"Problem"

What kind of problem do we have in mind when we teachers say that the goal of science and math education is to produce effective problem solvers? Are we not supposed to qualify our use of the word "problem" here? I mean, problems solvers where? In what area of human activity? I'm raising this question because many of us seem to ignore the fact that life problems could not be divided into scientific and mathematical problems alone.  Obviously, there are other problems that could not be answered satisfactorily using mathematical or scientific thinking alone. Some of such problems, I must say, could even be more important than the problems one had been asked to solve in physics or advanced algebra. Here are some examples of such problems: (1) Should I terminate my pregnancy? (2) Should we implement again the death penalty? (3) Is abortion immoral? (4) Should we legalize same-sex marriage? To address these questions, one can't just do mathematical or scientific reasoning. What is needed here is rigorous or disciplined evaluative reasoning, which, unfortunately, is not taught the way scientific and mathematical reasoning are taught in basic (primary and secondary) education.