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 |
|---|---|
| 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 |