Studies in History and Philosophy of Science Part A 20 (2):157-174 (1989)
Abstract |
Recent philosophical accounts of mathematics increasingly focus on the quasi-Empirical rather than the formal aspects of the field, The praxis of how mathematics is done rather than the idealized logical structure and foundations of the theory. The ultimate test of any philosophy of mathematics, However idealized, Is its ability to account adequately for the factual development of the subject in real time. As a text case, The works and views of felix klein (1849-1925) were studied. Major advances in mathematics turn out to be most adequately understood as shifts to new conceptualizations at different levels of idealization and abstraction. The implications of the model are explored with special reference to modern philosophical views of the nature and the warrants of mathematical claims to knowledge, And the methodology of the development of this knowledge
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DOI | 10.1016/0039-3681(89)90001-0 |
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References found in this work BETA
Objectivity, Value Judgment, and Theory Choice.Thomas S. Kuhn - 1977 - In The Essential Tension: Selected Studies in Scientific Tradition and Change. University of Chicago Press. pp. 320--39.
A Response to My Critics.Thomas S. Kuhn - 1970 - In Imre Lakatos & Alan Musgrave (eds.), Criticism and the Growth of Knowledge. Cambridge University Press.
Falsification and the Methodology of Scientific Research Programmes.Lakatos Imre - 1970 - In Imre Lakatos & Alan Musgrave (eds.), Criticism and the Growth of Knowledge. Cambridge University Press. pp. 91-195.
Towards a Theory of Mathematical Research Programmes (I).Michael Hallett - 1979 - British Journal for the Philosophy of Science 30 (1):1-25.
Natural Science and Its Dangers.T. Kuhn - 1970 - In Imre Lakatos & Alan Musgrave (eds.), Criticism and the Growth of Knowledge. Cambridge University Press.
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Citations of this work BETA
Assaying Lakatos's Philosophy of Mathematics.David Corfield - 1997 - Studies in History and Philosophy of Science Part A 28 (1):99-121.
Mathematical Progress: Between Reason and Society.Eduard Glas - 1993 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (1):43-62.
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