Is it faster to count to the infinite going one by one or two by two? A child asked me this question yesterday:

Would it be faster to count to the infinite going one by one or two by two?

And I was split with two answers:


*

*In both case it will take an infinite time.

*Skipping half of the number should be really faster.


Which brings me this question:
Could an infinite be greater than another one?

The answer to the final question "can one infinite [quantity] be greater than another" is positive (there are many degrees of infinity in set theory), but that is not what the question is about. The question about going to infinity is similar to the question "would it be faster to travel to the moon on foot or by train?". The point is, although going by train is "faster" in terms of speed, it is not so in terms of reaching the goal: neither method will ever attain the goal that was set, so it is pointless to claim that one method gets there faster than the other. It is only a figment of our mental representation of infinity that we can approach infinity by going to ever larger numbers; doing so, we still remain infinitely distant from our target at all times.
