The most difficult part of the reading is knowing if a set is closed under a certain operation. It seems rather simple but keeping it straight that when elements of a set undergo an operation that the result is in that same set. I suppose that means that division of integers is not closed as the result could be a rational number.
I like the idea of addition and multiplication of equivalence classes as it allows us to manipulate and interact with equivalence classes in a more interesting way. It allows us also to relate equivalence classes to other ones and to do more interesting proofs.
No comments:
Post a Comment