A topic which has been pre-occupying me for the past few days is how logical is what we have been taught as logic? Is our approach to life strictly logical? Does anything like a strictly approach to life exits? Even if something like pure logic were to exist would it be in our interest to pursue it.
The beauty is that we need a combination of both approaches to maximize our payoffs. Being too shallow across many fields does not pay but neither does pedantic steadfastness. There have been great minds like Von Neumann who forayed into a number of fields, setting the foundations for many while there were others like Schroedinger, Dirac who achieved great things in one field only. The contributions of both approaches are equally important.
But the same applies to psychology and some of the social sciences as well. Just because something does not conform to our definition of a science doesn’t render it less relevant and consequently we have many fields which are strictly not scientific but I think that indicates our inability to develop models to understand the world.
The kind of science we do is very effective when we can develop a qualitative relationship between the various variables which got making up a phenomenon. But there are many cases when that may not be possible. In such cases, one must not dismiss the problem as non-scientific but rather understand that our mathematical tools are inadequate. In such cases using heuristics and thumb rules is perfectly admissible and in fact that may be the “scientific approach”.