paradox
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. 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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birthday paradox (http://planetmath.org/BirthdayParadox)
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Cantor’s paradox
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Russell’s paradox
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Simpson’s paradox
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Zeno’s paradox
Title | paradox |
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Canonical name | Paradox |
Date of creation | 2013-03-22 16:07:49 |
Last modified on | 2013-03-22 16:07:49 |
Owner | Wkbj79 (1863) |
Last modified by | Wkbj79 (1863) |
Numerical id | 14 |
Author | Wkbj79 (1863) |
Entry type | Definition |
Classification | msc 03A05 |
Classification | msc 03B99 |
Synonym | paradoxical |
Synonym | paradoxically |
Synonym | dilemma |
Related topic | GalileosParadox |