Quotes about quantity
A collection of quotes on the topic of quantity, use, time, timing.
Quotes about quantity

As quoted in If Not God, Then What?
Source: If Not God, Then What? (2007) by Joshua Fost, p. 93

First Memoir.
The Mechanical Theory of Heat (1867)

1777; quoted by Bert L. Vallée, Alcohol in the Western World, Scientific American, Vol. 278, No. 6 (June), 1998, pp. 80-85

Dans Les Leçons Élémentaires sur les Mathématiques (1795) Leçon cinquiéme, Tr. McCormack, cited in Moritz, Memorabilia mathematica or, The philomath's quotation-book (1914) Ch. 15 Arithmetic, p. 261. https://archive.org/stream/memorabiliamathe00moriiala#page/260/mode/2up

Source: 1840s, The Mathematical Analysis of Logic, 1847, p. i: Lead paragraph of the Preface; cited in: R. H. Hutton, " Professor Boole http://books.google.com/books?id=pfMEAAAAQAAJ&pg=PA157," (1866), p. 157
Context: In presenting this Work to public notice, I deem it not irrelevant to observe, that speculations similar to those which it records have, at different periods, occupied my thoughts. In the spring of the present year my attention was directed to the question then moved between Sir W. Hamilton and Professor De Morgan; and I was induced by the interest which it inspired, to resume the almost-forgotten thread of former inquiries. It appeared to me that, although Logic might be viewed with reference to the idea of quantity, it had also another and a deeper system of relations. If it was lawful to regard it from without, as connecting itself through the medium of Number with the intuitions of Space and Time, it was lawful also to regard it from within, as based upon facts of another order which have their abode in the constitution of the Mind. The results of this view, and of the inquiries which it suggested, are embodied in the following Treatise.

“Quantity has a quality all its own.”
No evidence that this phrasing is due to Stalin, and it does not appear in English translations of his philosphical works. Earliest English is found in 1979 in US defense industry, presumably defense consultant Thomas A. Callaghan Jr. The connection of sufficient quantitative change leading to qualitative change is found in Marxist philosophy, by Marx and Engels, drawing from Hegelian philosophy and Ancient Greek philosophy. Marx and Engels are quoted by Stalin, but this formulation appears to be a modern American form; see quantity for details.
Stalin may have said that way before World War II, there is evidence in his Russian-language books, for example here http://www.modernlib.ru/books/stalin_iosif_vissarionovich/tom_14/read_16/.
Misattributed
Variant: Quantity is quality.
Source: Re: "Quantity has a quality all its own" source? http://h-net.msu.edu/cgi-bin/logbrowse.pl?trx=vx&list=h-russia&month=1004&week=a&msg=ljEwsM4dMrpmUGVfI7EGqg, Tim Davenport, h-russia https://networks.h-net.org/h-russia, April 5, 2010

“I must have a prodigious quantity of mind; it takes me as much as a week sometimes to make it up.”
Source: The Innocents Abroad (1869), Ch. 7

“Alcohol, taken in sufficient quantities, may produce all the effects of drunkenness.”

From the preface to Elementary Principles in Statististical Mechanics (1902), p. viii. Full book https://archive.org/details/elementaryprinc00gibbgoog

“To me, it's always about quality not quantity.”
Lee explaining why she's not releasing her music "too often" in the show small talk

The Notebooks of Leonardo da Vinci (1883), VII On the Proportions and on the Movements of the Human Figure

Letter to Giovanni Battista Baliani (1639)
"The Paradox of Our Age"; these statements were used in World Wide Web hoaxes which attributed them to various authors including George Carlin, a teen who had witnessed the Columbine High School massacre, the Dalai Lama and Anonymous; they are quoted in "The Paradox of Our Time" at Snopes.com http://www.snopes.com/politics/soapbox/paradox.asp
Words Aptly Spoken (1995)

“Every quantity is intellectually conceivable as infinitely divisible.”
The Notebooks of Leonardo da Vinci (1883), XIX Philosophical Maxims. Morals. Polemics and Speculations.

"Über unendliche, lineare Punktmannigfaltigkeiten" in Mathematische Annalen 20 (1882) <!-- pp 113-121 --> Quoted in "Cantor's Grundlagen and the paradoxes of Set Theory" by William W. Tait

“If Atomes are as small, as small can bee,
They must in quantity of Matter all agree.”
'The weight of Atomes', in The Atomic Poems of Margaret (Lucas) Cavendish, Duchess of Newcastle, from her Poems, and Fancies, 1653, an electronic edition. Edited with an introduction by Leigh Tillman Partington. http://womenwriters.digitalscholarship.emory.edu/toc.php?id=atomic

"Recollections of an Exciting Era," three lectures given at Varenna, 5 August 1972, quoted in Peter Galison, "The Suppressed Drawing: Paul Dirac's Hidden Geometry", Representations, No. 72 (Autumn, 2000)

General Relation of the Concept System of Thesis and Antithesis
Gesammelte Mathematische Werke (1876)
Source: The Sociology of Secrecy and of Secret Societies (1906), p. 441: First lines of the article.

