meaning of axioms

1. A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be. 2.">"
2. An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy.
3. AXIOM A commercially available subset of Scratchpad, from IBM. ["Axiom - The Scientific Computing System", R. Jenks et al, Springer 1992].
4. axiom A well-formed formula which is taken to be true without proof in the construction of a theory. Compare: lemma.

Related Words

axiom | axiom of choice | axiom of comprehension | axiom* | axiomatic | axiomatic architecture description language | axiomatic semantics | axiomatic set theory | axiomatical | axiomatically |

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