In the Platonic dialogue that bears his name, Protagoras in a myth and in a logos positively affirms the absolute character of universal moral values, such as force themselves upon all men; this makes one think that the famous man-measure dictum was subservient to the ends that the sophist had in view as a teacher of areté. Indeed, his condemnation in that dialogue of the sophists who, like Hippias, included in their teaching mathematical and naturalistic studies must be connected with (...) the criticism of mathematics reported by an Aristotelian text. These studies, that is to say purely theoretic disciplines, were considered by Protagoras not only useless for the spiritual formation of men and citizens, but also void of any certitude and objectivity whatever. We feel therefore allowed to suggest that also the man-measure principle had to perform an office of the same kind: to show that natural philosophy could not yield an objective knowledge of φύσις which formed its object, because such knowledge is denied to man. (shrink)

L’auteur, après avoir brièvement examiné et discuté le néo-réalisme américain, qui subordonne la philosophie à la science, le logicisme de l’école de Marburg, et l’idéalisme critique de Brunschvicg qui la réduisent à une gnoséologie de la pensée scientifique, et l'idéalisme historiciste de Croce et de Gentile, qui déyalue la science, conclut que la philosophie peut enseigner à la science si eile a la possibilté de saisir la réalité objective, mais qu’elle doit apprendre d’elle à critiquer les principes ou propositions acceptés (...) sans examen suffisant. (shrink)

The aim of the present paper is to attack some of the conceptual problems that arise when the framework of mathematical learning theory is applied to the description of the behavior of the firm, in setting prices and production quotas, in a competitive market. The goal is to depict the process by which the firm fixes prices and production quotas as a stochastic learning process. A solution to such problems is proposed which is based on statistical-decision concepts. The conceptualization of (...) the behavior of the firm by means of concepts pertaining to mathematical learning theory gives rise to certain mathematical problems, which are formulated here in rather precise terms. (shrink)

Centre for Applied Philosophy and Public Ethics University of Melbourne, Parkville, 3010, Australia and.