Philosophy Dictionary of ArgumentsHome | |||
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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. | |||
Author | Concept | Summary/Quotes | Sources |
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Peter Geach on Syntax - Dictionary of Arguments
I 116 Syntax: replacing salva congruitate: the word chain remains correct when it is replaced. QuineVs: Replacing changes syntax: e.g. Copernicus was a complete idiot, if and only if the earth is adisk. - different ranges: a) Copernicus with predicate + sentence b) complex predicate. Then there is no ambiguous word chain, but different analyzes are possible. Ambiguity: "An astronomer is a great idiot iff the earth is flat" can be seen as an operator (like negation). Different brackets are possible. Syntax/Quine/Geach: Quine's 1st Syntactic insight: spurious names: these are a problem of range - for real names the problem does not exist. >Names/Quine, >Range/Quine, >Improper names. GeachVsQuine: he, himself blurs the distinction by regarding names as abbreviations of certain descriptions. >Descriptions/Quine. I 120 3rd Syntactic insight of Quine: E.g. "lx (2x² + 3x³)". This function of a number: twice its square plus three times its third power - such complex descriptions can be eliminated by usage definition. (Russell):> Relative-clause. I 126 4th Syntactic insight of Quine: Introducing a predicate by a schema letter F. >Schematic letters/Quine. Problem: E.g.: "Every sentence or its opposite is true" must not become "(Every sentence is true) or (Every sentence is not true)". Solution: "F() is then -__ or __s opposite is true". Geach: sub-clauses (relative-clauses) and pronouns are not mere substitutes. - This is even a mistake in modern logic books. >Clauses, >Substitution, >Proxy._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Gea I P.T. Geach Logic Matters Oxford 1972 |