Philosophy Lexicon of Arguments

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IX 22
Individuals/Quine: Problem: if y and z are elementless, we obtain y = z due to the extensionality law as it is formulated here - i.e. there is only one single elementless thing - if it is the empty class, then individuals are not elementless - if individuals are elementless, and if they exist at all, then there is only one individual and not an empty class - solution: we do not have to regard individuals as elementless - They are identical with their class of one - and also with the class of one of this class, etc.
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IX 199
Individuals/QuineVsFraenkel: individuals are not elementless - solution: individuals are identical with their classes of one - therefore "Tnx" is no longer needed to protect y from the flood of individuals. And now that the zero classes of all types are identified with each other, "Tnx" is no longer required to fend off the tide of zero classes - power set axiom/cumulative theoretical terms: we can now accept it without protection: Ey∀x(x e y ↔ x ⊆ z). With this we are even more liberal than Zermelo.

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 2017-05-27