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The Element begins by claiming that Imre Lakatos (1922-74) in his famous paper 'Proofs and Refutations' (1963-64) was the first to introduce the historical approach to philosophy of mathematics. Section 2 gives a detailed analysis of Lakatos' ideas on the philosophy of mathematics. Lakatos died at the age of only 51, and at the time of this death had plans to continue his work on philosophy of mathematics which were never carried out. However, Lakatos' historical approach to philosophy of mathematics was taken up by other researchers in the field, and Sections 3 and 4 of the Element give an account of how they developed this approach. Then Section 5 gives an overview of what has been achieved so far by the historical approach to philosophy of mathematics and considers what its prospects for the future might be.

Mathematics --- Philosophy. --- Lakatos, Imre,

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Lakatos: An Introduction provides a thorough overview of both Lakatos's thought and his place in twentieth century philosophy. It is an essential and insightful read for students and anyone interested in the philosophy of science.

Mathematics --- Science --- Philosophy. --- Philosophy --- Lakatos, Imre, - 1922-1974 --- Lakatos, Imre.

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L'ouvrage invite à penser l'épistémologie non classique des mathématiques comme une construction épistémique des mathématiques quasi empirique qu'Imré Lakatos a réalisé au moyen des présupposés ontologiques (comme la redécouverte du temps, le passage du déterminisme à l'indéterminisme, etc.) et qu'il réussit grâce à l'implémentation du principe de complexité dialectique de l'esprit mathématique. L'auteur étudie la thèse selon laquelle, depuis le début du XXe siècle, la science est aussi bien objective que subjective. Et c'est à partir de celle-ci que le principe de la complexité dialectique de l'esprit mathématique est mis au jour pour dévoiler le constructivisme de Lakatos.

Mathematics --- Knowledge, Theory of --- Lakatos, Imre, - 1922-1974

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Mathematics --- Lakatos, Imre --- -Mathematics --- -Math --- Science --- History --- Philosophy --- History. --- Philosophy. --- -History --- Math --- Logic of mathematics --- Mathematics, Logic of --- Lakatos, Imre.

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Lakatos: An Introduction provides a thorough overview of both Lakatos's thought and his place in twentieth century philosophy. It is an essential and insightful read for students and anyone interested in the philosophy of science.

Science --- Mathematics --- Logic of mathematics --- Mathematics, Logic of --- Normal science --- Philosophy of science --- Philosophy. --- Lakatos, Imre. --- Lakatos, Imre,