I was thinking of asking this in questions, but it's not really astronomy related (though definitely space related, depending on how you define the word!)

I've long been curious about some of these paradox. In particular, the one about the arrow never being able to go from point A to point B, if space is continuous. There are an infinite number of points in between, so it should never get there.

But actually, I was thinking about it, and came up with this. Well, if there is infinite space, there is also infinite time. So could you move an infinite distance in infinite time? I don't really know. What is perplexing, though, is that if the space is doubled in length, the time required also doubles. So it seems like you can multiply infinity by two, and it actually takes two infinities to travel it, or something like that.

Isn't it strange? If space is continuous, how does anything manage to happen?

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