Aristotle's Modal Proofs

Prior Analytics A8-22 in Predicate Logic

  • Adriane Rini

Part of the The New Synthese Historical Library book series (SYNL, volume 68)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Modern Methods for Ancient Logic

    1. Front Matter
      Pages 9-9
    2. Adriane Rini
      Pages 11-20
    3. Adriane Rini
      Pages 21-31
    4. Adriane Rini
      Pages 32-38
    5. Adriane Rini
      Pages 39-44
    6. Adriane Rini
      Pages 45-60
  3. Necessity in the Syllogistic: An. Pr. A8–12

    1. Front Matter
      Pages 61-61
    2. Adriane Rini
      Pages 72-78
    3. Adriane Rini
      Pages 95-105
    4. Adriane Rini
      Pages 106-115
  4. Contingency in the Syllogistic: An. Pr. A13–22

    1. Front Matter
      Pages 117-117
    2. Adriane Rini
      Pages 119-134
    3. Adriane Rini
      Pages 135-145
    4. Adriane Rini
      Pages 146-156
    5. Adriane Rini
      Pages 157-168
    6. Adriane Rini
      Pages 169-179
    7. Adriane Rini
      Pages 180-193

About this book

Introduction

Aristotle’s modal syllogistic is his study of patterns of reasoning about necessity and possibility. Many scholars think the modal syllogistic is incoherent, a ‘realm of darkness’. Others think it is coherent, but devise complicated formal modellings to mimic Aristotle’s results. This volume provides a simple interpretation of Aristotle’s modal syllogistic using standard predicate logic. Rini distinguishes between red terms, such as ‘horse’, ‘plant’ or ‘man’, which name things in virtue of features those things must have, and green terms, such as ‘moving’, which name things in virtue of their non-necessary features. By applying this distinction to the Prior Analytics, Rini shows how traditional interpretive puzzles about the modal syllogistic melt away and the simple structure of Aristotle’s own proofs is revealed. The result is an applied logic which provides needed links between Aristotle’s views of science and logical demonstration. The volume is particularly valuable to researchers and students of the history of logic, Aristotle’s theory of modality, and the philosophy of logic in general.

Keywords

Ancient logic Aristotle Modal syllogistic Predicate logic Prior Analytics

Authors and affiliations

  • Adriane Rini
    • 1
  1. 1., Department of Philosophy - HPCMassey UniversityPalmerston NorthNew Zealand

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-0050-5
  • Copyright Information Springer Science+Business Media B.V. 2011
  • Publisher Name Springer, Dordrecht
  • eBook Packages Humanities, Social Sciences and Law
  • Print ISBN 978-94-007-0049-9
  • Online ISBN 978-94-007-0050-5
  • About this book