Graduate studies at Western
Kluwer Academic Publishers (2000)
|Abstract||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||$167.85 new (38% off) $171.25 used (37% off) $193.48 direct from Amazon (29% off) Amazon page|
|Call number||QA8.4.G76 2000|
|Through your library||Configure|
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.
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 downloads25 ( #55,680 of 734,580 )
Recent downloads (6 months)2 ( #36,863 of 734,580 )
How can I increase my downloads?