Philosophy Dictionary of Arguments

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Variables, philosophy: variables are symbols in statements or logical formulas, in the place of which various, more precise determinations, such as constants or names of objects, can be inserted. In logic, free and bound variables are distinguished. Free variables, which are not bound by a quantifier such as (Ex) or (x), do not form a statement yet but a statement function such as e.g. "Fx" - "Something is F". Numbers or objects are not variable entities. The variability consists in the applicability of more than one possible value. See also free variables, bound variables, constants, individual constants, individual variables, substitution, substitutability, logic, statements, statement function, formulas.
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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

Max Black on Variables - Dictionary of Arguments

IV 145
Variable/constant/quotes/generalization/Black: a natural way to generalize a condition would be:
for all x, if x is a sentence, then "x" is true iff. x

Vs: this is nonsense, because: the symbol immediately following "then" (namely, "x") refers to a constant and not to a variable.

"x" is the 24th letter.

It would be just as absurd as to say "Tom" is true.

>Description levels
, >Levels, >Reference, >Quotation marks, >Generalization.

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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.

Black I
Max Black
"Meaning and Intention: An Examination of Grice’s Views", New Literary History 4, (1972-1973), pp. 257-279
In
Handlung, Kommunikation, Bedeutung, G. Meggle (Hg), Frankfurt/M 1979

Black II
M. Black
The Labyrinth of Language, New York/London 1978
German Edition:
Sprache. Eine Einführung in die Linguistik München 1973

Black III
M. Black
The Prevalence of Humbug Ithaca/London 1983

Black IV
Max Black
"The Semantic Definition of Truth", Analysis 8 (1948) pp. 49-63
In
Truth and Meaning, Paul Horwich, Aldershot 1994


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Ed. Martin Schulz, access date 2024-04-27
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