International Studies in the Philosophy of Science 13 (3):245 – 259 (1999)
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In this paper, I introduce and examine the notion of “mathematical engineering” and its impact on mathematical change. Mathematical engineering is an important part of contemporary mathematics and it roughly consists of the “construction” and development of various machines, probes and instruments used in numerous mathematical fields. As an example of such constructions, I briefly present the basic steps and properties of homology theory. I then try to show that this aspect of contemporary mathematics has important consequences on our conception of mathematical knowledge, in particular mathematical growth.
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DOI | 10.1080/02698599908573624 |
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References found in this work BETA
Representing and Intervening: Introductory Topics in the Philosophy of Natural Science.Ian Hacking - 1983 - Cambridge University Press.
The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford, England: Oxford University Press.
Representing and Intervening.Ian Hacking - 1984 - British Journal for the Philosophy of Science 35 (4):381-390.
Representing and Intervening.Ian Hacking - 1987 - Revue de Métaphysique et de Morale 92 (2):279-279.
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Citations of this work BETA
A Critique of a Formalist-Mechanist Version of the Justification of Arguments in Mathematicians' Proof Practices.Yehuda Rav - 2007 - Philosophia Mathematica 15 (3):291-320.
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