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Which phrase best describes a theorem in an axiomatic system?


the accepted meaning of a term


an assumption made with little supporting evidence


an accepted fact that cannot be proven


a statement proven to be true using logic


a list of geometric facts

Verified Answer :

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Answer:

The correct answer is "a statement proven to be true using logic".

Explanation:

In logic and in mathematics, an axiomatic system is a set of propositions from which true statements can be derived. These statements are called theorems, therefore a theorem in an axiomatic system is defined as a statement proven to be true using logic, logic that comes from the propositions or axioms that comprise the axiomatic system.

The phrase best describes a theorem in an axiomatic system is a statement proven to be true using logic.

What is the axiomatic system?

Axiomatic system refers to the collection of the statements or axioms about undefined terms used to derived the theorems. The person can build proofs and theorems using the set of the axioms.

These statements are derived from the logic. In mathematical geometry, axioms are truths that are accepted without proof and are statements made about real numbers.

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

Learn more about theorem here:

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