The two most common quantifiers are the universal quantifier and the existential quantifier. The maximum depth of nesting of quantifiers in a formula is called its quantifier rank. This includes attributive adjectives, determiners, quantifiers, possessives, and relative clauses. First-order predicate logic uses rules of inference to deal with logical quantifiers. Examples of operators and operations include, negation, conjunction, adverbs, adjectives, quantifiers and modal operators. In other infinitary logics, a subformula may be in the scope of infinitely many quantifiers. The question alternates existential and universal quantifiers. The universal and existential quantifiers given above generalize to the presheaf category. Existential quantifiers are dealt with by Skolemization. The rule for existential quantifiers introduces new constant symbols. Avoiding existential quantifiers is important in constructive mathematics and computing. Sigma-types can also be understood as existential quantifiers. The rules of inference enable the manipulation of quantifiers. Semantic analyses focus on the interpretation of the quantifiers. It freely combines path quantifiers and temporal operators.