Abstraction and Infinity

Abstraction and Infinity

by Paolo Mancosu


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Product Details

ISBN-13: 9780198746829
Publisher: Oxford University Press
Publication date: 02/15/2017
Pages: 240
Product dimensions: 5.90(w) x 9.30(h) x 0.80(d)

About the Author

Paolo Mancosu, Department of Philosophy, UC Berkeley

Paolo Mancosu is Willis S. and Marion Slusser Professor of Philosophy at the University of California at Berkeley. He is the author of numerous articles and books in logic and philosophy of mathematics. He is also the author of Inside the Zhivago Storm: The editorial adventures of Pasternak's masterpiece (Feltrinelli, Milan, 2013). During his career he has taught at Stanford, Oxford, and Yale. He has been a fellow of the Humboldt Stiftung, the Wissenschaftskolleg zu Berlin, the Institute for Advanced Study in Princeton, and the Institut d'Etudes Avancees in Paris. He has received grants from the Guggenheim Foundation, the NSF, and the CNRS.

Table of Contents

1. The mathematical practice of definitions by abstraction from Euclid to Frege (and beyond)
2. The logical and philosophical reflection on definitions by abstraction: From Frege to the Peano school and Russell
3. Measuring the size of infinite collections of natural numbers: Was Cantor's theory of infinite number inevitable?
4. In good company? On Hume's Principle and the assignment of numbers to infinite concepts

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