Quotes about variable
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“[ John Rawls's] Theory of Justice begins with this assertion: “Justice is the first virtue of social institutions, as truth is of systems of thought. A theory however elegant and economical must be rejected or revised if it is untrue; likewise laws and institutions no matter how efficient and well-arranged must be reformed or abolished if they are unjust …. Truth and justice are uncompromising” (p. 3). How, one might ask. do we know that justice has this preeminence? Rawls’s second basic claim is that we have a particular kind of access to this preeminence: we have an “intuitive conviction of the primacy of justice” (p. 4) over all other considerations including welfare, efficiency, democratic choice, transparency, dignity, international competitiveness, or freedom, and, of course, over any rooted moral, philosophical, or religious conceptions. There is no account of where these intuitions came from, whether they might be in any way historically or sociologically variable, or what role they play in society.”

Raymond Geuss book Philosophy and Real Politics

Source: Philosophy and Real Politics (2008), pp. 70-71.

Truth, Justice, Law, Way

“It is naïve to think that a [computer] model can predict future events on the Earth. To try to predict the future based on just one variable (CO2) in extraordinarily complex natural systems is folly.”

Ian Plimer book Heaven and Earth

Heaven and Earth (2009)

Nature, Thinking, Future

“In the period 1965 - 69, the U. S. Arms Control and Disarmament Agency employed a group of about ten young game theorists as consultants. It was as a member of this group that I developed the simpler approach, already mentioned, to the analysis of I-games.
I realized that a major problem in arms control negotiations is the fact that each side is relatively well informed about its own position with respect to various variables relevant to arms control negotiations, such as its own policy objectives, its peaceful or bellicose attitudes toward the other side, its military strength, its own ability to introduce new military technologies, and so on - but may be rather poorly informed about the other side's position in terms of such variables.
I came to the conclusion that finding a suitable mathematical representation for this particular problem may very well be a crucial key to a better theory of arms control negotiations, and indeed to a better theory of all I-games.”

John Harsanyi (1920–2000) hungarian economist

Source: "Games with Incomplete Information," 1997, p. 138

Peace, Game, Mathematics, Problem

“The potential infinite means nothing other than an undetermined, variable quantity, always remaining finite, which has to assume values that either become smaller than any finite limit no matter how small, or greater than any finite limit no matter how great.”

Georg Cantor (1845–1918) mathematician, inventor of set theory

"Mitteilungen" (1887-8)

“I am not saying that such a theory cannot be constructed, but only that I cannot see how to do it in any way that might be useful. The decisive point, anyway, is that a macrotheory of international politics would lack the practical implications of macroeconomic theory. National governments can manipulate system-wide economic variables. No agencies with comparable capabilities exist internationally. Who would act on the possibilities of adjustment that a macrotheory of international politics might reveal?”

Kenneth N. Waltz book Theory of International Politics

Source: Theory of International Politics (1979), p. 110

Way, Decision

“It is to be hoped, also, that the parallaxes of some variables of this type may be measured.”

Henrietta Swan Leavitt (1868–1921) astronomer

Periods of 25 Variable Stars in the Small Magellanic Cloud http://adsabs.harvard.edu/abs/1912HarCi.173....1L (1912)

Hope

“Every creature, every work of God, is admirably well made; but if any one appears imperfect in our eyes, it does not belong to us to criticise it. Perhaps that which we do not find right in its kind, turns to our advantage, without our being able to perceive it. Let us look at the state of the heavens, one while the sun shines, another time it does not appear; now the weather is fine; again it is unpleasant; one day is hot, another is cold; another time it is rainy, snowy or cloudy; every thing is variable and inconstant. Let us look at the surface of the earth: here the ground is flat; there it is hilly and mountainous; in other places it is sandy; in others it is barren; and elsewhere it is productive. Let us, in thought, go into an orchard or forest. What do we see? Trees high or low, large or small, upright or crooked, fruitful or unfruitful. Let us look at the birds of the air, and at the fishes of the sea, nothing resembles another thing. Let us look at the beasts. We see among the same kinds some of different forms, of different dimensions, domestic or wild, harmless or ferocious, useful or useless, pleasing or hideous. Some are bred for men's sakes; some for their own pleasures and amusements; some are of no use to us. There are faults in their organization as well as in that of men. Those who are acquainted with the veterinary art, know this well; but as for us who have not made a study of this science, we seem not to discover or remark these faults. Let us now come to ourselves. Our intellectual faculties as well as our corporeal organization have their imperfections. There are faculties both of the mind and heart, which education improve; there are others which it does not correct. I class in this number, idiotism, imbecility, dulness. But nothing can correct the infirmities of the bodily organization, such as deafness, blindness, lameness, palsy, crookedness, ugliness. The sight of a beautiful person does not make another so likewise, a blind person does not render another blind. Why then should a deaf person make others so also? Why are we Deaf and Dumb? Is it from the difference of our ears? But our ears are like yours; is it that there may be some infirmity? But they are as well organized as yours. Why then are we Deaf and Dumb? I do not know, as you do not know why there are infirmities in your bodies, nor why there are among the human kind, white, black, red and yellow men. The Deaf and Dumb are everywhere, in Asia, in Africa, as well as in Europe and America. They existed before you spoke of them and before you saw them.”

Laurent Clerc (1785–1869) French-American deaf educator

Statement of 1818, quoted in Through Deaf Eyes: A Photographic History of an American Community (2007) by Douglas C. Baynton, Jack R. Gannon, and Jean Lindquist Bergey

Men, God, Pleasure, Education

“The equilibrium price level is determined at the point where the money market is in equilibrium. The temporary suspension of Walras' Law, far from making economic nonsense, thus appears as the crucial "trick" by which the tatonnement process is decomposed in two parts.
This analysis confirms that for a neoclassical general equilibrium system with neutral money there is indeed a consistent decomposition procedure, based on appropriate compensation principles, permitting the determination of real variables in the real sector while the price level is determined in the monetary sector. However, the amount of intellectual effort which, in the wake of Lange and Patinkin, was devoted to this issue, is entirely out of proportion to its economic significance. The real economic question is not whether a system can be dichotomized, but whether money is neutral.”

Jürg Niehans (1919–2007) Swiss economist

Source: The theory of money, 1978, p. 12

Money, Law, Question, Effort

“Part of the downfall came early and on theoretical grounds, with the realization that real-world information lags for aggregate variables like the price level and money supply were much too short to rationalize the persistent multiyear deviations from equilibrium that seemed to characterize business cycles in most industrialized countries. The second dubious assumption, continuous market clearing, was viewed more critically once it was recognized that it was not an inextricable concomitant of rational expectations, especially when Stanley Fischer (1977) and Edmund Phelps and John Taylor (1977) showed that rational expectations could be embedded in a model containing real-world institutional features like multiperiod wage and price contracts to generate nonmarket-clearing behavior. Once Fischer and Phelps-Taylor had shown that rational expectations by itself was a necessary but not a sufficient condition to validate new-classical policy conclusions, the race was on to develop the new-Keynesian theory based on rational expectations and one or another institutional impediment to continuous market clearing.”

Robert J. Gordon (1940) American economist

"Fresh Water, Salt Water, and other Macroeconomic Elixirs", 1989

Money, World, Behavior, Business

“O, Woman! in our hours of ease,
Uncertain, coy, and hard to please,
And variable as the shade
By the light quivering aspen made;
When pain and anguish wring the brow,
A ministering angel thou!”

Walter Scott Marmion

Canto VI, st. 30.
Marmion (1808)

Pain, Angels, Light

“In the abstract world of American economists, equations run both ways; they believe that by changing the sign of a variable from plus to minus or from minus to plus or the price and quantity of x or y, the direction of historical movement can be reversed.”

Robert Gilpin (1930–2018) Political scientist

Source: The Political Economy of International Relations (1987), Chapter Eight, International Finance, p. 336

World, Way, Change

“I want to tell you how I got to be a statistician. I was, of course, born in England and in 1939… when war broke out in September of that year, although I was close to getting a degree in Chemistry, I abandoned that and joined the Army. They put me in the Engineers (and when I see a bridge I still catch myself calculating where I would put the charges to blow it up).
Before I could actually do any of that I was moved to a highly secret experimental station in the south of England. At the time they were bombing London every night and our job was to help to find out what to do if, one night, they used poisonous gas.
Some of England's best scientists were there. There were a lot of experiments with small animals, I was a lab assistant making biochemical determinations, my boss was a professor of physiology dressed up as a colonel, and I was dressed up as a staff sergeant.
The results I was getting were very variable and I told my colonel that what we really needed was a statistician.
He said "we can't get one, what do you know about it?"”

