Since axioms can’t be proved, how do mathematicians know that they’re always true independently of the location? If they don’t, how do they cope with that?
In: 1
An axiom is something that is assumed to be true and then you prove things based on those being true.
So it’s always true that a mathematical group has an identity element because that axiom is assumed to be true for groups and if it isn’t true, then it isn’t a group.
Latest Answers