Lecture IV

It is indeed true that all thinking about these concepts is of no avail. One feels this. Therefore, Newton is only beginning to juggle mathematically when he uses these concepts to explain the world. He is juggling with ideas. This is not meant in a derogatory way; I only want to describe Newton's abilities in a telling manner. One of the concepts thus utilized by Newton is that of space. He manipulates the idea of space as perceived by the man in the street. Still, a vestige of living experience is contained therein. If, on the other hand, one pictures space in terms of Cartesian mathematics, without harboring any illusions, it makes one's brain reel. There is something undefinable about this space, with its arbitrary center of coordinates. One can, for example, speculate brilliantly (and fruitlessly) about whether Descartes’ space if finite or infinite. Ordinary awareness of space that is still connected with the human element really is not at all concerned with finiteness or infinity. It is after all quite without interest to a living world conception whether space can be pictured as finite or infinite. Therefore one can say that Newton takes the trivial idea of space just as he finds it, but then he begins to mathematize. But, due to the particular quality of thinking in his age, he already has the abstracted mathematics and geometry, and therefore he penetrates spatial phenomena and processes of nature with abstract mathematics. Thereby he sunders the natural phenomena from man. In fact, in Newton's physics we meet for the first time ideas of nature that have been completely divorced from man. Nowhere in earlier times were conceptions of nature so torn away from man as they are in Newtonian physics.