“Our intention in this Disme is to worke all by whole numbers: for seing that in any affayres, men reckon not of the thousandth part of a mite, grayne, &c. as the like is also used of the principall Geometricians, and Astronomers, in computacions of great consequence, as Ptolome & Johannes Monta-regio have not described their Tables of Arches, Chords, or Sines, in extreme perfection (as possibly they might have done by Multinomiall numbers,) because that imperfection (considering the scope and end of those Tables) is more convenient then such perfection.”

Disme: the Art of Tenths, Or, Decimall Arithmetike (1608)

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Simon Stevin11

Flemish scientist, mathematician and military engineer 1548–1620

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“The first Part. Of the Definitions of the Dismes. The first Definition. Disme is a kind of Arithmeticke, invented by the tenth progression, consisting in Characters of Cyphers; whereby a certaine number is described, and by which also all accounts which happen in humane affayres, are dispatched by whole numbers, without fractions or broken numbers.”

Simon Stevin (1548–1620) Flemish scientist, mathematician and military engineer

Disme: the Art of Tenths, Or, Decimall Arithmetike (1608)

“The development of Indian trigonometry, based on sine as against chord of the Greeks, a necessity for astronomical calculations with his own concise notation which expresses the full sine table in just one couplet for easy remembrance. One of the two methods suggested by him for the sine table is based on the property that the second order sine differences were proportional to sines themselves.”

Aryabhata (476–550) Indian mathematician-astronomer

In, P.245.
Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures

“Let as many Numbers, as you please, be proposed to be Combined: Suppose Five, which we will call a b c d e. Put, in so many Lines, Numbers, in duple proportion, beginning with 1. The Sum (31) is the Number of Sumptions, or Elections; wherein, one or more of them, may several ways be taken. Hence subduct (5) the Number of the Numbers proposed; because each of them may once be taken singly. And the Remainder (26) shews how many ways they may be taken in Combination; (namely, Two or more at once.) And, consequently, how many Products may be had by the Multiplication of any two or more of them so taken. But the same Sum (31) without such Subduction, shews how many Aliquot Parts there are in the greatest of those Products, (that is, in the Number made by the continual Multiplication of all the Numbers proposed,) a b c d e. For every one of those Sumptions, are Aliquot Parts of a b c d e, except the last, (which is the whole,) and instead thereof, 1 is also an Aliquot Part; which makes the number of Aliquot Parts, the same with the Number of Sumptions. Only here is to be understood, (which the Rule should have intimated;) that, all the Numbers proposed, are to be Prime Numbers, and each distinct from the other. For if any of them be Compound Numbers, or any Two of them be the same, the Rule for Aliquot Parts will not hold.”

John Wallis (1616–1703) English mathematician

Source: A Discourse of Combinations, Alterations, and Aliquot Parts (1685), Ch.I Of the variety of Elections, or Choice, in taking or leaving One or more, out of a certain Number of things proposed.

“…the use of the Disme …to teach such as doe not already know the use and practize of Numeration, and the foure principles of common Arithmetick, in whole numbers, namely, Addition, Substraction, Multiplication, & Division, together with the Golden Rule, sufficient to instruct the most ignorant in the usuall practize of this Art of Disme or Decimall Arithmeticke”

Simon Stevin (1548–1620) Flemish scientist, mathematician and military engineer

Disme: the Art of Tenths, Or, Decimall Arithmetike (1608)

“In the great body of human society it is impossible to establish unity and coordination if one part is considered perfect and the other imperfect. When the perfect functions of both parts are in operation, harmony will prevail.”

`Abdu'l-Bahá (1844–1921) Son of Bahá'u'lláh and leader of the Bahá'í Faith

Talk at All Souls Unitarian Church Fourth Avenue and Twentieth Street, New York (14 July 1912) http://reference.bahai.org/en/t/ab/PUP/pup-82.html#gr14 <br class="br">Promulgation of World Peace <br class="br">Context: In the great body of human society it is impossible to establish unity and coordination if one part is considered perfect and the other imperfect. When the perfect functions of both parts are in operation, harmony will prevail. God has created man and woman equal as to faculties. He has made no distinction between them.

“Though we have not employed the arguments usually advanced by the apologists of Christianity, we have arrived by a different chain of reasoning at the same conclusion: Christianity is perfect; men are imperfect. Now, a perfect consequence cannot spring from an imperfect principle. Christianity, therefore, is not the work of men. If Christianity is not the work of man, it can have come from none but God. If it came from God, men cannot have acquired a knowledge of it except by revelation. Therefore, Christianity is a revealed religion.”

François-René de Chateaubriand (1768–1848) French writer, politician, diplomat and historian

As translated in A Cloud of Witnesses : The Greatest Men in the World for Christ and the Book (1894) by Stephen Abbott Northrop
Le génie du Christianisme (1802)

“You can ask the question about these ancient topics, such as perfect numbers and amicable numbers… and ask, are these good problems… I'd like to give a small amount of evidence… that they are… [S]tudying them helped us develop all of elementary number theory and from elementary number theory we developed the rest of number theory, and also you can argue that from elementary number theory came algebra..”

Carl Pomerance (1944) American mathematician

"Paul Erdős and the Rise of Statistical Thinking in Elementary Number Theory" https://www.youtube.com/watch?v=5cU0g9dI1S8&t=9m40s (July, 2013) Erdős Centennial Conference, Budapest.

“Whenever like mates with like (genetically), the statistical distribution curve, which describes the frequency of the purely fortuitous combinations of genes, is flattened out, its mode is depressed, and its extremes are increased. The reduces the number of the mediocre produced and increases the numbers both of the sub-normal and the talented groups. It is possible that, without this increase in the number of extreme variants, no nation, race or group could produce enough superior individuals to maintain a complex culture. Certainly not enough to operate or advance a civilization. …Any number of social customs have stood, and still stand, in the way of an optimum amount of selective matings. In a feudal society, opportunities are denied to many able men who, consequently, never develop to the high level of their biological potential and thus they remain among the undistinguished. Such able men (and women) might also be diffused throughout an "ideal" classless society and, lacking the means to separate themselves from the generality, or to develop their peculiar talents, would be effectively swamped. In such a society they could hardly segregate in groups. In fact, only a few of the able males might ever meet an able female who appealed to them erotically. Obviously an open society—one in which the able may rise and the dim-wits sick, and where like intelligences have a greater chance of meeting and mating—has advantages that other societies do not have. Our own society today—incidentally and without design—is providing more and more opportunities for intelligent matrimonial discrimination. It is possible that our co-educational colleges, where highly-selected males and females meet when young, are as important in their function of bringing together the parents of our future superior individuals as they are in educating the present crop.”

Conway Zirkle (1895–1972)

"Some Biological Aspects of Individualism," Essays on Individuality (Philadelphia: 1958), pp. 59-61

“To take another simile [that the brain is like a machine], if we imagine a great library containing books which have a vast number of cross references one to another, then should one whole shelf be burned, it might be possible to reconstruct the lost books -- but somewhat less perfectly than at first.”

Colin Cherry (1914–1979) British scientist

Source: On Human Communication (1957), On Cognition and Recognition, p. 302

“Three is the number of those who do holy work;

Two is the number of those who do lover's work;

One is the number of those who do perfect evil

Or perfect good.”

Clive Barker book Abarat

Source: Abarat

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Simon Stevin11

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