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Topos-Theoretic Approaches to Quantum Theory
Topos theory quantum logic category theory operational quantum mechanics
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2016/5/31
Starting from a naive investigation into the nature of experiments on a physical system one can argue that states of the system should pair non-degenerately with physical observables. This duality is ...
Topos Theory as a Framework for Partial Truth
Topos theory category theory partial truth
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2008/4/21
This paper develops some ideas from previous work (coauthored, mostly
with C.J.Isham). In that work, the main proposal is to assign as the
value of a physical quantity in quantum theory (or classica...
A Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalised Valuations
Kochen-Specker theorem category theory
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2008/4/9
Any attempt to construct a realist interpretation of quantum theory founders on the Kochen-Specker theorem, which asserts the impossibility of assigning values to quantum quantities in a way that pres...