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Is it possible to imagine the higher infinities?

Asked by flutherother (34530points) March 19th, 2012

Georg Cantor has proved that there is more than one infinity. The first is the infinity of integers which can be imagined as the numbers 1, 2, 3….. which can be counted without end.

The next infinity is the irrational numbers which include Pi and the square root of 2 and which Cantor proved was larger than the first infinity. This infinity can be thought of as the number of points on a line.

The next infinity is larger still and is the number of curves that can be drawn on a plane. There are even higher infinities but are there any analogies that could help us imagine what they might be?

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