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Counting To Infinity And Beyond On A Chessboard

11 месяцев назад1 views

cemoduzup

Cemoduzup

The numbers infinity plus 1 and infinity squared sound like they are made up, but mathematicians do use such numbers in set theory. They are called transfinite ordinals and they arise in combinatorial game theory. This video demonstrates an example of a transfinite value from a special game of chess.\r
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Correction: In the first example at 1:12 I said and wrote Ne6+. It should be Ne7+.\r
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My blog post summarizing this video: \r
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Paper referenced in video. C.D.A. Evans and J. D. Hamkins, “Transfinite game values in infinite chess,” Integers, vol. 14, p. Paper No.~G2, 36, new. \r
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Francis Su lecture on transfinite ordinals\r
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Joel David Hamkins lecture on infinite game theory\r
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Counting To Infinity And Beyond On A Chessboard
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