When i hear something along the lines of "limits of mathematics", a picture of Leibnitz tiresomely counting tortoise and Achilles steps comes to mind. Fortunate

When i hear something along the lines of "limits of mathematics", a picture of Leibnitz tiresomely counting tortoise and Achilles steps comes to mind. Fortunately, instead of dwelling on, Leibnitz and the other bright minds were able to transcend the limits of the mathematics of the time. Chaitin is a great mathematician, and there is no doubts about the limits he and others great ones have unquestionably proved. These works are great masterpieces. What looks strange is that it seems that modern human civilization has passively accepted the limits as the ultimate truth instead of trying to transcend them.