The ounce used to confuse me as a kid, memorizing the different equivalents to larger/smaller units. Sometimes an ounce measures weight, sometimes it measures volume. Always had to stop and think about which set of conversions am I trying to deal with here.
I'll tell you something about measurements.
Einstein's relativity model--now the most tested and proven principle in all of physics and probably in all of science--basically just an extension of the old Newtonian model, calls for continuous motion and time. It's probably correct because as mentioned, General Relativity has been tested in the extreme and continues to pass with flying colors. Continuous motion and time....think about that.
Meanwhile, GR unfortunately doesn't jive with QM, which among other things, calls for discrete units of distance and time, called Planck time and length, I think. This is also very well tested, and physicists have thus far failed to reconcile the two.
Sometimes I lay awake at night and I don't know what's more frightening...the thought that every moment of time or movement has seen me pass through an infinite amount of time and space (every distance or length of time can always be divided by 2), or the fact that there may be a stopping point, at which place matter fails to exist at one point of space and time, and then reappears at another, not passing in between because there is no in-between.
You scientists with all your fancy measurements can go jump. All you do is keep good people awake at night.