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A quantum logic of down below

Bruza, Peter D., Widdows, Dominic, & Woods, John (2009) A quantum logic of down below. In Engesser, Kurt, Gabbay, Dov, & Lehmann, Daniel (Eds.) Handbook of Quantum Logic and Quantum Structures : Quantum Logic. Elsevier, pp. 625-660.

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Abstract

This chapter is offered as a contribution to the logic of down below. We attempt to demonstrate that the nature of human agency necessitates that there actually be such a logic. The ensuing sections develop the suggestion that cognition down below has a structure strikingly similar to the physical structure of quantum states. In its general form, this is not an idea that originates with the present authors. It is known that there exist mathematical models from the cognitive science of cognition down below that have certain formal similarities to quantum mechanics. We want to take this idea seriously. We will propose that the subspaces of von Neumann-Birkhoff lattices are too crisp for modelling requisite cognitive aspects in relation to subsymbolic logic. Instead, we adopt an approach which relies on projections into nonorthogonal density states. The projection operator is motivated from cues which probe human memory.

Impact and interest:

11 citations in Scopus
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ID Code: 18551
Item Type: Book Chapter
Keywords: Quantum theory, semantic space, sub-symbolic reasoning
ISBN: 9780444528698
Subjects: Australian and New Zealand Standard Research Classification > PHILOSOPHY AND RELIGIOUS STUDIES (220000) > PHILOSOPHY (220300) > Philosophy of Cognition (220312)
Australian and New Zealand Standard Research Classification > PSYCHOLOGY AND COGNITIVE SCIENCES (170000) > OTHER PSYCHOLOGY AND COGNITIVE SCIENCES (179900) > Psychology and Cognitive Sciences not elsewhere classified (179999)
Australian and New Zealand Standard Research Classification > PHILOSOPHY AND RELIGIOUS STUDIES (220000) > PHILOSOPHY (220300) > Logic (220308)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2009 IEEE
Deposited On: 10 Mar 2009 09:45
Last Modified: 29 Feb 2012 23:49

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