Philosophy Lexicon of Arguments

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Quine, Willard Van Orman
 
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Quantifiers X 121
Branched Quantifiers/Quine: normal: e.g. "(x) (Ey)"/everyday linguistic translation: "for every choice of x, a y must be chosen so that the following sentence is true." Various x may require different y - i.e. the choice of y depends in general on the choice of x - Problem: e.g. the phrase "Fxyzw": suppose we want to say: for each x there is a y and for every z there is a w such that Fxyzw - the choice of y should depend only on the x and the choice of w only on z - (1) (x) (Ey) (z) (Ew) Fxyzw - so the choice of w depends also on x - solution: branched quantifiers:
 (X) (Ey)
  Fxyzw
 (Z) (EW)
 - So you do not need functions as values ​​of variables (2nd order logic, HOL).

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 2017-03-30