David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Oxford University Press (1996)
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.
|Categories||categorize this paper)|
|Buy the book||$18.70 used (73% off) $21.79 new (68% off) $67.00 direct from Amazon Amazon page|
|Call number||QA8.4.M36 1996|
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.
Citations of this work BETA
Willem R. de Jong & Arianna Betti (2010). The Classical Model of Science: A Millennia-Old Model of Scientific Rationality. Synthese 174 (2):185-203.
Mikhail G. Katz & David Sherry (2013). Leibniz's Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes From Berkeley to Russell and Beyond. [REVIEW] Erkenntnis 78 (3):571-625.
Piotr Błaszczyk, Mikhail G. Katz & David Sherry (2013). Ten Misconceptions From the History of Analysis and Their Debunking. Foundations of Science 18 (1):43-74.
Paolo Mancosu (2009). Measuring the Size of Infinite Collections of Natural Numbers: Was Cantor's Theory of Infinite Number Inevitable? Review of Symbolic Logic 2 (4):612-646.
Jeremy Avigad, Edward Dean & John Mumma (2009). A Formal System for Euclid's Elements. Review of Symbolic Logic 2 (4):700--768.
Similar books and articles
I. Grattan-Guinness (ed.) (1994). Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. Routledge.
Philip J. Davis (1986). Descartes' Dream: The World According to Mathematics. Dover Publications.
Volker Peckhaus (1997). The Way of Logic Into Mathematics. Theoria 12 (1):39-64.
Craig Fraser (1999). Book Review: Paolo Mancuso. Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century. [REVIEW] Notre Dame Journal of Formal Logic 40 (3):447-454.
T. Koetsier (1991). Lakatos' Philosophy of Mathematics: A Historical Approach. Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
David Bostock (1997). Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century. International Philosophical Quarterly 37 (3):353-354.
Paolo Mancosu (1992). Aristotelian Logic and Euclidean Mathematics: Seventeenth-Century Developments of the Quaestio de Certitudine Mathematicarum. Studies in History and Philosophy of Science Part A 23 (2):241-265.
Paolo Mancosu (1991). On the Status of Proofs by Contradiction in the Seventeenth Century. Synthese 88 (1):15 - 41.
Added to index2009-01-28
Total downloads54 ( #82,895 of 1,934,805 )
Recent downloads (6 months)3 ( #196,346 of 1,934,805 )
How can I increase my downloads?