In his article "Skepticism, truth as coherence, and constructivist epistemology: grounds for resolving the discord between science and religion?", John Staver identifies what he considers to be the source of the conflicts between science and religion: the establishment of the relationship between truth and knowledge, from the perspective of those who see a correspondence between reality and knowledge, assumed in the realm of both contending fields. In the present work, although agreeing with the general principles of constructivism, I discuss Staver's option of viewing truth as coherence and his proposal of renouncing the objective of knowing reality from both fields' perspective. Three aspects of Staver's article are commented and discussed here: the one referring to views of reality or of nature as shared by scientists; the one concerning the different forms of religious beliefs among scientists; and the one accounting for the impossibility, from the standpoint of constructivism, of determining limits to the objectives of science and religion. Also emphasized in this discussion is the importance of combining theoretical and methodological approaches in tune with the complexity of the theme under discussion, accounting for the need to preserve the freedom of thinking and of doing research.