|Syntax: Syntax is a collective term for systems that regulate the composition of signs into linear combinations (strings), as opposed to the semantics interpreting these strings. Syntax questions concern the permissibility, in short, the existence of combinations, not the resulting being true or false of the interpreted formulas. See also proof theory, existence, morphology, semantics, pragmatics, linguistics._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. |
Semantic/syntactic/singular term/denotation/ontology/FieldVsWright: it is not incorporated into the syntax that the singular term "4", denotes. - ((s) That means that the number is an object). - Just as in E.g. "God." - So syntax cannot be the criterion for existence.
Syntax/Field: syntactic formulations do not need the concept of the extension._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
Realism, Mathematics and Modality Oxford New York 1989
Truth and the Absence of Fact Oxford New York 2001
Science without numbers Princeton New Jersey 1980