Axiom - Wikipedia
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. The word comes from the Ancient Greek word ἀξίωμα (axíōma), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'. [1][2]

List of axioms - Wikipedia
This is a list of axioms as that term is understood in mathematics. In epistemology, the word axiom is understood differently; see axiom and self-evidence. Individual axioms are almost always part of a larger axiomatic system.

Axiom Definition & Meaning - Merriam-Webster
In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful. “Nothing can both be and not be at the same time and in the same respect” is an example of an axiom.

Axioms | An Open Access Journal from MDPI
Axioms is an international, peer-reviewed, open access journal of mathematics, mathematical logic and mathematical physics, published monthly online by MDPI.

AXIOM | English meaning - Cambridge Dictionary
AXIOM definition: 1. a statement or principle that is generally accepted to be true, but need not be so: 2. a formal…. Learn more.

Axiom | Logic, Mathematics, Philosophy | Britannica
Some recommend that the term axiom be reserved for the axioms of logic and postulate for those assumptions or first principles beyond the principles of logic by which a particular mathematical discipline is defined.

Axiom|Definition & Meaning - The Story of Mathematics
When we have proved a statement then it becomes a theorem. If a theorem is true or universally correct we call them axioms. Axioms are the helping statements upon which logical statements are formed.

AXIOM | definition in the Cambridge English Dictionary
AXIOM meaning: 1. a statement or principle that is generally accepted to be true, but need not be so: 2. a formal…. Learn more.

Axiom -- from Wolfram MathWorld
An axiom is a proposition regarded as self-evidently true without proof. The word "axiom" is a slightly archaic synonym for postulate. Compare conjecture or hypothesis, both of which connote apparently true but not self-evident statements. Weisstein, Eric W. "Axiom."

0.2: Axioms, Theorems, and Proofs - Mathematics LibreTexts
There is a strange creature in mathematics, not typically mentioned in lower division texts, called an axiom (or, in some texts, a postulate). An axiom is a self-evident or universally recognized truth. It is accepted as true, without proof, as the basis for argument.