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List of paradoxes. 16 languages ... The mathematical concept of an average, whether defined as the mean or median, leads to apparently paradoxical results—for ...
This category contains paradoxes in mathematics, but excluding those concerning informal logic. "Paradox" here has the sense of "unintuitive result", rather than "apparent contradiction". "Paradox" here has the sense of "unintuitive result", rather than "apparent contradiction".
B. Russell: The principles of mathematics I, Cambridge 1903. B. Russell: On some difficulties in the theory of transfinite numbers and order types, Proc. London Math. Soc. (2) 4 (1907) 29-53. P. J. Cohen: Set Theory and the Continuum Hypothesis, Benjamin, New York 1966. S. Wagon: The Banach–Tarski Paradox, Cambridge University Press ...
A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. [1] [2] It is a statement that, despite apparently valid reasoning from true or apparently true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.
It should only contain pages that are Paradoxes or lists of Paradoxes, ... Mathematical paradoxes (5 C, 41 P) N. Nonexistent things (6 C, 7 P) O. Oxymorons (2 P) P.
Pages in category "Probability theory paradoxes" The following 21 pages are in this category, out of 21 total. This list may not reflect recent changes. 0–9.
In mathematical logic, Russell's paradox (also known as Russell's antinomy) is a set-theoretic paradox published by the British philosopher and mathematician Bertrand Russell in 1901. [1] [2] Russell's paradox shows that every set theory that contains an unrestricted comprehension principle leads to contradictions. [3]
2 Mathematics, statistics and information sciences. 3 Social sciences and humanities. 4 See also. Toggle the table of contents. ... List of paradoxes;