Can I take this in a slightly different direction, then come back to the topic?  I'm an engineer by training and profession, at least was until I retired.  I relied a whole lot on calculations.  I used computers and hand-held calculators.  In the time I worked, I could not have performed my job without using those tools.  But it's garbage in - garbage out.  If my computer program spit out that an 8" I-beam could span 45 feet then I knew I had messed up.  You have to know the basics before you can accept the results.  
When I was training young engineers fresh out of college, I made them design padeyes or other things by hand, using a hand-held calculator and a reference book, not using the computer programs that were available.  Part of it was that I needed to believe they understood the forces and stresses involved, but also that they could handle that type of thing without a computer program.  Sometimes they would be on a construction site without a computer network available.  They had to be able to do that type of calculation without a computer program.  But more important, they had to have a feel for what was right and what was wrong.  
As clumsy as my fingers are on a keyboard, I'm a firm believer in the benefits of a spell and grammar checker.  But I think you need to know how to spell and how to use correct grammar to know whether to hit change or ignore once.  It is not that I don't trust the machine.  It's more that I do not always trust the imput.