Definition of Axiomed. Meaning of Axiomed. Synonyms of Axiomed

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Definition of Axiomed

Axiom
Axiom Ax"i*om, n. [L. axioma, Gr. ? that which is thought worthy, that which is assumed, a basis of demonstration, a principle, fr. ? to think worthy, fr. ? worthy, weighing as much as; cf. ? to lead, drive, also to weigh so much: cf F. axiome. See Agent, a.] 1. (Logic & Math.) 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. An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy. Syn: Axiom, Maxim, Aphorism, Adage. Usage: An axiom is a self-evident truth which is taken for granted as the basis of reasoning. A maxim is a guiding principle sanctioned by experience, and relating especially to the practical concerns of life. An aphorism is a short sentence pithily expressing some valuable and general truth or sentiment. An adage is a saying of long-established authority and of universal application.

Meaning of Axiomed from wikipedia

- An axiom, postulate, or ****umption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments...
- mathematical logic, the Peano axioms (/piˈɑːnoʊ/, [peˈaːno]), also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers...
- In mathematics, the axiom of choice, abbreviated AC or AoC, is an axiom of set theory equivalent to the statement that a Cartesian product of a collection...
- In mathematics, Smale's axiom A defines a class of dynamical systems which have been extensively studied and whose dynamics is relatively well understood...
- axiom of choice included is abbreviated ZFC, where C stands for "choice", and ZF refers to the axioms of Zermelo–Fraenkel set theory with the axiom of...
- Look up axiom in Wiktionary, the free dictionary. An axiom is a proposition in mathematics and epistemology that is taken to be self-evident or is chosen...
- probability axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain central...
- Euclid's approach consists in ****uming a small set of intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these...
- Axiom of extensionality Axiom of empty set Axiom of pairing Axiom of union Axiom of infinity Axiom schema of replacement Axiom of power set Axiom of...
- In mathematics, an axiom of countability is a property of certain mathematical objects that ****erts the existence of a countable set with certain properties...