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The Euclidean Programme (Elements in the Philosophy of Mathematics) free ebook download

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Author(s):	A. C. Paseau

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	1009494406
Pages:	75	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	2/5/2024 11:48:27 PM

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1009494406 pdf
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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The Euclidean Programme (Elements in the Philosophy of Mathematics) free ebook download

Category: Sociology

Description: Click to see full description

Category:
Sociology