Abstraction and Infinity

2017.08.15 : View this Review Online | View Recent NDPR Reviews Paolo Mancosu, Abstraction and Infinity, Oxford University Press, 2016, viii + 222pp., $70.00 (hbk), ISBN 9780198724629.  
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2017.08.15 : View this Review Online | View Recent NDPR Reviews Paolo Mancosu, Abstraction and Infinity, Oxford University Press, 2016, viii + 222pp., $70.00 (hbk), ISBN 9780198724629.   Reviewed by Philip A. Ebert, University of Stirling This is a very rich and rewarding book. It provides not merely a much-needed, detailed account of the history of so called definitions by abstraction or abstraction principles, but also advances the current philosophical debate about the foundational status of such principles. These themes are presented in a beautifully clear prose which makes this book, quite simply, a joy to read -- not something that is easily accomplished by a book in the history and philosophy of mathematics.   The book is divided into four chapters. The first two focus on the history of mathematical practice with regards to definitions by abstraction. The third chapter offers a short history of the notion of... Read More

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