infinite chess | Joel David Hamkins

CREATED: [2017-01-23 Mon 11:23]
ID: 249ce708-c67a-40e4-b32a-e938d960af3f
ROAM_REFS: http://jdh.hamkins.org/tag/infinite-chess/
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MTIME: [2025-07-17 Thu 22:11],[2017-01-23 Mon 11:23]

Abstract. I shall give a general introduction to the theory of infinite games, using infinite chess — chess played on an infinite edgeless chessboard — as a central example. Since chess, when won, is won at a finite stage of play, infinite chess is an example of what is known technically as an open game, and such games admit the theory of transfinite ordinal game values. I shall exhibit several interesting positions in infinite chess with very high transfinite game values. The precise value of the omega one of chess is an open mathematical question. This talk will include some of the latest progress, which includes a position with game value ω4

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