“If x is the population of the United States and y is the degree of imbecility of the average American, then democracy is the theory that x × y is less than y.”

— H.L. Mencken

Sententiæ: The Citizen and the State
1940s–present, A Mencken Chrestomathy (1949)

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H.L. Mencken 281

American journalist and writer 1880–1956

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“The purpose of the mathematical theory of statistics is to deal with the relationship between 2 or more variable quantities without assuming that one is a single-valued mathematical function of the rest. The statistician does not think a certain x will produce a single-valued y; not a causative relation but a correlation. The relationship between x and y will be somewhere within a zone and we have to work out the probability that the point (x,y) will lie in different parts of that zone. The physicist is limited and shrinks the zone into a line. Our treatment will fit all the vagueness of biology, sociology, etc. A very wide science.”

Karl Pearson (1857–1936) English mathematician and biometrician

As quoted by E.S. Pearson, Karl Pearson: An Appreciation of Some Aspects of his Life and Work (1938) and cited in Bernard J. Norton, "Karl Pearson and Statistics: The Social Origins of Scientific Innovation" in Social Studies of Science, Vol. 8, No. 1, Theme Issue: Sociology of Mathematics (Feb.,1978), pp. 3-34.

“Determinism, in the strict sense, is self-contradictory. For if man’s mental processes—specifically, his attempts at reasoning—are not free, if they are determined by environment and heredity, then there is no means of claiming that theory x is true and y is false—since man can have no way of knowing that his mental processes might not be conditioned to force him to believe that x is logical, when in fact it is not.”

Roy A. Childs, Jr. (1949–1992) American libertarian essayist and critic

Source: “Big Business and the Rise of American Statism,” 1969, p. 23

“Nearly fifty years ago… Douglas McGregor launched a debate over how to manage The Human Side of the Enterprise. By comparing what he called Theory X and Theory Y perspectives, he challenged the management profession to reexamine its assumptions about the motivations employees bring to their jobs. The question was: Could employees be trusted and empowered to do good work, or did they have to be closely directed, monitored, and controlled to act in the interests of the firm? While McGregor’s Theory Y sparked important innovations in human resource practices, it did not challenge fundamental assumptions underpinning the 20th Century organizational model. If, as is widely recognized, human capital and knowledge are the most important sources of value for the 21st Century organization, then fundamental assumptions about the relationship between work and organizations will also need to be challenged.”

Thomas A. Kochan (1947) American academic

Source: "Beyond McGregor’s Theory Y", 2002, p. 2: introduction

“Two of the most widely adopted models of human resource management are the hard and soft versions. These are based on opposing views of human nature and managerial control strategies. The hard model is based on notions of tight strategic control, and an economic model of man according to Theory X, while the soft model is based on control through commitment and Theory Y. We argue that because these assumptions are so divergent, they cannot both properly be incorporated within a single model of human resource management.”

Lynda Gratton (1953) Business theorist

Catherine Truss, Lynda Gratton, Veronica Hope-Hailey, Patrick McGovern and Philip Stiles (1997). "Soft and hard models of human resource management: a reappraisal." Journal of Management Studies, 34(1), 53-73.

“[Y]ou possess all the attributes of a demagogue; a screeching, horrible voice, a perverse, crossgrained nature and the language of the market-place. In you all is united which is needful for governing.”

Aristophanés The Knights

Source: The Knights

“Lety5 - ay4 + by3 - cy2 + dy - e = 0be the general equation of the fifth degree and suppose that it can be solved algebraically,—i. e., that y can be expressed as a function of the quantities a, b, c, d, and e, composed of radicals. In this case, it is clear that y can be written in the formy = p + p1R1/m + p2R2/m +…+ pm-1R(m-1)/m,m being a prime number, and R, p, p1, p2, etc. being functions of the same form as y. We can continue in this way until we reach rational functions of a, b, c, d, and e. [Note: main body of proof is excluded]
…we can find y expressed as a rational function of Z, a, b, c, d, and e. Now such a function can always be reduced to the formy = P + R1/5 + P2R2/5 + P3R3/5 + P4R4/5, where P, R, P2, P3, and P4 are functions or the form p + p1S1/2, where p, p1 and S are rational functions of a, b, c, d, and e. From this value of y we obtainR1/5 = 1/5(y1 + α4y2 + α3y3 + α2y4 + α y5) = (p + p1S1/2)1/5,whereα4 + α3 + α2 + α + 1 = 0.Now the first member has 120 different values, while the second member has only 10; hence y can not have the form that we have found: but we have proved that y must necessarily have this form, if the proposed equation can be solved: hence we conclude that
It is impossible to solve the general equation of the fifth degree in terms of radicals.
It follows immediately from this theorem, that it is also impossible to solve the general equations of degrees higher than the fifth, in terms of radicals.”

Niels Henrik Abel (1802–1829) Norwegian mathematician

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

“[B]y what inattention these scurrilously racist Republicans installed the first African-American secretary of state and national security advisor, appointed a black Supreme Court justice, elected the first black U. S. senator since Reconstruction, and sent the troops into Little Rock.”

Allen C. Guelzo (1953) American historian

2010s, Letter (2010)

“The development of modern science is marked by a pronounced tendency toward indeterminism. A somewhat brutal description of this tendency may be states as follows. In relation to some phenomena, instead of trying to establish a (deterministic) functional relationship between a variable y, and some other variables x1, x2, …, xn, we try to build a (stochastic or probabilistic) model of these phenomena, predicting frequencies with which, in specified conditions, the same variable y will assume all of its possible values.”

Jerzy Neyman (1894–1981) Polish statistician

p. 401 of "Statistics—servant of all sciences." http://www.jstor.org/stable/1751553 Science 122, no. 3166 (1955): 401–406.

“Marriage is the proper Remedy. It is the most natural State of Man and therefore the State in which you are most likely to find solid Happiness… [W]hen Women cease to be handsome, they study to be good… [Y]ou should prefer old Women to young ones.”

Benjamin Franklin (1706–1790) American author, printer, political theorist, politician, postmaster, scientist, inventor, civic activist, …

Advice to a Young Man on the Choice of a Mistress https://www.swarthmore.edu/SocSci/bdorsey1/41docs/51-fra.html (25 June 1745)
Epistles

“In scientific thought we adopt the simplest theory which will explain all the facts under consideration and enable us to predict new facts of the same kind. The catch in this criterion lies in the word "simplest." It is really an aesthetic canon such as we find implicit in our criticisms of poetry or painting. The layman finds such a law as {\mathrm{\partial }x \over \mathrm{\partial } t} = \Kappa { \, \mathrm{\partial}^2x \over \mathrm{\partial }y^2} much less simple than "it oozes," of which it is the mathematical statement. The physicist reverses this judgment, and his statement is certainly the more fruitful of the two, so far as prediction is concerned. It is, however, a statement about something very unfamiliar to the plainman, namely, the rate of change of a rate of change.”

J. B. S. Haldane (1892–1964) Geneticist and evolutionary biologist

Possible Worlds and Other Papers (1927), p. 227

“If x is the population of the United States and y is the degree of imbecility of the average American, then democracy is the theory that x × y is less than y.”

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H.L. Mencken 281

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