|Introduction, philosophy: the introduction of objects establishes rules for the use of linguistic expressions for the objects, not a determination or description of these objects. See also definitions, use, language, expressiveness, localization._____________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.|
Books on Amazon
Introduction/Abstract Objects/Abstraction/Wright: Thesis volumes as well as directions and numbers are to be introduced by abstraction.
Field: E.g. simple abstraction: is suitable for saying that our speech of directions is related to parallelism - but this does not quite correspond appropriately for numbers as related to non-numerical speech (and "non-quantification").
Introduction/Field/(s): the use of expressions must follow according to the rules of their introduction.
_____________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