187297

Springer, Dordrecht

2010

317 Pages

ISBN 978-3-0346-0410-9

Louis Couturat

traité de logique algorithmique

Edited by

Oliver Schlaudt , Mohsen Sakhri

The manuscript of the Traité de Logique algorithmique resulted from lectures Couturat gave at the University of Caen in 1898/99 on recent developments in symbolic logic, on the relations of logic and mathematics, and on the scope of the methods of mathematics. It is the only one of several manuscripts Couturat mentioned in his correspondence that meanwhile has been rediscovered. It is an outstanding document of the popularization and propagation of symbolic logic around 1900. It allows to better understandthe difficult relations of algebraic logic and the so-called logistic program which surpasses the simple alternative of logic as an application of algebra vs. logic as the foundation of mathematics. The complicated interactions in the historical developments of these two currents become manifest in Couturat's hesitations and changing attitudes within his own intellectual biography. The publication of this manuscript helps to achieve a much more complete picture of the latter.

Publication details

Full citation:

Schlaudt, O. , Sakhri, M. (eds) (2010). Louis Couturat: traité de logique algorithmique, Springer, Dordrecht.

Table of Contents

Introduction

Schlaudt Oliver; Sakhri Mohsen

3-34

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Définitions et notations

Schlaudt Oliver; Sakhri Mohsen

37-47

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Définitions et notations

Schlaudt Oliver; Sakhri Mohsen

49-61

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Principes

Schlaudt Oliver; Sakhri Mohsen

63-73

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Lois de la multiplication et de l'addition

Schlaudt Oliver; Sakhri Mohsen

75-92

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Lois de la négation

Schlaudt Oliver; Sakhri Mohsen

93-106

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Développement des fonctions

Schlaudt Oliver; Sakhri Mohsen

107-120

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Théorie des équations

Schlaudt Oliver; Sakhri Mohsen

121-143

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Sur les opérations inverses

Schlaudt Oliver; Sakhri Mohsen

145-155

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Théorie des inégalités

Schlaudt Oliver; Sakhri Mohsen

157-183

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Calcul des propositions Constantesa

Schlaudt Oliver; Sakhri Mohsen

185-203

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Calcul des jugements variables (ou des probabilités) 1

Schlaudt Oliver; Sakhri Mohsen

205-223

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Comparaison avec la logique classique

Schlaudt Oliver; Sakhri Mohsen

225-240

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Conclusions

Schlaudt Oliver; Sakhri Mohsen

241-260

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Variants and annotations

Schlaudt Oliver; Sakhri Mohsen

263-296

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