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9780262151139

The Old New Logic

by ;
  • ISBN13:

    9780262151139

  • ISBN10:

    0262151138

  • Format: Hardcover
  • Copyright: 2005-06-01
  • Publisher: Bradford Books

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Summary

Over the course of a career that has spanned more than fifty years, the philosopher Fred Sommers has taken on the monumental task of reviving the development of Aristotelian (syllogistic) logic after it was supplanted by the predicate logic of Gottlob Frege and Bertrand Russell. The enormousness of Sommers's undertaking can be gauged by the fact that most philosophers had come to believe-as David S. Oderberg writes in his preface-that "Aristotelian logic was good but is now as good as dead." A revival of traditional syllogistic logic would involve not only its restatement but its refashioning into a system that could rival the elegance and deductive power of predicate logic. Building on work by medieval scholastic logicians, Leibniz, and nineteenth-century algebraic logicians, Sommers accomplished this renovation and rehabilitation of syllogistic logic with his magnum opus The Logic of Natural Language, published in 1982. In The Old New Logic, essays by a diverse group of contributors show how widely influential Sommers's work has been-not only in logic, but in category theory and other areas. Scholars in psychology, linguistics, and computer science join philosophers and logicians in discussing aspects of Sommers's contributions to philosophy. Sommers himself provides an intellectual autobiography at the beginning and in the final chapter offers comments on the contributions. This collection should help bring to Sommers's work the attention it deserves from the wider philosophical and intellectual community.

Table of Contents

Preface and Acknowledgmentsp. vii
Forwardp. xi
Intellectual Autobiographyp. 1
Trees, Terms, and Truth: The Philosophy of Fred Sommersp. 25
Syntax and Ontology: Reflections on Three Logical Systemsp. 49
Exploring Boundary Conditions on the Structure of Knowledge: Some Nonobvious Influences of Philosophy on Psychologyp. 67
General Terms, Anaphora, and Rigid Designationp. 85
The Syntax and Semantics of English Prepositional Phrasesp. 101
Modeling Anaphora in TFLp. 111
An Elementary Term Logic for Physically Realizable Models of Informationp. 135
Sommer's Cancellation Technique and the Method of Resolutionp. 169
Predicate Logic and Bare Particularsp. 183
Comments and Repliesp. 211
Worksp. 233
Contributorsp. 237
Indexp. 239
Table of Contents provided by Publisher. All Rights Reserved.

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