〈 Berger | Dillon 〉

Thinking of there as "infinity" as being one thing isn't correct.. There are many different kinds of infinities of different "sizes"

Yes I’m aware of the whole aleph null thing and the explanation Cantor gave but it’s still doesn’t make sense to me.

What exactly doesn't make sense?

I just have a hard time imagining a never ending sequence. There doesn’t seem to be any inconsistency axiomatically, but the idea of infinite sets seems hard to swallow even though I’m aware that it makes sense mathematically.

What do you mean by "hard to swallow"? Hard to accept that our definition of infinity is a good one?

Oh I don’t have problem with the definition. I don’t think it’s good or bad. It’s just that, I’ve been use to thinking about finite things for so long that I’m more likely to ask the question, “where does this end?”. I just have to get use to it and I’ll be fine. No biggie.