Oxford University Press (1996)

Authors
Paolo Mancosu
University of California, Berkeley
Abstract
The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmatic of infinites, and calculus were developed. Although many technical studies have been devoted to these innovations, Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting with the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques, including the influence of the Aristotelian conception of science in Cavalieri and Guldin, the foundational relevance of Descartes' Geometrie, the relation between geometrical and epistemological theories of the infinite, and the Leibnizian calculus and the opposition to infinitesimalist procedures. In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics.
Keywords Mathematics History
Categories (categorize this paper)
Reprint years 1998, 1999
Buy this book $15.90 used (80% off)   $25.00 new (69% off)   Amazon page
Call number QA8.4.M36 1996
ISBN(s) 0195132440   9780195132441   9780195084634   0195084632
DOI 10.2307/2998330
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,319
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Against Pointillisme About Mechanics.Jeremy Butterfield - 2006 - British Journal for the Philosophy of Science 57 (4):709-753.
A Formal System for Euclid’s Elements.Jeremy Avigad, Edward Dean & John Mumma - 2009 - Review of Symbolic Logic 2 (4):700--768.

View all 69 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
118 ( #90,598 of 2,448,667 )

Recent downloads (6 months)
5 ( #142,635 of 2,448,667 )

How can I increase my downloads?

Downloads

My notes