Zermelo–König paradox
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König's paradox — Also known as the Zermelo– König paradox. There are non denumerably many real numbers, but only denumerably many of them are finitely definable. Given Zermelo s proof that the reals can be well ordered, the set of reals that are not finitely… … Philosophy dictionary
Julius König — (16 Dec 1849 – 8 Apr 1913) was a Hungarian mathematician. He was born in in Györ, Hungary and died in Budapest Biography König s name in Hungarian was Kőnig Gyula or in the more common European name order Gyula Kőnig, but when König contributed… … Wikipedia
logic, history of — Introduction the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic There was a medieval tradition according to which the Greek philosopher … Universalium
Paradoxes of set theory — This article contains a discussion of paradoxes of set theory. As with most mathematical paradoxes, they generally reveal surprising and counter intuitive mathematical results, rather than actual logical contradictions within modern axiomatic set … Wikipedia
Jules Richard — (born 12 Aug, 1862 in Blet, Département Cher, died 14 Oct, 1956 in Châteauroux, Département Indre) was a French mathematician. Life and WorksRichard taught at the lycées of Tours, Dijon and Châteauroux. He obtained his doctorate, at age of 39,… … Wikipedia
Axiom of choice — This article is about the mathematical concept. For the band named after it, see Axiom of Choice (band). In mathematics, the axiom of choice, or AC, is an axiom of set theory stating that for every family of nonempty sets there exists a family of … Wikipedia
Georg Cantor — Infobox Scientist name = Georg Ferdinand Ludwig Cantor image width=225px caption = birth date = birth date|1845|3|3 birth place = Saint Petersburg, Russia death date = death date and age|1918|1|6|1845|3|3 death place = Halle, Germany residence =… … Wikipedia
Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects … Wikipedia
Skolem — Albert Thoralf Skolem (* 23. Mai 1887 in Sandsvaer; † 23. März 1963 in Oslo) war ein norwegischer Mathematiker, Logiker und Philosoph. Seine Arbeiten lieferten grundlegende Resultate zur mathematischen Logik, insbesondere zu den Bereichen… … Deutsch Wikipedia
Thoralf Skolem — Albert Thoralf Skolem (* 23. Mai 1887 in Sandsvaer; † 23. März 1963 in Oslo) war ein norwegischer Mathematiker, Logiker und Philosoph. Seine Arbeiten lieferten grundlegende Resultate zur mathematischen Logik, insbesondere zu den Bereichen… … Deutsch Wikipedia
