Tim Porter and I have been working on a paper called `The intuitions of higher dimensional algebra for the study of structured space' which may be downloaded from http://www.bangor.ac.uk/~mas010/paris-cogn8.ps.gz http://www.bangor.ac.uk/~mas010/paris-cogn8.pdf This develops a lecture given by Brown to the seminar Series `Géometrie et Cognition' of G. Longo et al at the ENS, Paris, in May, 2001, see http://www.di.ens.fr/~longo/geocogni.html The invitation came about via the concurrency connection with HDA (see GETCO). The talk, and similarly the article, was addressed to a general audience. The paper is submitted to Revue de Synthèse. The aim of the paper is to suggest wider links and hopefully look to the future; we would be interested in hearing of other general links of this type. Comments will be appreciated. Ronnie Brown and Tim Porter Professor Emeritus R. Brown, School of Informatics, Mathematics Division, University of Wales, Bangor Dean St., Bangor, Gwynedd LL57 1UT, United Kingdom Tel. direct:+44 1248 382474|office: 382681 fax: +44 1248 361429 World Wide Web: home page: http://www.bangor.ac.uk/~mas010/ (Links to survey articles: Higher dimensional group theory Groupoids and crossed objects in algebraic topology) Raising Public Awareness of Mathematics CDRom Version 1.1 http://www.bangor.ac.uk/~mas010/CDadvert.html Symbolic Sculpture and Mathematics: http://www.cpm.informatics.bangor.ac.uk/sculmath/ Centre for the Popularisation of Mathematics http://www.cpm.informatics.bangor.ac.uk/