Thanks a lot. I covered this in an early section of an Abstract Algebra book. I think the confusion came with the fact that the difference between any pairing of natural numbers and even natural numbers diverges for increasing n. So I think I was treating an infinite limit like its finite...
Greetings, comrades!
In a previous thread, a user articulated a common argument:
His analogy mapping knights to horses makes intuitive sense, but how can we apply this idea to two infinite sets of knights and horses? How can we treat finite and transfinite sets equal in that sense and...