George E. P. Box (1919–2013) British statistician

I said "Nothing, I once tried to read a book about it by someone called R. A. Fisher but I didn't understand it". He said "You've read the book so you better do it", so I said, "Yes sir"
An Accidental Statistician, 2010

War, Secret, Books, Understanding

“Before we can proceed to a formal definition of conflict we must examine another concept, that of behavior space. The position of a behavior unit at a moment of time is defined by a set of values (subset, to be technical) of a set of variables that defines the behavior unit. These variables need not be continuous or quantitatively measurable. The different values of a variable must, however, be capable of simple ordering; that is, of any two values it must be possible to say that one is 'after' (higher, lefter, brighter than) the other.”

Kenneth E. Boulding (1910–1993) British-American economist

Peace Science Society (International) (1975) Papers - Volumes 24-29. p. 53 summarized: "Boulding begins by explaining what he believes are the four basic concepts to describe a conflict in an analytical way : (1) the party; (2) the behavior space; (3) competition; (4) conflict."
Source: 1960s, Conflict and defense: A general theory, 1962, p. 3

Behavior, Time

“If biologists have ignored self-organization, it is not because self-ordering is not pervasive and profound. It is because we biologists have yet to understand how to think about systems governed simultaneously by two sources of order. Yet who seeing the snowflake, who seeing simple lipid molecules cast adrift in water forming themselves into cell-like hollow lipid vesicles, who seeing the potential for the crystallization of life in swarms of reacting molecules, who seeing the stunning order for free in networks linking tens upon tens of thousands of variables, can fail to entertain a central thought: if ever we are to attain a final theory in biology, we will surely, surely have to understand the commingling of self-organization and selection. We will have to see that we are the natural expressions of a deeper order. Ultimately, we will discover in our creation myth that we are expected after all.”

Stuart Kauffman (1939) American biophysicist

Source: At Home in the Universe: The Search for the Laws of Self-Organization and Complexity (1996), p.112

Life, Understanding, Nature, Thinking

“The impressions received by the two observers A0 and A would be alike in all respects. It would be impossible to decide which of them moves or stands still with respect to the ether, and there would be no reason for preferring the times and lengths measured by the one to those determined by the other, nor for saying that either of them is in possession of the "true" times or the "true" lengths. This is a point which Einstein has laid particular stress on, in a theory in which he starts from what he calls the principle of relativity, i. e., the principle that the equations by means of which physical phenomena may be described are not altered in form when we change the axes of coordinates for others having a uniform motion of translation relatively to the original system.
I cannot speak here of the many highly interesting applications which Einstein has made of this principle. His results concerning electromagnetic and optical phenomena …agree in the main with those which we have obtained… the chief difference being that Einstein simply postulates what we have deduced, with some difficulty and not altogether satisfactorily, from the fundamental equations of the electromagnetic field. By doing so, he may certainly take credit for making us see in the negative result of experiments like those of Michelson, Rayleigh and Brace, not a fortuitous compensation of opposing effects, but the manifestation of a general and fundamental principle.
Yet, I think, something may also be claimed in favour of the form in which I have presented the theory. I cannot but regard the ether, which can be the seat of an electromagnetic field with its energy and vibrations, as endowed with a certain degree of substantiality, however different it may be from all ordinary matter. …it seems natural not to assume at starting that it can never make any difference whether a body moves through the ether or not, and to measure distances and lengths of time by means of rods and clocks having a fixed position relatively to the ether.
It would be unjust not to add that, besides the fascinating boldness of its starting point, Einstein's theory has another marked advantage over mine. Whereas I have not been able to obtain for the equations referred to moving axes exactly the same form as for those which apply to a stationary system, Einstein has accomplished this by means of a system of new variables slightly different from those which I have introduced.”

Hendrik Lorentz (1853–1928) Dutch physicist

Source: The Theory of Electrons and Its Applications to the Phenomena of Light and Radiant Heat (1916), Ch. V Optical Phenomena in Moving Bodies.

Nature, Thinking, Change, Time

“Convictions are variable; to be always consistent is to be sometimes dishonest.”

Ambrose Bierce (1842–1914) American editorialist, journalist, short story writer, fabulist, and satirist

Source: Epigrams, p. 367

“The management science approach to organizational decision making is the analog to the rational approach by individual managers. Management science came into being during World War II. At that time, mathematical and statistical techniques were applied to urgent, large-scale military problems that were beyond the ability of individual decision makers. Mathematicians, physicists, and operations researchers used systems analysis to develop artillery trajectories, antisubmarine strategies, and bombing strategies such as salvoing (discharging multiple shells simultaneously). Consider the problem of a battleship trying to sink an enemy ship several miles away. The calculation for aiming the battleship's guns should consider distance, wind speed, shell size, speed and direction of both ships, pitch and roll of the firing ship, and curvature of the earth. Methods for performing such calculations using trial and error and intuition are not accurate, take far too long, and may never achieve success.
This is where management science came in. Analysts were able to identify the relevant variables involved in aiming a ship's guns and could model them with the use of mathematical equations. Distance, speed, pitch, roll, shell size, and so on could be calculated and entered into the equations. The answer was immediate, and the guns could begin firing. Factors such as pitch and roll were soon measured mechanically and fed directly into the targeting mechanism. Today, the human element is completely removed from the targeting process. Radar picks up the target, and the entire sequence is computed automatically.”

Richard L. Daft (1964) American sociologist

Source: Organization Theory and Design, 2007-2010, p. 500

War, World, Error, Mathematics

“More generally, the hidden variable account of a given system becomes entirely different when we remember that it has undoubtedly interacted with numerous other systems in the past and that the total wave function will certainly not be factorable. The same effect complicates the hidden variable account of the theory of measurement, when it is desired to include part of the 'apparatus' in the system. Bohm of course was well aware of these features of his scheme, and has given them much attention. However, it must be stressed that, to the present writer's knowledge, there is no proof that any hidden variable account of quantum mechanics must have this extraordinary character. It would therefore be interesting, perhaps, to pursue some further 'impossibility proofs,' replacing the arbitrary axioms objected to above by some condition of locality, or of separability of distant systems.”

John S. Bell (1928–1990) Northern Irish physicist

On the problem of hidden variables in quantum mechanics (1966)

Knowledge, Distant, Past, Parting

“The military front in its traditional meaning has disappeared and has been replaced by something structurally different. As a result of a set of variables such as globalisation, information technology, international finance, etc., we have now moved from a geopolitics based on space to a geopolitics based on flows.”

Corrado Maria Daclon (1963) Italian journalist and scientist

From Geopolitics of Environment, A Wider Approach to the Global Challenges, La Comunità Internazionale, no. 4, (2007)

“Phys. I know that it is often a help to represent pressure and volume as height and width on paper; and so geometry may have applications to the theory of gases. But is it not going rather far to say that geometry can deal directly with these things and is not necessarily concerned with lengths in space?
Math. No. Geometry is nowadays largely analytical, so that in form as well as in effect, it deals with variables of an unknown nature. …It is literally true that I do not want to know the significance of the variables x, y, z, t that I am discussing. …
Phys. Yours is a strange subject. You told us at the beginning that you are not concerned as to whether your propositions are true, and now you tell us you do not even care to know what you are talking about.
Math.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

That is an excellent description of Pure Mathematics, which has already been given by an eminent mathematician <nowiki>[</nowiki>Bertrand Russell<nowiki>]</nowiki>.
Space, Time and Gravitation (1920)

Mathematics, Nature, Help

“Simple calculations based on a range of variables are better than elaborate ones based on limited input.”

