Aristotle's Modal Proofs Prior Analytics A8-22 in Predicate Logic
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 m
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The New Synthese Historical Library Texts and Studies in the History of Philosophy VOLUME 68
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Adriane Rini
Aristotle’s Modal Proofs Prior Analytics A8 – 22 in Predicate Logic
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Dr. Adriane Rini Massey University Philosophy - HPC Private Bag 11-222 Palmerston North New Zealand [email protected]
ISBN 978-94-007-0049-9 e-ISBN 978-94-007-0050-5 DOI 10.1007/978-94-007-0050-5 Springer Dordrecht Heidelberg London New York c Springer Science+Business Media B.V. 2011 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
ARISTOTLE’S MODAL PROOFS Prior Analytics A8 – 22 in Predicate Logic Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Part I:
Modern Methods for Ancient Logic Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5
Part II:
11 21 32 39 45
Necessity in the Syllogistic: An. Pr. A8 –12 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10
Part III:
The Non-Modal Syllogistic: An. Pr. A1 – 7 . . . . . The Assertoric Syllogistic in LPC . . . . . . . . . . . . A Realm of Darkness . . . . . . . . . . . . . . . . . . . . . Technicolour Terms . . . . . . . . . . . . . . . . . . . . . . Representing the Modals . . . . . . . . . . . . . . . . . .
Syllogizing in Red: Trivializing the Modals . . . . 63 First Figure Mixed Apodeictic Syllogisms . . . . . 72 Modal Conversion in the Apodeictic Syllogistic . 79 Against the Canonical Listings . . . . . . . . . . . . . . 95 Apodeictic Possibility . . . . . . . . . . . . . . . . . . . . 106
Contingency in the Syllogistic: An. Pr. A13 – 22 Chapter 11 Chapte
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