Program Verification and Functioning of Operative Computing Revisited: How about Mathematics Engineering?
 Uri Pincas
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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.
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Operational Computing: Practice and Theory
The word "operational" ("operative", "operating", etc') is somewhat overloaded in computer science (operating systems, operative research, and more), but it is still used in this work, mostly with "computing", referring to "practical computing", in the sense of actual programs run on electronic machines. Sometimes it is used for activities being taken in some other, probably more theoretical and general, context.
 What About Mathematics?
 Mathematics/Computing
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 Title
 Program Verification and Functioning of Operative Computing Revisited: How about Mathematics Engineering?
 Journal

Minds and Machines
Volume 21, Issue 2 , pp 337359
 Cover Date
 20110501
 DOI
 10.1007/s110230119237z
 Print ISSN
 09246495
 Online ISSN
 15728641
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Computing engineering
 Operative computing
 Philosophy of mathematics
 Program verification
 Software engineering
 Industry Sectors
 Authors

 Uri Pincas ^{(1)}
 Author Affiliations

 1. The Open University of Israel, Raanana, Israel