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Rational Consensus in Science and Society

A Philosophical and Mathematical Study

  • Book
  • © 1981

Overview

Authors:
  1. Keith Lehrer

    1. Dept. of Philosophy, The University of Arizona, Tucson, USA

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  2. Carl Wagner

    1. Mathematics Dept., The University of Tennessee, Knoxville, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Philosophical Studies Series (PSSP, volume 24)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-ix
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  2. A Philosophical Theory of Rational Consensus

    1. Front Matter

      Pages 1-1
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    2. Consensus and Philosophical Issues

      • Keith Lehrer, Carl Wagner
      Pages 3-18

    3. The Elementary Method and Consensual Probability

      • Keith Lehrer, Carl Wagner
      Pages 19-37

    4. The Elementary Method and Social Choice

      • Keith Lehrer, Carl Wagner
      Pages 38-52

    5. The Extended Model

      • Keith Lehrer, Carl Wagner
      Pages 53-72

    6. Applications of the Consensus Model

      • Keith Lehrer, Carl Wagner
      Pages 73-103

  3. The Formal Foundations of Rational Consensus

    1. Front Matter

      Pages 105-105
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    2. Allocation and Ordering by Weighted Arithmetic Averaging — An Axiomatic Approach

      • Keith Lehrer, Carl Wagner
      Pages 107-124

    3. Convergence to Consensus — The Elementary Model

      • Keith Lehrer, Carl Wagner
      Pages 125-141

    4. Convergence to Consensus — The Extended Model

      • Keith Lehrer, Carl Wagner
      Pages 142-153

  4. Back Matter

    Pages 154-165
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Keywords

About this book

TItis book is the joint project of a philosopher, Lehrer, and a mathematician, Wagner. The book is, therefore, divided into a first part written by Lehrer, which is primarily philosophical, and a second part written by Wagner that is primarily formal. The authors were, however, influenced by each other throughout. Our book articulates a theory of rational consensus in science and society. The theory is applied to politics, ethics, science, and language. We begin our exposition with an elementary mathematical model of consensus developed by Lehrer in a series of articles [1976a, 1976b, 1977, 1978]. Chapter 3 contains material from [1978]. Lehrer formulated the elementary model when he was a Fellow of the Center for Advanced Study in the Be­ havioral Sciences, Stanford, in 1973 with the invaluable mathematical assist­ of Kit Fine, Gerald Kramer and Lionel McKenzie. In the summer of ance 1977, Lehrer and Wagner met at the Center in a Summer Seminar on Freedom and Causality supported by the Andrew W. Mellon Foundation. Wagner read the manuscript of Lehrer [1978] and subsequently solved some mathematical problems of the elementary model. After discussions of philosophical prob­ lems associated with that model, Wagner developed the foundations for the extended model. These results were reported in Wagner [1978, 1981a].

Authors and Affiliations

  • Dept. of Philosophy, The University of Arizona, Tucson, USA

    Keith Lehrer

  • Mathematics Dept., The University of Tennessee, Knoxville, USA

    Carl Wagner

Bibliographic Information

  • Book Title: Rational Consensus in Science and Society

  • Book Subtitle: A Philosophical and Mathematical Study

  • Authors: Keith Lehrer, Carl Wagner

  • Series Title: Philosophical Studies Series

  • DOI: https://doi.org/10.1007/978-94-009-8520-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1981

  • Hardcover ISBN: 978-90-277-1306-3Published: 31 October 1981

  • Softcover ISBN: 978-90-277-1307-0Published: 31 October 1981

  • eBook ISBN: 978-94-009-8520-9Published: 06 December 2012

  • Series ISSN: 0921-8599

  • Series E-ISSN: 2542-8349

  • Edition Number: 1

  • Number of Pages: IX, 165

  • Topics: Modern Philosophy

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