Ralph Brazelton Peck (1912–2008) American civil engineer

as taken by Professor Ralph Peck's Legacy Website http://peck.geoengineer.org/words.html#

“Euclidean geometry can be easily visualized; this is the argument adduced for the unique position of Euclidean geometry in mathematics. It has been argued that mathematics is not only a science of implications but that it has to establish preference for one particular axiomatic system. Whereas physics bases this choice on observation and experimentation, i. e., on applicability to reality, mathematics bases it on visualization, the analogue to perception in a theoretical science. Accordingly, mathematicians may work with the non-Euclidean geometries, but in contrast to Euclidean geometry, which is said to be "intuitively understood," these systems consist of nothing but "logical relations" or "artificial manifolds". They belong to the field of analytic geometry, the study of manifolds and equations between variables, but not to geometry in the real sense which has a visual significance.”

Hans Reichenbach (1891–1953) American philosopher

The Philosophy of Space and Time (1928, tr. 1957)

Mathematics, Reality, Sense, Study

“The channels of human mental development… are circuitous and variable. Rather than specify a single trait, human genes prescribe the capacity to develop a certain array of traits.”

Edward O. Wilson book On Human Nature

On Human Nature (1978), Ch.3 Development

“The new institutionalism in organization theory and sociology comprises a rejection of rational-actor models, and interest in institutions as independent variables, a turn toward cognitive and cultural explanations, and an interest in properties of supra-individual units of analysis that cannot be reduced to aggregations or direct consequences of individual’s attributes or motives.”

Paul DiMaggio (1951) American sociologist

Source: Introduction to The New Institutionalism and Organizational Analysis, 1991, p. 8

Motivation

“Geography is concerned to provide accurate, orderly, and rational description and interpretation of the variable character of the earth surface.”

Richard Hartshorne (1899–1992) American Geographer

Source: Perspective on the nature of geography (1958), p. 21

“Given my present belief in the much greater range of variability as to both order and kind of complexity in the world's musics versus the world's languages, I can hardly imagine how a model developed really satisfactorily for the detailed structureal explanation of one musical language is so easiy modified to another, and all the more so if the original model be evolved from linguistics rather than from the musical disciplines.”

Harold Powers (1928–2007) American academic

Harold Powers, "Language Models and Musical Analysis", p.48.

World, Music, Imagination

“In other words, there are in administration things analogous to, if not identical with, the mechanical tracts or deterministic sequence, of physics. If, for example, it is decided by government to accomplish the purpose of providing compensation at given rates for men and women employed in industry who sustain injuries in connection with their occupations, the administrator can, like the engineer, estimate in advance the probable cost of such a design, indicate the types of officers and employees necessary to administer the design, and the administrative procedures appropriate to the whole process from beginning to end. And, as in the case of the hydro-electric engineer, the administrator, later sees the results of his operations and can compare them with his advance estimates. There are more variables and incalculables in human affairs than in hydroelectric affairs, but even so administration achieves pre-determined results with an approximation which is often amazing for its exactness. If administrative designs and estimates were not realized in practice with a high degree of exactness, both industry and government would collapse.”

Charles A. Beard (1874–1948) American historian

Source: Philosophy, Science and Art of Public Administration (1939), p. 661

Women, Men

“That mysterious independent variable of political calculation, Public Opinion.”

Thomas Henry Huxley (1825–1895) English biologist and comparative anatomist

"Universities, Actual and Ideal" (1874) http://aleph0.clarku.edu/huxley/CE3/U-Ac-I.html 1870s

“The lower animals, like man, manifestly feel pleasure and pain, happiness and misery. Happiness is never better exhibited than by young animals, such as puppies, kittens, lambs, &c., when playing together, like our own children. Even insects play together, as has been described by that excellent observer, P. Huber, who saw ants chasing and pretending to bite each other, like so many puppies.
The fact that the lower animals are excited by the same emotions as ourselves is so well established, that it will not be necessary to weary the reader by many details. Terror acts in the same manner on them as on us, causing the muscles to tremble, the heart to palpitate, the sphincters to be relaxed, and the hair to stand on end. Suspicion, the offspring of fear, is eminently characteristic of most wild animals. Courage and timidity are extremely variable qualities in the individuals of the same species, as is plainly seen in our dogs. Some dogs and horses are ill-tempered and easily turn sulky; others are good-tempered; and these qualities are certainly inherited.”

Charles Darwin book The Descent of Man, and Selection in Relation to Sex

volume I, chapter II: "Comparison of the Mental Powers of Man and the Lower Animals", pages 39-40 http://darwin-online.org.uk/content/frameset?pageseq=52&itemID=F937.1&viewtype=image The Descent of Man (1871)

Pain, Happiness, Children, Pleasure

“Mathematical maturity is anyhow an uncertain concept, for the mind’s natural competence seems to change with age, its purview variable.”

Robert Langlands (1936) Canadian mathematician

Source: "Mathematical retrospections," 2013, p. 142

Age, Mathematics, Nature, Change

“Universal coding for computers is sought that uses relative addresses and a pseudocode and that assembles and translates, printing out a directory of final addresses of key commands, variables, and constants.”

Saul Gorn (1912–1992) computer scientist

Saul Gorn (1954) Planning Universal Semi-Automatic Coding

Universe

“It is easily observable that different groups judge different things to be deviant. This should alert us to the possibility that the person making the judgment of deviance, the process by which that judgment is arrived at, and the situation in which it is made may all be intimately involved in the phenomenon of deviance. To the degree that the common-sense view of deviance and the scientific theories that begin with its premises assume that acts that break rules are inherently deviant and thus take for granted the situations and processes of judgment, they may leave out an important variable.”

Howard S. Becker (1928) American sociologist

Source: Outsiders: Studies in the Sociology of Deviance (1963), p. 4.

Sense, Personality

“In our variable climate where [all] the seasons are recognizable in one day, where all the vapoury turbulence involves the face of things, where nature seems to sport in all: her dignity and dispensing incidents for the artist’s study.... how happily is the landscape painter situated, how roused by every change in nature in every moment, that allows no languor even in her effects which she places before him, and demands most peremptorily every moment his admiration and investigation, to store his mind with every change of time and place.”

J.M.W. Turner (1775–1851) British Romantic landscape painter, water-colourist, and printmaker

Quote from Turner's lectures, 1811; as cited in Life and Work of J.M.W. Turner, Andrew Wilton; London: Academy Editions, 1979; as quoted in 'A brief history of weather in European landscape art', John E. Thornes, in Weather Volume 55, Issue 10 Oct. 2000, p. 367-368
In 1811 already Turner gave his first lectures as Professor of Perspective; in one of his lectures he spoke of the advantages of the British climate for landscape artists
1795 - 1820

Nature, Sport, Study, Change

“One might say psychological processes such as motives, intentions, sentiments, etc., are the core processes which manifest themselves in overt behavior and expression in many variable ways.”

Fritz Heider (1896–1988) German psychologist

Source: The psychology of interpersonal relations, 1958, p. 34

Way, Behavior, Motivation

“An international system consists of a group of interacting behavior units called "nations" or "countries," to which may sometimes be added certain supra-national organizations, such as the United Nations. Each of the behavior units in the system can be described in terms of a set of "relevant variables." Just what is relevant and what is not is a matter of judgment of the system-builder, but we think of such things as states of war or peace, degrees of hostility or friendliness, alliance or enmity, arms budgets, geographic extent, friendly or hostile communications, and so on. Having defined our variables, we can then proceed to postulate certain relationships between them, sufficient to define a path for all the variables through time. Thus we might suppose, with Lewis Richardson that the rate of change of hostility of one nation toward a second depends on the level of hostility in the second and that the rate of change of hostility of the second toward the first depends on the level of hostility of the first. Then, if we start from given levels of hostility in each nation, these equations are sufficient to spell out what happens to these levels in succeeding time periods.”

Kenneth E. Boulding (1910–1993) British-American economist

Source: 1950s, National images and international systems, 1959, p. 120-121

Hostility, War, Peace, Behavior

“A significant observation regarding… architectural representations is that each is of a different nature than the others. They are not merely a set of representations, each of which is an increasing level of detail than the previous one. Level of detail is an independent variable, varying within each architectural representation.”

John Zachman (1934) American computer scientist

Zachman (1986) as cited in: Peter Bernus, Kai Mertins, Günter Schmidt (2005) Handbook on Architectures of Information Systems. p. 544

Nature

“Complex adaptive systems have the property that if you run them—by just letting the mathematical variable of "time" go forward—they'll naturally progress from chaotic, disorganized, undifferentiated, independent states to organized, highly differentiated, and highly interdependent states. Organized structures emerge spontaneously… A weak system gives rise only to simpler forms of self-organization; a strong one gives rise to more complex forms, like life.”

