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Proofs and Refutations: The Logic of Mathematical Discovery

Cambridge and London: Cambridge University Press (1976)

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  1. The ‘Popperian Programme’ and mathematics.Eduard Glas - 2001 - Studies in History and Philosophy of Science Part A 32 (2):355-376.
    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 (...)
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  • Bill Wimsatt on Multiple Ways of Getting at the Complexity of Nature.William Bechtel, Werner Callebaut, James R. Griesemer & Jeffrey C. Schank - 2006 - Biological Theory 1 (2):213-219.
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  • The (Mis)Information Society: An Analysis of the Role of Propaganda in Shaping Consciousness.Dennis Rohatyn - 1990 - Bulletin of Science, Technology and Society 10 (2):77-85.
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  • Representational innovation and mathematical ontology.Madeline M. Muntersbjorn - 2003 - Synthese 134 (1-2):159 - 180.
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  • Mathematizing as a virtuous practice: different narratives and their consequences for mathematics education and society.Deborah Kant & Deniz Sarikaya - 2020 - Synthese 199 (1-2):3405-3429.
    There are different narratives on mathematics as part of our world, some of which are more appropriate than others. Such narratives might be of the form ‘Mathematics is useful’, ‘Mathematics is beautiful’, or ‘Mathematicians aim at theorem-credit’. These narratives play a crucial role in mathematics education and in society as they are influencing people’s willingness to engage with the subject or the way they interpret mathematical results in relation to real-world questions; the latter yielding important normative considerations. Our strategy is (...)
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