The 'popperian programme' and mathematics - part II: From quasi-empiricism to mathematical research programmes
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Studies in History and Philosophy of Science Part A 32 (2):355-376 (2001)
In the first part of this article I investigated the Popperian roots of Lakatos's Proofs and Refutations, which was an attempt to apply, and thereby to test, Popper's theory of knowledge in a field-mathematics-to which it had not primarily been intended to apply. While Popper's theory of knowledge stood up gloriously to this test, the new application gave rise to new insights into the heuristic of mathematical development, which necessitated further clarification and improvement of some Popperian methodological maxims. In the present part I analyze this second phase in the development of Lakatos's Popperian programme in mathematics, and its connection to the methodology of scientific research programmes.
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Deszo Gurka (2006). A Missing Link: The Infuence of László Kalmár's Empirical View on Lakatos' Philosophy of Mathematics. Perspectives on Science 14 (3):263-281.
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