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A lot of incorrect statements about infinity in this thread. In mathematics, there are numbers outside the set of real numbers. Remember that even the integers are conceptual, they're just an easier concept. All the numbers are represented by symbols, so I don't see why the symbol '4' is any different in that sense than the infinity symbol.
There are many mathematic formulas that depend on infinity. There was a guy named George Cantor who proved mathematically that there are different orders of infinity (he named them Aleph 1, Aleph 2, etc). Debating whether infinity exist is not as much like debating whether dreams exist, as it is like debating whether 7 exists.
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