I saw a BBC program and here are some interesting quotes from it:
“Cantor hoped to believe that at the deepest level mathematics would be rest on certainties, which for him were the mind of God, but instead he had uncovered uncertainties, which girdle had proved would never go away. Logic has revealed the limitations of logic. The search for certainty has revealed uncertainty. As for the notion of certainty, there is no certainty in human life, but our knowledge of our possible knowledge of this world of ideas can only be incomplete and finite because we are incomplete and finite. At the end of this journey the question I think we are left with is are we grown up enough to live with uncertainties or will we repeat the mistakes of the 20th century and pledge blinder allegiance to yet another certainty?”
