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An axiom is a basic mathematical truth used in proofs, outlined initially by Euclid. Axioms are self-evident and do not need to be proven, they can be combined and used logically to prove more complex mathematical concepts, especially in geometry.

Example: "The shortest distance between two points is a straight line."

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10y ago
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15y ago

An axiom is an assumption that is assumed to be true in some mathematical system. The axioms of geometry are historically called postulates. Intuitively an axiom is a statement whose truth is self-evident. Mathematical axioms need not be self-evident or true in any real-world sense. An axiom of one mathematical system may be false in a different system.

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What are the kinds of axioms?

An Axiom is a mathematical statement that is assumed to be true. There are five basic axioms of algebra. The axioms are the reflexive axiom, symmetric axiom, transitive axiom, additive axiom and multiplicative axiom.


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An axiom system is a set of axioms or axiom schemata from which theorems can be derived.


What geometric term means a statement whose truth is accepted without proof?

An axiom.


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What is a five letter word meaning doctrine?

Axiom is another word for doctrine and/or means the same thing


A statement we accept as true without proof is a?

it is called an axiom


Can I use axiom in a sentence?

Of course! Here's an example sentence: "In mathematics, an axiom is a statement that is accepted as true without requiring proof."