In a recent paper, Maslow (12) has suggested that we turn from means-centering to problem-centering in science. In two other papers (6, 7) the present author offered a theoretical foundation which would make Maslow's suggestions psychologically (empirically) sound. For as he suggests, it is only by centering ourselves towards the task that the task is accomplished or towards the problem that the problem is solved. This does not mean that methods or means, or, in the broader sense, of means as ends or of ends per se, do not constitute problems. The whole problem of psychology is the means by which the organism obtains knowledge; the problem of education is that of means (the teaching), or the problem of communication is one of means (the language), or of any profession, e.g., engineering or medicine, the problem may be of means as a problem. Whichever is the case it is only so far as problems are solved that we are free to go on to tackle new ones or throw light on the more basic ones and thus enrich our lives. Problem solving, of course, does not mean that particular problems as framed are solvable. For example, if the rules state that one must connect each dot with every other dot on a piece of paper (a two dimensional limitation) with lines (straight or curved) that do not intersect, a four dot problem is solvable but a five dot situation cannot be resolved within these rules. In the latter case it may mean that the problem becomes: “can anyone solve it?” This has been the lesson of the mathematicians and the logical positivists. But what is problem solving?