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Ideas for 'Taking Rights Seriously', 'Essay on a Problem in the Doctrine of Chances' and 'Vagueness'

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5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Formal semantics defines validity as truth preserved in every model [Williamson]
     Full Idea: An aim of formal semantics is to define in mathematical terms a set of models such that an argument is valid if and only if it preserves truth in every model in the set, for that will provide us with a precise standard of validity.
     From: Timothy Williamson (Vagueness [1994], 5.3)