# Which phrase best describes the word definition in an axiomatic system?

accepted meaning of a term Explanation:

An axiomatic system consists of some indistinct terms (primitive terms) and a listing of statements, called axioms or postulates, concerning the indistinct terms. One receives a mathematical theory by establishing new observations, called theorems, using only the axioms (postulates), logic system, and previous theorems.

The correct answer is : the accepted meaning of a term Explanation: An axiom is something obvious, indisputable, safe, proven. An axiomatic system must be consistent, it is one of its conditions. If an axiomatic system does not have the property of consistency, it has no mathematical value, therefore it lacks any interest. The axiomatic system is used to prove theorems through deductions using a set of axioms.

The phrase that best describes the word definition in an axiomatic system is a fact proven by using logic. It is a set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.

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I think the answer is D I hope this helps and good luck on whatever this is for

A. the accepted meaning of a term

An axiomatic system consists of some indistinct terms (primitive terms) and a listing of statements, called axioms or postulates, concerning the indistinct terms. One receives a mathematical theory by establishing new observations, called theorems, using only the axioms (postulates), logic system, and previous theorems.