Question

Which of the following best defines an axiom?
(1) A statement whose truth is accepted without proof.
(2) A statement which requires a proof.
(3) A geometrical figure.
(4) A mathematical formula.
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Answer 1

Answer:

(1) A statement whose truth is accepted without proof.

✌️Hope it will help you.✌️

Answer 2

The correct answer is OPTION 1: A statement whose truth is accepted without proof.

• An axiom is a broad statement in mathematics and logic that can be used to logically derive other truths without requiring proof.
• A postulate is an unproven statement similar to an axiom, although it is more explicit.
• Even though it appears to contradict common sense in some cases, an axiom's or postulate's truth does not have to be clear.
• In one logical system, a statement might be an axiom or a postulate, whereas, in another, it might be derived from other claims.
• A system's axioms are usually self-contained, meaning that none of the members can be derived from any combination of the others.