A paradoxMathworldPlanetmath is an assertion that is apparently self-contradictory, though based on a valid deductionMathworldPlanetmathPlanetmath from acceptable premisesMathworldPlanetmath.

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:

Title paradox
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