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  • Which of the following needs a proof? (A) Theorem (B) Axiom (C) Definition (D) Postulate

Which of the following needs a proof?

(A) Theorem

(B) Axiom

(C) Definition

(D) Postulate

Answers (1)

(A) Theorem

Solution:

Theorem: A statement or proposition not plainly obvious but rather demonstrated by a chain of reasons; a fact set up by methods for acknowledged certainties

Axiom: A statement or proposition which is regarded as being self-obviously evident, established or accepted.

Definition: a statement that gives the exact meaning of the given word.

Postulate: to accept or guarantee as true, whether it is existent, or necessary.

Hence, Axioms, Definitions and postulates do not need a proof.

Hence only theorems need a proof.

Option (A) is correct.

 

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