Which phrase best describes a theorem in an axiomatic system? A.) the accepted meaning of a term B.) an assumption made with little supporting evidence C.) an accepted fact that cannot be proven D.) a statement proven to be true using logic E.) a list of geometric facts

In Maths, axioms are basically set of propositions from which we can derive true statements from logic. Then these statements are known as theorems.

Hence, defining theorem in an axiomatic way means that a statements that we derive from axioms (propositions) using logic and that is proven to be true.

From the answer choices, we see D goes with this, hence D is the correct answer.

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ajinems ajinems · Answer 2 · 2022-04-25T21:25:00+02:00

The phrase that best describes a theorem in an axiomatic system is that it is a statement proven to be true using logic. That is option D.

What is an axiomatic system?

An axiomatic system is a type of system that specifies the fundamental truth of a system and the basis of the results and applications that can be built in that system.

A theorem when described in an axiomatic system is any statement that can be proven using logical deduction from the axioms.

In mathematical geometry, axioms are truths that are accepted without proof and are statements made about real numbers.

Therefore, the phrase that best describes a theorem in an axiomatic system is that it is a statement proven to be true using logic.

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