# paradox

A 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:

• birthday paradox (http://planetmath.org/BirthdayParadox)

• Cantor’s paradox

• Russell’s paradox

• Simpson’s paradox

• Zeno’s paradox

Title paradox Paradox 2013-03-22 16:07:49 2013-03-22 16:07:49 Wkbj79 (1863) Wkbj79 (1863) 14 Wkbj79 (1863) Definition msc 03A05 msc 03B99 paradoxical paradoxically dilemma GalileosParadox