Minds and Machines 21 (2):337-359 (2011)

Abstract
The issue of proper functioning of operative computing and the utility of program verification, both in general and of specific methods, has been discussed a lot. In many of those discussions, attempts have been made to take mathematics as a model of knowledge and certitude achieving, and accordingly infer about the suitable ways to handle computing. I shortly review three approaches to the subject, and then take a stance by considering social factors which affect the epistemic status of both mathematics and computing. I use the analogy between mathematics and computing in reverse—that is to say, I consider operative computing as a form of making mathematics, and so attempt to learn from computing to mathematics in general. I conclude that mathematics engineering is a field to be both developed for practical improvement of doing mathematics and taken into consideration while philosophizing about mathematics as well
Keywords Computing engineering   Operative computing   Philosophy of mathematics   Program verification   Software engineering
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DOI 10.1007/s11023-011-9237-z
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References found in this work BETA

Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford University Press.
What is Mathematics, Really?Reuben Hersh - 1997 - Oxford University Press.
It Ain't Necessarily So.Hilary Putnam - 1962 - Journal of Philosophy 59 (22):658-671.

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Some Philosophical Issues in Computer Science.Amnon H. Eden - 2011 - Minds and Machines 21 (2):123-133.

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