A topos perspective on the Kochen-Specker theorem: II. Conceptual Aspects, and Classical Analogues:

Simple item page
dc.creatorIsham, C. J.
dc.creatorButterfield, J.
dc.date1998-08-31
dc.date1998-11-08
dc.date.accessioned2026-07-07T06:15:37Z
dc.date.available2026-07-07T06:15:37Z
dc.descriptionIn a previous paper, we have proposed assigning as the value of a physical quantity in quantum theory, a certain kind of set (a sieve) of quantities that are functions of the given quantity. The motivation was in part physical---such a valuation illuminates the Kochen-Specker theorem; and in part mathematical---the valuation arises naturally in the topos theory of presheaves. This paper discusses the conceptual aspects of this proposal. We also undertake two other tasks. First, we explain how the proposed valuations could arise much more generally than just in quantum physics; in particular, they arise as naturally in classical physics. Second, we give another motivation for such valuations (that applies equally to classical and quantum physics). This arises from applying to propositions about the values of physical quantities some general axioms governing partial truth for any kind of proposition.
dc.descriptionSmall changes and corrections
dc.identifierhttps://arxiv.org/abs/quant-ph/9808067
dc.identifierhttp://arxiv.org/abs/quant-ph/9808067
dc.identifierInt.J.Theor.Phys. 38 (1999) 827-859
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93805
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleA topos perspective on the Kochen-Specker theorem: II. Conceptual Aspects, and Classical Analogues:
dc.typetext

Files

Collections

arXiv