Rigorous Reasoning

Concept · Foundations

Scope and Binding

The scope of a quantifier is the portion of a formula it governs; a variable occurrence is bound if it falls within the scope of a quantifier using the same variable, and free otherwise.

Why it matters

Most formalization errors in predicate logic come from misjudging quantifier scope or leaving variables unintentionally free.

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