“The method applied by Newton to the grounding of the Infinitesimal Calculus, and which since the beginning of this century has been recognised by the best mathematicians as the only one that furnishes sure results, is the method of limits. The method consists in this, viz., instead of considering a continuous transition from one value of a quantity to another, from one position to another, or, speaking generally, from one determination of a concept to another, one considers in the first place a transition through a finite number of intervals and then allows the number of these intervals to increase so that the distances of two successive points of division all decrease infinitely.”

— Bernhard Riemann

General Relation of the Concept System of Thesis and Antithesis
Gesammelte Mathematische Werke (1876)

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Bernhard Riemann 43

German mathematician 1826–1866

Robert Nozick book Anarchy, State, and Utopia

Source: Anarchy, State, and Utopia (1974), Ch. 7 : Distributive Justice, Section I, The Entitlement Theory, p. 152
Context: Some people steal from others, or defraud them, or enslave them, seizing their product and preventing them from living as they choose, or forcibly exclude others from competing in exchanges. None of these are permissible modes of transition from one situation to another.

“Sometimes I find the best way of getting from one place to another is simply to erase everything and begin again.”

Norton Juster book The Phantom Tollbooth

Source: The Phantom Tollbooth

“If the Multiplicity of Religions prejudices the State, it proceeds from their not bearing with one another but on the contrary endeavouring each to crush and destroy the other by methods of Persecution. In a word, all the Mischief arises not from Toleration, but from the want of it.”

Pierre Bayle (1647–1706) French philosopher and writer

Quoted in: Joseph LoConte, "The Golden Rule of Toleration" http://www.christianitytoday.com/ch/thepastinthepresent/historymatters/goldenrule.html, Christianity Today, Accessed 6 March 2011

“According to the concept of transformational evolution, first clearly articulated by Lamarck, evolution consists of the gradual transformation of organisms from one condition of existence to another”

Ernst Mayr (1904–2005) German-American Evolutionary Biologist

Ernst Mayr (1992) " Speciational Evolution or Punctuated Equilibria http://www.stephenjaygould.org/library/mayr_punctuated.html" in: Albert Somit and Steven Peterson (1992) The Dynamics of Evolution, p. 21-48

“We can never know whether our analysis and our methods are wrong, except sometimes with hindsight. Our movements are stronger when they employ diverse methods and analyses and these different positions criticize one another.”

Peter Gelderloos (1982) American anarchist

Introduction: Nonviolence has lost the debate
"The Failure of Nonviolence" (2013) https://theanarchistlibrary.org/library/peter-gelderloos-the-failure-of-nonviolence

“There are two ways of extending life: firstly by moving the two points "born" and "died" farther away from one another… The other method is to go more slowly and leave the two points wherever God wills they should be, and this method is for the philosophers.”

Georg Christoph Lichtenberg (1742–1799) German scientist, satirist

B 22
Aphorisms (1765-1799), Notebook B (1768-1771)

“Though one discovery always surpasses another, and though the chemical and physical knowledge accumulated since his time has gone beyond all Lavoisier's dreams, his work, like that of Newton and a few other rare spirits, will remain ever young. Certain details will age, as do the fashions of another time, but the foundation, the method, constitute one of those great aspects of the human mind, the majesty of which is only increased by years.”

Louis Pasteur (1822–1895) French chemist and microbiologist

The Life of Pasteur (1902)

“Getting up at odd hours to catch flights. I hate the long hours of waiting. There are times when one is continuously travelling, from one city to another, hopping from one studio to another or changing from one costume to another. It is annoying, but after a point, one learns to be immune to one’s surroundings.”

Rani Mukerji (1978) Indian film actress

[tribuneindia.com, Rani’s Routine, http://www.tribuneindia.com/2001/20011011/main8.htm, 16 July, 2005]
Famous Quotes

“The new and the old methods complete one another on numerous points, and their simultaneous use will increase our knowledge”

Bernard Lyot (1897–1952) French astronomer

The study of the solar corona and prominences without eclipses (George Darwin Lecture) in Monthly Notices of the Royal Astronomical Society (1939).
Context: The new and the old methods complete one another on numerous points, and their simultaneous use will increase our knowledge of the outer atmosphere of the Sun much more rapidly.

“It has always been characteristic of American Industry to change products and methods of doing jobs as often as competitive conditions or engineering progress dictates. This makes frequent changes in an individual's work necessary. In addition, the markedly greater turnover and absenteeism of recent years result in unbalanced production lines which again makes for frequent shifting of individuals from one job to another. One of the most serious production problems faced at the Harwood Manufacturing Corporation has been the resistance of production workers to the necessary changes in methods and jobs. This resistance expressed itself in several ways, such as grievances about the piece rates that went with the new methods, high turnover, very low efficiency, restriction of output, and marked aggression against management. Despite these undesirable effects, it was necessary that changes in methods and jobs continue.”

John R. P. French (1913–1995) American psychologist

Source: "Overcoming resistance to change." 1948, p. 512; Lead paragraph

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Bernhard Riemann 43

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