Mathematical progress: Between reason and society [Book Review]
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal for General Philosophy of Science 24 (2):235-256 (1993)
It is shown how the historiographic purport of Lakatosian methodology of mathematics is structured on the theme of analysis and synthesis. This theme is explored and extended to the revolutionary phase around 1800. On the basis of this historical investigation it is argued that major innovations, crucial to the appraisal of mathematical progress, defy reconstruction as irreducibly rational processes and should instead essentially be understood as processes of social-cognitive interaction. A model of conceptual change is developed whose essential ingredients are the variability of rational responses to new intellectual and practical challenges arising in the cultural environment of mathematics, and the shifting selective pressure of society. The resulting view of mathematical development is compared with Kuhn's theory of scientific paradigms in the light of some personal communications
|Keywords||analysis and synthesis the problem of appraisal revisited model of socio-cognitive interplay between Lakatos and Kuhn the rational and the social|
|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
Eduard Glas (1988). Between Form and Function. Social Issues in Mathematical Change. Philosophica 42 (2):21-41.
Eduard Glas (1986). On the Dynamics of Mathematical Change in the Case of Monge and the French Revolution. Studies in History and Philosophy of Science Part A 17 (3):249-268.
Ts Khn (1970). Reflections on My Critics. In Imre Lakatos & Alan Musgrave (eds.), Criticism and the Growth of Knowledge. Cambridge University Press.
Philip Kitcher (1983). The Nature of Mathematical Knowledge. Oxford University Press.
Thomas S. Kuhn (1983). Rationality and Theory Choice. Journal of Philosophy 80 (10):563-570.
Citations of this work BETA
D. Corfield (1997). Assaying Lakatos's Philosophy of Mathematics. Studies in History and Philosophy of Science Part A 28 (1):99-121.
Eduard Glas (2001). The 'Popperian Programme' and Mathematics. Studies in History and Philosophy of Science Part A 32 (1):119-137.
Eduard Glas (1993). From Form to Function: A Reassessment of Felix Klein's Unified Programme of Mathematical Research, Education and Development. Studies in History and Philosophy of Science Part A 24 (4):611-631.
Similar books and articles
Emil Leon Post (1941). The Two-Valued Iterative Systems of Mathematical Logic. London, H. Milford, Oxford University Press.
George Santayana (1905/1998). The Life of Reason. Prometheus Books.
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.
Mary Leng (2010). Mathematics and Reality. OUP Oxford.
Arthur L. Stinchcombe (1982). On Softheadedness on the Future:From Modernization to Modes of Production: A Critique of the Sociologies of Development and Underdevelopment. John G. Taylor; The Third Century: America as a Post-Industrial Society. Seymour Martin Lipset; World Modernization: The Limits of Convergence. Wilbert E. Moore; History of the Idea of Progress. Robert Nisbet; Capitalism and Progress: A Diagnosis of Western Society. Bob Goudzwaard; After Industrial Society? The Emerging Self-Service Economy. Jonathan Gershuny; Facing the Future: Mastering the Probable and Managing the Unpredictable. OECD Interfutures; Prophecy and Progress: The Sociology of Industrial and Post-Industrial Society. Krishan Kumar. [REVIEW] Ethics 93 (1):114-.
Mark McEvoy (2007). Kitcher, Mathematical Intuition, and Experience. Philosophia Mathematica 15 (2):227-237.
Valeria Giardino (2010). Intuition and Visualization in Mathematical Problem Solving. Topoi 29 (1):29-39.
Emily Grosholz & Herbert Breger (eds.) (2000). The Growth of Mathematical Knowledge. Kluwer Academic Publishers.
Morris Ginsberg (1968). Essays in Sociology and Social Philosophy. Harmondsworth, Penguin.
Eduard Glas (1993). Mathematical Progress: Between Reason and Society: Part II: The Interplay of Cognitive and Social Factors. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (2):235 - 256.
Added to index2009-01-28
Total downloads8 ( #159,177 of 1,096,272 )
Recent downloads (6 months)1 ( #224,942 of 1,096,272 )
How can I increase my downloads?