David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Kluwer Academic Publishers (2000)
This book draws its inspiration from Hilbert, Wittgenstein, Cavaillès and Lakatos and is designed to reconfigure contemporary philosophy of mathematics by making the growth of knowledge rather than its foundations central to the study of mathematical rationality, and by analyzing the notion of growth in historical as well as logical terms. Not a mere compendium of opinions, it is organised in dialogical forms, with each philosophical thesis answered by one or more historical case studies designed to support, complicate or question it. The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role of abstraction, analysis and axiomatization. The third raises the question of whether the growth of mathematical knowledge constitutes progress, and how progress may be understood. Readership: Students and scholars concerned with the history and philosophy of mathematics and the formal sciences.
|Categories||categorize this paper)|
|Buy the book||$194.51 used (28% off) $196.47 new (27% off) $214.43 direct from Amazon (21% off) Amazon page|
|Call number||QA8.4.G76 2000|
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|
Craig Fraser, Hamilton-Jacobi Methods and Weierstrassian Field Theory in the Calculus of Variations: A Study in the Interaction of Mathematics and Physics.
Donald Gillies, An Empiricist Philosophy of Mathematics and its Implications for the History of Mathematics.
Emily R. Grosholz, The Partial Unification of Domains, Hybrids, and the Growth of Mathematical Knowledge.
Michael Liston, Mathematical Empiricism and the Mathematization of Chance: Comment on Gillies and Schneider.
Madeline M. Muntersbjorn, The Quadrature of Parabolic Segments 1635–1658: A Response to Herbert Breger.
References found in this work BETA
No references found.
Citations of this work BETA
Brendan Larvor (2012). How to Think About Informal Proofs. Synthese 187 (2):715-730.
Jessica Carter (2013). Handling Mathematical Objects: Representations and Context. Synthese 190 (17):3983-3999.
Brendan Larvor (2008). What Can the Philosophy of Mathematics Learn From the History of Mathematics? Erkenntnis 68 (3):393 - 407.
Mark Zelcer (2013). Against Mathematical Explanation. Journal for General Philosophy of Science 44 (1):173-192.
Michèle Friend (2010). Confronting Ideals of Proof with the Ways of Proving of the Research Mathematician. Studia Logica 96 (2):273-288.
Similar books and articles
Nicholas Maxwell (2010). Wisdom Mathematics. Friends of Wisdom Newsletter (6):1-6.
Robert Schwartz (1995). Is Mathematical Competence Innate? Philosophy of Science 62 (2):227-40.
Philip Kitcher (1983). The Nature of Mathematical Knowledge. Oxford University Press.
Mary Leng, Alexander Paseau & Michael D. Potter (eds.) (2007). Mathematical Knowledge. Oxford University Press.
Stojan Obradović & Slobodan Ninković (2009). The Heuristic Function of Mathematics in Physics and Astronomy. Foundations of Science 14 (4):351-360.
Gianluigi Oliveri (1997). Criticism and Growth of Mathematical Knowledge. Philosophia Mathematica 5 (3):228-249.
T. Koetsier (1991). Lakatos' Philosophy of Mathematics: A Historical Approach. Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
Carlo Cellucci (2000). The Growth of Mathematical Knowledge: An Open World View. In Emily Grosholz & Herbert Breger (eds.), The Growth of Mathematical Knowledge, pp. 153-176. Kluwer. 153--176.
Jean-Pierre Marquis (1999). Mathematical Engineering and Mathematical Change. International Studies in the Philosophy of Science 13 (3):245 – 259.
Eduard Glas (1993). Mathematical Progress: Between Reason and Society: Part I: The Methodological Model and Its Alternatives. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (1):43 - 62.
Added to index2009-01-28
Total downloads27 ( #67,261 of 1,099,557 )
Recent downloads (6 months)2 ( #186,306 of 1,099,557 )
How can I increase my downloads?