> Ada didn't prevent the Ada code in Ariane 5 from being a disaster
That's a weak argument to say that Ada could not lead to a better place in term of software.
It's like saying that it's not safer to cross at a crosswalk because you know someone who died while crossing on one.
(But I guess that's fair for you to say that, as the argument should probably be made by the people that say that Ada would be better, and because they made a claim without evidences, you can counterclaim without any evidence :-) )
There are no programming language that can prevent a software for working correctly outside of the domain for which the software is written, which was the case for Ariane 501. Any language that would have been used to write the same software for Ariane 4 may have led to the same exact error. Ariane 501 failure is a system engineering problem here, not a software problem (even if in the end, the almost last piece in the chain of event is a software problem)
Not a mathematician, just an engineer that used matrix a lot (and even worked for MathWorks at one point), I would say that most mathematicians don't care. Matrix is 2D, they don't have a good way to be laid out in 1D (which is what is done here, by giving them linear indices). They should not be represented in 1D.
The only type of mathematicians that actually care are:
- the one that use software where using one or the other and the "incorrect" algorithm may impact the performance significantly. Or worse, the one that would use software that don't use the same arbitrary choice (column major vs row major). And when I say that they care, it's probably a pain for them to think about it.
- the one that write these kind of software (they may describe themselves as software engineer, but some may still call themselves mathematicians, applied mathematicians, or other things like that).
Now maybe what the author wanted to say is that some language "favored by mathematician" (Fortran, MATLAB, Julia, R) are column major, while language "favored by computer scientist" (C, C++) are row major
That's a weak argument to say that Ada could not lead to a better place in term of software. It's like saying that it's not safer to cross at a crosswalk because you know someone who died while crossing on one.
(But I guess that's fair for you to say that, as the argument should probably be made by the people that say that Ada would be better, and because they made a claim without evidences, you can counterclaim without any evidence :-) )
There are no programming language that can prevent a software for working correctly outside of the domain for which the software is written, which was the case for Ariane 501. Any language that would have been used to write the same software for Ariane 4 may have led to the same exact error. Ariane 501 failure is a system engineering problem here, not a software problem (even if in the end, the almost last piece in the chain of event is a software problem)