axiom
71Axiom of projective determinacy — In mathematical logic, projective determinacy is the special case of the axiom of determinacy applying only to projective sets. The axiom of projective determinacy, abbreviated PD, states that for any two player game of perfect information of… …
72Axiom schema of predicative separation — In axiomatic set theory, the axiom schema of predicative separation, or of restricted, or Delta;0 separation, is a schema of axioms which is a restriction of the usual axiom schema of separation in Zermelo Fraenkel set theory. It only asserts the …
73axiom of choice — Math. the axiom of set theory that given any collection of disjoint sets, a set can be so constructed that it contains one element from each of the given sets. Also called Zermelo s axiom; esp. Brit., multiplicative axiom. * * * axiom of choice,… …
74Axiom independence — Basic Definition and Requirements= An axiom P is independent if there is no other axiom Q such that Q implies P.In many cases independency is desired, either to reach the conclusion of a reduced set of axioms, or to be able to replace an… …
75Axiom (album) — Infobox Album | Name = Axiom Type = Album Artist = Ansur Released = September 18 2006 Recorded = 2005 Genre = Progressive extreme metal Length = 43:56 Label = Nocturnal Art Productions/Candlelight Records Producer = Ansur This album = Axiom… …
76Axiom von Pasch — Der Satz von Pasch (nach Moritz Pasch) wird in der synthetischen Geometrie gewöhnlich als Axiom verwendet: Die Gerade a mag grün oder blau sein: Eine weitere Seite des Dreiecks muss sie treffen. „Es seien A, B, C drei nicht in gerader Linie… …
77Axiom of reducibility — The axiom of reducibility was introduced by Bertrand Russell as part of his ramified theory of types, an attempt to ground mathematics in first order logic.The axiom of reducibility is introduced in number (chapter) *12 of Principia Mathematica… …
78Axiom of Equity — The Axiom of Equity was proposed by Samuel Clarke (1675 1729), an English philosopher, in the spirit of the ethic of reciprocity. In his book A Discourse Concerning the Unchangeable Obligations of Natural Religion, and the Truth and Certainty of… …
79axiom of countability — Math. the property satisfied by a topological space in which the neighborhood system of each point has a base consisting of a countable number of neighborhoods (first axiom of countability) or the property satisfied by a topological space that… …
80axiom, adage, proverb — An axiom is a universally accepted rule or principle or a self evident truth: There can be only one straight line between two points. It is an axiom of economics that supply and demand are closely related. An adage is a statement given credit by… …
