Philosophy Lexicon of Arguments

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Existential generalization, logic: if an object that can be named, has a certain property, then there is at least one object with this property. See also universal generalization, universal instantiation.

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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
VII 119ff
Existential generalization/Quine: takes us from a theorem f to a theorem (Ex)y where f is like y, unless it has free occurrences of "y" in all those positions where y has free occurrences of "x" - e.g. "Fy ↔ Fy" leads to "(Ex)(Fy ↔ Fx)".
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VII 145
Existential generalization/Quine: no longer justified if the singular term does not denote anything: E.g. There is no such thing as Pegasus - from this we cannot infer: (Ex)(there is no thing x)- - It would be just as wrong: (Ex)(x was named like this because of its size) - modality/existential generalization: is not working. E.g. (Ex)(x is necessarily greater than 7) - (E.g.)(necc. if there is life on AS, then there is life on x).
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VIII 24ff
Existential generalization: replaces name by variable - vice versa: specialization: replaces variable by name and eradicates a universal prefix: leads from (x)(..x..) to "... Paris ..." - if one is valid, the other is valid, too.


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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.

Q I
W.V.O. Quine
Wort und Gegenstand Stuttgart 1980

Q II
W.V.O. Quine
Theorien und Dinge Frankfurt 1985

Q III
W.V.O. Quine
Grundzüge der Logik Frankfurt 1978

Q IX
W.V.O. Quine
Mengenlehre und ihre Logik Wiesbaden 1967

Q V
W.V.O. Quine
Die Wurzeln der Referenz Frankfurt 1989

Q VI
W.V.O. Quine
Unterwegs zur Wahrheit Paderborn 1995

Q VII
W.V.O. Quine
From a logical point of view Cambridge, Mass. 1953

Q VIII
W.V.O. Quine
Bezeichnung und Referenz
In
Zur Philosophie der idealen Sprache, J. Sinnreich (Hg), München 1982

Q X
W.V.O. Quine
Philosophie der Logik Bamberg 2005

Q XII
W.V.O. Quine
Ontologische Relativität Frankfurt 2003


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Ed. Martin Schulz, access date 2017-11-20