I had never heard of the term "reflective equilibrium", although I'm pretty sure that all intelligent human beings have engaged in it at least at some point in their lives. It seems to me that it is healthy exercise.
Massimo Pigliucci introduces reflective equilibrium in his blog "Rationally Speaking":
This is a good argument "Now, if you are concerned about the coherence of your beliefs, you have several moves at your disposal. You could admit that the Bible is not infallible, and that God may not have meant what Exodus attributes to Him. Or, you could abandon the idea that morality comes from God. Lastly, you could agree that yes, after all it is all right to kill children who disrespect their elders. In considering any of these options, and actually adjusting your set of beliefs about morality, divinity and children’s behavior, you have engaged in an exercise of “reflective equilibrium.”"
That's the paragraph that attracted mt to his article.
I have met him in one of the NYC "Dinner and Philosophy" evening at a Moroccan restaurant. It was fun, in a nerdy way, of course. When I'm done with the crutches, I'll attend another of those evenings.