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OverviewThe Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge – especially mathematical knowledge – is obtained by deduction from self-evident axioms or first principles. Epistemologists have examined foundationalism extensively, but neglected its historically dominant Euclidean form. By contrast, this book offers a detailed examination of Euclidean foundationalism, which, following Lakatos, the authors call the Euclidean Programme. The book rationally reconstructs the programme's key principles, showing it to be an epistemological interpretation of the axiomatic method. It then compares the reconstructed programme with select historical sources: Euclid's Elements, Aristotle's Posterior Analytics, Descartes's Discourse on Method, Pascal's On the Geometric Mind and a twentieth-century account of axiomatisation. The second half of the book philosophically assesses the programme, exploring whether various areas of contemporary mathematics conform to it. The book concludes by outlining a replacement for the Euclidean Programme. Full Product DetailsAuthor: A. C. Paseau (University of Oxford) , Wesley Wrigley (LSE - Philosophy, Logic and Scientific Method)Publisher: Cambridge University Press Imprint: Cambridge University Press Weight: 0.255kg ISBN: 9781009494403ISBN 10: 1009494406 Pages: 82 Publication Date: 22 February 2024 Audience: General/trade , General Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. Introduction; 2. The Euclidean programme; 3. Before the EP: Euclid; 4. Before the EP: Aristotle; 5. The EP's 17th-century apogee; 6. Descriptive Axiomatisation and the EP; 7. The EP assessed: core principles; 8. The EP assessed: subsidiary principles; 9. What should replace the EP?; 10. Summary; References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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