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The Euclidean Programme (Elements in the Philosophy of Mathematics) - Softcover

 
9781009221986: The Euclidean Programme (Elements in the Philosophy of Mathematics)
  • PublisherCambridge University Press
  • Publication date2024
  • ISBN 10 1009221981
  • ISBN 13 9781009221986
  • BindingPaperback
  • LanguageEnglish
  • Number of pages82

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9781009494403: The Euclidean Programme (Elements in the Philosophy of Mathematics)

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Paperback. Condition: new. Paperback. The 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. This Element shows that Euclidean Programme (EP) embodies a traditional sort of epistemological foundationalism about mathematics. This Element is devoted to an examination of the EP. The authors propose a rational reconstruction of the EP's key principles, superior to the axiomatic method. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781009221986

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