Re: ooc: volume 2
I get that problem on my Sundays and Mondays, which I suppose is because it's the weekend in the US. My RPoL Fridays are usually fairly active.
I don't think you can classify the passengers as fractions. You can always divide a fraction further, but you can't divide passengers (not without a gory mess), so passengers are always a countable set.
The distance between 0 and 1, or rather the interval [0,1] (all real numbers from 0 to 1), is bounded and therefore finite. That is, 0 metres to 1 metre is only 1 metre long. (On the other hand, the interval (0,1), all real numbers from 0 to 1 but not including 0 and 1 is unbounded but still finite, and just shy of 1 metre long.) But the number of real numbers between 0 and 1 is uncountably infinite, of the aleph-one kind (I might be mistaken). In other words, you can put an uncountably infinite number of dots between 0 and 1.
Similarly, if you had a square, 1 metre by 1 metre, [0,1]×[0,1], its area would be finite and bounded. Yet you can draw an infinitely squiggly line inside it that can be infinitely long, or an infinite number of dots. That gets into fractals.
Time is a continuum, so it's uncountable infinity (though in quantum mechanics units of time are limited by the Planck scale, so it could be countable). Time started at the Big Bang and is therefore bounded there, and is half-infinite. The question is whether the universe collapses into a Big Crunch at the end (bounded and finite) or whether it expands or lies static forever (unbounded and still half-infinite).
I remember in first-year mathematics asking about infinity and being advised not to think too much about it, because Georg Cantor went mad working it all out. And I'm much too far away from my maths degree to ramble too much about it.
On the other hand, there's this old maths drinking song:
Aleph-one bottles of beer on the wall!
Aleph-one bottles of beer!
Take aleph-null down
Pass them around
Aleph-one bottles of beer on the wall!
:D