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Originally Posted by tw
2∞ + 1 = ∞
Clearly that is not possible.
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It is
by definition possible. Infinity is not a number, infinity plus one (or multiplied by two, or whatever) always equals infinity.
On the other hand, there is a theoretical number bigger than infinity, and IIRC it's called "aleph naught" (can't make the special characters show up, but it's written as the first letter in the Hebrew alphabet followed by a subscript zero.)