“If the potential of every number is in the monad, then the monad would be intelligible number in the strict sense, since it is not yet manifesting anything actual, but everything conceptually together in it.”
On the Monad
The Theology of Arithmetic
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Iamblichus 15
Syrian philosopher 240–320Related quotes
On the Monad
The Theology of Arithmetic
Context: Likewise, they call it "Chaos," which is Hesiod's first generator, because Chaos gives rise to everything else, as the monad does. It is also thought to be both "mixture" and "blending," "obscurity" and "darkness" thanks to the lack of articulation and distinction of everything which ensues from it.
Anatolius says that it is called "matrix" and "matter," on the grounds that without it there is no number.
The mark which signifies the monad is the source of all things.
Source: 1920s, Civilization and Its Discontents (1929), Ch. 5, as translated by James Strachey and Anna Freud (1961)
“Yet he would be wrong in an infinite number of ways.”
Appendix VI : A few principal rituals – Liber Reguli.
Magick Book IV : Liber ABA, Part III : Magick in Theory and Practice (1929)
Context: We know one thing only. Absolute existence, absolute motion, absolute direction, absolute simultaneity, absolute truth, all such ideas: they have not, and never can have, any real meaning. If a man in delirium tremens fell into the Hudson River, he might remember the proverb and clutch at an imaginary straw. Words such as "truth" are like that straw. Confusion of thought is concealed, and its impotence denied, by the invention. This paragraph opened with "We know": yet, questioned, "we" make haste to deny the possibility of possessing, or even of defining, knowledge. What could be more certain to a parabola-philosopher that he could be approached in two ways, and two only? It would be indeed little less that the whole body of his knowledge, implied in the theory of his definition of himself, and confirmed by every single experience. He could receive impressions only be meeting A, or being caught up by B. Yet he would be wrong in an infinite number of ways. There are therefore Aleph-Zero possibilities that at any moment a man may find himself totally transformed. And it may be that our present dazzled bewilderment is due to our recognition of the existence of a new dimension of thought, which seems so "inscrutably infinite" and "absurd" and "immoral," etc. — because we have not studied it long enough to appreciate that its laws are identical with our own, though extended to new conceptions.
The Rickover Effect (1992)
Context: The Quakers have an excellent approach to thinking through difficult problems, where a number of intelligent and responsible people must work together. They meet as equals, and anyone who has an idea speaks up. There are no parliamentary procedures and no coercion from the Chair. They continue the discussion until unanimity is reached. I want you guys to do that. Get in a room with no phones and leave orders that you are not to be disturbed. And sit there until you can deal with each other as individuals, not as spokesmen for either organization.
In "Life lessons" http://www.theguardian.com/science/2005/apr/07/science.highereducation?fb_ref=desktop The Guardian (7 April 2005)
As expressed in "The Mathematical Philosophy of Giuseppe Peano" by Hubert C. Kennedy, in Philosophy of Science Vol. 30, No. 3 (July 1963)
Peano axioms
