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Ontology vs Axiom - What's the difference?

ontology | axiom |

As nouns the difference between ontology and axiom

is that ontology is (uncountable|philosophy) the branch of metaphysics that addresses the nature or essential characteristics of being and of things that exist; the study of being qua being while axiom is axiom.

ontology

Noun

(ontologies)
  • (uncountable, philosophy) The branch of metaphysics that addresses the nature or essential characteristics of being and of things that exist; the study of being qua being.
  • * '>citation
  • (countable, philosophy) The theory of a particular philosopher or school of thought concerning the fundamental types of entity in the universe.
  • * 2000 , , Substantial Knowledge: Aristotle's Metaphysics , Hackett Publishing, p. 97:
  • The answer to the controversial question of whether Aristotle's ontology includes non-substantial particulars, then, is that it does.
  • (logic) A logical system involving theory of classes, developed by (1886-1939).
  • (computer science, information science) A structure of concepts or entities within a domain, organized by relationships; a system model.
  • Usage notes

    In the field of philosophy there is some variation in how the term ontology'' is used. ''Ontology'' is a much more recent term than ''metaphysics'' and takes its root meaning explicitly from the Greek term for ''being.'' ''Ontology'' can be used loosely as a rough equivalent to ''metaphysics or more precisely to denote that subset of the domain of metaphysics which is focused rigorously on the study of being as being.

    Holonyms

    * metaphysics

    Derived terms

    * ontologic * ontological * ontologist * ontologistic * formal ontology

    References

    * * * * * * " ontology" by F.P. Siegfried, in The Catholic Encyclopedia (Robert Appleton Company, New York, 1911) * Oxford English Dictionary , second edition (1989) * Random House Webster's Unabridged Electronic Dictionary (1987-1996) * Dictionary of Philosophy'', (editor), Philosophical Library (1962); ''see: "Ontology" by James K. Feibleman, page 219 * " Ontology" by Tom Gruber to appear in the Encyclopedia of Database Systems, Ling Liu and M. Tamer Özsu (editors), Springer-Verlag (2008) English words suffixed with -ology

    axiom

    English

    (wikipedia axiom)

    Noun

  • (en noun); also axiomata (though, becoming less common and sometimes considered archaic)
  • (philosophy) A seemingly which cannot actually be proved or disproved.
  • * '>citation
  • (mathematics, logic, proof theory) A fundamental of theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent".
  • *
  • The axioms read as follows. For every composable pair f'' and ''g'' the composite f \circ g goes from the domain of ''g'' to the codomain of ''f''. For each object ''A'' the identity arrow 1_A goes from ''A'' to ''A . Composing any arrow with an identity arrow (supposing that the two are composable) gives the original arrow. And composition is associative.
  • An established principle in some artistic practice or science that is universally received.
  • The axioms of political economy cannot be considered absolute truths.

    Synonyms

    * (now rare)

    Hypernyms

    * (in logic) well-formed formula, wff, WFF

    Hyponyms

    * (in mathematics) * (in mathematics) * (in mathematics)

    Holonyms

    * (in logic) formal system

    Derived terms

    *

    See also

    (other terms of interest) * conjecture * corollary * demonstration * hypothesis * law * lemma * porism * postulate * premise * principle * proof * proposition * theorem * theory * truism