Question

A _____ is accepted to be true without proof, while a _____ is an assertion that can be proven using the rules of logic.

Answer 1

Answer:

A postulate is accepted to be true without proof, while a theorem is an assertion that can be proven using the rules of logic.

Explanation:

In mathematics, a postulate is a statement that is considered to be true without looking for any proof of that statement. Other hypotheses or statements can be tested using a postulate as a standard. A postulate is not only significant in mathematics but also plays an important role in understanding the concept of physics.

A theorem can be described as a statement that can be proved right by using logical pieces of evidence.