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A paradox is an assertion that is apparently self-contradictory, though based on a valid deduction from acceptable premises.
Paradoxes typically lead to a reevaluation of the axioms of mathematics. Even after axioms are assumed so that the paradox is averted, the statement is still usually referred to as a paradox.
Occasionally, one may refer to a surprising result as a paradox. Such is the case in the birthday paradox, which is not apparently self-contradictory.
Examples of paradoxes include:
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"paradox" is owned by Wkbj79.
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| Other names: |
paradoxical, paradoxically, dilemma |
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Cross-references: Zeno's paradox, Simpson's paradox, Russell's paradox, Hausdorff paradox, Cantor's paradox, Burali-Forti paradox, binary tree paradox, Banach-Tarski paradox, birthday paradox, axioms, premises
There are 26 references to this entry.
This is version 11 of paradox, born on 2006-07-30, modified 2007-05-14.
Object id is 8201, canonical name is Paradox.
Accessed 3516 times total.
Classification:
| AMS MSC: | 03B99 (Mathematical logic and foundations :: General logic :: Miscellaneous) | | | 03A05 (Mathematical logic and foundations :: Philosophical and critical) |
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Pending Errata and Addenda
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