How does a winning strategy relate to the truth of a first-order sentence?

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In the philosophy of logic, the relationship between a winning strategy and the truth of a first-order sentence is grounded in the application of game theory to logical semantics.

Rather than viewing truth solely through static interpretations, this approach treats the semantics of first-order logic as a series of rule-governed activities or "language-games." In this framework, a game is constructed as an attempt to verify a specific first-order sentence. The truth of that sentence is defined by the existence of a winning strategy for the player attempting to verify it within that game.1