Definition:Universal Negative/Also denoted as

Universal Negative: Also denoted as

Traditional logic abbreviated the universal negative as $\mathbf E$.

Thus, when examining the categorical syllogism, the universal negative $\forall x: \map S x \implies \neg \map P x$ is often abbreviated:

$\map {\mathbf E} {S, P}$

Sources

• 1965: E.J. Lemmon: Beginning Logic ... (previous) ... (next): Chapter $4$: The Predicate Calculus $2$: $4$ The Syllogism