It is stressed that the brain/mind complex constitutes a monolithic system that functions with emergent properties at several levels of hierarchical organization. These hierarchical levels are non-reducible to one another; they are at least three (neuronal, functional, and semantic), and they function within an interactional plan. From the epistemological view-point, the brain/mind complex uses...

In the spirit of this enlightening conversation and indeed of this entire volume—promoting mutual understanding and learning between philosophers, logicians and linguists working on vagueness related issues—I shall in these comments consider three points, which if not kept in mind have significant potential to promote misunderstanding between practitioners of these three disciplines. All three ...

In this paper we summarize some fundamental results on left-continuous t-norms. First we study the nilpotent minimum and related operations in considerable details. This is the very first example of a left-continuous but not continuous t-norm in the literature. Then we recall some recent extensions and construction methods.

J. R. Vázquez de Aldana, N. J. Kylstra, L. Roso, P. L. Knight, A. Patel, and R. A. Worthington Departamento de Fı́sica Aplicada, Universidad de Salamanca, E-37008 Salamanca, Spain Department of Physics, Science Laboratories, University of Durham, Durham DH1 3LE, United Kingdom Optics Section, Blackett Laboratory, Imperial College, London SW7 2BW, United Kingdom ~Received 20 December 2000; publis...