This book presents a learned and ingenious attempt to understand the origin and nature of philosophical inquiry. It draws on material from numerous disciplines and from all periods of philosophy and provides challenging arguments on a wide range of topics. The author constructs a hierarchy of ontological claims, beginning with perceptual experience, moving to language and science. He traces subtle and unexpected relations among these and concludes by offering a system for classifying philosophical theories which reveals why they take the (...) form they do and why philosophical dispute is ineradicable. The book offers many fresh insights into such topics as the nature of experience, the nature of language and that of philosophy itself. It will interest a wide range of philosophers, in particular those concerned with categorical schemes, grammar and ontology. (shrink)

The Master Argument, recorded by Epictetus, indicates that Diodorus had deduced a contradiction from the conjoint assertion of three propositions. The Argument, which has to do with necessity and contingency and therefore with freedom, has attracted the attention of logicians above all. There have been many attempts at reconstructing it in logical terms, without excessive worry about historical plausibility and with the foregone conclusion that it was sophistic since it directly imperilled our common sense notion of freedom. This text takes (...) exception to recent tradition, translating the propositions into logical terms. The propositions figuring in The Master Argument are interpreted in terms of temporal modal logic where both the modalities and the statements they govern have chronological indices. This means that the force of the argument comes not from purely logical or modal considerations, but from our experience of time. (shrink)

The "Duhem-Quine thesis" says that isolated hypotheses are not singularly verifiable by experience, only the whole body of a theory being able to be subjected to the test of experience. I first examine the rather divergent meanings this thesis takes when it is replaced in the different contexts of Duhem's and Quine'sphilosophies. Secondly, questions are asked about the acceptability of the thesis, its logical strength and its historical soundness. Finally, the consequences of some doubts raised by this inquiry are examined (...) especially with respect to Quine's philosophy. (shrink)

This book presents a learned and ingenious attempt to understand the origin and nature of philosophical inquiry. It draws on material from numerous disciplines and from all periods of philosophy and provides challenging arguments on a wide range of topics. The author constructs a hierarchy of ontological claims, beginning with perceptual experience, moving to language and science. He traces subtle and unexpected relations among these and concludes by offering a system for classifying philosophical theories which reveals why they take the (...) form they do and why philosophical dispute is ineradicable. (shrink)

Introduction Première partie – Réflexions sur le développement de la théorie des équations algébriques Section première. Les règles de la méthode Chapitre premier. Le théorème de Lagrange Chapitre II. Le théorème de Gauss Chapitre III. La « méthode générale » d'Abel : preuves « pures » et démonstrations d'impossibilité Chapitre IV. La théorie de Galois Section deuxième – Mathématique universelle Chapitre V. La théorie de Klein Chapitre VI. La théorie de Lie Conclusion. La mathématique universelle Notes Note I. Sur la (...) notion mathématique de l'infini Note II. Sur les constructions géométriques dans les Eléments d'Euclide Note III. Le « principe des relations internes » Bibliographie. (shrink)

The "Duhem-Quine thesis" says that isolated hypotheses are not singularly verifiable by experience, only the whole body of a theory being able to be subjected to the test of experience. I first examine the rather divergent meanings this thesis takes when it is replaced in the different contexts of Duhem's and Quine'sphilosophies. Secondly, questions are asked about the acceptability of the thesis, its logical strength and its historical soundness. Finally, the consequences of some doubts raised by this inquiry are examined (...) especially with respect to Quine's philosophy. (shrink)

This book is an English version of a book published in 1984 in French, the aim of which was to give a reconstruction of Diodorus Cronus's Master Argument, together with a historical analysis of some of the central modal notions on which it draws. In preparing the English text, Vuillemin has made some changes to the logic of his reconstruction of Diodorus's Argument and added an epilogue. The Master Argument consisted of three premises: Every past truth is necessary, The impossible (...) does not follow from the possible, and Something is possible which neither is nor will be true. Diodorus claimed that these premises are inconsistent, and purported to derive the negation of the third premise, which is plausibly to be identified with the principle of plenitude, from the first two premises. (shrink)

The "Duhem-Quine thesis" says that isolated hypotheses are not singularly verifiable by experience, only the whole body of a theory being able to be subjected to the test of experience. I first examine the rather divergent meanings this thesis takes when it is replaced in the different contexts of Duhem's and Quine'sphilosophies. Secondly, questions are asked about the acceptability of the thesis, its logical strength and its historical soundness. Finally, the consequences of some doubts raised by this inquiry are examined (...) especially with respect to Quine's philosophy. (shrink)

The most valuable trends in contemporary philosophy were inspired by the will to make philosophy a science. Under the general label of Analytic philosophy they succeeded in introducing new methods using the extensive development of logic. A paradigm is afforded by Russell when he explains inexistent objects away by analyzing definite descriptions.

Cette édition numérique a été réalisée à partir d'un support physique, parfois ancien, conservé au sein du dépôt légal de la Bibliothèque nationale de France, conformément à la loi n° 2012-287 du 1er mars 2012 relative à l'exploitation des Livres indisponibles du XXe siècle. Pages de début Préface La section de la ligne dans la République Le problème de la mesure dans la perspective de l'Être et du non-Être Sur les principes des mathématiques chez Aristote et Euclide Sur la définition (...) euclidienne de la droite L'analyse et la synthèse selon Ibn al-Haytham Histoire de la théorie des parallèles Implicit versus explicit geometrical methodologies: The case of construction Descartes and Galileo: The quantification of time and force L'analogie et la pensée mathématique La naissance du projectif L'usage philosophique des mathématiques au XVIIesiècle Pages de fin. (shrink)