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There are larger quantities than infinity.
For example, suppose you had a hotel with an infinite amount of rooms, each room holds one guest. This is big, right?
Wrong.
My hotel has an infinite amount of rooms but each room holds an infinite amount of guests.
If we represent infinity as "N", and call your hotel N1, we can call my hotel N2, to signify the increased holding power.
This is the sort of logic that is needed to construct the quantity that holds all points in space, that is N4.
But yes, infinity, just as zero, exists (at least as a concept).
(If anyone cares to correct this, feel free. I'm digging this up from over 24 years ago.)
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"Of all tyrannies, a tyranny exercised for the good of its victims may be the most oppressive. It may be better to live under robber barons than under omnipotent moral busybodies. The robber baron's cruelty may sometimes sleep, his cupidity may at some point be satiated; but those who torment us for our own good will torment us without end, for they do so with the approval of their own conscience." – C. S. Lewis
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