Program Verification and Functioning of Operative Computing Revisited: How about Mathematics Engineering? [Book Review]
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Minds and Machines 21 (2):337-359 (2011)
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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References found in this work BETA
Willard V. O. Quine (1951). Two Dogmas of Empiricism. Philosophical Review 60 (1):20–43.
Philip Kitcher (1983). The Nature of Mathematical Knowledge. Oxford University Press.
Stewart Shapiro (2000). Thinking About Mathematics: The Philosophy of Mathematics. Oxford University Press.
Hilary Putnam (1962). It Ain't Necessarily So. Journal of Philosophy 59 (22):658-671.
Reuben Hersh (1997). What is Mathematics, Really? Oxford University Press.
Citations of this work BETA
Amnon Eden (2011). Some Philosophical Issues in Computer Science. Minds and Machines 21 (2):123-133.
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