Diagrams from Gilles Deleuze’s The Fold: Leibniz and the Baroque—based on the monadology theories of Gottfried Wilhelm Leibniz (Gilles Deleuze, 1992).
(via arasite.org)
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Diagrams from Gilles Deleuze’s The Fold: Leibniz and the Baroque—based on the monadology theories of Gottfried Wilhelm Leibniz (Gilles Deleuze, 1992).
(via arasite.org)
"Scientific materialism isn’t the only type of science. Leibniz, the great German genius, was a champion of scientific idealism. The atoms in his system weren’t physical, but mental, and he named them monads. To counter Feynman’s position, a present-day Leibniz might say, “All things are made from mental atoms, which are simple mathematical substances from which all compounds are mathematically derived via the laws of ontological mathematics. Monads are expressed through constant motion, and that mental motion is what we call thinking. Pure thinking takes place in an immaterial, mathematical frequency domain outside space and time. By virtue of Fourier mathematics, frequency functions can be represented in a spacetime domain, and this domain is what is known as the physical world of matter. It is not ‘physical’ in any true sense. It’s just a certain mode of mental functionality. There is no such thing as scientific matter. There is only mind. A mind is a monad, and monads are all there are. Everything is an expression of monadic, mental mathematics.”
~ Mike Hockney, 'The Science of Monads'
"To the trained thinker, mathematics is obviously limited to the realm of form, or to those departments of manifestation where numbers as diversified elements exist suspended from common Unity, which is their monad and which was termed by the Pythagoreans 'Number.' As all individual minds are suspended from the principle of Mind, so all numbers are suspended from the principle of Number. Number is consequently divine and founded in the archetypal sphere, from whence its radiations (or principles) descend into the sensible world, there to manifest as the exactitudes of mathematical procedure. By some, Number was considered synonymous with God in that the first motion of Deity establishes Number, which becomes the mode whereby the magnitude and duration of that motion are rendered conceivable. Hence, motion does not exist unless the cause either is aware of its own extension or induces awareness in the substance through which extension is taking place. Motion and Number, therefore, are of kindred nature and form the monad from which is suspended all diversified activity-- which is Number in motion, or the numbers. "
~ Manly P. Hall, "Mathematics the Master Science' (excerpt from 'Lectures on Ancient Philosophy', 1929)
two universal structures of life founded within one another
two universal structures of life founded within one another
Hence, the phenomenological reduction leads to two univer- sal structures of life founded within one another: 1) my life, and every transcendental life of any /Ego/, constituted for itself in orig- inary experience. It is a universal stream of life in the form of an 15 original self-consciousness, that is, of “innermost” perceiving, and what says the same, of a conscious realization of oneself for…
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Emmanations of the Singularity From this Singularity (the supreme Monad), endless points (individual monads) can emerge to create all of the mathematical objects of the world through their various combinations and relations. The Neoplatonists relied on a similar scheme. The ineffable “One” was the origin, the “Nous” (Mind/Spirit) was its first emanation, the “Psyche” (Soul) was its second emanation, and “Nature” its final emanation (we thus have the four levels of the Pythagorean tetraktys). Each emanation contemplates the level above it.
The Mathematical Universe by Mike Hockney
Good thoughts rarely make you feel as good as bad feelings make you think bad thoughts.
time to reread the monadology!
It is clear from this that there is a world of creatures, living beings, animals, entelechies, souls, in the smallest particle of matter. Each part of matter can be thought of as a garden full of plants or as a pond full of fish. But each branch of the plant, each member of the animal, each drop of its humors, is also such a garden or such a pond. And although the earth and the air interspersed between the plants of the garden, and the water interspersed between the fish in the pond, are not themselves fish, they too contain them, though most frequently of a fineness imperceptible to us.
Gottfried Wilhelm Leibniz, “The Monadology”
So an organic body belonging to a living being is a kind of divine machine or natural automation infinitely surpassing all artificial automata. For a machine made by human art is not a machine in each of its parts; for example, the tooth of a brass wheel has parts or fragments which are not artificial so far as we are concerned, and which do not have the character of a machine, in that they fit the use for which the wheel was intended. But the machines of nature, living bodies, are still machines into their smallest parts, into infinity. It is this that makes the difference between nature and art, that is, between the divine art and ours.
Gottfried Wilhelm Leibniz, “The Monadology”