Random simulation of complex dynamical systems is generally used in order to obtain information about their asymptotic behaviour (i.e., when time or size of the system tends towards infinity). A fortunate and welcome circumstance in most of the systems studied by physicists, biologists, and economists is the existence of an invariant measure in the state space allowing determination of the frequency with which observation of asymptotic states is possible. Regions found between contour lines of the surface density of this invariant (...) measure are called confiners. An example of such confiners is given for a formal neural network capable of learning. Finally, an application of this methodology is proposed in studying dependency of the network's invariant measure with regard to: 1) the mode of neurone updating (parallel or sequential), and 2) boundary conditions of the network (searching for phase transitions). (shrink)

I temi della fede e della religione, e del loro conflitto con la cultura laica, sono da qualche tempo al centro di un interesse mediatico crescente, alimentato anche dalle polemiche politiche suscitate dal moltiplicarsi degli interventi e delle "scomuniche" del papa e della Conferenza Episcopale Italiana contro la modernità. Mancava fin qui, tuttavia, un testo di discussione, da punti di vista diversi e reciprocamente problematici, sulle ragioni dell'ateismo e della fede. Un confronto tra gli esponenti di tre posizioni ideologiche molto (...) lontane tra loro, accomunate però dal rifiuto di ogni appartenenza accademica: il cristianesimo nietzschiano del "pensiero debole" di Gianni Vattimo, la saggezza atea di una tradizione antica rilanciata da Michel Onfray e l'empirismo naturalistico-esistenziale della "filosofia del finito" di Paolo Flores d'Arcais. In questo insolito dialogo a tre voci emergono tutti gli interrogativi essenziali legati al problema, a partire da quello più generale: quali devono essere i rapporti tra filosofia e ateismo? L'"ipotesi Dio" deve ormai essere considerata superflua anche dalla riflessione filosofica, visto che le scienze ne fanno metodologicamente a meno? Quali sono le conseguenze etiche e politiche dell'essere atei o, all'opposto, credenti? (shrink)

Plotinus is the first Greek philosopher to hold a systematic theory of consciousness. The key feature of his theory is that it involves multiple layers of experience: different layers of consciousness occur in different levels of self. This layering of higher modes of consciousness on lower ones provides human beings with a rich experiential world, and enables human beings to draw on their own experience to investigate their true self and the nature of reality. This involves a robust notion of (...) subjectivity. However, it is a notion of subjectivity that is unique to Plotinus, and remarkably different from the Post-Cartesian tradition. Behind the plurality of terms Plotinus uses to express consciousness, and behind the plurality of entities to which Plotinus attributes consciousness, lies a theory of human consciousness. It is a Platonist theory shaped by engagement with rival schools of ancient thought. (shrink)

Lectures on Hindu monistic (Advaita) Vedanta philosophy.

One problem that students of cognitive science are likely to encounter in their examination of the literature on bounded rationality is that of finding a succinct formulation of the relevant boundedness claim in the first place. In this chapter I provided such a formulation, before going on to locate the debate about bounded rationality against the background of competing pictures of cognitive virtue. I also consider a reason for pause about the the bounded rationality claim, viz. that it commits us (...) to a troubling form of "cognitive luck.". (shrink)

Proclus was one of the last great philosophers of Antiquity. His legacy in the cultural history of the west can hardly be overestimated. This book is the most comprehensive guide to Proclus' life, thought and legacy that is currently available.