Astner
The Ghost Who Walks
Originally posted by Galan007
This infinity > that infinity. dur
That's actually easily proven.
The whole number set of numbers contains twice as many numbers as the sets of natural numbers, even though it's infinite.
Natural numbers: N = {1, 2, 3, 4, ... ∞}
Whole numbers: Z = {-∞, ..., -2, -1, 0, 1, ... ∞} (bolded part covering the set of natural numbers)
The most interesting sets of infinity are the uncountable sets. These are the ones where you can't make a number diagram which encompasses all the numbers in the set. You can only compare those sets if one encompasses the other.