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.

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 Item Summary Meta data
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)".
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).
VIII 24ff
Existential generalization: replaces a name bya variable - vice versa: specialization: replaces a variable by a name and eradicates a universal prefix: leads from (x)(..x..) to "... Paris ..." - if one is valid, the other is valid, too.

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.

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

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

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

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

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

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

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

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

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

W.V.O. Quine
Ontologische Relativität Frankfurt 2003

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Ed. Martin Schulz, access date 2018-05-26