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Buttered cat paradox: Humorous example of a paradox from contradicting proverbs. Intentionally blank page: Many documents contain pages on which the text "This page intentionally left blank" is printed, thereby making the page not blank. Metabasis paradox: Conflicting definitions of what is the best kind of tragedy in Aristotle's Poetics.
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 ...
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 ]
Aristotle's wheel paradox is a paradox or problem appearing in the pseudo-Aristotelian Greek work Mechanica. It states as follows: A wheel is depicted in two-dimensional space as two circles . Its larger, outer circle is tangential to a horizontal surface (e.g. a road that it rolls on), while the smaller, inner one has the same center and is ...
The Berry paradox is a self-referential paradox arising from an expression like "The smallest positive integer not definable in under sixty letters" (a phrase with fifty-seven letters). Bertrand Russell , the first to discuss the paradox in print, attributed it to G. G. Berry (1867–1928), [ 1 ] a junior librarian at Oxford 's Bodleian Library .
Topics about Paradoxes in general should be placed in relevant topic categories. Pages in this category should be moved to subcategories where applicable. This category may require frequent maintenance to avoid becoming too large.
Constance Reid included the paradox in the 1955 first edition of her popular mathematics book From Zero to Infinity, but removed it from later editions. [12] Martin Gardner presented the paradox as a "fallacy" in his Scientific American column in 1958, including it with six other "astonishing assertions" whose purported proofs were also subtly ...