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

List of axioms - Wikipedia
In epistemology, the word axiom is understood differently; see axiom and self-evidence. Individual axioms are almost always part of a larger axiomatic system. Together with the axiom of choice (see below), these are the de facto standard axioms for contemporary mathematics or set theory.

Axiom - Wikipedia
In the field of mathematical logic, a clear distinction is made between two notions of axioms: logical and non-logical (somewhat similar to the ancient distinction between "axioms" and "postulates" respectively).

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.

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.

10.2: 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.

Euclid's Axioms and Postulates: The 7 Axioms and 5 Postulates
Euclid built geometry on 7 axioms and 5 postulates. See all twelve listed and explained, the difference between an axiom and a postulate, and examples.

axioms - Duke University
To understand the world around us, we have to begin by making all sorts of assumptions - such as the assumption that there is a real world out there to be understood in the first place, and that the rules that govern it are structured and understandable.

8. Axioms - lean-lang.org
However, axioms should be used with caution: axioms that are inconsistent with one another, or just false, undermine the very foundations of proofs. Lean automatically tracks the axioms that each proof depends on so that they can be audited.

Axioms - definition of Axioms by The Free Dictionary
1. a self-evident truth that requires no proof. 2. a universally accepted principle or rule. 3. a proposition in logic or mathematics that is assumed without proof for the sake of studying the consequences that follow from it.