The soul activity of building mathematics in full inner transparency, which Steiner took as the model for exact meditation and supersensible research.
Mathematizing in Anthroposophy is the soul activity of constructing mathematics from within: forming number, formula, and geometric figure in complete inner transparency, so that the thinker is accountable to himself at every step and can survey exactly how each certainty arises. Rudolf Steiner treats this self-generated activity as the working model for meditation. In the lectures collected in The Relationship between Anthroposophy and the Natural Sciences (GA 75, delivered 1920 to 1922), he argues that the same will-permeated clarity a mathematician brings to a triangle or an equation can be trained upon inwardly formed images, which is why he calls supersensible research exact. The dictum of the age, being is that which can be measured, honors this activity without noticing its source in the human being. Today the term speaks to philosophy of science debates about why self-made mathematics fits outer nature at all.
Mathematizing names what the soul actually does when it does mathematics: it generates its own content, watches that content arise, and owes nothing to the senses. Steiner returned to this activity throughout his scientific lectures because it is the one place where modern people already produce knowledge in full wakefulness, and he built the anthroposophical path of schooling on its pattern.
In Steiner's Own Words
It is necessary for us to place a readily comprehensible idea at the center of our consciousness, and it does not matter whether it refers to something external or whether it is formed only internally, even if it comes from the imagination. The truth of the idea is not important at first, but it is important that we can easily grasp it. I have described all this in relation to this anthroposophical research method in my books “How to Know Higher Worlds,” in “Occult Science” and in other books; there I have described the way in which one enters into this form of meditative imagination in the soul in exactly the same way as one does in mathematizing.
What it Means Today
In 1960 the physicist Eugene Wigner published a now famous essay, The Unreasonable Effectiveness of Mathematics in the Natural Sciences, in Communications on Pure and Applied Mathematics. Wigner, who received the Nobel Prize in Physics three years later, confessed that there is no rational explanation for the fact that concepts spun out of the human mind, complex numbers, group theory, Hilbert spaces, describe the physical world with uncanny precision. He called this fit a gift that physics neither understands nor deserves. Steiner had stood before the same fact four decades earlier, in the GA 75 lectures, and read it in the opposite direction. For him the fit is a disclosure, not a miracle: the activity that produces mathematics is itself a piece of reality, a will activity of the soul performed in complete wakefulness, and the discipline it teaches can be extended beyond quantity. That is why the first exercise of his research path asks the practitioner to hold a self-formed idea in consciousness with the same accountability a geometer brings to a proof.
Thalira synthesis: Wigner's unanswered question is Steiner's answered one, because mathematizing reveals that in this one activity the world already thinks itself in us, and meditation widens the channel. A practitioner can begin exactly where Steiner pointed: work through a simple geometric proof slowly, then watch, not the theorem, but the certainty forming.
Where to Read More
- The Relationship between Anthroposophy and the Natural Sciences, GA 75
- Find GA 75 at SteinerBooks
- Find How to Know Higher Worlds at SteinerBooks
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