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The Strategic Balance of Games in Logic

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arxiv 2212.01658 v2 pith:5ARAU5AJ submitted 2022-12-03 math.LO

Jouko Väänänen This is my paper
classification math.LO
keywords gamegamesbalancelogicstrategicaffinityanothercall
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Truth, consistency and elementary equivalence can all be characterised in terms of games, namely the so-called evaluation game, the model-existence game, and the Ehrenfeucht-Fraisse game. We point out the great affinity of these games to each other and call this phenomenon the strategic balance in logic. In particular, we give explicit translations of strategies from one game to another.

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  1. Meaning as Use, Application, Employment, Purpose, Usefulness

    math.HO 2025-06 conditional novelty 4.0 of 10

    A computer-assisted reading of Wittgenstein's Nachlass is presented as evidence that 'meaning as use' persists continuously from his 1914 notebooks to his final manuscripts, supporting a proof-theoretic 'meaning as us...

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