Lecture I

This internalization of the outer world with the wish to experience exactness is what motivates a mathematical explanation of nature. This is especially characteristic of our present-day scientific efforts in the direction of technology. Today's science has an intense longing to penetrate outer occurrences with mathematical concepts. This means that we bring something we have created in our own soul out into what presents itself to us in raw perception. We do this so that we may understand what is perceived, but in doing so we can have the impression that the outer occurrence actually proceeds in the way we portray it mathematically. When we have gone so far that we have achieved this ideal, as we have in the field of optics and light theory, where every phenomenon is represented in terms of a formula, what really have we done? What really is the content of our soul when instead of plain external appearances a sum of mathematical formulas seem to present themselves? What does our soul receive from this? We look at this edifice, the world portrayed as mathematical relationships, and then we turn our gaze to the actual outer world and we find something strange. We find that all that we look at, all that we consider outer material world, appears inwardly dark until it is brightened by the introduction of mathematical concepts. But at the same time we cannot deny the fact that the picture we have created of the outer world no longer contains reality, no longer the reality which presented itself to us originally.