17743 | De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki] |
9991 | For Frege the variable ranges over all objects [Frege, by Tait] |
9871 | Frege always, and fatally, neglected the domain of quantification [Dummett on Frege] |
10656 | With 'extensive connection', boundary elements are not included in domains [Whitehead, by Varzi] |
10042 | Reference to a totality need not refer to a conjunction of all its elements [Gödel] |
10790 | Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)] |
10791 | Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)] |
10536 | Frege's domain for variables is all objects, but modern interpretations first fix the domain [Dummett] |
18914 | Davidson controversially proposed to quantify over events [Davidson] |
10776 | The main quantifiers extend 'and' and 'or' to infinite domains [Tharp] |
13818 | If we allow empty domains, we must allow empty names [Bostock] |
10832 | '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos] |
17787 | Big logic has one fixed domain, but standard logic has a domain for each interpretation [Mayberry] |
10007 | Quantifiers for domains and for inference come apart if there are no entities [Hofweber] |
13449 | We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano] |
13450 | Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano] |