Abstract
Inthispaper a system of axioms ispresented todefine the notion of an experimental system. The primary feature of these axioms is that they are based solely on the mathematical notion of a direct product decomposition of a set. Properties of experimental systems are then developed. This includes defining negation, implication, conjunction, and disjunction on the set 4 of all binary experiments of the system and showing that the resulting structure is a regular orthomodular poset. The theory of observables of experimental systems is also developed. Finally, the usual models of experiments from classical as well as quantum physics are shown to satisfy the axioms of an experimental system, and a mechanism to create new models of the axioms is given.
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