Let's be clear: the work of science has nothing whatever to do with consensus. Consensus is the business of politics. Science, on the contrary, requires only one investigator who happens to be right, which means that he or she has results that are verifiable by reference to the real world. In science consensus is irrelevant. What is relevant is reproducible results.
As a STEM major, I am somewhat bias towards "strong" evidence side of the argument. However, the more I read literature from other somewhat related fields i.e. psychology, economics and climate science; the more I felt that they have little opportunity in repeating experiments, similar to counterparts in traditional hard science fields. Their accepted theories are based on limited historical occurrences and consensus among the scholars. Given the situation, should we consider "consensus" as accepted scientific facts ?"
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