Does $\forall x (P(x) \rightarrow Q(x))$ mean that $(P(x) \rightarrow Q(x))$ is true for all truth assignments to $x$ or does it mean that $P(x)$ and $Q(x)$ can be true or false depending on the truth assignment to $x$?
2026-04-08 02:25:47.1775615147
Interpreting Quantified Predicate Formulas
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