This article suggests a ‘best alternative' justification of induction (in the sense of Reichenbach) which is based on meta-induction . The meta-inductivist applies the principle of induction to all competing prediction methods which are accessible to her. It is demonstrated, and illustrated by computer simulations, that there exist meta-inductivistic prediction strategies whose success is approximately optimal among all accessible prediction methods in arbitrary possible worlds, and which dominate the success of every noninductive prediction strategy. The proposed justification of meta-induction is (...) mathematically analytical. It implies, however, an a posteriori justification of object-induction based on the experiences in our world. *Received November 2005; revised March 2008. †To contact the author, please write to: Department of Philosophy, University of Duesseldorf, Universitaetsstrasse 1, Geb. 23.21, Duesseldorf, Germany D-40225; e-mail: gerhard[email protected]. (shrink)

L'histoire des fondements des mathématiques du xxe siècle montre qu'il nous faut réviser la signification des notions philosophiques traditionnelles comme « évidence », « existence », « expérience » ou « rationalité ». On expose comment le logicien Paul Bernays, familier des conceptions de la philosophie de Jacob Friedrich Fries et de Léonard Nelson, donne aux résultats techniques une interprétation philosophique dont il s'inspire de plus en plus - à partir du milieu du siècle - de la « philosophie ouverte (...) » de Ferdinand Gonseth. Bien avant Thomas Kuhn, Bernays conçoit la révision envisagée non pas simplement comme une question de vérité ou de fausseté, mais comme un problème exigeant l'introduction d'un nouveau système conceptuel. Cependant, l'affaiblissement du concept de vérité est pour lui une conséquence épistémologique provenant de la théorie de la connaissance adoptée et non une conséquence méthodologique issue d'un changement de paradigme et donc d'une incommensurabilité. (shrink)

Strong notions of free will are closely connected to the possibility to do otherwise as well as to an agent’s ability to causally influence her environment via her decisions controlling her actions. In this paper we employ techniques from the causal modeling literature to investigate whether a notion of free will subscribing to one or both of these requirements is compatible with naturalistic views of the world such as non-reductive physicalism to the background of determinism and indeterminism. We argue that (...) from a causal modeler’s perspective the only possibility to get both requirements consists in subscribing to reductive physicalism and indeterminism. (shrink)

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A SUMMARY IN ENGLISH [by Editor]The problem is to find out whether mathematical propositions are analytical, and if so, or if not, to what extent.Kant defined the analyticity in terms of Cartesian res extensa, exemplified by “A body is extended”, while he considered, because of such examples, mathematical propositions to be synthetic. The recent studies in set theory by Gödel, P.J.Cohen, etc., indicate, however, that such a proposition as the continuum hypothesis is certainly not “analytic (tautological)” in the strict sense (...) of logicists. Rather a small portion, comparatively speaking, of mathematical propositions must therefore be considered analytic relative to the definitions of fundamental conrepts in logic. Axioms, for example, are per definitionem non-analytic. Other problems that demand reöxaminations are, for instance: 1. Why is there only one unique series of the natural numbers? 2. On which ground is the factual eminence of Euclidean geometry to be founded? etc. The two assertions that mathematical propositions are analytic and that they are synthetic a priori are thus not at all contradictory; they are, to begin with, not even mutually exclusive Possibilities. (shrink)

Donald Davidson's unified theory of language and action can be understood as a continuation of the traditional analytic approach within philosophy of language and action. In the following we give an outline of some of the main themes of his philosophy centered around his core theory of radical interpretation (RI). His theory of rationality, his thesis of the anomalousness of the mental, and the externalist approach in his model of triangulation all follow in a systematic way from RI. Yet, Davidson's (...) philosophy can also be seen as giving a new systematic elaboration of central perspectives of W,v.O Quine's theory of language. In order to follow Davidson's main theses one therefore has to clarify the main differences and correspondences between both approaches. (shrink)