paradox
A paradox^{} is an assertion that is apparently selfcontradictory, 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 selfcontradictory.
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 

Canonical name  Paradox 
Date of creation  20130322 16:07:49 
Last modified on  20130322 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 