Philosophy Dictionary of ArgumentsHome
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| Unit set: The unit class in set theory is a class that contains exactly one element. In Quine's set theory, this is often referred to as a “spurious” class, as it cannot itself be an element of a set. This is an important point in Quine's set theory in order to avoid paradoxes such as Russell's paradox. See also Russell's paradox, Set theory, Sets._____________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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Robert Stalnaker on Unit Set - Dictionary of Arguments
I 37 Unit set/singletons/unit class/Stalnaker/(s): advantage: when we have a unit set, all things are of the same kind.) (s)> Quine's set theory. Stalnaker: advantage here: we have compositionality and can define consistency. Cf. >Unit set/Quine, >Compositionality, >Consistency._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Stalnaker I R. Stalnaker Ways a World may be Oxford New York 2003 |
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