dorsal/arxiv
View SchemaA Pragmatic Interpretation of Quantum Logic
| Authors | Claudio Garola |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507122 |
| URL | https://arxiv.org/abs/quant-ph/0507122 |
Abstract
Scholars have wondered for a long time whether quantum mechanics (QM) subtends a quantum concept of truth which originates quantum logic (QL) and is radically different from the classical (Tarskian) concept of truth. We show in this paper that QL can be interpreted as a pragmatic language of pragmatically decidable assertive formulas, which formalize statements about physical systems that are empirically justified or unjustified in the framework of QM. According to this interpretation, QL formalizes properties of the metalinguistic concept of empirical justification within QM rather than properties of a quantum concept of truth. This conclusion agrees with 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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"abstract": "Scholars have wondered for a long time whether quantum mechanics (QM)\nsubtends a quantum concept of truth which originates quantum logic (QL) and is\nradically different from the classical (Tarskian) concept of truth. We show in\nthis paper that QL can be interpreted as a pragmatic language of pragmatically\ndecidable assertive formulas, which formalize statements about physical systems\nthat are empirically justified or unjustified in the framework of QM. According\nto this interpretation, QL formalizes properties of the metalinguistic concept\nof empirical justification within QM rather than properties of a quantum\nconcept of truth. This conclusion agrees with a general integrationist\nperspective, according to which nonstandard logics can be interpreted as\ntheories of metalinguistic concepts different from truth, avoiding competition\nwith classical notions and preserving the globality of logic. By the way, some\nelucidations of the standard concept of quantum truth are also obtained.",
"arxiv_id": "quant-ph/0507122",
"authors": [
"Claudio Garola"
],
"categories": [
"quant-ph"
],
"title": "A Pragmatic Interpretation of Quantum Logic",
"url": "https://arxiv.org/abs/quant-ph/0507122"
},
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"variant": "snapshot-2026-03-01",
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