EinsteinFan said:
time is the movement of space
That is totally wrong. In priciple, space doesn't move, but motion occurs in space. [Unless we are talking about "relative motion" (between frames of reference) and "relative spaces" in the moving frames.]
You could say however (and may be that's what your intuition was trying to describe) that
time is "the measure of motion", via "duration" (which is a property of motion and of every process). A process of larger duration is longer in time etc.
Thus by setting a "unit process" and comparing durations we measure time. Then all we have to do is to select (pick) an origin of time (or a point of origin in time), where t=0, and thus we obtain that way "the axis of time" (or the dimension of time).
And in fact that's exactly what time is:
a dimension,
or a parameter [to study motion ... (and then it also becomes a
dynamic variable)].
We cannot actually see time as an existing thing or object.
We only see motion (+events and processes) [And since we inevitably participate in it, we only see the present (of motion and time)]. Thus time is not something tangible, that you can see and touch, although we do "feel" its passing ... .
For instance, we do not see the past; we only remember it. [
We always see the present, but also we are always moving towards the future.]
Whereas in the case of space (+see ahead [below]), if you look behind you (while moving) you will see [the place] where you were ... .
{In this whole discussion here, I assume everything with respect to a particular frame of reference.}
Space on the other hand, is something more tangible.
It is the "frame" or "framework" in which "all things happen".
Motion takes place in space, and all events and processes happen there. The measurement of space is also of course done in the similar known fashion, resulting to 'length', 'area' and 'volume', as well as the 3 spatial dimensions [and x-y-z axis and coordinate systems].
Now light exists both in space and time. Or better, light is a process, or motion [of photons], that happens in space and is measured with time. [These are to clarify the terminology.]
I think that sais it all, to answer your questions and put things into perspective. Now I think you can also create your own perpective in further understanding the subject.
Finally, since motion and all events and processes happen in Space and Time (or better: measured with time), Einstein (even in Special Relativity) came up with the idea to combine the two notions into one: Space-Time. But now instead of talking about "points of space" and "points of time" (moments) separately, one talks about "point events" [described by 4 parameters,
coordinates or dimensions: (x, y, z, t)]. The resulting entity is called "the 4-dimensional space-time continuum". [But of course in a complete study e.g. of Special Relativity, that would also have to include the study of the Lorentz transformation, as well as the important notion or concept of '
Covariance'.] However, these may go beyond the original discussion. But they do give a good motivation and introductory entering into Relativity, which should be your "ultimate" goal.
I hope these help to clarify things and put the discussion that you started into perspective.