While your statement is, sadly, yet another example of a rather profound misunderstanding of QM (from a person with a university degree in science, no less), there's a very interesting, and deep, aspect of physics which you may find enlightening.
Leave aside the Mills/Phillips misuse of the word, "postulates" are key in physics.
For example, for special relativity, there are just two
WP, one of which is "the speed of light is c (for everyone, everywhere, everywhen)" (as often expressed in popular form; see WP for the more complete version).
A large number of people - theoretical physicists, mathematicians - have spent a great deal of time working on minimal sets of postulates (or axioms) that describe the foundations of (classical) physics, and QM (or, better said, QFT, Quantum Field Theory). For example, Peter Woit has put the final draft of a book he's been working on for quite a while online (you can find a link to it in
his 10 March blogpost). And one of Hilbert's problems
WP is "
Mathematical treatment of the axioms of physics".
Not surprisingly, it turns out that there are many ways to write a set of axioms for the major classes of physics, and I think it's true that most undergrad students of physics encounter at least one set (or set of sets), though few remember them well.
For example, in the Woit book, he says this, as the intro para to the section "
Fundamental axioms of quantum mechanics":
He gives three axioms for QM, the first of which is "
Axiom (States). The state of a quantum mechanical system is given by a nonzero
vector in a complex vector space H with Hermitian inner product h·, ·i." (sorry, some special characters do not copy over

).
If you'd really like to know, markie, what QM "
just declares", may I recommend Woit's book? It's not as long as Mills', but it contains more consistent physics in just one chapter than Mills' does, in all x thousand pages.
Having read a bit of what Schott did (thanks RC), and what Mills has done (thanks TT, and RC), I very much doubt that Schott would have countenanced the sort of nonsense Mills has proposed. He (Schott) seems to have been a smart cookie, who really did understand his classical electrodynamics (etc),
pace Mills.