The Evolution of Logic
1st Edition
Published on 2. September 2010
978-0-511-78476-7 (ISBN)
Description
Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.
Reviews / Votes
'The aim of the author is to make these achievements more accessible to philosophers and in this way to make available for them the tools necessary to renew the dialogue between logic and philosophy.' Mathematical ReviewsMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
College/higher education
Illustrations
Worked examples or Exercises; 4 Line drawings, unspecified
File size
1,32 MB
ISBN-13
978-0-511-78476-7 (9780511784767)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
W. D. Hart
The Evolution of Logic
Book
08/2010
Cambridge University Press
€115.50
Shipment within 15-20 days
W. D. Hart
The Evolution of Logic
Book
08/2010
Cambridge University Press
€43.60
Shipment within 15-20 days
Person
W. D. Hart is currently a Professor of Philosophy at the University of Illinois at Chicago, where he chaired the Philosophy department for 12 years. He has also taught at the University of Michigan, University College London, and the University of New Mexico. He is the author of The Engines of the Soul, now available in paperback (Cambridge University Press, 2009), and the editor of The Philosophy of Mathematics, and has published more than seventy articles and reviews in academic journals.
Content
1. Cantor's paradise; 2. Die urwahrheiten; 3. Expeditions: which sets exist?; 4. The universe and everything; 5. Truth eludes proof; 6. Accommodating Cantor; 7. Or not; 8. The critique of pure reason; 9. The ways of the world; 10. The zoology of reality.
