Abstract
Publisher Summary This chapter describes an axiomatic basis as a desired form of a physical theory. The chapter considers a physical theory (PT). PT is composed of a mathematical theory (MT), correspondence rules (—), and a reality domain (W). The correspondence rules are prescriptions of how to translate into MT those facts that can be detected in nature or on devices, or arise by technical procedures. The correspondence rules enable to compare experiences with the MT—that is, to establish MTA. Those terms in the axiom (P) that are connected with an existential quantifier are called theoretical auxiliary terms. In this sense, the Hilbert space is a theoretical auxiliary term in quantum mechanics.
Published Version
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