Mathematical engineering and mathematical change


Authors
Jean-Pierre Marquis
Université de Montréal
Abstract
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

How Experiments End.Peter Galison - 1990 - Journal of Philosophy 87 (2):103-106.
The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford University Press.
Representing and Intervening.Ian Hacking - 1986 - Philosophical Review 95 (4):606-611.
Representing and Intervening.Ian Hacking - 1987 - Revue de Métaphysique et de Morale 92 (2):279-279.

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