Rigorous Reasoning

Concept · Foundations

Domain of Discourse

The set of objects that the variables of a predicate-logic formula are taken to range over in a given interpretation.

Why it matters

The domain fixes what 'everything' and 'something' mean in a particular context, and many translation errors come from leaving it unclear.

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