# Axiology

the branch of philosophy dealing with values, as those of ethics, aesthetics, or religion.

**noun**

(philosophy) the theory of values, moral or aesthetic

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- Axiom
a self-evident truth that requires no proof. a universally accepted principle or rule. Logic, Mathematics. a proposition that is assumed without proof for the sake of studying the consequences that follow from it. Contemporary Examples Jakes says he believes in the axiom that the act of forgiveness is not really a gift to others as […]

- Axiom of choice
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. logic (AC, or “Choice”) An axiom of set theory: If X is a set of sets, and S is the union of all the elements of […]

- Axiom of countability
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 has a base for its topology consisting of a countable number of subsets of the space (second […]

- Axiom of comprehension
axiom of comprehension logic An axiom schema of set theory which states: if P(x) is a property then x : P is a set. I.e. all the things with some property form a set. Acceptance of this axiom leads to Russell’s Paradox which is why Zermelo set theory replaces it with a restricted form. (1995-03-31)