ABSTRACT

In the summer of 1930, at a tea session at Caf Reichsrat in Vienna, Kurt Gdel almost casually talked about his incompleteness results to a group of researchers of high standing and having allegiance to the Vienna Circle. Gdel himself was far from scepticism in mathematics. He even believed' that someday, the continuum hypothesis would be established, though later years proved otherwise. But what Gdel proved in the second incompleteness theorem helps the sceptic in doubting truths obtained through mathematics, and as a consequence, truths in science. At the Institute for advanced Study in Princeton, Gdel had very few, almost no, friends, but Einstein was an exception. Gdel was deeply interested in Einstein's theory of relativity. All the three thinkers, Gdel, Einstein and Tagore, had been realists. Gdel believed in the existence of mathematical entities outside the human mind, not only in the existence of physical reality.