Since the turn of the 19 th and 20 th centuries when systematic research on antique Greek mathematics began, the general tone of historiographical work in the field has been dominated by the so-called internalist attitude. H.G. Zeuthen, P. Tannery and others initiated a research tradition whose goal is to reconstruct the mathematical development of the minus 5 th and 4 th century Greece by prov...

There exists a dispute in philosophy, going back at least to Leibniz, whether is it possible to view the world as a network of relations and relations between relations with the role of objects, between which these relations hold, entirely eliminated. Category theory seems to be the correct mathematical theory for clarifying conceptual possibilities in this respect. In this theory, objects acqu...

ri^HE Society of Natural Hiftorians at BerJL lin have propofed the following question for a prize of twenty ducats: l. " How " Jong is the virus producing hydrophobia ca" pable of remaining in an animal, and what is w the length of time required for communicat" ing it? 2. How long can this fame virus " remain in the body without manifefting itfelf ? " From the moment the difeafe is communi" cat...

Von Neumann: Help Sought with Film: A. N. Feldzamen; Beam Storage in the Cambridge Electron Accelerator: M. S. Livingston; The Landscape: Economic Abandonment: P. van Dresser; R. E. LaFond; A. R. Lepley; Prohyphen: S. A. Brown; New Russian Journal in Genetics: H. J. Muller; Academic Administrators: New Breed: R. F. Carbone; A. J. Dibden; Erratum: Training Stipends for Foreign Biologists ...... ...

A survey of the /eld of hypercomputation, including discussion of four a priori objections to the possibility of hypercomputation. An exegesis of Turing’s preand post-war writings on the mind is given, and Turing’s views on the scope of machines are discussed. c © 2003 Published by Elsevier B.V.

Introduction If we were to acknowledge the interpretive character of our public debates over some of the issues that concern us, we would secure a firm foundation for a deliberative form of democracy. For we would then talk and listen to one another with mutual respect, not simply because political theorists encourage us to do so, but because we recognize the interpretive status of our own posi...

This document presents some views on the semantic of the probability notion. It's mainly a summary of di erent readings, in particular of a Stanford Encyclopaedia of Philosophy article. Probabilities are daily used in real world application, often without a clear understanding of their mathematical foundation and of the meaning we attach to them. This lack of understanding often leads to bad in...