Also, mathematicians are much more well- and long-trained than typical programmer.
And it is good in both ways: some times ago there was idea that everybody should learn a little of programming (see, for example, BBC program in UK which brings us BBC Micro and, later ARM processor ;-) ), because now almost everything is computer (including my wahsing mashine). Now, it is not popular idea, now all corporations try to build non-programmable walled gardens, but it was not so always.
COBOL (and SQL) were created with managers, not programmers, in mind. Goal was to allow managers automate their business-processes without calling for IT consultant.
Spreadsheets are VERY near to this goal. I've seen A LOT of business and finance automation made in excel by people, who will punch you in the face, if you say them that now they are programmers.
If we want to have very specialized, PhD-requiring languages, it is perfectly Ok. But then don't try to sell them to Spreadsheet users.
> But then don't try to sell them to Spreadsheet users.
The problem rather is that "fetching people where they are" regarding the programming language design means keeping these people stupid. Instead, you should market the programming language to spreadsheet users by explaining them how the new kind of thinking that the programming language enables lets their intellectual potential explode.
Problem is, many people (including many power Excel users) don't want to "lets their intellectual potential explode". Job is trading time for money. Not something for rising self-esteem or even something interesting. You could try to play "you will do more in less time" card, but it is often not true (unfortunately), and in corporate world person who do more in less time get more tasks and not the rise.
My experience shows, that programmers love their job and want to be better for sake of being better much more often, than other employees (and it is considering norm - like "show your github profile" on hiring, do you know cases when auto mechanic is required to show custom-build car to get job in the shop?). And even among programmers it is not universal rule, I know some colleagues (very competent ones, need to say) for whom it is simple job, not passion. They don't read bleeding-edge papers on CS, they don't have pet projects and, even, may not own computer at home - PlayStation/XBox and smartphone is enough for them, because computers are tool of trade, not home necessity.
And it is good in both ways: some times ago there was idea that everybody should learn a little of programming (see, for example, BBC program in UK which brings us BBC Micro and, later ARM processor ;-) ), because now almost everything is computer (including my wahsing mashine). Now, it is not popular idea, now all corporations try to build non-programmable walled gardens, but it was not so always.
COBOL (and SQL) were created with managers, not programmers, in mind. Goal was to allow managers automate their business-processes without calling for IT consultant.
Spreadsheets are VERY near to this goal. I've seen A LOT of business and finance automation made in excel by people, who will punch you in the face, if you say them that now they are programmers.
If we want to have very specialized, PhD-requiring languages, it is perfectly Ok. But then don't try to sell them to Spreadsheet users.