The Theology of Arithmetic. On the Mystical, Mathematical and Cosmological Symbolism of the First Ten Numbers. Attributed to Iamblichus. The Theology of Arithmetic: On the Mystical, Mathematical and Cosmological Symbolism of the First Ten Numbers. Front Cover. Iamblichus. Phanes Press, Jan 1. The theology of arithmetic: on the mystical, mathematical and cosmological symbolism of the first ten numbers. Front Cover. Iamblichus. Phanes Press, .

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Seven is said to be the number of the primary concord, the fourth 4: They are virtues of mortal parts of the soul see pp. One of three Fates: Thellogy if the dyad is a system of monads, 15 then [14] the monads are generated earlier; and if the monad is half the dyad, then the existence of the dyad is necessarily prior. Whole sections are taken from the Theology of Arithmetic of the famous gheology influential mathematician and philosopher Nicomachus of Gerasa, and from the On the Decad of Iamblichus’ teacher, Anatolius, Bishop of Laodicea.

Past, present and future.

And the best of harmo- nies, which admits all the concordant ratios, is the one which falls under the number 35, which not only, as regards being made solid and complete, is accomplished by the two aforementioned cubes, which are equal-times-equal-times-equal, extended in three di- mensions, but also is the combination of the first three theologt numbers, which are equal to their own gheology — 1 potentially, 6 and 28 actually.

English and Greek Edition. That is, a conjunct tetrachord — a sequence of four notes made out of one set of two notes and one set of three notes, where the last of the first two and the first of the last three are the same note. It is also thought to be both ‘mixture’ and ‘blending,’ ‘obscurity’ and ‘darkness,’ thanks to the lack of articulation arkthmetic distinction of everything which ensues from it.

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From this use of pebbles, we have inherited the word ‘calculation,’ from the Latin calculus, which means ‘pebble. Which is the definition of actual number see p. Amazon Rapids Fun stories for kids on the go.

But number itself is found to have formed its progression to infinity by means of the hexad, in perfect additions. Each sum adds up to 10, and 5 is found to be the arithmetic mean, as the diagram 1.

See Plato, Timaeus 53cc.

Children cut their teeth at seven months, and at twice seven sit up and gain an unswaying posture, and at three times seven they begin to articulate speech and make their first efforts at talking, and at four times seven they iamblivhus without falling over and try to walk, and at five times seven they are naturally weaned and milk ceases to be their food. Philolaus, fragment 13 Diels-Kranz.


This is why Nature separated each of the extremities of our bodily part I mean, the extremities of our feet and hands in a five-fold way, into fingers and toes. For all of them will be 5 each; and 5 alone remains unsubtracted and unadded, so that it is neither more nor less, but it alone encompasses by nature what is fitting and appropriate. Many of these philosophers, such as Publius Nigidius Figulus first century B.

To the extent that a tradition can be said to be developed; it is more accurate to say that it can be clothed in different forms. L rated it did not like it May 12, ON THE HEXAD 83 starts with the hexad and proceeds by doubles and triples; and the harmonious adaptation which it crucial for all things, and pertains to the viability of seven-month and especially nine-month chil- dren, starts with these musical sequences.

Iamblichus – The theology of arithmetic

Assuming that the monad is the source of equality because the first manifestation of yheology isthen those passages are relevant, because they argue that all forms of inequality see p. The fragmentary evidence from the intervening cen- turies allows us to be sure that arithmological tenets were used in various commentaries on Plato’s dialogues especially Timaeus, of course ; but the mainstream of progress can only be conjectured.

For the hexad is the first and most basic number to encompass [48] an arithmetic mean,- for since the arithmetic mean is obviously contained primarily in 1, 2, 3, and the combina- tion of these is the hexad, then the hexad admits the primary expression of proportionality and forms number itself, since the characteristic property of being a numerical mean is found essen- tially in it; 15 and also the primary embodiment of scalene number is solidified in the sequence up to it — 1, 2, 3.

The monad, as the basic number of this series, is equal to the monad; the triad is equal to monad and dyad; the hexad is equal to arithmeyic, dyad and triad; the decad is equal to monad, dyad, triad and tetrad. Here ‘gnomon’ is being used primarily in its original sense as a carpenter’s tool see Glossary. For 3 is the first number to be actually odd, since in conformity with its descriptions it is ‘more than equal’ and has something more than the equal in another part; 1 and it is special in iamhlichus of being successive to the two sources and a system of them both.


The Theology of Arithmetic by Iamblichus of Chalcis

Statesman Cambridge University Press, Aristotle: It goes without saying that none of them are responsible for any remaining defects in quality and tone of my translation or com- mentary. The hebdomad is critical in illnesses. Top Reviews Most recent Top Reviews.

Here we arlthmetic the principle of ‘twice’ and ‘thrice’ as well as the progression from 2 into a plane 4 and a cubic 8, while on od opposite arm is 3 with its plane 9 and cubic What I have called the ‘lecture-note’ style of the book already warns us, and the context of the vast arithmological tradition confirms, that the best approach would be to regard nothing in the book as original to the anonymous compiler, and to remember that far more ancient arithmology is lost than is extant.

Moreover, the triad makes 6 by the addition of the monad, dyad and itself, and 6 is the first perfect number. Hence, when athletes reach this age, some have already stopped winning and do not expect to achieve anything more, though others do not yet give up. So the reference is to Nicomachus, but as commented on by Iamblichus The Theology of Arithmetic by Iamblichus of Chalcis.

I’ve enjoyed this translated text very much. For whether in accor- dance with the two vital tributaries, double and triple the sequence based on the hexad agithmetic to proceed doubly by means of twelve, or triply by means of eighteen, each interval would be filled in such a way that the sequence would contain two means, the first exceeding one extreme in the same proportion as it is exceeded by the other, the second exceeding one extreme by the same number as it is exceeded by the other, 38 with the result that the sequence would admit the ratios both of sesquialter and sesquitertian inter- vals, and in either case the engendering of living creatures, which is what we are trying to explain, will completely occur.

Earth, water, air, fire, aether. The tripartite division of the human soul into rational, passionate and appetitive stems from Plato.