
Originally Posted by
mrzwach
I don't mean to be patronizing myself but infinity - 1 has precisely the same value as infinity. In fact, you can perform any operation on an infinite set with a finite number and it will remain infinite, because there will still exist a bijective function that connects it to its original set, thus it has the same cardinality. Infinite sets (and thus, an infinite number) are nonintuitive in that way. Also, infinite does not mean all encompassing; a subset of an infinite set can still have an infinite number of elements. Oh, the curiosities of mathematics.
Anyways, there wouldn't be an infinite amount of solutions, but there would be an inordinate amount, and there would be no clear logical path that one could take to narrow it down beyond complete shots in the dark. Comparatively, this type of puzzle is supposed to have some chain of logic which can lead one person from the statement to the answer. That's what makes it a lateral thinking puzzle - the fact that there IS a way to deduce the answer through careful questioning and not merely guessing.