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A path to the epistemology of mathematics: homotopy theory

In Jeremy Gray & Jose Ferreiros (eds.), The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford University Press. pp. 239--260 (2006)

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  1. Personal Knowledge: Towards a Post-Critical Philosophy.Michael Polanyi - 1958 - Chicago: University of Chicago Press. Edited by Mary Jo Nye.
    In this work the distinguished physical chemist and philosopher, Michael Polanyi, demonstrates that the scientist's personal participation in his knowledge, in both its discovery and its validation, is an indispensable part of science itself. Even in the exact sciences, "knowing" is an art, of which the skill of the knower, guided by his personal commitment and his passionate sense of increasing contact with reality, is a logically necessary part. In the biological and social sciences this becomes even more evident. The (...)
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  • Thing Knowledge: A Philosophy of Scientific Instruments.Davis Baird - 2004 - University of California Press.
    Western philosophers have traditionally concentrated on theory as the means for expressing knowledge about a variety of phenomena. This absorbing book challenges this fundamental notion by showing how objects themselves, specifically scientific instruments, can express knowledge. As he considers numerous intriguing examples, Davis Baird gives us the tools to "read" the material products of science and technology and to understand their place in culture. Making a provocative and original challenge to our conception of knowledge itself, _Thing Knowledge _demands that we (...)
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  • Mathematics in the 20th century.Michael Atiyah - 2002 - NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 10 (1-3):25-39.
    This article is based on the transcript of a recording of the author’s Fields Lecture at the World Mathematical Year 2000 Symposium, Toronto, June 7–9, 2000.
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  • Image and Logic: A Material Culture of Microphysics.Peter Galison (ed.) - 1997 - University of Chicago Press: Chicago.
    Engages with the impact of modern technology on experimental physicists. This study reveals how the increasing scale and complexity of apparatus has distanced physicists from the very science which drew them into experimenting, and has fragmented microphysics into different technical traditions.
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