Philosophy Lexicon of Arguments

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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.

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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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Books on Amazon
I 126
4 Quine s fourth syntactical insight introducing a predicate with schema letters. - Problem: E.g. Each sentence or its opposite is true - that must not be: (Each sentence is true) or (...) - 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.


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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.

Gea I
P.T. Geach
Logic Matters Oxford 1972


> Counter arguments against Geach



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Ed. Martin Schulz, access date 2017-07-24