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Quantum Physics and LinguisticsA Compositional, Diagrammatic Discourse$
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Chris Heunen, Mehrnoosh Sadrzadeh, and Edward Grefenstette

Print publication date: 2013

Print ISBN-13: 9780199646296

Published to Oxford Scholarship Online: May 2013

DOI: 10.1093/acprof:oso/9780199646296.001.0001

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An Alternative Gospel of Structure: Order, Composition, Processes

An Alternative Gospel of Structure: Order, Composition, Processes

(p.1) CHAPTER 1 An Alternative Gospel of Structure: Order, Composition, Processes
Quantum Physics and Linguistics

Bob Coecke

Oxford University Press

We survey some basic mathematical structures, which arguably are more primitive than the structures taught at school. These structures are orders, with or without composition, and (symmetric) monoidal categories. We list several ‘real life’ incarnations of each of these. This chapter also serves as an introduction to these structures and their current and potential future uses in linguistics, physics, and knowledge representation.

Keywords:   order theory, category theory, logic, type grammars, physics, causal and relative structures

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