Perhaps we may think of rigor as having two dimensions.
One dimension is high standards for verifiability. For example, in mathematics, a theorem is verified using a logical proof. In physics or chemistry, a hypothesis is verified through the process of controlled experiments.
A second dimension is open inquiry. That means that one is allowed to entertain a heterodox hypothesis, free from social pressure. If I face pressure to discard a hypothesis, that pressure comes from its failure along the verifiability dimension.
Some remarks:
1. In social science*, it is much harder than in physics or chemistry to maintain high standards of verifiability. The problem is causal density. The physicist does not have to worry about individual free will or cultural evolution, both of which add considerable causal factors to the problems studied by social scientists.
Consider the question of how to prevent another Challenger disaster. The technical engineering answer seems to be satisfactorily verified. But the organizational-behavior dimension of the problem is more contestable. Would a better formal process have led to a better decision? Or was a different cultural mindset necessary?
*As you know, I despise the term “social science,” and if it were up to me that term would be replaced by “cultural analysis.”
2. Consider examples of four quadrants;
high standards of verifiability along with open inquiry: Call this quadrant “rigorous.” Think of STEM subjects, except where open inquiry is somewhat impeded by “establishment” scientists restricting access to money and status.
low standards of verifiability along with open inquiry: Call this quadrant “faux rigorous.” Think of experimental psychology, where careless methods resulted in the “replication crisis.” Or think of multiple regression in economics, which was discredited by Edward Leamer’s critique. In fact, economists since 1945 have been engaged in collective self-deception, believing that their standards of verifiability were high when in fact this was not the case. Their mathematical models lacked a tight relationship to reality, hence what Paul Roomer dubbed “mathiness.” And their empirical work, while more careful in recent years, still is unable to definitively answer many important questions.
high standards of verifiability but without open inquiry: Call this quadrant “willful blindness.” Think of research related to IQ. Not all of this research meets high standards of verifiability, but some of it does, and even the solid research gets dismissed and denounced.
low standards of verifiability along with barriers to open inquiry: Call this quadrant “dogma.” I think that a lot of sociological theories of power and oppression fall in this quadrant. Climate science is far from my area of expertise, but my intuitive guess is that there is at least a 25 percent chance that it falls in this quadrant.
3. I believe that the trend is for social science to be less rigorous and more dogmatic. I see this as the central tragedy of our intellectual life.