This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the (...) formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages. (shrink)

Le texte traduit ici est tiré d’un recueil réunissant plusieurs écrits du philosophe allemand Franz Brentano (1838-1917) et publié en 1925 par son disciple Alfred Kastil sous le titre Essai sur la connaissance. La pièce maîtresse du recueil est un manuscrit de Brentano intitulé « À bas les préjugés ! », portant le sous-titre : « Une exhortation pour inciter l’époque actuelle à renoncer, dans l’esprit de Bacon et de Descartes, à tous les a priori aveugles » (1903). Nous avons (...) traduit la première partie de ce texte, dans laquelle Brentano s’attaque simultanément au common sense du philosophe écossais Thomas Reid et aux jugements synthétiques a priori d’Immanuel Kant. Cet extrait constitue l’un des rares documents dans lesquels Brentano expose sans détours son opposition radicale à un certain kantisme et, plus largement, à toute forme de constructivisme. Brentano s'attaque à l'idée kantienne du synthétique a priori, en jetant les bases d'un programme gnoséologique dont l'axe central est l'exhibition des sources empiriques de nos concepts fondamentaux (substance, cause, être, nécessité, etc.). Ce programme sera développé à son tour par Carl Stumpf ('Erkenntnislehre', 1939). (shrink)

To recapitulate, then, for Reichenbach probability is the foundation of both metaphysics and epistemology. Metaphysically, probability is fundamental because it is the probability relations among the sequences of events in the world that gives rise to causality, time, and space. Epistemologically, probability is fundamental because empirical knowledge is simply knowledge of probabilities. Even knowledge of observation sentences is considered to be probabilistic knowledge by Reichenbach (EP, pp. 183–188), because Reichenbach's fallibilism leads him to hold that no observation sentence is absolutely (...) incorrigible, and with the advance of scientific knowledge we need to inquire into the probability that our singular observation judgments may be in error.My aim here has not been to argue that Reichenbach succeeded in his magnificent attempt any more than Carnap succeeded in his. But I hope to have convinced you that is was one of the most magnificent attempts by any empiricist philosopher of this or of any other century, and I believe that the effort to understand it and to master its details will as richly repay us as the much greater effort which has been devoted to the study of Carnap's work has already repayed us. (shrink)

Selon Fries, il existe d’autres procédures de justification que celle de la preuve et la théorie de la justification doit dépasser le « préjugé de la preuve ». Kant a lui-même été la victime de ce préjugé faute d’avoir distingué entre la connaissance transcendantale et son objet (la connaissance a priori à laquelle elle se rapporte). Fries estime que la critique peut être empirique ou a posteriori sans que cela affecte le moins du monde le statut a priori de son (...) objet. La théorie friesienne de la justification comporte également une théorie originale de l’induction. (shrink)