical_logic Mathematical logic] 30:50
** [https://en.wikipedia.org/wiki/Russell%27s_paradox Russell's paradox] 31:23
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## [https://en.wikipedia.org/wiki/Russell%27s_paradox Russell's paradox] 32:33
** [https://en.wikipedia.org/wiki/Principia_Mathematica Principia Mathematica] 33:50
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## [https://en.wikipedia.org/wiki/Principia_Mathematica Principia Mathematica] 35:00
** [https://en.wikipedia.org/wiki/Hilbert%27s_program Hilbert's program] 35:40
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## [https://en.wikipedia.org/wiki/Hilbert%27s_program Hilbert's program] 36:50
** [https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems Gödel's incompleteness theorems] 39:03
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## [https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems Gödel's incompleteness theorems] 40:13
# '''Incomplete Future''' 40:20
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# '''Incomplete Future''' 41:30
** [https://en.wikipedia.org/wiki/Four_color_theorem Four color theorem] 44:00
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## [https://en.wikipedia.org/wiki/Four_color_theorem Four color theorem] 45:10
** [https://en.wikipedia.org/wiki/Computer-assisted_proof Computer-assisted proof] 44:50
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## [https://en.wikipedia.org/wiki/Computer-assisted_proof Computer-assisted proof] 46:00
  
 
=References=
 
=References=

Revision as of 11:45, 28 November 2018

Home * People * Raymond Smullyan

Raymond Smullyan [1]

Raymond Merrill Smullyan, (May 25, 1919 - February 6, 2017 [2])
was an American mathematician, logician, philosopher, magician, pianist, and professor of Philosophy at Indiana University Bloomington. He held a Ph.D. in mathematics on the theory of formal systems from Princeton University under advisor Alonzo Church [3]. Smullyan was author of fourteen books and of numerous research articles on the topics of mathematical logic, first-order logic, set theory, theory of computable functions, recreational mathematics, mathematical games and puzzles, retrograde chess problems, and Eastern philosophy. He has been a contributor to Scientific American [4].

See also

Selected Publications

1959

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1970 ...

1980 ...

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Where is the white king?

1990 ...

2000 ...

2010 ...

External Links

Smullyan

A Mathematical Mystery Tour

featuring Jean Dieudonné, Michael Atiyah, Greg Moore, Paul Erdős, René Thom, Raymond Smullyan, and Ivor Grattan-Guinness - White Knight at 37:55
  1. Proof Beyond Doubt 4:01
    1. Proof
    2. Euclid's theorem 4:42
    3. Are there infinitely many twin primes? 5:05
    4. Erdős' problems 5:33
    5. Goldbach's conjecture 6:17
    6. Mertens conjecture 6:45
    7. Euclid's Elements 7:25
    8. Chinese mathematics 7:52
    9. Egyptian mathematics 8:12
    10. Fermat's Last Theorem 9:40
  2. The Language of Abstraction 13:30
    1. Bourbaki Group 13:34
    2. Abstract structure 16:40
    3. Euclidean geometry 17:22
    4. Non-Euclidean geometry 17:55
    5. Hypercube 18:18
    6. Klein bottle 19:18
  3. Discovery or Invention 20:28
    1. History of mathematics 20:30
    2. Platonism 21:25
    3. Pythagorean theorem 21:31
    4. Golden rectangle 21:45
    5. Golden ratio
  4. Playing the Numbers 23:23
    1. Pi 23:28
    2. Mersenne prime 25:17
  5. The Taming of the Infinite 26:47
    1. Infinity 26:47
    2. Countable set 27:18
    3. Uncountable set 28:35
    4. Aleph number 29:27
  6. Contradictions and Paradoxes 30:32
    1. Mathematical logic 30:50
    2. Russell's paradox 32:33
    3. Principia Mathematica 35:00
    4. Hilbert's program 36:50
    5. Gödel's incompleteness theorems 40:13
  7. Incomplete Future 41:30
    1. Four color theorem 45:10
    2. Computer-assisted proof 46:00

References

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