Quantifier Logic

Quantifier logic is a branch of mathematical logic that involves expressions using quantifiers, which specify the quantity of subjects to which a statement applies. The two main quantifiers are "forall" (∀), meaning "for all" or "every," and "exists" (∃), meaning "there exists" or "at least one." For example, "∀x (P(x))" means "for every x, P(x) is true," while "∃y (Q(y))" means "there is at least one y for which Q(y) is true." Quantifier logic helps in formal reasoning about mathematical structures and the relationships within them, serving as a foundation for model theory and other logical frameworks.