From 1901 till, at least, 1919, Russell persistently maintained that there are two kinds of logic, between which he sharply discriminated: mathematical logic and philosophical logic. In this paper, we discuss the concept of philosophical logic, as used by Russell. This was only a tentative program that Russell did not clarify in detail, so our task will be to make it explicit. We shall show that there are three (-and-a-half) kinds of Russellian philosophical logic: (i) “pure logic”; (ii) philosophical logic (...) investigating the logical forms of propositions; (iii) philosophical logic exploring the logical forms of facts: in epistemology; and in the external world. In particular, Russell’s program or philosophical logic of the facts of the external world remained less than sketchily outlined. We shall discuss it in some detail in the hope that it can start a new life. (shrink)

Les Remarques philosophiques sont la première tentative de mettre en oeuvre le programme qui découle de l’échec du projet du Tractatus Logico-Philosophicus. Le noyau de ce programme est donné par l’abandon de l’analyse des nombres avancée dans le Tractatus. Wittgenstein se rend compte que les nombres doivent se trouver à la base même du langage, dans la structure des propositions élémentaires. En même temps, il se rend compte qu’il est impossible de fournir la logique sousjacente au langage avant d’avoir procédé (...) à l’analyse. Le projet d’une investigation logique des phénomènes s’imposait, donc, même après l’abandon de l’idée d’un langage phénoménologique. The Philosophical Remarks is a first attempt at pursuing the philosophical agenda determined by the failure of the Tractarian project. The central point of this agenda is the abandonment of the analysis of number that had been given in the Tractatus. Wittgenstein realizes that numbers should be brought back to the basis of language, as part of the structure of the elementary propositions themselves. At the same time, he realizes that it is impossible to give the logic underlying our language before the process of logical analysis is carried out. He undertakes the project of a logical investigation of phenomena even after giving up the idea of a phenomenological language. (shrink)

In the preface of the Philosophical Investigations, Wittgenstein says that his “most fruitful ideas” are due to the stimulus of Sraffa's criticism, but Sraffa is not mentioned anywhere else in the book. It remains a puzzle in the literature how and why Sraffa influenced Wittgenstein. This paper presents a solution to this puzzle. Sraffa's criticism led Wittgenstein away from the calculus conception of language of the Big Typescript (arguably, an adaptation of the calculus of the Tractatus), and towards the “anthropological (...) view,” which structures both the opening sections of the Philosophical Investigations and Wittgenstein's later philosophy of mathematics. (shrink)

Dans cet article, j’essaie de montrer que l’idée du langage comme calcul structure la philosophie de Wittgenstein dans le Big Typescript. Pour ce faire, je commence par mettre en relief les différences entre la conception du langage comme calcul dans le Tractatus, et sa reformulation dans le Big Typescript ; j’explique ensuite comment l’idée de l’autonomie de la grammaire est à la base de la conception de la « grammaire » ou du langage comme calcul. J’espère pouvoir montrer ainsi l’unité (...) de la philosophie de Wittgenstein aux alentours de 1932-1933. Il doit en ressortir que sa philosophie à l’époque du Big Typescript présente un intérêt en elle-même, quoiqu’il ne s’agisse pas encore de la philosophie des Recherches philosophiques.I aim at showing that the idea of language as a calculus is the central view that shapes Wittgenstein’s philosophy in the Big Typescript. In order to do so, I first contrast the conception of language as a calculus in the Tractatus with its reformulation in the BigTypescript ; then I explain how the idea of the autonomy of grammar grounds the conception of “grammar” or language as calculus. With this on hand, I give an overview of the unity of Wittgenstein’s philosophy around 1932-1933. It should become clear that his philosophy at the time is worth arguing for, even though it is not yet the philosophy of the PhilosophicalInvestigations. (shrink)