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 37:55
+
: 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 42:25
 
{{#evu:https://vimeo.com/127338218|alignment=left|valignment=top|dimensions="640"}}
 
{{#evu:https://vimeo.com/127338218|alignment=left|valignment=top|dimensions="640"}}
 
* '''Intro'''
 
* '''Intro'''
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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
 
** [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
 
* '''A Mathematical Mystery Tour''' 3:00
# '''Proof Beyond Doubt''' 4:01
+
# '''Proof Beyond Doubt''' 5:06
## [https://en.wikipedia.org/wiki/Mathematical_proof Proof]
+
## [https://en.wikipedia.org/wiki/Mathematical_proof Proof] 5:45
## [https://en.wikipedia.org/wiki/Euclid%27s_theorem Euclid's theorem] 4:42
+
## [https://en.wikipedia.org/wiki/Euclid%27s_theorem Euclid's theorem] 6:58
## [https://en.wikipedia.org/wiki/Twin_prime Are there infinitely many twin primes?] 5:05
+
## [https://en.wikipedia.org/wiki/Twin_prime Are there infinitely many twin primes?] 7:25
## [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] 7:50
## [https://en.wikipedia.org/wiki/Goldbach%27s_conjecture Goldbach's conjecture] 6:17
+
## [https://en.wikipedia.org/wiki/Mertens_conjecture Mertens conjecture] 8:17
## [https://en.wikipedia.org/wiki/Mertens_conjecture Mertens conjecture] 6:45
+
## [https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem Fermat's Last Theorem] 9:10
## [https://en.wikipedia.org/wiki/Euclid%27s_Elements Euclid's Elements] 7:25
+
## [https://en.wikipedia.org/wiki/Paul_Erd%C5%91s#Erd.C5.91s.27_problems Erdős' problems] 12:39
## [https://en.wikipedia.org/wiki/Chinese_mathematics Chinese mathematics] 7:52
+
# '''The Foundations of Mathematics''' 13:21
## [https://en.wikipedia.org/wiki/Egyptian_mathematics Egyptian mathematics] 8:12
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## [https://en.wikipedia.org/wiki/Chinese_mathematics Chinese mathematics] 13:25
## [https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem Fermat's Last Theorem] 9:40
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## [https://en.wikipedia.org/wiki/Egyptian_mathematics Egyptian mathematics] 13:42
# '''The Language of Abstraction''' 13:30
+
## [https://en.wikipedia.org/wiki/Euclid%27s_Elements Euclid's Elements] 15:00
## [https://en.wikipedia.org/wiki/Nicolas_Bourbaki Bourbaki Group] 13:34
+
## [https://en.wikipedia.org/wiki/Parallel_postulate Parallel postulate] 16:04
## [https://en.wikipedia.org/wiki/Abstract_structure Abstract structure] 16:40
+
## [https://en.wikipedia.org/wiki/Non-Euclidean_geometry Non-Euclidean geometry] 16:10
## [https://en.wikipedia.org/wiki/Euclidean_geometry Euclidean geometry] 17:22
+
## [https://en.wikipedia.org/wiki/Hypercube Hypercube] 16:24
## [https://en.wikipedia.org/wiki/Non-Euclidean_geometry Non-Euclidean geometry] 17:55
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## [https://en.wikipedia.org/wiki/Klein_bottle Klein bottle] 17:00
## [https://en.wikipedia.org/wiki/Hypercube Hypercube] 18:18
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# '''Discovery or Invention''' 19:21
## [https://en.wikipedia.org/wiki/Klein_bottle Klein bottle] 19:18
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## [https://en.wikipedia.org/wiki/Platonism Platonism] 19:49
# '''Discovery or Invention''' 20:28
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## [https://en.wikipedia.org/wiki/Pythagorean_theorem Pythagorean theorem] 19:57
## [https://en.wikipedia.org/wiki/History_of_mathematics History of mathematics] 20:30
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## [https://en.wikipedia.org/wiki/Golden_rectangle Golden rectangle] 20:48
## [https://en.wikipedia.org/wiki/Platonism Platonism] 21:25
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# '''A Question of Infinity''' 24:20
## [https://en.wikipedia.org/wiki/Pythagorean_theorem Pythagorean theorem] 21:31
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## [https://en.wikipedia.org/wiki/Infinity Infinity] 24:20
## [https://en.wikipedia.org/wiki/Golden_rectangle Golden rectangle] 21:45
+
## [https://en.wikipedia.org/wiki/Pi Pi] 24:50
## [https://en.wikipedia.org/wiki/Golden_ratio Golden ratio]
+
## [https://en.wikipedia.org/wiki/Mersenne_prime Mersenne prime] 26:36
# '''Playing the Numbers''' 23:23
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## [https://en.wikipedia.org/wiki/Countable_set Countable set] 27:58
## [https://en.wikipedia.org/wiki/Pi Pi] 23:28
+
## [https://en.wikipedia.org/wiki/Uncountable_set Uncountable set] 30:00
## [https://en.wikipedia.org/wiki/Mersenne_prime Mersenne prime] 25:17
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## [https://en.wikipedia.org/wiki/Aleph_number Aleph number] 30:50
# '''The Taming of the Infinite''' 26:47
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# '''Cracks in the Foundation''' 32:06
## [https://en.wikipedia.org/wiki/Infinity Infinity] 26:47
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## [https://en.wikipedia.org/wiki/Mathematical_logic Mathematical logic] 32:06
## [https://en.wikipedia.org/wiki/Countable_set Countable set] 27:18
+
## [https://en.wikipedia.org/wiki/Russell%27s_paradox Russell's paradox] 32:32
## [https://en.wikipedia.org/wiki/Uncountable_set Uncountable set] 28:35
+
## [https://en.wikipedia.org/wiki/Principia_Mathematica Principia Mathematica] 36:26
## [https://en.wikipedia.org/wiki/Aleph_number Aleph number] 29:27
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# '''Back to Basics''' 38:32
# '''Contradictions and Paradoxes''' 30:32
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## [https://en.wikipedia.org/wiki/Nicolas_Bourbaki Bourbaki Group] 38:40
## [https://en.wikipedia.org/wiki/Mathematical_logic Mathematical logic] 30:50
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## [https://en.wikipedia.org/wiki/Hilbert%27s_program Hilbert's program] 41:25
## [https://en.wikipedia.org/wiki/Russell%27s_paradox Russell's paradox] 32:33
+
## [[White Knight]] 42:25
## [https://en.wikipedia.org/wiki/Principia_Mathematica Principia Mathematica] 35:00
+
# '''The Uncertain Future''' 44:46
## [https://en.wikipedia.org/wiki/Hilbert%27s_program Hilbert's program] 36:50
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## [https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems Gödel's incompleteness theorems] 44:52
## [https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems Gödel's incompleteness theorems] 40:13
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## [https://en.wikipedia.org/wiki/Continuum_hypothesis Continuum hypothesis] 46:30
# '''Incomplete Future''' 41:30
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## [https://en.wikipedia.org/wiki/Four_color_theorem Four color theorem]  
## [https://en.wikipedia.org/wiki/Four_color_theorem Four color theorem] 45:10
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## [https://en.wikipedia.org/wiki/Computer-assisted_proof Computer-assisted proof]
## [https://en.wikipedia.org/wiki/Computer-assisted_proof Computer-assisted proof] 46:00
 
