David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophical Review 107 (1):146-148 (1998)
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, arithmetic 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||No keywords specified (fix it)|
|Categories||categorize this paper)|
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
No citations found.
Similar books and articles
Paolo Mancosu (1996). Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century. Oxford University Press.
David Bostock (1997). Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century. International Philosophical Quarterly 37 (3):353-354.
Douglas M. Jesseph (1989). Philosophical Theory and Mathematical Practice in the Seventeenth Century. Studies in History and Philosophy of Science Part A 20 (2):215-244.
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.
D. Gillies (1998). Paolo Mancosu. Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century. New York, Oxford: Oxford University Press, 1996. Pp. X + 275. ISBN 0-19-508463-2. [REVIEW] Philosophia Mathematica 6 (2):231-235.
Lisa Shabel (2003). Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice. Routledge.
Paolo Mancosu (1991). On the Status of Proofs by Contradiction in the Seventeenth Century. Synthese 88 (1):15 - 41.
Jessica Carter (2008). Structuralism as a Philosophy of Mathematical Practice. Synthese 163 (2):119 - 131.
T. Koetsier (1991). Lakatos' Philosophy of Mathematics: A Historical Approach. Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
D. Schlimm (2013). Axioms in Mathematical Practice. Philosophia Mathematica 21 (1):37-92.
David Sepkoski (2007). Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy. Routledge.
Mary Leng (2002). Phenomenology and Mathematical Practice. Philosophia Mathematica 10 (1):3-14.
Added to index2012-03-18
Total downloads4 ( #298,950 of 1,692,513 )
Recent downloads (6 months)3 ( #75,638 of 1,692,513 )
How can I increase my downloads?