Wikipedia foundation.
Burali-Forti paradox — In set theory, a field of mathematics, the Burali Forti paradox demonstrates that naively constructing the set of all ordinal numbers leads to a contradiction and therefore shows an antinomy in a system that allows its construction. It is named… … Wikipedia
Burali-Forti — s paradox … Philosophy dictionary
Cesare Burali-Forti — Born 13 August 1861 Arezzo Died 21 January 1931 Turin Fields … Wikipedia
Burali-Forti's paradox — The first paradox discovered in the modern theory of sets. Every well ordered set has an ordinal number assigned to it. These ordinals can be compared: of any two, either they are equal, or one is smaller and one is larger. They therefore form a… … Philosophy dictionary
Paradox — Ein Paradoxon oder Paradox (altgriechisch παράδοξον, von παρα , para – gegen und δόξα, dóxa – Meinung, Ansicht), auch Paradoxie (παραδοξία) und in der Mehrzahl Paradoxa g … Deutsch Wikipedia
Epimenides paradox — Epimenides from Promptuarii Iconum Insigniorum The Epimenides paradox is a problem in logic. It is named after the Cretan philosopher Epimenides of Knossos (alive circa 600 BC), There is no single statement of the problem; a typical variation is… … Wikipedia
Cantor's paradox — In set theory, Cantor s paradox is the theorem that there is no greatest cardinal number, so that the collection of infinite sizes is itself infinite. Furthermore, it follows from this fact that this collection is not a set but a proper class; in … Wikipedia
Russell's paradox — noun The following paradox: Let A be the set of all sets which do not contain themselves. Then does A contain itself? If it does, then by definition it does not; and if it does not, then by definition it does. See Also: Burali Forti paradox … Wiktionary
Russell Paradox — Die Russellsche Antinomie ist ein von Bertrand Russell und Ernst Zermelo entdecktes Paradoxon der Naiven Mengenlehre, das Russell 1903 publizierte und daher seinen Namen trägt. Inhaltsverzeichnis 1 Begriff und Problematik 2 Geschichte und… … Deutsch Wikipedia
Russells Paradox — Die Russellsche Antinomie ist ein von Bertrand Russell und Ernst Zermelo entdecktes Paradoxon der Naiven Mengenlehre, das Russell 1903 publizierte und daher seinen Namen trägt. Inhaltsverzeichnis 1 Begriff und Problematik 2 Geschichte und… … Deutsch Wikipedia
