Lecture I

This mood pervades Cusanus's Docta Ignorantia published in 1440. In the development of Western civilization, men had once believed that they confronted the spirit-realm in close perspective. But then, this spirit realm became more and more remote from those men who observed it, and finally it vanished. The book of 1440 was a frank admission that the ordinary human comprehension of that time could no longer reach the remote perspectives into which the spirit realm has withdrawn. Mathematics, the most reliable of the sciences, dared to approach only with symbolic formulas what was no longer beheld by the soul. It was as though this spirit realm, receding further and further in perspective, had disappeared from European civilization. But from the opposite direction, another realm was coming increasingly into view. This was the realm of the sense world, which European civilization was beginning to observe and like. In 1440, Nicholas Cusanus applied mathematical thinking and mathematical knowledge to the vanishing spirit realm only by a timid use of symbols; but now Nicholas Copernicus boldly and firmly applied them to the outer sense world. In 1440 the Docta Ignorantia appeared with the admission that even with mathematics one can no longer behold the spirit realm. We must conceive the spirit realm as so far removed from human perception that even mathematics can approach it only with halting symbols; this is what Nicholas Cusanus said in 1440. “Conceive of mathematics as so powerful and reliable that it can force the sense world into mathematical formulas that are scientifically understandable.” This is what Nicholas Copernicus said to European civilization in 1543. In 1543 Copernicus published his De Revolutionibus Orbium Coelestium (On the Revolutions of the Celestial Bodies,) where the universe was depicted so boldly and rudely that it had to surrender itself to mathematical treatment.