The way I understand it, a finite set can not be an infinite set, because if it werean infinite set, then it would not be a finite set, and the original premise wouldbe violated.
In a finite set, you can go through the elements, count them, "1, 2, 3, ...", and eventually reach a last element. An infinite set has no last element, no matter in what order you count.An...
A subset of some set X is, by definition, any set whose elements are entirely contained in X. So the answer is yes. As an example, take your infinite set, and select 3 or 10 or any finite number of...