For me, a measurement is a number on a scale, a figure on an oscilloscope, and in this computer age, arrays of numbers in xyz., etc. Then come the convolutions to go back and peel the onion. From the bubble chamber pictures to the momenta of the particles to the fits to hypothesis, a series of convolutions (proxies) going into smaller and smaller dimensions.
At dimensions of hbar we measured behaviors inconsistent with classical mechanics and lo, quantum mechanics fits at that level , so we can state that the microcosm is quantum mechanical. The come the philosophical navel gazings :)