In sci.physics Hetware <firstname.lastname@example.org> wrote: > I'm working through a 1953 edition of Thomas's _Calculus And Analytic > Geometry_. When I work problems, I use Mathematica to type my > transformations, and to check my results. I use it for far more, as > well; graphing, numerical solutions, etc. > > Many years ago I found computers to be a nuisance when it came to math, > and more importantly physics. I was contented to have a piece of chalk > or a pencil and an eraser, than to have all the computing power in (the) > Universe. Time was the only resource I found in short supply. > > Now that I have used them for years, I realize that computers can do a > whole lot. They can find integrals for equations which I cannot > integrate by hand. They can produce graphics which a human could never > produce, etc. > > I've used a pocket calculator since the 1970's. But, I feel as if I > should have learned to work the same problems on my own. I feel > somewhat crippled by using it as a crutch. > > I'm in a conundrum twixt the use of computers to do my thinking for me, > and learning to think for myself. Should a child learn his times > tables, or learn to use a computer to do it for him?
Computers don't think, they process the instructions some thinking person programmed them to process.