"Godel had established that there were limits to math and logic. The aim of Gottlob Frege, David Hilbert and Russell to create a unitary deductive system in which all mathematical (and therefore all logical) truth could be deduced from a small number of axioms could not be realized. It was, in its way, and as was hinted at above, a form of mathematical uncertainty principle - and it changed math for all time. Furthermore, as Roger Penrose has pointed out, Godel's 'open ended mathematical intuition is fundamentally incompatible with the existing structure of physics.'"
"Added to the uncertaintly principle, his theory described limits to knowledge. Put alongside all the other advances and new avenues of thought, which were then exploding in all directions, it injected a layer of doubt and pessemism. Why should there be limits to our knowledge? And what did it mean to know that such limits existed?"
-Peter Watson, The Modern Mind, Harper Collins Publisers, 2001.
One thing it should mean is that if people are going to discuss a subject, they should discuss it fully rather than pretending one outlook on it is somehow separate from the general uncertainties of life that appear to be universal to all knowledge.