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The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations.

de Ronde, Christian and Massri, Cesar (2018) The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations. [Preprint]

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Abstract

In this paper we present a new categorical approach which attempts to provide an original understanding of QM. Our logos categorical approach attempts to consider the main features of the quantum formalism as the standpoint to develop a conceptual representation that explains what the theory is really talking about —rather than as problems that need to be bypassed in order to allow a restoration of a classical “common sense” understanding of what there is. In particular, we discuss a solution to Kochen-Specker contextuality through the generalization of the meaning of global valuation. This idea has been already addressed by the so called topos approach to QM —originally proposed by Isham, Butterfiled and D ̈oring— in terms of sieve-valued valuations. The logos approach to QM presents a different solution in terms of the notion of intensive valuation. This new solution stresses an ontological (rather than epistemic) reading of the quantum formalism and the need to restore an objective (rather than classical) conceptual representation and understanding of quantum physical reality.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
de Ronde, Christiancderonde@gmail.com
Massri, Cesar
Keywords: Categories, Logoi, contextuality, Kochen-Specker theorem, intensive valuation.
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Christian de Ronde
Date Deposited: 02 Jan 2018 05:53
Last Modified: 02 Jan 2018 05:53
Item ID: 14247
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 1 January 2018
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14247

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