In Book IV, chapter 11, of the Physics, Aristotle completes his inquiry into time, which he has treated through chapters 10 to 14, and reaches the definition: “number of motion in respect of ‘before’ and ‘after’”. He speaks of the “now”, of “movement” and of “number”. The definition was the starting point for later discussion of time, scholastic and modern. It sits under “Measure of motion” as that definition.
Read in contextWhen, therefore, we perceive the ‘now’ one, and neither as before and after in a motion nor as an identity but in relation to a ‘before’ and an ‘after’, no time is thought to have elapsed, because there has been no motion either. On the other hand, when we do perceive a ‘before’ and an ‘after’, then we say that there is time. For time is just this-number of motion in respect of ‘before’ and ‘after’.
Hence time is not movement, but only movement in so far as it admits of enumeration. A proof of this: we discriminate the more or the less by number, but more or less movement by time. Time then is a kind of number.
