Perspectivist Account of Truth-Theoretic Semantics in Quantum Mechanics

Quantum Physics [Submitted on 11 Apr 2026] Perspectivist Account of Truth-Theoretic Semantics in Quantum Mechanics Vassilios Karakostas According to various no-go results in the foundations of quantum mechanics, for any system associated to a Hilbert space of dimension higher than two, it is not possible to assign definite truth values to all propositions pertaining to the system without generating a Kochen-Specker contradiction. In this respect, the Bub-Clifton uniqueness theorem is utilized for arguing that truth-value definiteness is consistently restored with respect to a determinate sublattice of propositions defined by the state of the quantum system concerned and a particular observable to be measured. On this basis, a perspectivist/contextual account of truth valuation in the quantum domain is produced that satisfies Tarski's criterion of material adequacy for a theory of truth. In light of the latter, perspectivist truth conforms to perspective or context-bound correspondence of a de re nature, designating locally an objectively existing state of affairs. Such an account derives by virtue of the microphysical nature of physical reality in displaying a context-dependence of facts; thus, it essentially opposes a non-perspectival, metaphysically fixed point of reference, or a panoptical standpoint from which to state all facts of nature. Comments: 18 pages. arXiv admin note: substantial text overlap with arXiv:2511.05504, arXiv:1504.01544 Subjects: Quantum Physics (quant-ph); History and Philosophy of Physics (physics.hist-ph) Cite as: arXiv:2604.11823 [quant-ph]   (or arXiv:2604.11823v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.11823 Focus to learn more Journal reference: European Journal for Philosophy of Science, 2026, 16:14 Related DOI: https://doi.org/10.1007/s13194-026-00725-0 Focus to learn more Submission history From: Vassilios Karakostas Prof. [view email] [v1] Sat, 11 Apr 2026 10:33:40 UTC (50 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 Change to browse by: physics physics.hist-ph References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)