  
 
=References=
 
=References=

Revision as of 13:34, 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 42:25
  1. Proof Beyond Doubt 5:06
    1. Proof 5:45
    2. Euclid's theorem 6:58
    3. Are there infinitely many twin primes? 7:25
    4. Goldbach's conjecture 7:50
    5. Mertens conjecture 8:17
    6. Fermat's Last Theorem 9:10
    7. Erdős' problems 12:39
  2. The Foundations of Mathematics 13:21
    1. Chinese mathematics 13:25
    2. Egyptian mathematics 13:42
    3. Euclid's Elements 15:00
    4. Parallel postulate 16:04
    5. Non-Euclidean geometry 16:10
    6. Hypercube 16:24
    7. Klein bottle 17:00
  3. Discovery or Invention 19:21
    1. Platonism 19:49
    2. Pythagorean theorem 19:57
    3. Golden rectangle 20:48
  4. A Question of Infinity 24:20
    1. Infinity 24:20
    2. Pi 24:50
    3. Mersenne prime 26:36
    4. Countable set 27:58
    5. Uncountable set 30:00
    6. Aleph number 30:50
  5. Cracks in the Foundation 32:06
    1. Mathematical logic 32:06
    2. Russell's paradox 32:32
    3. Principia Mathematica 36:26
  6. Back to Basics 38:32
    1. Bourbaki Group 38:40
    2. Hilbert's program 41:25
    3. White Knight 42:25
  7. The Uncertain Future 44:46
    1. Gödel's incompleteness theorems 44:52
    2. Continuum hypothesis 46:30
    3. Four color theorem
    4. Computer-assisted proof

References

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