Well, we generally assume that both space and time are infinitely divisible.
There is nothing self-contradictory to having finite time or space. But there is also nothing contradictory to have either be infinite.
I think most people have more trouble with finite time: try to imagine a time with no 'after' or a (different) time with no 'before'.
Most people also don't go for cyclical time: infinite repetition of exactly the same events. That is a form of super-determinism that gives most people pause.
The only other alternative is to have time extend infinitely into the past and future.
Similar considerations can be had for space, although cyclic space isn't quite so counter-intuitive as cyclic time.
There is nothing self-contradictory to having finite time or space. But there is also nothing contradictory to have either be infinite.
I think most people have more trouble with finite time: try to imagine a time with no 'after' or a (different) time with no 'before'.
Most people also don't go for cyclical time: infinite repetition of exactly the same events. That is a form of super-determinism that gives most people pause.
The only other alternative is to have time extend infinitely into the past and future.
Similar considerations can be had for space, although cyclic space isn't quite so counter-intuitive as cyclic time.
