Louis Couturat -Traité de Logique algorithmique

✍ Scribed by Dr. Oliver Schlaudt, Dr. Mohsen Sakhri (auth.), Oliver Schlaudt, Mohsen Sakhri (eds.)

• Publisher: Birkhäuser Basel
• Year: 2010
• Leaves: 326
• Series: Publications des Archives Henri Poincaré Publications of the Henri Poincaré Archives
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-viii
Front Matter....Pages 1-1
Introduction....Pages 3-34
Front Matter....Pages 35-35
Définitions et notations : A. Logique des concepts....Pages 37-47
Définitions et notations : B. Logique des propositions....Pages 49-61
Principes....Pages 63-73
Lois de la multiplication et de l’addition....Pages 75-92
Lois de la négation a ....Pages 93-106
Développement des fonctions....Pages 107-120
Théorie des équations....Pages 121-143
Sur les opérations inverses : Soustraction et division....Pages 145-155
Théorie des inégalités....Pages 157-183
Calcul des propositions constantes a ....Pages 185-203
Calcul des jugements variables (ou des probabilités) 1 ....Pages 205-223
Comparaison avec la Logique classique 1 ....Pages 225-240
Conclusions....Pages 241-260
Front Matter....Pages 261-261
Variants and Annotations....Pages 263-296
Back Matter....Pages 297-317

✦ Subjects

History of Mathematics