- 82 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
The Euclidean Programme
About this book
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.
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Information
Topic
PhilosophySubtopic
Philosophy & Ethics in ScienceTable of contents
- Cover
- Title page
- Copyright page
- The Euclidean Programme
- References
- Acknowledgements
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Yes, you can access The Euclidean Programme by A. C. Paseau,Wesley Wrigley in PDF and/or ePUB format, as well as other popular books in Philosophy & Philosophy & Ethics in Science. We have over one million books available in our catalogue for you to explore.