# Definition:Axiom/Mathematics

< Definition:Axiom(Redirected from Definition:Axiom of Mathematics)

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## Definition

The term **axiom** is used throughout the whole of mathematics to mean a statement which is accepted as true for that particular branch.

Different fields of mathematics usually have different sets of statements which are considered as being **axiomatic**.

So statements which are taken as axioms in one branch of mathematics may be theorems, or irrelevant, in others.

## Also see

## Linguistic Note

The usual plural form of **axiom** is **axioms**.

However, the form **axiomata** can also sometimes be found, although it is sometimes considered archaic.

## Sources

- 1982: P.M. Cohn:
*Algebra Volume 1*(2nd ed.) ... (previous) ... (next): Chapter $1$: Sets and mappings: $\S 1.1$: The need for logic