Philosophy Dictionary of ArgumentsHome
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| Proof Theory: Proof Theory in mathematics and logic is about the existence or nonexistence of finite strings of symbols allowing to derive a statement. Therefore, proof theory is a part of the syntax, as opposed to the model theory, which belongs to the semantics. See also model theory, syntax, semantics._____________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. | |||
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Logic Texts on Proof Theory - Dictionary of Arguments
Hoyningen-Huene II 257ff Proof Theory/Hoyningen-Huene: here the abstraction trend is driven even further than with the model theory. - To define the metalogical terms we abstract from the meaning of the connectives. - The procedure is purely syntactic. - A calculus is nothing more than a system of production rules for printing images. > Uninterpreted formal system - the calculi differ in their use of the operators. >Model theory, >Calculus, >Interpretation, >Valuation, >Syntax, >Connective. _____________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. |
Logic Texts Me I Albert Menne Folgerichtig Denken Darmstadt 1988 HH II Hoyningen-Huene Formale Logik, Stuttgart 1998 Re III Stephen Read Philosophie der Logik Hamburg 1997 Sal IV Wesley C. Salmon Logic, Englewood Cliffs, New Jersey 1973 - German: Logik Stuttgart 1983 Sai V R.M.Sainsbury Paradoxes, Cambridge/New York/Melbourne 1995 - German: Paradoxien Stuttgart 2001 |
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> Counter arguments against Logic Texts
> Counter arguments in relation to Proof Theory
Ed. Martin Schulz, access date 2024-04-28