J. Doyne Farmer (1952) American physicist and entrepreneur (b.1952)

The Third Culture: Beyond the Scientific Revolution (1995)

Life, Mathematics, Nature, Strong

“I suppose not many people dress up with insults to go out. We, the homosexuals, have no other choice. Insults are for us almost an epistemological variable: we have learned to know our fellow beings -for, as much as it surprises us, they are our fellow beings- through their insults, and they, on the other hand, have learned to know us in spite of the exhausting job -a hard duty impossed by society- of insulting us.”

Miss Shangay Lily (1963–2016) Spanish artivist and drag queen

Miss Shangay Lily, Mari, ¿me pasas el poppers?

People, Learning

“Although size and book to market equity seem like ad hoc variables for explaining average stock returns, we have reason to expect that they proxy for common risk factors in returns.”

Eugene Fama (1939) American economist and Nobel laureate in Economics

Source: Common risk factors in the returns on stocks and bonds, 1993, p. 7

Books

“Simulators set up the required system of interdependences, usually between electrical potentials or voltages as variables, by means of valve-amplifiers and electrical networks. Since the voltage across a capacitance is proportional to the integral of a current, that across an inductance to the first derivative of a current, and that across a resistor to the current itself, it is possible to arrange a network of electrical elements, with amplifiers and feeds-back where necessary, so that a given linear differential equation is caused to relate an ’output’ voltage to an ’input’ voltage. Thus a given linear system of interdependences can be simulated, either directly or in any convenient transformation. If non-linear relationships are required there is no universally applicable simple device, but there do exist a great variety of non-linear elements with non-linear characteristics that are known and to some extent; adjustable. These include non-linear resistors… and the characteristic curves of thermionic valves, of rectifiers and discharge vessels and of magnetic materials. Limits may be set by the use of neon tubes that become conducting when a certain voltage is exceeded, or by relays, and so on”

Arnold Tustin (1899–1994) British engineer

Source: The Mechanism of Economic Systems (1953), p. 128; As cited in: Prices Revalued as Information: Circuit Elements, online document 2013

Universe

“The bond price, and, as an arithmetical and rigid consequence, the interest rate is an inherently restless variable.”

G. L. S. Shackle (1903–1992) British economist

Source: Epistemics and Economics. (1972), p. 201

“The manner in which time and space are bound up with each other in the four-dimensional continuum is variable. It is difficult to express this variability of the cross-connections between space and time in simple language, and different interpretations of it are possible, corresponding to different mathematical transformations of the fundamental line-element, e. g. a different choice of the variable which we interpret as "time." Perhaps the best way we can express it is by saying that the solution of the field-equations of the theory of relativity shows that there is in the universe a tendency to change its scale, which at the present time results in an expansion, but may perhaps at other times become, or have been, a shrinking. This is true of the grand scale model of the universe.”

Willem de Sitter (1872–1934) Dutch cosmologist

Kosmos (1932), Above is Beginning Quote of the Last Chapter: Relativity and Modern Theories of the Universe -->

Way, Mathematics, Universe, Change

“It is willingly granted that by cultivation the origination of new varieties is favored, and that by man's labor many varieties are acquired which, under natural conditions, would be lost; but nothing justifies the assumption that the tendency to formation of varieties is so extraordinarily increased that the species speedily lose all stability, and their offspring diverge into an endless series of extremely variable forms. Were the change in the conditions the sole cause of variability we might expect that those cultivated plants which are grown for centuries under almost identical conditions would again attain constancy.”

Gregor Mendel book Experiments in plant-hybridisation

Experiments with Hybrids of Other Species of Plants
Experiments in plant-hybridisation (1865)

Nature, Change

“Einstein's pioneer application in 1917 of his newly developed general relativity to the problem of world-structure ushered in a new phase in the theoretical approach to the subject. Then, some seven years later, Hubble's discovery of Cepheid variables in the Andromeda nebula finally settled the long-debated question concerning this and similar nebulae in the Milky Way.”

Gerald James Whitrow (1912–2000) British mathematician

"Theories of the Universe" (10 Apr 1958)

World, Way, Question, Problem

“It is remarkable that this generalization of plane geometry to surface geometry is identical with that generalization of geometry which originated from the analysis of the axiom of parallels. …the construction of non-Euclidean geometries could have been equally well based upon the elimination of other axioms. It was perhaps due to an intuitive feeling for theoretical fruitfulness that the criticism always centered around the axiom of parallels. For in this way the axiomatic basis was created for that extension of geometry in which the metric appears as an independent variable. Once the significance of the metric as the characteristic feature of the plane has been recognized from the viewpoint of Gauss' plane theory, it is easy to point out, conversely, its connection with the axiom of parallels. The property of the straight line as being the shortest connection between two points can be transferred to curved surfaces, and leads to the concept of straightest line; on the surface of the sphere the great circles play the role of the shortest line of connection… analogous to that of the straight line on the plane. Yet while the great circles as "straight lines" share the most important property with those of the plane, they are distinct from the latter with respect to the axiom of the parallels: all great circles of the sphere intersect and therefore there are no parallels among these "straight lines". …If this idea is carried through, and all axioms are formulated on the understanding that by "straight lines" are meant the great circles of the sphere and by "plane" is meant the surface of the sphere, it turns out that this system of elements satisfies the system of axioms within two dimensions which is nearly identical in all of it statements with the axiomatic system of Euclidean geometry; the only exception is the formulation of the axiom of the parallels.”

Hans Reichenbach (1891–1953) American philosopher

The geometry of the spherical surface can be viewed as the realization of a two-dimensional non-Euclidean geometry: the denial of the axiom of the parallels singles out that generalization of geometry which occurs in the transition from the plane to the curve surface.
The Philosophy of Space and Time (1928, tr. 1957)

Way, Feeling, Idea, Understanding

“How far away from the earth are those remotest of stars: they are beyond the reach of eye, or man's devices, or man's thought. What an absurdity is this motion (of spheres). He also argues for the extreme variability of the distance to the various heavenly bodies and states that situated "in thinnest aether, or in the most subtle fifth essence, or in vacuity - how shall the stars keep their places in the mighty swirl of these enormous spheres composed of a substance of which no one knows aught?”

William Gilbert (astronomer) book De Magnete

Translation by P. Fleury Mottelay (1958) p. 319-20.
De Magnete (1600), Book 6, Chapter III: Of the Daily Magnetic Rotation of the Globes

Star

“We all endeavour, as Spinoza says, to persist in our own being; and that endeavour is, he adds, the very essence of our existence. When, therefore, we find that what delighted us once can still delight us: that though the objects of our admiration may be intermittent, yet they move in fixed orbits, and their return is certain, these reappearances will suggest that we have after all maintained something of our own integrity; that a sort of system lies beneath the apparent variability of our interests; that there is, so to speak, a continuity within ourselves, a core of meaning which has not disintegrated with the years.”

Logan Pearsall Smith (1865–1946) British American-born writer

“Montaigne,” p. 2
Reperusals and Recollections (1936)

“Globalisation is highly selective. It proceeds by linking up all that, according to dominant interests, has value anywhere in the planet, and discarding anything which has no value or becomes devalued, in a variable geometry of creative destruction and destructive creation of value.”

Manuel Castells (1942) Spanish sociologist (b.1942)

Materials for an exploratory theory of the network society (2000)

“In many different fields, empirical phenomena appear to obey a certain general law, which can be called the Law of Large Numbers. This law states that the ratios of numbers derived from the observation of a very large number of similar events remain practically constant, provided that these events are governed partly by constant factors and partly by variable factors whose variations are irregular and do not cause a systematic change in a definite direction.”

Siméon Denis Poisson (1781–1840) French mathematician, mechanician and physicist

Statement of Poisson's law also known as the Law of Large Numbers (1837), as quoted by [Richard Von Mises, Probability, Statistics and Truth, Allen and Unwin, 1957, 104-105]

Law, Appearance, Change

“What Lamarck then foretold has come to pass; the more new forms have been multiplied, the less are we able to decide what we mean by a variety, and what by a species. In fact, zoologists and botanists are not only more at a loss than ever how to define a species, but even to determine whether it has any real existence in nature, or is a mere abstraction of the human intellect, some contending that it is constant within certain narrow and impassable limits of variability, others that it is capable of indefinite and endless modification.”