First Memoir. On the Moving Force of Heat and the Laws which may be Deduced Therefrom
The Mechanical Theory of Heat (1867)

The World at War: the Landmark Oral History from the Classic TV Series (2007) by Richard Holmes, p. 298

"A Spur for a Free Horse" in The Sword and the Trowel (February, 1866) http://www.spurgeon.org/s_and_t/spur.htm

Letter to Lillian D. Clark (29 March 1926), quoted in Lord of a Visible World: An Autobiography in Letters edited by S. T. Joshi, p. 186
Non-Fiction, Letters

P.A.M. Dirac, "Pretty Mathematics," International Journal of Theoretical Physics, Vol. 21, Issue 8–9, August 1982, p. 603 http://link.springer.com/article/10.1007/BF02650229#page-1

The Notebooks of Leonardo Da Vinci (1938), XXIX Precepts of the Painter

Vol. I, Ch. 15, Section 2, pg. 430.
(Buch I) (1867)

John Cumming trans., p. 7
Dialektik der Aufklärung [Dialectic of Enlightenment] (1944)

The Free Market and Its Enemies, speech to the Foundation for Economic Education https://fee.org/library/books/the-free-market-and-its-enemies/ (1951)

ABC News interview (16 August 2006)

Tighe Hopkins in The Women Napoleon Loved
About

Letter to James F. Morton (6 November 1930), in Selected Letters III, 1929-1931 edited by August Derleth and Donald Wandrei, p. 207
Non-Fiction, Letters, to James Ferdinand Morton, Jr.

Theoria motus corporum coelestium in sectionibus conicis solem ambientum (1809) Tr. Charles Henry Davis as Theory of the Motion of the Heavenly Bodies moving about the Sun in Conic Sections http://books.google.com/books?id=cspWAAAAMAAJ& (1857)
Context: The principle that the sum of the squares of the differences between the observed and computed quantities must be a minimum may, in the following manner, be considered independently of the calculus of probabilities. When the number of unknown quantities is equal to the number of the observed quantities depending on them, the former may be so determined as exactly to satisfy the latter. But when the number of the former is less than that of the latter, an absolutely exact agreement cannot be obtained, unless the observations possess absolute accuracy. In this case care must be taken to establish the best possible agreement, or to diminish as far as practicable the differences. This idea, however, from its nature, involves something vague. For, although a system of values for the unknown quantities which makes all the differences respectively less than another system, is without doubt to be preferred to the latter, still the choice between two systems, one of which presents a better agreement in some observations, the other in others, is left in a measure to our judgment, and innumerable different principles can be proposed by which the former condition is satisfied. Denoting the differences between observation and calculation by A, A’, A’’, etc., the first condition will be satisfied not only if AA + A’ A’ + A’’ A’’ + etc., is a minimum (which is our principle) but also if A4 + A’4 + A’’4 + etc., or A6 + A’6 + A’’6 + etc., or in general, if the sum of any of the powers with an even exponent becomes a minimum. But of all these principles ours is the most simple; by the others we should be led into the most complicated calculations.

Speech at MIT (1985), referring to his brother Bernard Vonnegut, and the choices available to scientists and the intelligent, to serve humanity, or to betray it, as published in Fates Worse Than Death (1991), Ch. 12
Various interviews
Context: My brother got his doctorate in 1938, I think. If he had gone to work in Germany after that, he would have been helping to make Hitler's dreams come true. If he had gone to work in Italy, he would have been helping to make Mussolini's dreams come true. If he had gone to work in Japan, he would have been helping to make Tojo's dreams come true. If he had gone to work in the Soviet Union, he would have been helping to make Stalin's dreams come true. He went to work for a bottle manufacturer in Butler, Pennsylvania, instead. It can make quite a difference not just to you but to humanity: the sort of boss you choose, whose dreams you help come true.
Hitler dreamed of killing Jews, Gypsies, Slavs, homosexuals, Communists, Jehovah's Witnesses, mental defectives, believers in democracy, and so on, in industrial quantities. It would have remained only a dream if it hadn't been for chemists as well educated as my brother, who supplied Hitler's executioners with the cyanide gas known as Zyklon B. It would have remained only a dream if architects and engineers as capable as my father and grandfather hadn't designed extermination camps — the fences, the towers, the barracks, the railroad sidings, and the gas chambers and crematoria — for maximum ease of operation and efficiency.

The Substitution of Similars, The True Principles of Reasoning (1869)
Context: Aristotle's dictim... may then be formulated somewhat as follows:—Whatever is known of a term may be stated of its equal or equivalent. Or, in other words, Whatever is true of a thing is true of its like.... the value of the formula must be judged by its results;... it not only brings into harmony all the branches of logical doctrine, but... unites them in close analogy to the corresponding parts of mathematical method. All acts of mathematical reasoning may... be considered but as applications of a corresponding axiom of quantity...

