Games Mathematicians Play
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|Gregory McColm; Dept. of Mathematics, Univ. of South Florida|
|Mathematical games from a logical point of view: strategies for games and using games in descriptive complexity. Contents include Bisimulation; Foundations; Game Theoretic Semantics; and Guarded Quantifiers. With an outline of the problem of what it means (mathematically) to be able to win a game, no matter what your opponent does: usually (but not always) this means having a "winning strategy" - and applications of combinatorial games to logic, primarily to "finite model theory," the study of finite structures like finite groups, finite graphs, etc.|
|Levels:||High School (9-12), College|
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