An alternative Gospel of structure: order, composition, processes
Category Theory
2013-08-15 v1 Computation and Language
Quantum Physics
Abstract
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 paper also serves as an introduction to these structures and their current and potentially future uses in linguistics, physics and knowledge representation.
Cite
@article{arxiv.1307.4038,
title = {An alternative Gospel of structure: order, composition, processes},
author = {Bob Coecke},
journal= {arXiv preprint arXiv:1307.4038},
year = {2013}
}
Comments
Introductory chapter to C. Heunen, M. Sadrzadeh, and E. Grefenstette. Quantum Physics and Linguistics: A Compositional, Diagrammatic Discourse. Oxford University Press, 2013