Lecture I

Especially in our age, in which there is real proficiency in the handling of facts in an outer experimental way, especially now if we are not to be drawn into superficiality, into externalities, what is investigated experimentally must be permeated with the results of spiritual research. This consciousness is opposed to the more mathematical type of consciousness that gives the researcher such a feeling of extraordinary sureness. If one wishes to examine the different ways of research, one might ask oneself the question: How does one actually know things mathematically when one applies mathematics to the facts of the outer sense-accessible world? And what distinguishes this mathematical approach from other modes of dealing with the facts given to us?