Rigorous Reasoning

Concept · Foundations

Instantiation

A proof move that goes from a quantified claim to a claim about a specific individual; universal instantiation picks any individual, while existential instantiation introduces a fresh name for a witness.

Why it matters

Instantiation is how quantified premises become usable in step-by-step derivations.

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