A Pragmatic Interpretation of Quantum Logic
نویسنده
چکیده
Scholars have wondered for a long time whether quantum mechanics (QM) subtends a quantum concept of truth, formalized by quantum logic (QL) and radically different from the classical (Tarskian) concept of truth. We show in this paper that QL can be obtained as a pragmatic structure LPQD of pragmatically decidable assertive formulas which formalizes the metalinguistic concept of empirical justification in QM. The formulas of LPQD can be seen indeed as assertions about properties of physical systems which are empirically justified or unjustified, since they can be empirically proved or disproved. This new interpretation of QL allows us to place properly QL within a general integrationist perspective, according to which nonstandard logics can be interpreted as theories of metalinguistic concepts different from truth, avoiding competition with classical notions and preserving the globality of logic. By the way, some elucidations of the standard concept of quantum truth are also obtained.
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