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6 months 2 weeks ago
It seems probable that the early Greeks were largely indebted to the Phoenicians for their knowledge of practical arithmetic or the art of calculation, and perhaps also learnt from them a few properties of numbers. It may be worthy of note that Pythagoras was a Phoenician; and according to Herodotus, but this is more doubtful, Thales was also of that race.
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W. W. Rouse Ball, A Short Account of the History of Mathematics (1905)
6 months 2 weeks ago
Whenever he heard a person who was making use of his symbols, he immediately took him into his circle, and made him a friend.
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Aristoxenus, as quoted in Birth of the Symbol: Ancient Readers at the Limits of Their Texts (2004) by Peter Struck
6 months 2 weeks ago
They thought they found in numbers, more than in fire, earth, or water, many resemblances to things which are and become; thus such and such an attribute of numbers is justice, another is soul and mind, another is opportunity, and so on; and again they saw in numbers the attributes and ratios of the musical scales. Since, then, all other things seemed in their whole nature to be assimilated to numbers, while numbers seemed to be the first things in the whole of nature, they supposed the elements of numbers to be the elements of all things, and the whole heaven to be a musical scale and a number.
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Aristotle (c. 330 BC) as quoted by Sir Thomas Little Heath, A History of Greek Mathematics, [https://books.google.com/books?id=h4JsAAAAMAAJ Vol. 1], pp.67-68, citing Metaph. A. 5, 985 b 27-986 a 2..
6 months 2 weeks ago
These thinkers seem to consider that number is the principle both as matter for things and as constituting their attributes and permanent states.
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Aristotle (c. 330 BC) as quoted by Sir Thomas Little Heath, A History of Greek Mathematics, [https://books.google.com/books?id=h4JsAAAAMAAJ Vol. 1], p.67, citing Metaph. A. 5, 986 a 16.
6 months 2 weeks ago
Pythagoras, it seems, did not only call the supreme Deity a monad, but also a tetrad, or tetractys... It is, in the golden verses, said to be the fountain of the eternal nature; and by Hierocles, the maker of all things, the intelligent god, the cause of the heavenly and sensible god, that is, of the animated world or heaven. The later Pythogoreans endeavour to give reasons why God should be called Tetractys, from certain mysteries in the number four; but... much more probable... this name was really nothing else but the tetragrammaton, or that proper name of the supreme God amongst the Hebrews, consisting of four letters; nor is it strange Pythagoras should be so well acquainted with the name Jehovah, since, besides travelling into other parts of the East, he is by Josephus, Porphyry, and others, to have conversed with the Hebrews also.
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Anonymous, [https://books.google.com/books?id=1yldAAAAcAAJ&pg=PA10 The Ancient History of the Jews, and of the Minor Nations of Antiquity] (1834) p.10
6 months 2 weeks ago
If one examines the reasons for the persecution of the best minds of different nations, and compares the reasons for the persecution and banishment of Pythagoras, Anaxagoras, Socrates, Plato, and others, one can observe that in each case the accusations and reasons for banishment were almost identical and unfounded. But in the following centuries full exoneration came, as if there had never been any defamation. It would be correct to conclude that such workers were too exalted for the consciousness of their contemporaries, and the sword of the executioner was ever ready to cut off a head held high. Pericles was recognized in his time only after people had reduced him to a sorry state. Only in that state could his fellow citizens accept him as an equal! A book should be written about the causes of the persecution of great individuals. By comparing the causes is it possible to trace the evil will.
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Agni Yoga, Supermundane, (1938), 222.
6 months 2 weeks ago
Let us not link ourselves with the vilifiers of Plato and the persecutors of Confucius. They were oppressed by citizens who were considered the pride of the country. Thus has the world raised its hand against the great Servitors. Be assured that the Brotherhood formed by Pythagoras appeared dangerous in the eyes of the city guard. Paracelsus was a target for mockery and malignance. Thomas Vaughan seemed to be an outcast, and few wished to meet with him. Thus was the reign of darkness manifested.
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Agni Yoga, Brotherhood (1937), 175.
6 months 2 weeks ago
Pythagoras... assumed as first principles the numbers and symmetries existing among them, which he calls harmonies, and the elements compounded of both, that are called geometrical. ...he says that the nature of Number is the Decad.
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Aëtius of Antioch Aëtius (I. 3.8) as quoted by in the Forward to The Theology of Arithmetic by Iamblichus (1988) Tr. Robin Waterfield, p. 9.
6 months 2 weeks ago
Ten is the very nature of number. All Greeks and all barbarians alike count up to ten, and having reached ten revert again to the unity. And again, Pythagoras maintains, the power of the number 10 lies in the number 4, the tetrad. This is the reason: if one starts at the unit (1) and adds the successive number up to 4, one will make up the number 10 (1+2+3+4 = 10). And if one exceeds the tetrad, one will exceed 10 too.... So that the number by the unit resides in the number 10, but potentially in the number 4. And so the Pythagoreans used to invoke the Tetrad as their most binding oath: "By him that gave to our generation the Tetractys, which contains the fount and root of eternal nature..."
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Aëtius of Antioch Aëtius (I. 3.8)
6 months 2 weeks ago
In this theater of man's life it is reserved only for God and angels to be lookers on.
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Francis Bacon, in The Advancement of Learning (1605) Book II, xx, 8.

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