Philosophy Dictionary 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.

 
Author Concept Summary/Quotes Sources

Hartry Field on Schematic Letters - Dictionary of Arguments

II 115
Fragment/stronger/weaker/Field/(s): weak fragment of substitutional quantification (sQ): without substitutional quantifiers: here we handle schematic letters as variables for sets. - Then the schemes themselves are part of the language - not only their instances.
>Substitutional quantification
, >Stronger/weaker.

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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. 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.

Field I
H. Field
Realism, Mathematics and Modality Oxford New York 1989

Field II
H. Field
Truth and the Absence of Fact Oxford New York 2001

Field III
H. Field
Science without numbers Princeton New Jersey 1980

Field IV
Hartry Field
"Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67
In
Theories of Truth, Paul Horwich, Aldershot 1994


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Ed. Martin Schulz, access date 2024-04-28
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