Cardinality without enumeration (Q813080)
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scientific article; zbMATH DE number 5002527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cardinality without enumeration |
scientific article; zbMATH DE number 5002527 |
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Cardinality without enumeration (English)
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30 January 2006
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Usually cardinals are defined by means of ordinals. In this paper the author shows that the notion of cardinality is independent from that of well-ordering, and so is independent from ordinals in ZF set theory. Motivating physical phenomena concerning quantum mechanics and the problem of individuality are discussed.
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cardinality
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choice
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well-ordering
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quantum mechanics
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individuality
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generic class
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separation class
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nonstandard model of arithmetic
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