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
Joseph Auslander (2008). On the Roles of Proof in Mathematics. In Bonnie Gold & Roger Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. 61--77.
James H. Fetzer (1988). Program Verification: The Very Idea. Communications of the ACM 31 (9):1048--1063.
Reuben Hersh (1997). What is Mathematics, Really? Oxford University Press.
Philip Kitcher (1983). The Nature of Mathematical Knowledge. 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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