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...

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...

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...

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...

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

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

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

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...

Axiom Mission 4 (or Ax-4) is a private spaceflight to the International Space Station. The flight will launch no earlier than April 2025 and last about...

axiom schema of specification, also known as the axiom schema of separation (Aussonderungsaxiom), subset axiom, axiom of class construction, or axiom...

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...

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

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...

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...

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

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

The axiom of extensionality, also called the axiom of extent, is an axiom used in many forms of axiomatic set theory, such as Zermelo–Fraenkel set theory...

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

Axiom Station is a planned modular space station designed by Houston, Texas-based Axiom Space for commercial space activities. Axiom Space gained initial...

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...

In geometry, Pasch's axiom is a statement in plane geometry, used implicitly by Euclid, which cannot be derived from the postulates as Euclid gave them...

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 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...

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

separation axioms. These are sometimes called Tychonoff separation axioms, after Andrey Tychonoff. The separation axioms are not fundamental axioms like those...

Axiom Strategies is one of the largest Republican political consulting firms in the United States. Founded in 2005 by Jeff Roe, who has been described...

it, the axiom of pairing is one of the axioms of Zermelo–Fraenkel set theory. It was introduced by Zermelo (1908) as a special case of his axiom of elementary...

In mathematics, the axiom of determinacy (abbreviated as AD) is a possible axiom for set theory introduced by Jan Mycielski and Hugo Steinhaus in 1962...