Abstract
Abstract The revolution has begun! The concluding words in my 1975 paper, which appears as Chapter 1 of this volume, were that whether or not revolutions happen in mathematics, revolutions can ‘occur in mathematical nomenclature, symbolism, metamathematics (e.g. the metaphysics of mathematics), methodology (e.g. standards of rigour), and perhaps even in the historiography of mathematics’. No more compelling evidence that a revolution in the historiography of mathematics is under way could be found than the essays that Donald Gilles has collected for inclusion in this volume. Written by a distinguished group of historians and philosophers from a variety of countries, these papers collectively demonstrate that new and sophisticated approaches to the history of mathematics are being employed with success. Never before has this claim seemed so justified.
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