Topological Foundations of Cognitive Science

A collection of papers presented at the First International Summer Institute in Cognitive Science, University at Buffalo, July 1994, including the following papers: ** Topological Foundations of Cognitive Science, Barry Smith ** The Bounds of Axiomatisation, Graham White ** Rethinking Boundaries, Wojciech Zelaniec ** Sheaf Mereology and Space Cognition, Jean Petitot ** A Mereotopological Definition of 'Point', Carola Eschenbach ** Discreteness, Finiteness, and the Structure of Topological Spaces, Christopher Habel ** Mass Reference and the Geometry of Solids, Almerindo E. Ojeda ** Defining a 'Doughnut' Made Difficult, N .M. Gotts ** A Theory of Spatial Regions with Indeterminate Boundaries, A.G. Cohn and N.M. Gotts ** Mereotopological Construction of Time from Events, Fabio Pianesi and Achille C. Varzi ** Computational Mereology: A Study of Part-of Relations for Multi-media Indexing, Wlodek Zadrozny and Michelle Ki

The Metaphysics of Mental Representation

The representational theory of mind (RTM) explains the phenomenon of intentionality in terms of the existence and nature of mental representations. Despite the typical characterisation of mental representations in terms of their semantics, RTM is best understood as a metaphysical – more specifically formal ontological – theory whose primary defining feature is stipulating the existence of a class of mental particulars called representations. In this regard it is false, since mental representations do not exist. My argument is primarily methodological. Using an extended analysis of mereology and its variants as paradigmatic examples of a formal ontological theory, I argue for a 'synthetic’ approach to ontology which seeks to form a sound descriptive characterisation of the relevant phenomena from empirical data, to which philosophical analysis is applied to produce a rigorous theory. The value and necessity of this method is proved by example in our discussion of mereology which is shown to be defensible given certain assumptions, in particular perdurantism, but still inadequate as an account of parthood without considerable supplementation. We also see that there are viable alternatives which adopt a more synthetic approach and do not require the same assumptions. Having effectively demonstrated the value of a synthetic approach in ontology I critically examine the methodology employed by RTM and find it severely lacking. In the guise of ‘commonsense psychology’ RTM cavalierly imposes a theoretical framework without regard to empirical data, and this results in a severe distortion of the phenomenon of intentionality it purports to explain. RTM is methodologically unsound, and so its commitment to the existence of mental representations is utterly undermined. Furthermore the most attractive aspect of RTM – its semantics – can be separated from any commitment to mental representations existing. Even RTM’s strongest advocates lack motivation to believe that mental representations exist

Metaphysics Today and Tomorrow

This text was conceived as a synthetic introduction to the present-day situation of metaphysics and of ontology, to their stakes and their practices in the world and in France, by way of a preamble to the activities of the Atelier de métaphysique et d’ontologie contemporaines [Workshop on Contemporary Metaphysics and Ontology] at the École normale supérieure. It certainly does not claim to replace the more informed and complete works on which it rests, and which are indicated in the bibliography. Nor was it written with the intention of being polemical against whatever conception of metaphysics, even if it goes without saying that the question is approached in a necssarily partisan, though resolutely conciliatory, manner