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)90036-8
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References found in this work BETA

A Response to My Critics.Thomas S. Kuhn - 1970 - In Imre Lakatos & Alan Musgrave (eds.), Criticism and the Growth of Knowledge. Cambridge University Press.
Towards a Theory of Mathematical Research Programmes (I).Michael Hallett - 1979 - British Journal for the Philosophy of Science 30 (1):1-25.
Towards a Theory of Mathematical Research Programmes (II).Michael Hallett - 1979 - British Journal for the Philosophy of Science 30 (2):135-159.
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.

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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. [REVIEW]Eduard Glas - 1993 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (2):235-256.
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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