Charles Lyell (1797–1875) British lawyer and geologist

Source: The Geological Evidences of the Antiquity of Man (1863), Ch.20, p. 389

Nature, Loss

“The proponents of a mandatory retirement age and term limits have underestimated the degree to which the rational actor model applies to Justices. In making many decisions, as the empirical evidence demonstrates, Justices attempt to maximize their own preferences, whether based on policy considerations or other factors. The retirement decision is no exception. Scholars who dispute the applicability of the rational actor model to Justices have either not focused on the persuasive empirical evidence advanced by political scientists or have failed to consider all of the variables that touch upon judicial utility.”

David Stras (1974) American judge

The Incentives Approach to Judicial Retirement https://poseidon01.ssrn.com/delivery.php?ID=550083013021092016089124092101123109019053019081050000104123078004026111095112098007032035042036057108108088070117116005124105087007061001121113115101118119116088029023111029064077104010121092024068066031005116087002001031092011074124095102105073&EXT=pdf (October 25, 2005)

Age, Justice, Decision

“If you have a faith, it is statistically overwhelmingly likely that it is the same faith as your parents and grandparents had. No doubt soaring cathedrals, stirring music, moving stories and parables, help a bit. But by far the most important variable determining your religion is the accident of birth. The convictions that you so passionately believe would have been a completely different, and largely contradictory, set of convictions, if only you had happened to be born in a different place. Epidemiology, not evidence.”

Richard Dawkins book Viruses of the Mind

Viruses of the Mind (1993)

Faith, Religion, Music, Birth

“We may perhaps start by throwing all kinds of production into one variable, all consumption into another, and so on, imagining that the notions 'production', 'consumption', and so on, can be measured by some sort of total indices. At present certain examples of micro-dynamic analyses have been worked out, but as far as I know no determinate macro-dynamic analysis is yet to be found in the literature.”

Ragnar Frisch Propagation problems and impulse problems in dynamic economics

Source: 1930s, Propagation problems and impulse problems in dynamic economics, 1933, p. 173

Imagination, Literature

“Variable, and therefore miserable condition of man; this minute I was well, and am ill, this minute.”

John Donne (1572–1631) English poet

I. Insultus Morbi Primus; The first alteration, the first grudging of the sickness.
Devotions Upon Emergent Occasions (1624)

“Data management housekeeping is not the only problem to plague oversimplified approaches to high speed computation. The physical problems which are of practical interest tend to have rather significant complications. Examples of these complications are as follows: boundaries are likely to be irregular; interiors are likely to be inhomogeneous; computations required may be dependent on the states of the variables at each point; propagation rates of different physical effects may be quite different; the rate of convergence, or convergence at all, may be strongly dependent on sweeping through the array along different axes on succeeding passes; etc. The effect of each of these complications is very severe on any computer organization based on geometrically related processors in a paralleled processing system.”

Gene Amdahl (1922–2015) American physicist

Source: Validity of the single processor approach... (1967), p. 483

Problem, Dependency, Speed

“It is worthy of notice that in Table VI the brighter variables have the longer periods. It is also noticeable that those having the longest periods appear to be as regular in their variations as those which pass through their changes in a day or two.”

Henrietta Swan Leavitt (1868–1921) astronomer

"1777 Variables in the Magellanic Clouds" http://books.google.com/books?id=UkdWAAAAYAAJ&pg=PA87 (1908) Annals of the Astronomical Observatory of Harvard College Vol.60. No.4

Appearance, Change

“The action outcome, x, may then be said to be dependent upon a combination of effective personal force and effective environmental force, thus:
x = f (ff person, ff environment).
One is tempted to formulate the underlying relation between the two independent variables as an additive one, for if the effective environmental force is zero (which would mean that the combination of environmental factors neither hinders nor furthers the result at), then x will depend only on the effective personal force.”

Fritz Heider (1896–1988) German psychologist

Source: The psychology of interpersonal relations, 1958, p. 82

Dependency, Personality

“The evolution of life is analogous to the evolution of language. For example, there are several languages based on the Roman alphabet of only 26 letters. Yet by arranging these in different orders, we’ve added several hundred thousand words to English since the 5th century, and many of them were completely new. The principle is the same in genetics. There are millions of named and classified species of life, all of them based on a variable arrangement of only four chemical components. For another example, we know that Spanish, Italian, French, and Portuguese all evolved from Latin, a vernacular which is now extinct. Each of these newer tongues emerged via a slow accumulation of their own unique slang lingo –thus diverging into new dialects, and eventually distinct forms of gibberish such that the new Romans could no longer communicate with either Parisians or Spaniards. Similarly, if we took an original Latin speaking population and divided them sequestered in complete isolation over several centuries, they might still be able to understand each other, or their jargon may have become unintelligible to foreigners. But they won’t start speaking Italian or Romanian because identical vocabularies aren’t going to occur twice.”

Aron Ra (1962) Aron Ra is an atheist activist and the host of the Ra-Men Podcast

"8th Foundational Falsehood of Creationism" https://www.youtube.com/watch?v=TU-7d06HJSs, Youtube (March 22, 2008) Youtube, Foundational Falsehoods of Creationism

Life, Communication, Understanding

“If assets are priced rationally, variables that are related to average returns, such as size and book-to-market equity, must proxy for sensitivity to common (shared and thus undiversifiable) risk factors in returns. The time-series regressions give direct evidence on this issue. In particular, the slopes and R2 values show whether mimicking portfolios for risk factors related to size and [book-to-market] capture shared variation in stock and bond returns not explained by other factors.”

Eugene Fama (1939) American economist and Nobel laureate in Economics

Source: Common risk factors in the returns on stocks and bonds, 1993, p. 4-5

Books, Time

“Climate forecasts (projections) decades into the future have not demonstrated skill in forecasting local, regional, and global climate variables.”

Roger A. Pielke (1946) American meteorologist

"Are Multi-decadal Climate Forecasts Skillful?", Climate Science: Roger Pielke Sr. Research Group Weblog (2005-07-22) http://climatesci.org/2005/07/22/are-multi-decadal-climate-forecasts-skillful/

Future

“The so-called ‘psychotically depressed’ person who tries to kill herself doesn't do so out of quote ‘hopelessness’ or any abstract conviction that life's assets and debits do not square. And surely not because death seems suddenly appealing. The person in whom Its invisible agony reaches a certain unendurable level will kill herself the same way a trapped person will eventually jump from the window of a burning high-rise. Make no mistake about people who leap from burning windows. Their terror of falling from a great height is still just as great as it would be for you or me standing speculatively at the same window just checking out the view; i. e. the fear of falling remains a constant. The variable here is the other terror, the fire's flames: when the flames get close enough, falling to death becomes the slightly less terrible of two terrors. It's not desiring the fall; it's terror of the flames. Yet nobody down on the sidewalk, looking up and yelling ‘Don‘t!’ and ‘Hang on!’, can understand the jump. Not really. You'd have to have personally been trapped and felt flames to really understand a terror way beyond falling.”

David Foster Wallace book Infinite Jest

Infinite Jest (1996)

Life, Death, People, Fear

“1: One man's constant is another man's variable.”

Alan Perlis Epigrams on Programming

Epigrams on Programming, 1982

“One great mystery is why sexual reproduction became dominant for higher life-forms. Optimization theory says it should be otherwise.
Take a fish or lizard, ideally suited to her environment, with just the right internal chemistry, agility, camouflage—whatever it takes to be healthy, fecund, and successful in her world. Despite all this, she cannot pass on her perfect characteristics. After sex, her offspring will be jumbles, getting only half of their program from her and half their re-sorted genes somewhere else.
Sex inevitably ruins perfection. Parthenogenesis would seem to work better—at least theoretically. In simple, static environments, well-adapted lizards who produce duplicate daughters are known to have advantages over those using sex.
Yet, few complex animals are known to perform self-cloning. And those species exist in ancient, stable deserts, always in close company with a related sexual species.
Sex has flourished because environments are seldom static. Climate, competition, parasites—all make for shifting conditions. What was ideal in one generation may be fatal the next. With variability, your offspring get a fighting chance. Even in desperate times, one or more of them may have what it takes to meet new challenges and thrive.
Each style has its advantages, then. Cloning offers stability and preservation of excellence. Sex gives adaptability to changing times. In nature it is usually one or the other. Only lowly creatures such as aphids have the option of switching back and forth.”

