Linked from
The 12 pages that link to Domain of discourse, each with the reason it gives.
First-order logicRelated: The domain fixes which objects first-order variables can refer to.
Predicate logicRelated: A formula's domain determines which objects its quantified claims cover.
CounterexampleRelated: A case is a counterexample only if it belongs to the claim's stated domain.
QuantifierRelated: A quantifier’s range depends on which objects the domain contains.
Set-builder notationRelated: The domain clarifies which objects the defining condition considers.
PredicateRelated: A domain determines which objects a predicate can apply to.
Existence theoremRelated: Existence depends on which objects the theorem permits as candidates.