Numbers: Their Occult Power and Mystic Virtues

Jul 30, 2012 by

#Today’s fascinating book is beyond fascinating – it is illuminating….. NUMBERS: THEIR OCCULT POWER AND MYSTIC VIRTUES by W. Wynn Westcott was originally published in 1911 and subsequently fell out of print. We are happy to be able to make this book available to you.

Here are a few paragraphs to give you a feel for the book:

“PYTHAGOREAN VIEWS ON NUMBERS. The foundation of Pythagorean Mathematics was as follows : The first natural division of Numbers is into even and ODD, an even number being one which is divisible into two equal parts, without leaving a monad between them. The ODD number, when divided into two equal parts, leaves the monad in the middle between the parts. All even numbers also (except the dyad — two — which is simply two unities) may be divided into two equal parts, and also into two unequal parts, yet so that in neither division will either parity be mingled with imparity, nor imparity with parity. The binary number two cannot be divided into two unequal parts. Thus 10 divides into 5 and 5, equal parts, also into 3 and 7, both imparities, and into 6 and 4, both parities ; and 8 divides into 4 and 4, equals and parities, and into 5 and 3, both imparities. But the ODD number is only divisible into uneven parts, and one part is also a parity and the other part an imparity ; thus 7 into 4 and 3, or 5 and 2, in both cases unequal, and odd and even.

The ancients also remarked the monad to be ” odd,” and to be  the first odd number,” because it cannot be divided into two equal numbers. Another reason they saw was that the monad, added to an even number, became an odd number, but if evens are added to evens the result is an even number. 1Aristotle, in his Pythagoric treatise, remarks that the monad partakes also of the nature of the even number, because when added to the odd it makes the even, and added to the even the odd is formed. Hence it is called ‘evenly odd.’ Archytas of Tarentum was of the same opinion. The Monad, then, is the first idea of the odd number ; and so the Pythagoreans speak of the ” two ” as the ” first idea of the indefinite dyad,” and attribute the number 2 to that which is indefinite, unknown, and inordinate in the world ; just as they adapt the monad to all that is definite and orderly.

They noted also that in the series of numbers from unity, the terms are increased each by the monad once added, and so their ratios to each other are lessened ; thus 2 is I + 1, or double its predecessor; 3 is not double 2, but 2 and the monad, sesquialter; 4 to 3 is 3 and the monad, and the ratio is sesquitertian ; the sesquiquintan 6 to 5 is less also than its forerunner, the sesquiquartan 5 and 4, and so on through the series. They also noted that every number is one half of the total of the numbers about it, in the natural series ; thus 5 is half of 6 and 4. And also of the sum of the numbers again above and below this pair ; thus 5 is also half of 7 and 3, and so on till unity is reached ; for the monad alone has not two terms, one below and one above ; it has one above it only, and hence it is said to be the ” source of all multitude.” “Evenly even” is another term applied anciently to one sort of even numbers. Such are those which divide into two equal parts, and each part divides evenly, and the even division is continued until unity is reached ; such a number is 64. These numbers form a series, in a duple ratio from unity; thus i, 2, 4, 8, 16, 32.  Evenly odd,” applied to an even number, points out that like 6, 10, 14, and 28, when divided into two equal parts, these are found to be indivisible into equal parts.”  Enjoy!

 

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