If you wish to conform to a standard of math that does not conform to logic and reason, you are welcome to do it. Just don't expect me to join you there.
In my world, one can't make two mutually exclusive concepts true by simply defining them to be true.
Then it must have an infinite number of last terms.
Sir, you are welcome to define 'integer' any way you wish. I, on the other hand, choose to go where logic and reason dictates.
For someone to say that an infinite set can be placed into a one-to-one pairing with only finite numbers is...
Mathematicians have long held that infinite integers do NOT exist, but here is a very simple argument that shows that they do exist.
A list of positive integers Z+ can be formed in a base-1 numeral system as...
1
11
111
1111
.
.
.
1111111...
Since the set of integers is infinite...