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what is an axiom

# what is an axiom

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An axiom is a statement that is accepted as true without requiring proof, serving as a basis for further reasoning and arguments. In mathematics, it is an unproved but accepted statement that serves as a starting point for other statements due to its apparent obviousness. The word "axiom" comes from the Ancient Greek word ἀξίωμα (axíōma), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'. It can also be a formal statement or principle in mathematics, science, etc., from which other statements can be obtained.

what is the difference betwenn an axiom and a maxim

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A maxim is a saying that is widely accepted as a general truth, while an axiom is a statement that is accepted as true without requiring proof, serving as a basis for further reasoning and arguments. The nuance between the two lies in the nature of their meanings: a maxim is an expressive, explicit truth, while an axiom carries an implicit, objective truth. In summary, a maxim is a brief expression of a general truth, whereas an axiom is a self-evident truth that requires no proof.

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