The New Synthese Historical Library

Aristotle's Modal Proofs

Prior Analytics A8-22 in Predicate Logic

Authors: Rini, Adriane

  • Makes Aristotle’s system of modal syllogistic logic easily accessible to logicians and other logic savvy readers
  • Uses standard predicate logic translations with (exclusively) de re modality to represent Aristotle's Greek
  • Contains a line-by-line discussion of every modal syllogism in the Prior Analytics
  • Distinguishes between two kinds of syllogistic terms to simplify Aristotle's modal logic
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eBook $159.00
price for USA (gross)
  • ISBN 978-94-007-0050-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-94-007-0049-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-94-007-3467-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

Adriane Rini received an A.B. in philosophy at Smith College, and a Ph.D. at the University of Massachusetts-Amherst. She is the author of numerous articles on the history of modal logic. In 2003, she was awarded a Marsden Grant from the Royal Society of New Zealand for her research on Aristotle’s logic. Subsequently, she has been working on a book, together with M.J. Cresswell, about the world-time parallel. In 2010, Rini is working on a project on the development of Quine’s attitude to modal logic, for which she has been awarded a four month fellowship from the Royal Flemish Academy of Belgium for Science and the Arts. Rini has taught at the University of Massachusetts-Amherst, the University of California-Davis, Texas A&M University, Victoria University Wellington, and at Massey University, where she is currently a senior lecturer in philosophy.

Table of contents (18 chapters)

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-94-007-0050-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-94-007-0049-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-94-007-3467-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Aristotle's Modal Proofs
Book Subtitle
Prior Analytics A8-22 in Predicate Logic
Authors
Series Title
The New Synthese Historical Library
Series Volume
68
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-0050-5
DOI
10.1007/978-94-007-0050-5
Hardcover ISBN
978-94-007-0049-9
Softcover ISBN
978-94-007-3467-8
Series ISSN
1879-8578
Edition Number
1
Number of Pages
VI, 246
Topics