Rigorous Reasoning

Concept · Foundations

Existential Quantifier

The quantifier ∃x, read 'there exists x such that,' which claims that the formula it binds holds for at least one object in the domain.

Why it matters

Existential quantification is how predicate logic expresses 'some S is P' and underlies reasoning about witnesses and examples.

Where this shows up

Units and lessons using this concept

Following the links will take you to the page where this term is introduced in context.

Related

Other concepts in Foundations

A, E, I, O PropositionsAccessibility RelationArgumentAtomic StatementAuthorial IntentBase RateBayes FactorBurden of Proof in InterpretationCalibrationCardinalityCartesian ProductCategorical Proposition