- #1

- 43

- 0

I have a question about infinity that probably stems from lacking a rigorous understanding of infinity. My understanding is that, generally, operations on infinity result in infinity. For example 2 * infinity = infinity. I am able to accept this in the abstract. However, it gets more confusing when I look at the issue in more detail. Assume two series of integers, A: 1, 2, 3, 4, 5, 6, 7, 8... and B: 2, 4, 6, 8... . For any integer x, A will have x elements and B will have x/2 elements. What I don't get is why this relationship does not hold to infinity.

I have not background in this area, so I apologize in advance if I'm asking a simple question.

Thank you.