I want to know the answer to the following question:
What was the consequence of the theory of incompleteness?
All the background I'm provided with is that "But von Neumann, who had participated at the Congress, confirmed his fame as an instantaneous thinker, and in less than a month was able to communicate to Gödel himself an interesting consequence of his theorem: namely that the usual axiomatic systems are unable to demonstrate their own consistency.". Is that enough to answer the question?