Call_of_the_Wild
Well-Known Member
By whose "definition?" Even when you're dealing with only whole numbers, then subtracting can increase the answer (because you're subtracting a negative) or adding decrease it, or keep it the same. (Because zero is a whole number.) With some more advanced structures, e.g. complex numbers, "less than" doesn't even mean anything.
Umm, huh? I fail to see the point being made. My argument is if you subtract from ANYTHING you are supposed to have less than what you started with. You are not to have the same amount.
Besides, having the same amount of marbles afterwards makes perfect sense to me. After all, if I had less of them after giving some to you, then I could give enough to you that I wouldn't have any. If I can do that, then my original collection wasn't very infinite in the first place, was it?
The only way to not have any marbles is if you were to give me the whole set. Any amount besides "the whole" will still leave you with an infinite amount. This is clearly absurd. When you subtract from any amount, if you don't have less than you had before, something is wrong here. The point is, infinity exists only as a concept, it is not something that can exist in reality. No one can have an infinite amount of anything, nor can anyone reach infinity with successive addition.