The Algebra of Logic (Classic Reprint) - Couverture souple

Louis Couturat

Couverture souple

ISBN 10 : 1330433491 ISBN 13 : 9781330433492

Editeur : Forgotten Books, 2018

Synopsis

Excerpt from The Algebra of Logic

The primary significance of a symbolic calculus seems to lie in the economy of mental effort which it brings about, and to this is due the characteristic power and rapid development of mathematical knowledge. Attempts to treat the operations of formal logic in an analogous way had been made not in frequently by some of the more philosophical mathematicians, such as leibniz and lambert; but their labors remained little known, and it was boole and DE morgan, about the middle of the nineteenth century, to whom a mathematical - though of course non-quantitative - way of regarding logic was due. By this, not only was the traditional or Aristotelian doctrine of logic reformed and completed, but out of it has developed, in course of time, an instrument which deals in a sure manner with the task of investigating the fundamental concepts of mathematics - a task which philosophers have repeatedly taken in hand, and in which they have as repeatedly failed.

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A propos du livre

Présentation de l'éditeur

THIS is an excellent translation of M. Couturat’s well-known “Algébre de la Logique.” The conciseness and modernity of M. Couturat’s book is very apparent when we compare it with the first two volumes of Schroder's bulky, prolix, and somewhat antiquated work. The book under review is, as is remarked in the preface, an exposition of the beautiful and simple calculus of symbolic logic, regarded as a branch of universal algebra.

Leibnitz distinguished the two most important aspects of a symbolic language designed for purposes of reasoning, under the names calculus ratiocinator and characteristica universalis: the latter indicates broadly the route taken by Frege, Peano, Russell, and Whitehead; the former the route taken by Boole, Jevons, Venn, Schröder, and others, and is that described in the present work. Between these two routes, the “logic of relations” lies, and this is not dealt with here; but we are given a complete presentation of the important modern work of Whitehead (1898, 1901). Johnson (1901), Poretzsky (1899-1904), and Huntington (1904) on the logic of classes and propositions.

Miss Robinson has added several valuable notes to her translation. The volume is neat and handy, and is an important addition to our English mathematical literature.

— Nature, Volume 93

Présentation de l'éditeur

This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide. This text refers to the Bibliobazaar edition.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1330433491
• ISBN 13: 9781330433492
• Reliure: Broché
• Nombre de pages: 116
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