The Material Propositions of Quantum Physics

Abstract

In this chapter, we develop some basic structures of a language of quantum physics. Starting from elementary propositions about measuring results in Section 3.1, the concept of a dialog is introduced which serves as the most general frame for argumentation. In Section 3.2, we further specify the dialog-game by defining several kinds of compound propositions by argument-rules which prescribe the proof procedures for the compound propositions. In Section 3.3, the fundamental concept of commensurability is introduced by purely operational means and without any recourse to lattice theory. Using this commensurability concept the argument-rules can be reformulated in an adequate manner and the material dialog-game can be established in its final version (Section 3.4).