Lakatos and the Euclidean Programme

Paseau, A. C. and Wrigley, Wesley ORCID: 0000-0002-7301-0547 (2025) Lakatos and the Euclidean Programme. In: Frigg, Roman, Alexander, J. McKenzie, Hudetz, Laurenz, Rédei, Miklos, Ross, Lewis and Worrall, John, (eds.) Proofs and Research Programmes: Lakatos at 100. Synthese Library. Springer Nature, 47 - 67. ISBN 9783031882128

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Abstract

Euclid’s Elements inspired a number of foundationalist accounts of mathematics, which dominated the epistemology of the discipline for many centuries in the West. Yet surprisingly little has been written by recent philosophers about this conception of mathematical knowledge. The great exception is Imre Lakatos, whose characterisation of the Euclidean Programme in the philosophy of mathematics counts as one of his central contributions. In this essay, we examine Lakatos’s account of the Euclidean Programme with a critical eye, and suggest an alternative picture that builds on his while differing from it in a number of important ways.

Item Type:	Book Section
Additional Information:	© 2025 The Author(s)
Divisions:	Philosophy, Logic and Scientific Method
Subjects:	B Philosophy. Psychology. Religion > B Philosophy (General) Q Science > Q Science (General)
Date Deposited:	21 Jul 2025 11:45
Last Modified:	25 Jul 2025 16:03
URI:	http://eprints.lse.ac.uk/id/eprint/128895

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