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  1. Against the Tyranny of ‘Pure States’ in Quantum Theory.Christian de Ronde & Cesar Massri - forthcoming - Foundations of Science:1-15.
    We argue that the notion of pure sate within Standard Quantum Mechanics is presently applied within the specialized literature in relation to two mutually inconsistent definitions. While the first provides a basis-dependent definition which makes reference to the certain prediction of measurement outcomes, the latter provides a purely abstract invariant definition which lacks operational content. In this work we derive a theorem which exposes the serious inconsistencies existent within these two incompatible definitions of purity.
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  • A Bridge Between Q-Worlds.Benjamin Eva, Masanao Ozawa & Andreas Doering - forthcoming - Review of Symbolic Logic:1-40.
    Quantum set theory and topos quantum theory are two long running projects in the mathematical foundations of quantum mechanics that share a great deal of conceptual and technical affinity. Most pertinently, both approaches attempt to resolve some of the conceptual difficulties surrounding quantum mechanics by reformulating parts of the theory inside of non-classical mathematical universes, albeit with very different internal logics. We call such mathematical universes, together with those mathematical and logical structures within them that are pertinent to the physical (...)
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  • The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations.Christian de Ronde & Cesar Massri - unknown
    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 (...)
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  • Category Theory.Jean-Pierre Marquis - 2008 - Stanford Encyclopedia of Philosophy.
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