Lecture I

For the time being, this should only be considered as a picture of the way in which we pursue the knowledge of nature. We take something into ourselves that is presented to the senses and try to unite it intimately with something we produce only in ourselves, with mathematical construction. We feel that something is created by this union. Nature is not contained in what we have created; the living quality is not there, just as the life force is no longer in the air we exhale. We can say that our perception of the outer world is like an inhaling by the soul of what then is changed into the opposite. If one looks closely at this process of striving for mathematical knowledge of nature, it is proof of the fact that mathematical knowledge is something completely different from the merely perceptual knowledge of nature. This mere perceptual knowledge of nature contrasts with the habitual state of our soul, which consists of a feeling of competence derived from the use of inwardly formed mathematical knowledge. This state of soul wishes to have something that will explain the outer world in accordance with our own being, to unite something inner with something outer.