David Brin book Glory Season

Introduction to Chapter 8 (pp. 123-124)
Glory Season (1993)

Life, World, Sex, Optimism

“Most of our beliefs about complex organizations follow from one or the other of two distinct strategies. The closed-system strategy seeks certainty by incorporating only those variables positively associated with goal achievement and subjecting them to a monolithic control network. The open-system strategy shifts attention from goal achievement to survival and incorporates uncertainty by recognizing organizational interdependence with environment. A newer tradition enables us to conceive of the organization as an open system, indeterminate and faced with uncertainty, but subject to criteria of rationality and hence needing certainty.”

James D. Thompson (1920–1973) American sociologist

Source: Organizations in Action, 1967, p. 13 (in 2011 edition)

“The art of eloquence belongs to the realm of probability because it constantly directs its glance at the specific, variable psychic state of the audience.”

Ernesto Grassi (1902–1991) Italian philosopher

Source: Rhetoric as Philosophy (1980), p. 40

Art

“The structural closeness of languages to each other has often been thought to be an important factor in FLL (foreign language learning). If the L2 [the foreign language] is structurally similar to the L1 [the original language], it is claimed, learning should be easier than in cases where the L2 is very different. However, it is not possible to correlate linguistic difference and learning difficulty in any straightforward way, and even the basic task of quantifying linguistic difference proves to be highly complex, because of the many variables involved.”

David Crystal (1941) British linguist and writer

Source: The Cambridge Encyclopedia of the English Language, 1987, p. 371

Way, Learning

“Over short periods, the relation between growth in money and growth in nominal income is often hard to see, partly because the relation is less close for short than for long periods, but mostly because it takes time for changes in monetary growth to affect income. And how long a time is itself variable. Today's income growth is not closely related to today's monetary growth; it depends on what has been happening to money in the past. What happens to money today affects what is going to happen to income in the future”

Milton Friedman (1912–2006) American economist, statistician, and writer

Source: Money Mischief (1992), Ch. 2 The Mystery of Money

Money, Change, Time, Past

“In April of 1959, ten of this country's leading scholars forgathered on the campus of Purdue University to discuss the nature of information and the nature of decision… What interests do these men have in common?… To answer these questions it is necessary to view the changing aspect of the scientific approach to epistemology, and the striking progress which has been wrought in the very recent past. The decade from 1940 to 1950 witnessed the operation of the first stored- program digital computer. The concept of information was quantified, and mathematical theories were developed for communication (Shannon) and decision (Wald). Known mathematical techniques were applied to new and important fields, as the techniques of complex- variable theory to the analysis of feedback systems and the techniques of matrix theory to the analysis of systems under multiple linear constraints. The word "cybernetics" was coined, and with it came the realization of the many analogies between control and communication in men and in automata. New terms like "operations research" and "system engineering" were introduced; despite their occasional use by charlatans, they have signified enormous progress in the solution of exceedingly complex problems, through the application of quantitative ness and objectivity.”

Robert E. Machol (1917–1998) American systems engineer

Source: Information and Decision Processes (1960), p. vii

Men, Communication, Mathematics, Question

“How are we to adjudicate among rival ontologies? Certainly the answer is not provided by the semantical formula "To be is to be the value of a variable"; this formula serves rather, conversely, in testing the conformity of a given remark or doctrine to a prior ontological standard.”

Willard van Orman Quine (1908–2000) American philosopher and logician

"On What There Is"
From a Logical Point of View: Nine Logico-Philosophical Essays (1953)

“In order for there to be a variable quantity in some mathematical study, the domain of its variability must strictly speaking be known beforehand through a definition. However, this domain cannot itself be something variable, since otherwise each fixed support for the study would collapse. Thus this domain is a definite, actually infinite set of values. Hence each potential infinite, if it is rigorously applicable mathematically, presupposes an actual infinite.”

Georg Cantor (1845–1918) mathematician, inventor of set theory

"Über die verschiedenen Ansichten in Bezug auf die actualunendlichen Zahlen" ["Over the different views with regard to the actual infinite numbers"] - Bihand Till Koniglen Svenska Vetenskaps Akademiens Handigar (1886)

Mathematics, Support, Study

“There is not so variable a thing in Nature as a lady's head-dress.”

Joseph Addison (1672–1719) politician, writer and playwright

No. 98 (22 June 1711).
The Spectator (1711–1714)

Nature

“So, if you played a C major chord to pretty much any person on the planet, they'd say that it sounds "harmonious" (or pleasing, or happy, etc, etc). But now when you want to put chords and melodies in an ordering and make a larger piece called a "song", then that is a much more difficult process, and gets very subjective. At that point, it's not just the chords, it's the lyrics, rhythms, instrumentation, tempo, intensity, any number of other things that goes into a song… so many variables that it's almost impossible to predict how a song will affect a given person.”

Andrew Sega (1975) musician from America

Andrew Sega Shrine interview, 2011

Happiness, Personality

“Infinity, in its first form (the improper-infinite) presents itself as a variable finite [veranderliches Endliches]; in the other form (which I call the proper infinite [Eigentlich-unendliche]) it appears as a thoroughly determinate [bestimmtes] infinite.”

Georg Cantor (1845–1918) mathematician, inventor of set theory

From Kant to Hilbert (1996)

Appearance

“The unique purpose of geography is to seek comprehension of the variable character of areas in terms of all the interrelated features which together form that variable character.”

Richard Hartshorne (1899–1992) American Geographer

Source: Perspective on the nature of geography (1958), p. 20

“Intervening variables are essential to psychological analysis because without them our description of economic behavior would remain incomplete, our understanding of behavior limited, and our predictions of future behavior incorrect.”

George Katona (1901–1981) American psychologist

George Katona (1951). Psychological Analysis of Economic Behavior. McGraw-Hill, New York. p. 31

Behavior, Understanding, Future

“I started with a kind of artistic approach… I visualized the best-looking shapes and sizes. I worked with the variables until it got to the point where, if I changed one of them, it didn't get any better… [only then I] figure out the mathematical formula to produce that effect.”

Arthur H. Robinson (1915–2004) American geographer

Robinson (1988) in The New York Times as cited in: John Noble Wilford (2004) " Arthur H. Robinson, 89, Geographer Who Reinterpreted World Map, Dies http://www.nytimes.com/2004/11/15/obituaries/15robinson.html?_r=0" in: The New York Times November 15, 2004: About the development of the Robinson projection.

Mathematics, Change

“When visualization tools act as a catalyst to early visual thinking about a relatively unexplored problem, neither the semantics nor the pragmatics of map signs is a dominant factor. On the other hand, syntactics (or how the sign-vehicles, through variation in the visual variables used to construct them, relate logically to one another) are of critical importance.”

Alan MacEachren (1952) American geographer

Source: How Maps Work: Representation, Visualization, and Design (1995), p. 368

Problem, Thinking

“Techniques are performed upon raw materials. The state of art of analyzing the characteristics of the raw materials is likely to determine what kind of technology will be used. (Tools are also necessary, of course, but by and large, the construction of tools is a simpler problem than the analysis of the nature of the material and generally follows the analysis.) To understand the nature of the material means to be able to control it better and achieve predictability and efficiency in transformation. We are not referring here to the 'essence of the material, only the way the organization perceives it to be … The other relevant characteristic of the raw material, besides the understandability of Its nature, is Its stability and variability; that is, whether the material can be treated in a standardized fashion or whether continual adjustment to it is necessary. Organizations uniformly seek to standardize their raw material In order to minimize exceptional situations. This is the point of de-individualizing processes found in military academies, monasteries and prisons, and the superiority of the synthetic shoe material Corfam over leather.”

