What is the difference between an axiom and a theorem?
A) There is no difference between theorems and axioms, the words are synonyms.
B) Axioms are right conclusions, but theorems are wrong.
C) Theorems are right conclusions, but axioms are wrong.
D) In mathematics, theorems are proven on the basis of some agreed-upon postulates called axioms.
E) In mathematics, axioms are proven on the basis of some agreed-upon postulates called theorems.

Question

Quizplus · Accepted Answer

Axioms are basic assumptions or statements that are taken to be true without requiring proof. Theorems are statements that are proven to be true based on previously established axioms or other theorems. In other words, theorems are derived from axioms. Therefore, option D is the correct answer.

What Is the Difference Between an Axiom and a Theorem