Definition:Particular Negative/Also denoted as

Particular Negative: Also denoted as

Traditional logic abbreviated the particular negative as $\mathbf O$.

Thus, when examining the categorical syllogism, the particular negative $\exists x: \map S x \land \neg \map P x$ is often abbreviated:

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

Sources

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