“Q, which would include quantity of space or time or force, in fact almost any kind of quantity.”
Preface To The Second Edition, p. 6.
The Theory of Political Economy (1871)
Context: A correspondent, Captain Charles Christie R. E., to whom I have shown these sections after they were printed, objects reasonably enough that commodity should not have been represented by M, or Mass, but by some symbol, for instance Q, which would include quantity of space or time or force, in fact almost any kind of quantity.

Arithmetica Universalis (1707)
Context: Whereas in Arithmetick Questions are only resolv'd by proceeding from given Quantities to the Quantities sought, Algebra proceeds in a retrograde Order, from the Quantities sought as if they were given, to the Quantities given as if they were sought, to the End that we may some Way or other come to a Conclusion or Æquation, from which one may bring out the Quantity sought. And after this Way the most difficult problems are resolv'd, the Resolutions whereof would be sought in vain from only common Arithmetick. Yet Arithmetick in all its Operations is so subservient to Algebra, as that they seem both but to make one perfect Science of Computing; and therefore I will explain them both together.<!--pp.1-2

Source: Lectures on Quantum Mechanics (2012, 2nd ed. 2015), Ch. 1: Historical Introduction

Grundrisse (1857-1858)
Source: Notebook VII, The Chapter on Capital, pp. 628–629.

Interview All Songs Considered, NPR, May 20, 2008
“Nature had squandered an unreasonable quantity of male beauty on this undeserving creature.”
Source: Devil in Winter

Source: On Becoming a Person: A Therapist's View of Psychotherapy

“Culture is perishing in overproduction, in an avalanche of words, in the madness of quantity.”
Source: The Unbearable Lightness of Being
Source: Education of a Wandering Man
Source: I Never Promised You a Rose Garden
Source: Eternal Echoes: Celtic Reflections on Our Yearning to Belong

“Quantity produces quality. If you only write a few things, you're doomed.”

(1921, p. 10); Diemer quotes the ASCM committee
Factory organization and administration, 1910

Letter to George Washington (November 1779)
Source: Mind and Nature: A Necessary Unity, 1979, p. 56

Financial Times [UK] (7 June 2003)
Source: Principles of Gestalt Psychology, 1935, p. 21-22
Source: Beyond Modern Sculpture, 1968, p. 369-70

p, 125
Geometrical Lectures (1735)

Summarizing the Law of Conservation of Force, in "On the Conservation of Force" (1862), p. 280
Popular Lectures on Scientific Subjects (1881)

Source: (1776), Book IV, Chapter II

Reflections on the Motive Power of Heat (1824)
Hermann Bondi (1980), Relativity and Common Sense: A New Approach to Einstein, p. 65

Speech at Hawarden (5 January 1884), quoted in Gladstone as Financier and Economist (1931) by F. W. Hirst, p. 258
1880s
Geometry as a Branch of Physics (1949)

Source: An Essay on The Principle of Population (First Edition 1798, unrevised), Chapter V, paragraph 3, lines 5-8
Bateson (1978) " Number is Different from Quantity http://www.oikos.org/batesnumber.htm". In: CoEvolution Quarterly, Spring 1978, pp. 44-46

A Memoir on Algebraic Equations, Proving the Impossibility of a Solution of the General Equation of the Fifth Degree (1824) Tr. W. H. Langdon, as quote in A Source Book in Mathematics (1929) ed. David Eugene Smith

John Cumming trans., p. 7.
Dialektik der Aufklärung [Dialectic of Enlightenment] (1944)

Davies v. Davies (1887), L. R. 36 C. D. 364; see also Egerton v. Earl Brownlow, 4 H. L. C. 1.

Source: Theory of Economic Dynamics (1965), Chapter 6, The Short Term Rate of Interest, p. 73

Speech http://teachingamericanhistory.org/library/document/the-nations-problem/

“We are a little piece of continual change, looking at an infinite quantity of continual change.”
Source: Light on Life: The Yoga Journey to Wholeness, Inner Peace, and Ultimate Freedom, p. 7

Undated letter at Godfrey Higgins http://burghwallis.com/village/articles/higgins.htm biography.

Orot Yisrael, Ch. 5, article 10, p. 156; as quoted in "The Distinction between Jews and Gentiles in Torah" by Rabbi David Bar Chaim http://www.daatemet.org.il/articles/article.cfm?article_id=119&lang=en
Variant:
The dissimilarity between the Jewish soul, in all its independence, inner desires, longings, character and standing vis-à-vis the soul of all the Gentiles — on all of their levels — is greater and deeper than the difference between the soul of a man and the soul of an animal, for the difference in the latter case is one of quantity, while the difference in the first case is one of essential quality
As quoted in "A British Synagogue Bans a Famous Hassidic Text!" (February 2010) by Rabbi Michael Leo Samuel http://rabbimichaelsamuel.com/2010/02/2744/#_ftn1.
Orot