The Significant Other. The interactive shaping of the disciplinary identities of philosophy and mathematics through history
The Significant Other. The interactive shaping of the disciplinary identities of philosophy and mathematics through history

Summary/Abstract: Since the publication of Kuhn’s groundbreaking Structure of Scientific Revolutions (1962), a revolution of incomparable magnitude has shaken the historiography of science. On the other hand, it was manifest that no such revolution in the historiography of mathematics was to be expected. Even some of the most progressive historians of mathematics were certain that Kuhn’s approach could not be transferred to the history of the revered “queen of the sciences”, since “revolutions never occur in mathematics”. The apparently cumulative development of mathematics seemed inextricably bound with its deductive character and the cumulativist dogma became explicit already in the 19th century, when the first truly scientific works in the field of the history of mathematics appeared. The subsequent selection of its different formulations makes manifest the virtual unanimity about the trans-historical character of mathematical knowledge that reigned across Europe…

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