سوال ۲۲ کنکور ارشد ریاضی ۱۴۰۵

PASSAGE (paragraph 3): "An axiom was understood to be a proposition 'evident in itself.' For example: the whole is greater than any of its parts. An axiom, understood in this way, is not provable. The unverifiability of the axiom derives from its very definition. One cannot prove what is evident in itself and constitutes in a way a truth of reason. 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, 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."

According to paragraph 3, regarding the idea that axioms are self-evident, .................. .