Math deals with sets. And finite sets have an integer number of members.
Math is all about extending definitions and concepts. So why does the number of members of a set need to be an integer?
What about a rational number, or an irrational number. Or if you want very spooky sets what about a complex number!
How could this extension be done? I don't know.
And if x is the number of members would we still have the number of subsets = 2^x
Content written and posted by Ken Abbott email@example.com