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The generalised liar paradox: A quantum model and interpretation [Book Review]

Jan Broekaert, Diederik Aerts & Bart D’Hooghe

Foundations of Science 11 (4):399-418 (2006)

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Quantum Probability — Quantum Logic.Itamar Pitowsky - 2014 - Springer.details This book compares various approaches to the interpretation of quantum mechanics, in particular those which are related to the key words "the Copenhagen interpretation", "the antirealist view", "quantum logic" and "hidden variable theory". Using the concept of "correlation" carefully analyzed in the context of classical probability and in quantum theory, the author provides a framework to compare these approaches. He also develops an extension of probability theory to construct a local hidden variable theory. The book should be of interest for (...) Download Export citation Bookmark 51 citations
Intrinsic contextuality as the crux of consciousness.D. Aerts, J. Broekaert & Liane Gabora - 2002 - In Kunio Yasue, Mari Jibu & Tarcisio Della Senta (eds.), No Matter, Never Mind: Proceedings of Toward a Science of Consciousness: Fundamental Approaches (Tokyo '99). John Benjamins.details A stream of conscious experience is extremely contextual; it is impacted by sensory stimuli, drives and emotions, and the web of associations that link, directly or indirectly, the subject of experience to other elements of the individual's worldview. The contextuality of one's conscious experience both enhances and constrains the contextuality of one's behavior. Since we cannot know first-hand the conscious experience of another, it is by way of behavioral contextuality that we make judgements about whether or not, and to what (...) Download Export citation Bookmark 7 citations
The liar-paradox in a quantum mechanical perspective.Diederik Aerts, Jan Broekaert & Sonja Smets - 1999 - Foundations of Science 4 (2):115-132.details In this paper we concentrate on the nature of the liar paradox asa cognitive entity; a consistently testable configuration of properties. We elaborate further on a quantum mechanical model (Aerts, Broekaert and Smets, 1999) that has been proposed to analyze the dynamics involved, and we focus on the interpretation and concomitant philosophical picture. Some conclusions we draw from our model favor an effective realistic interpretation of cognitive reality. Download Export citation Bookmark 9 citations
Quantum structures, separated physical entities and probability.Diederik Aerts - 1994 - Foundations of Physics 24 (9):1227-1259.details We prove that if the physical entity S consisting of two separated physical entities S1 and S2 satisfies the axioms of orthodox quantum mechanics, then at least one of the two subentities is a classical physical entity. This theorem implies that separated quantum entities cannot be described by quantum mechanics. We formulate this theorem in an approach where physical entities are described by the set of their states, and the set of their relevant experiments. We also show that the collection (...) Download Export citation Bookmark 11 citations
Description of many separated physical entities without the paradoxes encountered in quantum mechanics.Dirk Aerts - 1982 - Foundations of Physics 12 (12):1131-1170.details We show that it is impossible in quantum mechanics to describe two separated physical systems. This is due to the mathematical structure of quantum mechanics. It is possible to give a description of two separated systems in a theory which is a generalization of quantum mechanics and of classical mechanics, in the sense that this theory contains both theories as special cases. We identify the axioms of quantum mechanics that make it impossible to describe separated systems. One of these axioms (...) Download Export citation Bookmark 46 citations

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