Philosophy Lexicon of Arguments

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V 163
Russell s paradox / properties / Sainsbury: basic problem: if properties can be applied to themselves - most do not. E.g. the property of being a person is a property and not a person! So it does not apply to the property of being a person. - But some properties are true of themselves. - E.g. the property of being a man is not a man - but the property of being a non-man, is itself a non-man. - V 165 There is a relationship with Cantor s proof that the power set of each class has more elements than the class itself, but you can block Russell s paradox, and still allow the proof of Cantor.


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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.
Logic Texts
Me I Albert Menne Folgerichtig Denken Darmstadt 1988
HH II Hoyningen-Huene Formale Logik, Stuttgart 1998
Re III Stephen Read Philosophie der Logik Hamburg 1997
Sal IV Wesley C. Salmon Logik Stuttgart 1983
Sai V R.M.Sainsbury Paradoxien Stuttgart 2001


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Ed. Martin Schulz, access date 2017-11-23