Louis Couturat

traité de logique algorithmique

Oliver Schlaudt , Mohsen Sakhri

<p>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 understand the 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.</p>


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3-34
Introduction

Schlaudt Oliver; Sakhri Mohsen

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37-47
Définitions et notations

Schlaudt Oliver; Sakhri Mohsen

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49-61
Définitions et notations

Schlaudt Oliver; Sakhri Mohsen

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63-73
Principes

Schlaudt Oliver; Sakhri Mohsen

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75-92
Lois de la multiplication et de l'addition

Schlaudt Oliver; Sakhri Mohsen

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93-106
Lois de la négation

Schlaudt Oliver; Sakhri Mohsen

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107-120
Développement des fonctions

Schlaudt Oliver; Sakhri Mohsen

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121-143
Théorie des équations

Schlaudt Oliver; Sakhri Mohsen

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145-155
Sur les opérations inverses

Schlaudt Oliver; Sakhri Mohsen

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157-183
Théorie des inégalités

Schlaudt Oliver; Sakhri Mohsen

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185-203
Calcul des propositions Constantesa

Schlaudt Oliver; Sakhri Mohsen

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205-223
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225-240
Comparaison avec la logique classique

Schlaudt Oliver; Sakhri Mohsen

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241-260
Conclusions

Schlaudt Oliver; Sakhri Mohsen

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263-296
Variants and annotations

Schlaudt Oliver; Sakhri Mohsen

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