Kurdt said:
... Most philosophers agree that time does exist but they haven't yet been able to determine what it exactly is...
According to Aristotle, Physica, Book VI, he claims the following about time:
...time is (number of motion of a physical thing that is counted) that is intermediate between indivisible moments...
Suppose three moments, A, B, C and a physical thing {
T} in motion in "space" in relation to them. From my understanding of Aristotle, the moments are indivisible and have neither motion nor rest, thus they are outside of time, yet they are the limits of past and future time, such that:
the past ~ ---- time 1 ----> |A|--- time 2 -{T}--> |B| ------- time 3 ---{T}----> |C| ---- ~ the future
In the above diagram consider the relationship of time 2 & 3 to moment |B|. There exists infinite numbers of motions of the thing {
T} in space that can be counted in time #2 leading to |B| (the past) and in time #3 leading away from |B| (the future) and these motions that can be counted are "time". Thus, moment |B| is both a limit of past time (time#2) and future time (time #3), and while it can be said that |B| is in this sense, as a limit, a part of time, there is no time within the moment|B|, since time is always divisible while |B|, because it is a moment, is always indivisible. And see that while time #2 is the past of moment |B|yet also is time#2 within the future of moment |A|.
Thus, as the concepts "odd" and "even" are within number, so the concepts "past" and "present" and "future" (moments) are within any time. So, time will never fail to exist if there is motion of a thing in space that exists, for where there is motion, there is always a beginning to time.
Now, Aristotle also holds "space" = "that which is intermediate between existents". Thus, it is possible to suggest that Aristotle would claim that;
"space-time" = that which is intermediate between moments of existents.
Applying the above diagram, suppose two existents {
E1} and {
E2}, and they are in motion at two different moments |A'| and |B'| in space-time:
the past ~ ---- time 1 ----> |A|--- time 2 -{E1|A'|}--> |B| ------- time 3 ---{E2|B'|}----> |C| ---- ~ the future
So, here we see that "space-time" is that which is intermediate between {
E1|A'|} and {
E2|B'|} as these two existents relate to the three moments A, B, C and their respective concepts of past and future time.
This is my understanding of what Aristotle may claim about the philosophic question..."what is time" as relates to physical things that exist that follow the laws of nature.