“The Philosophers and the Machine”: Philosophy of Mathematics and History of Science in Alexandre Koyré

Chapter

Abstract

This study examines the influence of Koyré’s philosophy of mathematics on his later history of science. This chapter focuses on a topic that has been almost unexamined by Koyré’s commentators, his first papers on the foundations of mathematics (which present his criticism of Bertrand Russell’s paradox), to establish a link between Koyré’s mathematical realism – present in his preoccupation with the foundations of mathematics – and his later history of science. Based on this link, I reassess an old controversy: “the philosophers and the machine”, as it is called by Koyré, or the problem of theoria versus praxis. Finally, I attempt to understand the extent to which Koyré’s internalism, which originates in this controversy, continues to raise important issues, such as the autonomy of science, in the face of sociological interpretations of science.

Keywords

Koyré Philosophy of mathematics History of science Internalism Theoria Praxis 

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of HistoryFederal University of Minas Gerais – UFMGBelo HorizonteBrazil

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