At some point, our society decided with great certainty that the Earth is a sphere and, consequently, that further consideration is unnecessary and anyone holding an opposing viewpoint is unworthy of debate.

-- Daniel Shelton, re-founder of the Flat Earth Society

(We're looking for good illustrations of motivated uncertainty, insistence that no conclusion can be drawn from overwhelming data. Shelton may not be a good example because he is probably a deliberate troll who does not really believe the Earth is flat. Also, religious examples are excluded, but examples from e.g. astrology and homeopathy would not be. Daily-life examples are best.)