Lecture I

It is thought that in observation, as well as in experimentation, mathematics must be introduced. Through this, one feels oneself in a secure element, one feels in a position to have an overview of a series of facts with the use of mathematical formulas. This is a totally different relationship to knowledge than when such facts are simply described in their natural state. This feeling of certainty which one has in treating knowledge mathematically, has been characteristic of scientific thinking for a long time. One cannot say we have today a really clear idea of the reasons why one feels so certain and safe with the mathematical handling of the natural world. A clear knowledge of the feeling of certainty accompanying the use of mathematics will lead us to acknowledge the necessity that a spiritual science must come about with an equivalent degree of certainty.