Charles Perrow (1925–2019) American sociologist

Source: 1960s, "A Framework for the Comparative Analysis of Organizations", 1967, p. 195

Art, Shoe, Way, Fashion

“Most of the writers I know come from a variety of backgrounds: history, journalism, engineering, physics. The common element here is not what you study, but the fact that you learn how to study, to do research, and to synthesize new ideas out of old. The soul of science fiction, and perhaps even all fiction, is to look at a situation and ask, “what would happen if….” Change some variables and see how that makes people react to the situation. So, getting yourself a good grounding in any field of study will supply you with a great background wealth of material to use to build your stories. Then you really just need to start writing and keep writing. Writing is a skills-based endeavor and there is no easy way to become successful at it. Writers write.”

Michael A. Stackpole (1957) science fiction author

"Interview" at his official website http://www.michaelastackpole.com/?page_id=8

People, Way, Soul, History

“The view of human society and personality that informs this argument refuses the consistently disappointing and misleading attempt to distinguish a permanent core and a variable periphery of human nature. It takes into account the loose, contradictory, and complex set of motivations and aspirations that people demonstrate in the societies it wants to reform. It recognizes that even the most intimate and seemingly unyielding of these propensities are influenced and cumulatively remade by the institutional and imaginative context in which they exist. But it rejects as unrealistic any institutional scheme whose success requires a sudden and drastic shift in what people are like here and now.”

Roberto Mangabeira Unger (1947) Brazilian philosopher and politician

Source: False Necessityː Anti-Necessitarian Social Theory in the Service of Radical Democracy (1987), p. 500

People, Disappointment, Imagination, Motivation

“\frac {dy}{dx} = \frac {\omega^2x}{g}…The first derivative, the result of the differentiation of y with respect to x, was written by Leibniz in the form
\frac {dy}{dx}…Leibniz's notation …is both extremely useful and dangerous. Today, as the concepts of limit and derivative are sufficiently clarified, the use of the notation… need not be dangerous. Yet, the situation was different in the 150 years between the discovery of calculus by Newton and Leibniz and the time of Cauchy. The derivative \frac {dy}{dx} was considered as the ratio of two "infinitely small quanitites", of the infinitesimals dy and dx. …it greatly facilitated the systematization of the rules of the calculus and gave intuitive meaning to its formulas. Yet this consideration was also obscure… it brought mathematics into disrepute… some of the best minds… such as… Berkeley, complained that calculus is incomprehensible. …\frac {dy}{dx} is the limit of a ratio of dy to dx… Once we have realized this sufficiently clearly, we may, under certain circumstances, treat \frac {dy}{dx} so as if it were a ratio… and multiply by dx to achieve the separation of variables. We get
{dy} = \frac {\omega^2x}{g}xdx”

George Pólya (1887–1985) Hungarian mathematician

Mathematical Methods in Science (1977)

Mathematics, Time

“Gärtner by the results of these transformation experiments, was led to oppose the opinion of those naturalists who dispute the stability of plant species and believe in a continuous evolution of vegetation. He perceives in the complete transformation of one species into another an indubitable proof that species are fixed within limits beyond which they cannot change.
Although this opinion cannot be unconditionally accepted, we find on the other hand in Gartner's experiments a noteworthy confirmation of that supposition regarding variability of cultivated plants which has already been expressed.”

Gregor Mendel book Experiments in plant-hybridisation

Concluding paragraph
Experiments in plant-hybridisation (1865)

Change

“The management system of an organization must have compatible component parts if it is to function effectively. This conclusion has a very important implication; experiments in organizations must involve internally consistent changes. The traditional atomistic research design is not appropriate for experiments involving organizational theory or management systems. Every aspect of a management system is related to every other part and interacts with it.
The results obtained by altering a single variable or procedure while keeping all others the same usually will yield quite different results from those obtained when that variable is changed along with simultaneous and compatible changes in all other aspects of the management system. The true influence of altering one aspect of the system cannot be determined by varying it and it alone… In experiments involving organizational theory and management systems, therefore, a systems approach must be used. The organic integrity of each system must be maintained while experimental variations are being made.”

Rensis Likert (1903–1981) American statistician

Source: The Human Organization, 1967, p. 123

Change, Parting

“The significant problems of living organisms are seldom those in which one can rigidly maintain constant all but two variables. Living things are more likely to present situations in which a half-dozen, or even several dozen quantities are all varying simultaneously, and in subtly interconnected ways. Often they present situations in which the essentially important quantities are either non-quantitative, or have at any rate eluded identification or measurement up to the moment. Thus biological and medical problems often involve the consideration of a most complexly organized whole.”

Warren Weaver (1894–1978) American mathematician

Source: Science and Complexity, 1948, p. 536

Way, Problem

“A mechanistic model has the following advantages:
1. It contributes to our scientiﬁc understanding of the phenomenon under study.
2. It usually provides a better basis for extrapolation (at least to conditions worthy of further experimental investigation if not through the entire range of all input variables).
3. It tends to be parsimonious (i. e, frugal) in the use of parameters and to provide better estimates of the response”

George E. P. Box (1919–2013) British statistician

Source: Empirical Model-Building and Response Surfaces (1987), p. 13-14 as cited in: Andrew Odlyzko (2010) Social Networks and Mathematical Models http://www.dtc.umn.edu/~odlyzko/doc/ecra.westland.pdf Electronic Commerce Research and Applications 9(1): 26-28 (2010)

Understanding, Study

“The range of H 1255 is only four tenths of a magnitude, and on account of its brightness it is difficult to observe on all plates except those taken with the 1-inch Cooke lens. It seemed necessary, therefore, to take unusual precautions in order to secure accurate observations, and to give each one its full weight. Accordingly, one hundred and thirty six photographs were selected, including nearly all of those taken with the Cooke lens, and also those taken with the 8 inch Bache Telescope on which the variable was certainly faint. Four independent estimates of brightness were made on each plate, and means were taken, thus reducing the probable error one half. The phase was computed for each observation, thus covering all parts of the light curve. …H 1255 and H 1303 differ from the other variables in a marked degree as in each case the duration of the phase of minimum is very long in proportion to the length of the period. This fact led to considerable difficulty in determining their periods as they were apparently at their minimum brightness for some time before and after the actual minima occurred. In H 1255, the change in brightness is obviously continuous throughout the period, although it is much more rapid near minimum than near maximum. This is clearly seen in Plate IV, Figs. 5 and 6.”

Henrietta Swan Leavitt (1868–1921) astronomer

"Ten Variable Stars of the Algol Type" http://books.google.com/books?id=UkdWAAAAYAAJ&pg=PA87 (1908) Annals of the Astronomical Observatory of Harvard College Vol.60. No.5

Error, Light, Change, Time

“John Barnes is incredibly variable. Pete's Rule (Never buy a Barnes with sodomy in it) is a good one but unfortunately the publisher does not put that kind of stuff on the cover.”

James Nicoll (1961) Canadian fiction reviewer

[a393v8$pen$1@panix1.panix.com, 2002]
2000s

“The empirical successes of [the three-factor model] suggest that it is an equilibrium pricing model, a three-factor version of Merton’s (1973) intertemporal CAPM (ICAPM) or Ross’s (1976) arbitrage pricing theory (APT). In this view, SMB and HML mimic combinations of two underlying risk factors or state variables of special hedging concern to investors.”

Eugene Fama (1939) American economist and Nobel laureate in Economics

Source: Common risk factors in the returns on stocks and bonds, 1993, p. 57

Success

“You tell it that it's indicative by appending $!. That's why we made $! such a short variable name, after all.”

Larry Wall (1954) American computer programmer and author, creator of Perl

[199709081801.LAA20629@wall.org, 1997]
Usenet postings, 1997

“It is hoped that systematic study of the light changes of all the variables, nearly two thousand in number, in the two Magellanic Clouds may soon be undertaken at this Observatory.”

Henrietta Swan Leavitt (1868–1921) astronomer

Periods of 25 Variable Stars in the Small Magellanic Cloud http://adsabs.harvard.edu/abs/1912HarCi.173....1L (1912)

Hope, Study, Light, Change

“For a rational actor, the information he uses to shape his beliefs is a variable rather than a given. Before deciding how to act, he has to make a preliminary decision concerning the quantity of resources he is prepared to invest in looking for the relevant facts. A general must not attack before he has surveyed the terrain, or a surgeon operate before he has examined the patient. However, they must not delay too long, for then they may be surprised by the enemy’s attack or flight, or by the patient’s death.”

