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.
Notes
A preliminary version of this paper was presented at the Philosophy of Science Conference in Dubrovnik. I want to thank the organizers of this conference as well as all the participants who have made it such a wonderful and stimulating event. I also want to thank the SSHRC of Canada for its financial support.
The expression “mathematical engineering” was suggested to me by David Spurret. I think it is extremely interesting and I want to thank him for the suggestion.