سوال ۲۴ کنکور ارشد ریاضی ۱۴۰۵

PASSAGE 3 (excerpt):

"By principles of mathematics, we mean a body of propositions which arise in mathematical demonstrations and which serve as premises for deduction. These principles are not proven. In so-called classical mathematics … three types of mathematical principles were distinguished: the definitions, the axioms and the postulates. … We will simply point out here that a definition in no way proves the existence of the defined object. … An axiom was understood to be a proposition 'evident in itself.' … But it must be pointed out in this regard that the concept of 'evidence' is extremely relative. Thus the proposition, which we have just made [the whole is greater than any of its parts], was considered as being evident, up until the time when Galileo demonstrated that there were certain objects later called infinite sets—of which a part was as great as the whole."

Which of the following statements can best be inferred from the passage?