Jon Elster (1940) Norwegian academic

Reason and Rationality (2009)

Death, Decision

“In spite of the moderate usefulness of what the economist has to say on this subject… there is a cry for a cultural anthropologist or even a psychologist when the economist runs into sacred cows, extended families, traditional motivations, levels of achievement, and social morale, all of which may be more important to economic development than any of the traditional economic variables. We still await a true synthesis of the insights of economics with those of other social sciences in the area”

Kenneth E. Boulding (1910–1993) British-American economist

Kenneth Boulding (1961). "Contemporary economic research: . In Donald P. Ray (Ed.) Trends in social science. p..19 cited in: Erik Angner & George Loewenstein (2006) Behavioral Economics http://www.cmu.edu/dietrich/sds/docs/loewenstein/BehavioralEconomics.pdf 1960s

Family, Motivation, Science, Cry

“As a result our graduates leave us without having formed the habit of seeking wide generalizations related to diverse variables in the social situations which surround them. Because they lack both habits and methods which lead them to seek generalizations, they become, after they leave us, Specialists themselves and make decisions without the guides to action within their special fields which wider viewpoints might give. To develop them as we must, the artificial dividing lines between social sciences must in large measure be broken down. Specialized training must be both counteracted and supplemented by training which brings in the widest social implications. Otherwise men will not be trained to meet the problems faced by public and private administrators.
The only way these things can be attempted in our universities without resulting in a vast amount of sheer unrealistic sentimentality is, I believe, by paying more attention to the great intellectual field of administration.”

Wallace Brett Donham (1877–1954) American academic

Source: "Training for Leadership in a Democracy", 1936, p. 65-70, as cited in: Albert Lepawsky (1949), Administration, p. 663

Men, Way, Problem, Decision

“The corruption inherent in absolute power derives from the fact that such power is never free from the tendency to turn man into a thing, and press him back into the matrix of nature from which he has risen. For the impulse of power is to turn every variable into a constant, and give to commands the inexorableness and relentlessness of laws of nature. Hence absolute power corrupts even when exercised for humane purposes. The benevolent despot who sees himself as a shepherd of the people still demands from others the submissiveness of sheep. The taint inherent in absolute power is not its inhumanity but its anti-humanity.”

Eric Hoffer (1898–1983) American philosopher

Source: The Ordeal of Change (1963), Ch. 15: "The Unnaturalness Of Human Nature"
Context: One should see the dominant role of the weak in shaping man's fate not as a perversion of natural instincts and vital impulses, but as the starting point of the deviation which led man to break away from, and rise above, nature — not as degeneration but as the generation of a new order of creation.
The corruption inherent in absolute power derives from the fact that such power is never free from the tendency to turn man into a thing, and press him back into the matrix of nature from which he has risen. For the impulse of power is to turn every variable into a constant, and give to commands the inexorableness and relentlessness of laws of nature. Hence absolute power corrupts even when exercised for humane purposes. The benevolent despot who sees himself as a shepherd of the people still demands from others the submissiveness of sheep. The taint inherent in absolute power is not its inhumanity but its anti-humanity.

People, Law, Exercises, Nature

“To my mind, the expression of divinity is in variety, and the more variable the creation, the more variable the creatures that surround us, botanical and zoological, the more chance we have to learn and to see into life itself, nature itself.”

Sheri S. Tepper (1929–2016) American fiction writer

Locus interview (1998)
Context: To my mind, the expression of divinity is in variety, and the more variable the creation, the more variable the creatures that surround us, botanical and zoological, the more chance we have to learn and to see into life itself, nature itself. If we were just human beings, living in a spaceship, with an algae farm to give us food, we would not be moved to learn nearly as many things as we are moved by living on a world, surrounded by all kinds of variety. And when I see that variety being first decimated, and then halved — and I imagine in another hundred years it may be down by 90% and there'll be only 10% of what we had when I was a child — that makes me very sad, and very despairing, because we need variety. We came from that, we were born from that, it's our world, the world in which we became what we have become.

Life, Nature, Learning, Chance

“Colour as perceived by us is a function of three independent variables”

James Clerk Maxwell (1831–1879) Scottish physicist

Maxwell, in a letter to William Thomson, The Scientific Letters and Papers of James Clerk Maxwell: 1846-1862 (1990), p. 245.
Context: Colour as perceived by us is a function of three independent variables at least three are I think sufficient, but time will show if I thrive.

“A straight line can readily be drawn among each of the two series of points corresponding to the maxima and minima, thus showing that there is a simple relation between the brightness of the variables and their periods.”

Henrietta Swan Leavitt (1868–1921) astronomer

Periods of 25 Variable Stars in the Small Magellanic Cloud http://adsabs.harvard.edu/abs/1912HarCi.173....1L (1912) Context: A remarkable relation between the brightness of these [Cepheid] variables and the length of their periods will be noticed. In H. A. 60, No.4, attention was called to the fact that the brighter variables have the longer periods, but at that time it was felt that the number was too small the drawing of general conclusions. The periods of 8 additional variables which have been determined since that time, however, conform to the same law. The relation is shown graphically in Figure 1... The two resulting curves, one for the maxima and one for the minima, are surprisingly smooth, and of remarkable form. In Figure 2, the abscissas are equal to the logarithms of the periods, and the ordinates to the corresponding magnitudes, as in Figure 1. A straight line can readily be drawn among each of the two series of points corresponding to the maxima and minima, thus showing that there is a simple relation between the brightness of the variables and their periods. The logarithm of the period increases by about 0.48 for each increase of one magnitude in brightness.

“The usual no-go theorems telling us that hidden variables are irreconcilable with locality, appear to start with fairly conventional pictures of particle systems, detectors, space and time.”

Gerardus 't Hooft (1946) Dutch theoretical physicist and Nobel Prize winner

Obstacles on the Way toward the Quantization of Space, Time and Matter — and possible resolutions — http://www.staff.science.uu.nl/~hooft101/gthpub/foundations.pdf Context: The usual no-go theorems telling us that hidden variables are irreconcilable with locality, appear to start with fairly conventional pictures of particle systems, detectors, space and time. Usually, it is taken for granted that events at one place in the universe can be described independently from what happens elsewhere. Perhaps one has to search for descriptions where the situation is more complex. Maybe, it needs not be half as complex as superstring theory itself. The conventional Copenhagen interpretation of quantum mechanics suffices to answer all practical questions concerning conventional experiments with quantum mechanics, and the outcome of experiments such as that of Aspect et al can be precisely predicted by conventional quantum mechanics. This is used by some to state that no additional interpretation prescriptions for quantum mechanics are necessary. Yet we insist that the axioms for any "complete" quantum theory for the entire cosmos would present us with as yet unresolved paradoxes.

Appearance, Time

“The materials of action are variable, but the use we make of them should be constant.”

Epictetus (50–138) philosopher from Ancient Greece

How Nobleness of Mind may be consistent with Prudence, Chap. v.
Bartlett's Familiar Quotations, 10th ed. (1919)

“Stoic, Christian, and Buddhist saints are practically indistinguishable in their lives. The theories which Religion generates, being thus variable, are secondary; and if you wish to grasp her essence, you must look to the feelings and the conduct as being the more constant elements.”

William James (1842–1910) American philosopher, psychologist, and pragmatist

Lecture XX, "Conclusions"
1900s, The Varieties of Religious Experience (1902)
Context: Both thought and feeling are determinants of conduct, and the same conduct may be determined either by feeling or by thought. When we survey the whole field of religion, we find a great variety in the thoughts that have prevailed there; but the feelings on the one hand and the conduct on the other are almost always the same, for Stoic, Christian, and Buddhist saints are practically indistinguishable in their lives. The theories which Religion generates, being thus variable, are secondary; and if you wish to grasp her essence, you must look to the feelings and the conduct as being the more constant elements. It is between these two elements that the short circuit exists on which she carries on her principal business, while the ideas and symbols and other institutions form loop-lines which may be perfections and improvements, and may even some day all be united into one harmonious system, but which are not to be regarded as organs with an indispensable function, necessary at all times for religious life to go on. This seems to me the first conclusion which we are entitled to draw from the phenomena we have passed in review.

Religion, Feeling

Quotes about variable page 2

Quotes about variable
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