“Hesitation increases in relation to risk in equal proportion to age.”

— Ernest Hemingway

Pt. 1, Ch. 3
Papa Hemingway (1966)

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Ernest Hemingway 501

American author and journalist 1899–1961

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“Is it not apparent that the policy of sanctions involves, I do not say war, but a risk of war? Is it not apparent that that risk must increase in proportion to the effectiveness of the sanctions and also by reason of the incompleteness of the League? Is it not also apparent from what has happened that in the presence of such a risk nations cannot be relied upon to proceed to the last extremity of war unless their vital interests are threatened?”

Neville Chamberlain (1869–1940) Former Prime Minister of the United Kingdom

Speech to the 1900 Club at Grosvenor House, London (10 June 1936) on the Italo-Abyssinian War, quoted in The Times (11 June 1936), p. 10
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“On symbolic use of equalities and proportions. Chapter II.
The analytical method accepts as proven the most famous [ as known from Euclid ] symbolic use of equalities and proportions that are found in items such as:
1. The whole is equal to the sum of its parts.
2. Quantities being equal to the same quantity have equality between themselves. [a = c & b = c => a = b]
3. If equal quantities are added to equal quantities the resulting sums are equal.
4. If equals are subtracted from equal quantities the remains are equal.
5. If equal equal amounts are multiplied by equal amounts the products are equal.
6. If equal amounts are divided by equal amounts, the quotients are equal.
7. If the quantities are in direct proportion so also are they are in inverse and alternate proportion. [a:b::c:d=>b:a::d:c & a:c::b:d]
8. If the quantities in the same proportion are added likewise to amounts in the same proportion, the sums are in proportion. [a:b::c:d => (a+c):(b+d)::c:d]
9. If the quantities in the same proportion are subtracted likewise from amounts in the same proportion, the differences are in proportion. [a:b::c:d => (a-c):(b-d)::c:d]
10. If proportional quantities are multiplied by proportional quantities the products are in proportion. [a:b::c:d & e:f::g:h => ae:bf::cg:dh]
11. If proportional quantities are divided by proportional quantities the quotients are in proportion. [a:b::c:d & e:f::g:h => a/e:b/f::c/g:d/h]
12. A common multiplier or divisor does not change an equality nor a proportion. [a:b::ka:kb & a:b::(a/k):(b/k)]
13. The product of different parts of the same number is equal to the product of the sum of these parts by the same number. [ka + kb = k(a+b)]
14. The result of successive multiplications or divisions of a magnitude by several others is the same regardless of the sequential order of quantities multiplied times or divided into that magnitude.
But the masterful symbolic use of equalities and proportions which the analyst may apply any time is the following:
15. If we have three or four magnitudes and the product of the extremes is equal to the product means, they are in proportion. [ad=bc => a:b::c:d OR ac=b2 => a:b::b:c]
And conversely
10. If we have three or four magnitudes and the first is to the second as the second or the third is to the last, the product of the extremes is equal to that of means. [a:b::c:d => ad=bc OR a:b::b:c => ac=b2]
We can call a proportion the establishment of an equality [equation] and an equality [equation] the resolution of a proportion.”

François Viète (1540–1603) French mathematician

From Frédéric Louis Ritter's French Tr. Introduction à l'art Analytique (1868) utilizing Google translate with reference to English translation in Jacob Klein, Greek Mathematical Thought and the Origin of Algebra (1968) Appendix
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Letter 141: La Marquise de Merteuil to le Vicomte de Valmont. Trans. Richard Aldington (1924). http://fr.wikisource.org/wiki/Les_Liaisons_dangereuses_-_Lettre_141
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Ernest Hemingway (1899–1961) American author and journalist

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Patrick Swift (1927–1983) British artist

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Context: There is a sense, and a very exciting sense, in which art is moral. When Stendhal says a good picture is nothing but a construction in ethics, one recognises a truth about art which opens up vistas that are at the same time liberating and terrifying. The ethics of art are terrifying because real art by increasing our knowledge of ourselves increases in exactly the same proportion the ethical commitment.

“The increase in value of the world of things is directly proportional to the decrease in value of the human world.”

Karl Marx (1818–1883) German philosopher, economist, sociologist, journalist and revolutionary socialist

Source: Economic & Philosophic Manuscripts of 1844/The Communist Manifesto

“Hesitation increases in relation to risk in equal proportion to age.”

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Ernest Hemingway 501

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