Roberto Casati

Alexandre Koyré wrote that Newton and the science that followed led to a splitting of the world: on the one hand is the “world of qualities and of sensible perceptions”, on the other is the “world of quantities and of reified geometry”. A comparison between facts held true by common sense and false by the scientific image of the world (or vice versa) seems to confirm this view. But is the dichotomy a real one? Is the world of common sense really “another world” relative to the world of the natural sciences? In this paper we argue in support of a negative answer.

In this article I assess some results that purport to show the existence of a type of 'topological perception', i.e., perceptually based classification of topological features. Striking findings about perception in insects appear to imply that (1) configural, global properties can be considered as primitive perceptual features, and (2) topological features in particular are interesting as they are amenable to formal treatment. I discuss four interrelated questions that bear on any interpretation of findings about the perception of topological properties: what exactly are topological properties, what makes them global, in what sense the quoted findings makes them primitive, and what are the hopes of a formal theory of perception based upon them. I suggest that mathematical topology is not the correct model for cognition topological properties, hence that some other formalism ought to be used—a form of “internalized topology.” However, once the principles of this type of topology are spelled out, they may not be as globalistic as one may have expected.

Some concepts, such as colour concepts or value concepts, seem to bear traces of the mind's own make-up. For instance, the character of perceptually-determined colour concepts seems in some sense derivative from the character of the visual system. Thus, it has seemed plausible to claim that the corresponding colour properties are dispositions to elicit certain visual experiences in normal observers under suitable conditions. Much the same has been suggested for value concepts. An extreme position would be that colours and values therefore are not in the world at all, they instead are mere projections that tell us more about the users of response-dependent concepts than about the world they inhabit. But even setting aside such extreme views, a number of important philosophical and psychological questions remain open. What exactly is response-dependence, and does any concept have this feature? What is the appropriate metaphysics for properties represented by response-dependent concepts, and for these concepts themselves? What determines the extension of such properties? How are we to account for knowledge expressed in terms of response-dependent concepts? What mechanisms correctly explain the origins of response-dependent concepts, and their role in representation? This volume brings together a wide range of views on these questions.