Philosophy Dictionary of ArgumentsHome
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| Schematic letters, logic: the schematic letters F, G, H ... stand in logical formulas for properties, in contrast to the variables x, y, z ..., which represent objects to which properties are attributed. E.g. (Ex) (Fx) "There is an F". Properties cannot be quantified over in first order logic. That is, it is impossible to express what number of properties belong to an object. See also quantification, quantifiability, second order logic, “Everything he said is true”, completeness._____________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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Peter Geach on Schematic Letters - Dictionary of Arguments
I 126 Quine's fourth syntactical insight is introducing a predicate with schema letters. >Schematic letters/Quine, >Predicates/Quine, >Quantification/Quine, >Properties/Quine. Problem: E.g. Each sentence or its opposite is true - that must not be: (Each sentence is true) or (each sentence is wrong). Solution: F () is then __ or __ s opposite is true. Geach: subordinate clauses (relative clauses) and pronouns are not mere substitutes. This is actually a bug in modern logic books. >Substitution, >Levels/Order, >Clauses, >Relative clauses._____________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 |
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> Counter arguments against Geach
> Counter arguments in relation to Schematic Letters
Ed. Martin Schulz, access date 2024-04-28