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The Correspondence Theory of Truth

This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.

State

The correspondence theory: a belief is true when it matches how the world actually is—truth is agreement between statement and fact.

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"The window is cracked" is true if the window is cracked. Nothing fancier: the statement answers to the glass.

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The theory's challenge is explaining the match. What exactly does a belief about justice correspond to?