axiom
81axiom 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… …
82axiom of choice — Date: 1942 an axiom in set theory that is equivalent to Zorn s lemma: for every collection of nonempty sets there is a function which chooses an element from each set …
83Axiom of countability — In mathematics, an axiom of countability is a property of certain mathematical objects (usually in a category) that requires the existence of a countable set with certain properties, while without it such sets might not exist. Important… …
84Axiōm, das — † Das Axiōm, des es, plur. die e, aus dem Griech. und Latein. Axioma, ein Satz, von dessen Richtigkeit man sogleich bey dem ersten Anblicke überzeugt wird, ingleichen ein allgemeiner Satz, welchen man ohne Beweis einräumt; in beyden Fällen im… …
85axiom system — noun A set of axioms or axiom schemata from which theorems can be derived. Syn: axiomatic system …
86axiom schema — noun A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions. Syn: axiom scheme …
87axiom scheme — noun A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions. Syn: axiom schema …
88axiom — noun Etymology: Latin axioma, from Greek axiōma, literally, something worthy, from axioun to think worthy, from axios worth, worthy; akin to Greek agein to weigh, drive more at agent Date: 15th century 1. a maxim widely accepted on its intrinsic… …
89axiom — noun /ˈæks.i.əm/ a) A seemingly or necessary which is based on ; a or which cannot actually be proven or dis‐proven. b) A fundamental that serves as a basis for of other theorems. Example: A point has no mass; a line has no width. A plane is a… …
90axiom — A proposition laid down as one from which we may begin; an assertion that is taken as fundamental, at least for the purposes of the branch of enquiry in hand. The axiomatic method is that of defining a set of such propositions, and the proof… …
