LOUIS COUTURAT PDF

I ga han ut La Logique de Leibniz, og i redigerte og ga han ut ei samling tidligere upubliserte arbeider av Leibniz, Opuscules et Fragments Inedits de Leibniz. Couturat og Leau ga i ut en brosjyre med navnet Une langue universelle est-elle possible? Appell til vitenskaps- og handelsmenn. Dette skiller seg fra situasjonen ellers i verden, der lederne var mye mer sosialt perifere. Det fins i mange biblioteker og har kommet ut i minst ei nyutgave.

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He taught philosophy at the universities of Toulouse and Caen but soon gave up teaching in order to devote all of his time to his own researches. In opposition to the formalist theories of number of Julius Dedekind, Leopold Kronecker , and Hermann Helmholtz, he bases number on magnitude—not on a strictly spatial intuition but on magnitude considered as the object of a "rational intuition.

His reasoning consisted of offering the actual infinite as a new generalization of number, analogous to those that resulted in signed numbers, fractions, irrationals, and imaginaries. All of these numbers at first seemed to be arithmetical nonsense, but they took on meaning once they were recognized as suitable for representing new magnitudes and for allowing various operations on them that were hitherto impossible. The justification for infinite numbers is that they are indispensable for maintaining the continuity of magnitudes.

After writing an essay his Latin complementary thesis on the myths of Plato, he devoted himself to Gottfried Wilhelm Leibniz , the great infinitist, whose reinterpretation he undertook independently of Bertrand Russell but at the same time and in the same sense. As indicated by the title of his book La logique de Leibniz Paris, , Couturat had at first intended simply to study the precursor of modern logistic. Taking the old formula praedicatum inest subjecto in all its rigor, Leibniz held that every true proposition can be resolved into identities provided one pursues its analysis to the end.

Contingent or factual truths differ from the necessary truths of reason only in respect to the infinite length of the analysis, an analysis which God alone is able to complete. Couturat showed, with supporting texts, that all the theses of the Leibnizian metaphysics are obtained from this position and derive their unity from it.

The system thus appears as a panlogism. He now concluded that "the progress of logic and mathematics in the nineteenth century has invalidated the Kantian theory and decided the issue in favor of Leibniz" and his ideal of a completely "intellectualized" mathematics.

The majestic edifice of the three Critiques lacks the indispensable basement of a logic on a level with science. After the establishment of the Revue in , scarcely a year passed when he did not publish one or more articles in this spirit some thirty at the time of his death, plus three that appeared posthumously.

Rather than present original views, he dedicated himself with great disinterestedness to making known the views of others, mainly foreigners. He explained to French philosophers the mathematical logic of Guiseppe Peano, the universal algebra of Alfred North Whitehead , and the foundations of geometry and the principles of mathematics according to Russell.

In he founded and directed until his death the monthly review Progreso, written in the reformed language and designed to propagate it. The opposition of many Esperantists and the death of Couturat, which happened to come at the very moment when a war that exacerbated national particularisms was breaking out, caused the abandonment of the project.

His friends and admirers have often regretted that Couturat should have expended so much effort in vain and sacrificed his wide talent to a noble dream. Paris: Gauthier-Vill, Paris: Alcan, La logique de Leibniz. Georg Olms edition. Hildesheim, Germany, Includes a detailed bibliography.

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Couturat, Louis (1868–1914)

Biographies index Louis Couturat showed talents as a child over a large range of different topics as well as displaying artistic skills. For his doctorate he worked on two theses, one being a Latin thesis which made a scientific study of the myths of Plato in the Dialogues, the other being a mathematical thesis on infinity. Both of his theses were completed by May but it was two years later before he defended his theses at the Sorbonne and was awarded his doctorate with the highest distinction. In this work Couturat argued strongly in favour of the actual infinite. Dedekind , Kronecker , and Helmholtz were already strong advocates of formalist theories so Couturat took a stand against major established figures - a brave move in a doctoral thesis.

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Louis Couturat (1868 – 1914)

Like Russell, Couturat saw symbolic logic as a tool to advance both mathematics and the philosophy of mathematics. His first major publication was Couturat In , he published La Logique de Leibniz, a detailed study of Leibniz the logician, based on his examination of the huge Leibniz Nachlass in Hanover. Even though Leibniz had died in , his Nachlass was cataloged only in In , Couturat published much of that work in another large volume, his Opuscules et Fragments Inedits de Leibniz, containing many of the documents he had examined while writing La Loqique.

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Louis Couturat

He taught philosophy at the universities of Toulouse and Caen but soon gave up teaching in order to devote all of his time to his own researches. In opposition to the formalist theories of number of Julius Dedekind, Leopold Kronecker , and Hermann Helmholtz, he bases number on magnitude—not on a strictly spatial intuition but on magnitude considered as the object of a "rational intuition. His reasoning consisted of offering the actual infinite as a new generalization of number, analogous to those that resulted in signed numbers, fractions, irrationals, and imaginaries. All of these numbers at first seemed to be arithmetical nonsense, but they took on meaning once they were recognized as suitable for representing new magnitudes and for allowing various operations on them that were hitherto impossible. The justification for infinite numbers is that they are indispensable for maintaining the continuity of magnitudes. After writing an essay his Latin complementary thesis on the myths of Plato, he devoted himself to Gottfried Wilhelm Leibniz , the great infinitist, whose reinterpretation he undertook independently of Bertrand Russell but at the same time and in the same sense. As indicated by the title of his book La logique de Leibniz Paris, , Couturat had at first intended simply to study the precursor of modern logistic.

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