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From: Sebastian Redl (sebastian.redl_at_[hidden])
Date: 2006-07-12 08:38:56

Paul Giaccone wrote:

>There is a very good reason why the "rule" (actually a
>relation) is absent in mathematics: namely that it cannot be defined in
>a meaningful, useful way, as others have already demonstrated. If it
>can't be done meaningfully in mathematics, it can't be done meaningfully
>in computer science either.
That's not true. An ordering cannot be defined for the mathematical
construct "complex number" that is meaningful and useful to
mathematicians. That doesn't mean that the same applies to computer
scientists - it is very well possible to define an operator < for
std::complex that is useful (allows using the class itself, as well as
tuples containing it, to be easily used in sorted containers) and
meaningful (it's lexicographical - it certainly has meaning, even if
that meaning doesn't make sense to mathematicians).

Sebastian Redl

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