An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments...

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...

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...

currently signed to WWE, where he performs on the NXT brand under the ring name Axiom and is currently one-half of the NXT Tag Team Champions with Nathan Frazer...

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...

Axiom Space, Inc., also known as Axiom Space, is an American privately funded space infrastructure developer headquartered in Houston, Texas. Founded in...

mathematical logic, the Peano axioms (/piˈɑːnoʊ/, [peˈaːno]), also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers...

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, the axiom of regularity (also known as the axiom of foundation) is an axiom of Zermelo–Fraenkel set theory that states that every non-empty...

twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set theory is commonly...

probability axioms are the foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain central...

computer science that use it, the axiom of extensionality, axiom of extension, or axiom of extent, is one of the axioms of Zermelo–Fraenkel set theory....

set theory, the axiom schema of specification, also known as the axiom schema of separation (Aussonderung Axiom), subset axiom or axiom schema of restricted...

The Isuzu Axiom is a mid-size SUV introduced by Isuzu in 2001 for the 2002 model year. The Axiom is derived from the Isuzu Rodeo and was intended to be...

branches of mathematics and philosophy that use it, the axiom of infinity is one of the axioms of Zermelo–Fraenkel set theory. It guarantees the existence...

Axiom Mission 4 (or Ax-4) is a private spaceflight to the International Space Station. The flight will be launched in October 2024 and will last 14 days...

Axiom Orbital Segment or Axiom Segment (or AxS) are the planned modular components of the International Space Station (ISS) designed by Houston, Texas-based...

AXIOM is an open hardware and free software digital cinema camera family of devices being developed by a DIY community around the apertus° project. The...

In mathematics, an axiom of countability is a property of certain mathematical objects that asserts the existence of a countable set with certain properties...

The axiom of constructibility is a possible axiom for set theory in mathematics that asserts that every set is constructible. The axiom is usually written...

In mathematical logic, an axiom schema (plural: axiom schemata or axiom schemas) generalizes the notion of axiom. An axiom schema is a formula in the metalanguage...

Axiom Verge is a metroidvania video game by American indie developer Thomas Happ. The game was originally released in March 2015 in North America and...

finitely many axioms, the axiom schema of class comprehension is first replaced with finitely many class existence axioms. Then these axioms are used to...

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 Telecom is a technology retailer founded in 1997 by Faisal Al Bannai, with four employees at the start of its operations. Axiom became the official...

because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry: If a...

Axiom Asia Private Capital is a private equity investment firm, focusing exclusively on the Asia Pacific region. The firm was established in 2006 and...

An action axiom is an axiom that embodies a criterion for describing action. Action axioms are of the form "If a condition holds, then the following will...

An axiom P is independent if there are no other axioms Q such that Q implies P. In many cases independence is desired, either to reach the conclusion...

while the strong axiom imposes conditions on the output. Generalised axiom of revealed preference is a generalisation of the strong axiom of revealed preference...