Rigorous Reasoning

Concept · Foundations

Quantifier

An operator that binds a variable and states how much of the domain it ranges over; the universal quantifier ∀ means 'for all,' and the existential quantifier ∃ means 'for some' or 'there exists.'

Why it matters

Quantifiers make generality and existence logically explicit and are the central innovation of predicate logic over categorical and propositional systems.

Where this shows up

Units and lessons using this concept

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Related

Other concepts in Foundations

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