6. Agnosticism in Science and Anthroposophy

For anyone who can think mathematically, it is out of the question that they cannot also construct such mathematical truths purely through inner experience, even if they are the most complicated mathematical truths. There is no question of that. Even if I had to draw them with chalk, that would still have no significance for the simple reason that what constitutes the substantial validity of the proposition is to be illustrated in the drawing, but does not have to be concluded in it. If I use the drawing on the board to visualize that the angle is a right angle, then this visualization does not establish anything specific for the inner validity of the sentence. And that is what ultimately matters. There can be absolutely no question of my first needing the drawing on the board. But even if I needed it, that would be completely irrelevant to what I have said about the nature of mathematization – not about solving individual problems, but about mathematization in general. What is important here lies in a completely different area than what has been mentioned here, because when we look at mathematization, we are simply led to say that we experience inner truths.