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Originally Posted by Guy Westcott
Only because there is no such thing as an infinite hotel. The idea is a mathematical one anyway, and yet it is counterintuitive in that sense, as you yourself have effectively just said.
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There is no such thing as an infinite ____ within the universe. The hotel is merely an analogy.
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The end is not now. This is part way through, but a part that has no given value. An actual infinite can occur.
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But you cannot experience that or given any evidence toward it. You have no experience of a "future", only the present can be known. If we are on an eternal, infinite timeline, you and I are at a single point--we are no dispersed across a line. And what's worse, we can only view the line as a left-pointing ray. The right is unknown from experience or evidence.