Some books begin QM by postulating the Schrodinger equation, and arrive at the rest. Some books begin QM by postulating the commutator relations, and arrive at the rest. Which do you feel is more valid? Or are both equally valid? Is one more physical/mathematical than the other? I would like some commentary on the following proposal: Given that the uncertainty principle is a mathematical notion from Fourier analysis, and given that experiments imply that there is a wave/particle duality, starting from the commutator relations is perhaps less of a logical leap, and a better starting point, than the Schrodinger equation. To me, it makes sense to start from a mathematical property and an experimental fact, and arrive at the Schrodinger equation as a result. This is in contrast to starting from a rather weird equation, which has no particular theoretical motivation (other than that it is similar to the wave equation, but seemingly arbitrarily has first order time dependence). Most books do not, however, do this...I assume there is a good reason and a flaw in my logic. I solicit criticism.