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If space is infinite we are at any point of the space. If time is infinite we are at any point of the time.

, The Book of Sand

But what if both space and time are finite? Has anyone here thought about that? Quantum Mechanics seems to imply that there is a limit as to how small anything may be. And the "Big Bang" theory seems to imply there's a limit as to how large anything may be, since the Universe has a definite beginning and things may move only so fast - according to Einstein anyway. So, does this change mathematics and philosophy, both of which were cast in concrete during the 17th and 18th centuries, when concepts of infinity reigned supreme?

Time is considered to be finite in a more philosophical way. As far as space is considered, I believe that it is taken as infinite with the so far knowledge. It cannot be established as infinite, and definitely we should expect many changes in both mathemattics and philosophy.

The concept of a minimum distance between any to points in space (called the Plank Length), and a minimum time between any two events (Plank Time) is very interesting. Steven Hawking seems to believe that there is a minimum distance - I'm not sure about the other. Yes, these developments, if true, will change a lot of perceptions. For more info, google: steven hawking plank length

This is very interesting information! Actually, thanks, because I needed info from the physics point of view. I guess we will have to wait.
In my opinion, it seems that space and time must be specified in the same way. If you accept time as finite, then space should be finite too (propably, for a 'solid' continuum')Philosophically, since time can be subdivided in various ways (for example each person's life) it should be accepted as finite.
The development in this area will effect every aspect of scientific and social life, like Einsteins theory in 20th century

I like the idea of the expanding universe, which would seem infinite to our perception. Leibniz touched on this a long time ago. We need and have more axioms every moment from the next. Growing always more complex and better organized.