On: Is infinity an odd or even number? (2011)

[silisili]

If infinity is well, infinite, how could you possibly add numbers to it? By definition isn't it more of a concept and less a real number?

[layer8 → silisili]

The set of all even numbers has infinite size. When you add an odd number to that set, you get a larger set (in the sense that the old set is a proper subset of the new set). That’s like adding 1 to its size. The size though remains the same infinity (one can define a bijection between the old and new set).