more on this theme | more from this thinker
Full Idea
In classical semantics the function of singular terms is to refer, and that of quantifiers, to range over appropriate domains of entities.
Gist of Idea
In classical semantics singular terms refer, and quantifiers range over domains
Source
Øystein Linnebo (Philosophy of Mathematics [2017], 7.1)
Book Ref
Linnebo,Øystein: 'Philosophy of Mathematics' [Princeton 2017], p.101
| 23448 | Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo] |
| 23441 | Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo] |
| 23442 | Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo] |
| 23443 | The axioms of group theory are not assertions, but a definition of a structure [Linnebo] |
| 23444 | To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo] |
| 23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
| 23446 | You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo] |
| 23447 | In classical semantics singular terms refer, and quantifiers range over domains [Linnebo] |