How is the first point drawn on the plane of mathematics? How does the first quantitative relationship arise on this artificial topography that we draw in our mind's eye, and then point to in our subsequent development of mathematics, logic, and functional explanations in natural science? Deleuze shows us his ripe and robust life, when he concentrates on uncovering the infinite flexibility of the virtual unfolding that makes the first drawing on the mathematical plane possible. The qualitative and invisible flashing flexibility makes possible the first choice of where the line, relationship, logical set, explanatory mapping, tracing, and so on, will be present and frozen in space. Space is created out of this pure etheric fluid that is freed after adolescence of its role in shaping and growing the human physical body. But space is therefore a representational projection on the invisible canvas that we draw on, generally without seeing its contours. Moving in space as a will-being is totally different than projecting vector lines on a grid. The idea of space blocks the real experience of spiritual willing.
That is why Deleuze can say that the pure bend, the twisting virtual curves of intensity, the clinamen is not in the world, but it is the world itself. We should add, it is fashioned out of the forces of dying insofar as they are stitched into the memory plane and the plane of space in our representational canvas. For this reason alone, what is stitched with mathematical precision on the gameboard of this plane is not totally true, because it is made out of killing the living wisdom that flows all around us, or in which we are continuously flowing - the spiritual world, made up of beings who carry their moods from different regions of starry wisdom, in wholeness. This never-ending play of possible life, the fluid of potential points that are not-yet drawn (les inflexions) is thus, between dimensions (Deleuze quotes Klee's notions of modern art in 'Le Pli'). It is pure event, this elastic proto-point, proto-curve.
This is why Brouwer, Heyting, and Cantor require the infinite at the first moment of the intuition of the plane of mathematics - the qualitative multiplicity of life, created out of the dying part of the ether body, as is shown by Rudolf Steiner, is infinitely divisible (and thus can create any possible configuration); it is also infinitely productive, and its life is never exhausted (when it is connected to the infinite spiritual source of all life). This is also the reason why the pure velocities, pure differences, pure changes in direction are approximated only in calculus: pure change would have to freeze absolutely in order to be calculated and pinned onto the plane, but this would mean that velocity would have to stop in order to show itself on the plane - a self-contradiction in the concepts themselves. For this reason, the nature of the plane of life cannot be 'proved' by using the canvas itself. You can only prove to yourself the limits and the nature of the etheric canvas, where the mathematical plane is organized by historical concepts whose lines remain in memory, time, and of constant length. You can only prove it to yourself, when you see it through intuition.
But this is not the end of the process! Outside the canvas or the pure elasticity lies the breath of the moral and astral plane, and furthermore, the spiritual world itself. This means that I must also awaken to the moral reality and responsibility of the construction of the mathematical plane itself (by killing and abstraction), and also the infinite life of the Spirit-I who wakes up and sees its activity in dimensions that leave this mathematical grid behind. Then we can live in Imaginations which are themselves world-time realities, that have an infinite life and can think with moral, creative, spirit-thought, which holds the source of mathematics, life, and much more. But here we must weave with real spiritual beings of all kinds, who bypass the pure abstract concerns of projectors onto the plane of representations. This requires awakening the heart as a perceptive-thinking organ.
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