**Hardcover**| Out of Print | ISBN: 9780262013178 | 448 pp. | 7 x 9 in | 96 b&w illus., 9 tables | September 2009

**Paperback**|

**$25.00 Short**|

**£18.95**| ISBN: 9780262516488 | 448 pp. | 7 x 9 in | 96 b&w illus., 9 tables | August 2011

**eBook**|

**$18.00 Short**| ISBN: 9780262259675 | 448 pp. | 96 b&w illus., 9 tables | August 2011

## Look Inside

## Isaac Newton on Mathematical Certainty and Method

## Overview

Historians of mathematics have devoted considerable attention to Isaac Newton’s work on algebra, series, fluxions, quadratures, and geometry. In *Isaac Newton on Mathematical Certainty and Method*, Niccolò Guicciardini examines a critical aspect of Newton’s work that has not been tightly connected to Newton’s actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work *The Mathematical Principles of Natural Philosophy* most probably to highlight a stark contrast to Descartes’s Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton’s own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton’s works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton’s understanding of method and his mathematical work then reveal themselves through Guicciardini’s careful analysis of selected examples. *Isaac Newton on Mathematical Certainty and Method* uncovers what mathematics was for Newton, and what being a mathematician meant to him.

## About the Author

Niccolò Guicciardini is Professor of the History of Science at the University of Bergamo, Italy. He is the author of *The Development of Newtonian Calculus in Britain, 1700-1800* and *Reading the Principia: The Debate on Newton’s Mathematical Methods for Natural Philosophy from 1687 to 1736.* He is the recipient of the Sarton Medal for 2011-12 awarded by the University of Ghent, Belgium.

## Reviews

**Katherine Dunlop**, The Journal of the International Society for the History of Philosophy of Science

**U. D’Ambrosio**,

*Mathematical Reviews*

**Paolo Mancosu**, American Scientist

## Endorsements

—

**Craig Fraser**, Institute for the History and Philosophy of Science and Technology, University of Toronto

## Awards

2011 Fernando Gil International Prize for the Philosophy of Science, presented by the Portuguese Foundation for Science and Technology and the Calouste Gulbenkian Foundation (http://fernando-gil.org.pt/en/nominees/2011/winner/), 2011