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Graduate Infinite set, disjunction, and tautology
Let {A1, A2, A3, ... } be an infinite set of formulas in propositional logic. Assume that for every valuation v there is some n (depending on v) such that v(An) = 1. Show then that there is some fixed m with A1 \vee A2 \vee ... \vee Am a tautology. This is equivalent to showing that v(Ai)...- iambored
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- Infinite Set
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- Forum: Set Theory, Logic, Probability, Statistics