“The concept of guilt is found most powerfully developed even in the most primitive communal forms which we know: … the man is guilty who violates one of the original laws which dominate the society and which are mostly derived from a divine founder; the boy who is accepted into the tribal community and learns its laws, which bind him thenceforth, learns to promise; this promise is often given under the sign of death, which is symbolically carried out on the boy, with a symbolical rebirth.”

— Martin Buber

Source: Between Man and Man (1965), p. 178

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Martin Buber 58

German Jewish Existentialist philosopher and theologian 1878–1965

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“There are a number of theorems in ordinary algebra, which, though apparently proved to be true only for symbols representing numbers, admit of a much more extended application. Such theorems depend only on the laws of combination to which the symbols are subject, and are therefore true for all symbols, whatever their nature may be, which are subject to the same laws of combination. The laws with which we have here concern are few in number, and may be stated in the following manner. Let a, b represent two operations, u, v two subjects on which they operate, then the laws are
(1) ab(u) = ba (u),
(2) a(u + v) = a (u) + a (v),
(3) am. an. u = am + n. u.
The first of these laws is called the commutative law, and symbols which are subject to it are called commutative symbols. The second law is called distributive, and the symbols subject to it distributive symbols. The third law is not so much a law of combination of the operation denoted by a, but rather of the operation performed on a, which is indicated by the index affixed to a. It may be conveniently called the law of repetition, since the most obvious and important case of it is that in which m and n are integers, and am therefore indicates the repetition m times of the operation a.”

Duncan Gregory (1813–1844) British mathematician

That these are the laws employed in the demonstration of the principal theorems in Algebra, a slight examination of the processes will easily shew ; but they are not confined to symbols of numbers ; they apply also to the symbol used to denote differentiation.
p. 237 http://books.google.com/books?id=8lQ7AQAAIAAJ&pg=PA237; Highlighted section cited in: George Boole " Mr Boole on a General Method in Analysis http://books.google.com/books?pg=PA225-IA15&id=aGwOAAAAIAAJ&hl," Philosophical Transactions, Vol. 134 (1844), p. 225; Other section (partly) cited in: James Gasser (2000) A Boole Anthology: Recent and Classical Studies in the Logic of George Boole,, p. 52
Examples of the processes of the differential and integral calculus, (1841)

“Slavery is a form of communism… The manner to which the change shall be made from the present form of society to that system of communism which we propose is very simple.”

George Fitzhugh (1806–1881) American activist

Source: Cannibals All!, or Slaves Without Masters (1857), p. 324

“The success is various, as the faculties and conditions which God has given are various; but the spectre which haunted the conscience is gone. Our failures are errors, not crimes — nature's discipline with which God teaches us; and as little violations of His law, or rendering us guilty in His eyes, as the artist's early blunders, or even ultimate and entire failures, are laying store of guilt on him.”

James Anthony Froude book The Nemesis of Faith

Fragments of Markham's notes
The Nemesis of Faith (1849)
Context: Finally rises philosophy, which, after a few monstrous efforts from Calvin to Leibnitz to reconcile contradictions and form a theodice, comes out boldly in Spinozism to declare the impossibility of the existence of a power antagonistic to God; and defining the perfection of man's nature, as the condition under which it has fullest action and freest enjoyment of all its powers, sets this as a moral ideal hefore us, toward which we shall train our moral efforts as the artist trains his artistic efforts towards his ideal. The success is various, as the faculties and conditions which God has given are various; but the spectre which haunted the conscience is gone. Our failures are errors, not crimes — nature's discipline with which God teaches us; and as little violations of His law, or rendering us guilty in His eyes, as the artist's early blunders, or even ultimate and entire failures, are laying store of guilt on him.

“Here you see the pattern from which my great work is derived. It expresses the symbolic significance of NULLITY to which TOTALITY must necessarily attach itself, by Kratinjae's Second Law of Cryptorrhoid Affinities, with which you are possibly familiar.”

Jack Vance Dying Earth

"Not in every aspect," said Cugel.
Source: Dying Earth (1950-1984), The Eyes of the Overworld (1966), Chapter 4, "The Sorcerer Pharesm"

“An organised system of machines, to which motion is communicated by the transmitting mechanism from a central automation, is the most developed form of production by machinery.”

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

Vol. I, Ch. 15, Section 1, pg. 416.
(Buch I) (1867)

“In this chapter I shall collect those Theorems in the Differential Calculus which, depending only on the laws of combination of the symbols of differentiation, and not on the functions which are operated on by these symbols, may be proved by the method of the separation of the symbols : but as the principles of this method have not as yet found a place in the elementary works on the Calculus, I shall first state? briefly the theory on which it is founded.”

Duncan Gregory (1813–1844) British mathematician

Source: Examples of the processes of the differential and integral calculus, (1841), p. 237; Lead paragraph of Ch. XV, On General Theorems in the Differential Calculus,; Cited in: James Gasser (2000) A Boole Anthology: Recent and Classical Studies in the Logic of George Boole,, p. 52

“We are witnessing the rebirth of nationalist ideology which violates human rights and international law under the cover of humanitarian slogans about protecting minorities. We recognize this all too well from the 1930s.”

Bronisław Komorowski (1952) Polish politician, president of Poland

"Polish president warns in Berlin of rebirth of 1930s nationalism" in Reuters https://www.reuters.com/article/us-ukraine-crisis-poland-president/polish-president-warns-in-berlin-of-rebirth-of-1930s-nationalism-idUSKBN0H51C420140910 (10 September 2014)

“As we survey the various stages of evolution, from the simplest one-cell creatures up to man. we see a steady improvement in the methods of learning and adaptation to a hostile world. Each step in learning ability gives better adaptation and greater chance of survival. We are carried a long way up the scale by innate reflexes and rudimentary muscular learning faculties. Habits indeed, not rational thought, assist us to surmount most of life's obstacles. Most, but by no means all; for learning in the high mammals exhibits the unexplained phenomenon of "insight," which shows itself by sudden changes in behavior in learning situations -- in sudden departures from one method of organizing a task, or solving a problem, to another. Insight, expectancy, set, are the essentially "mind-like" attributes of communication, and it is these, together with the representation of concepts, which require physiological explanation. At the higher end of the scale of evolution, this quality we call "mind" appears more and more prominently, but it is at our own level that learning of a radically new type has developed -- through our powers of organizing thoughts, comparing and setting them into relationship, especially with the use of language. We have a remarkable faculty of forming generalizations, of recognizing universals, of associating and developing them. It is our multitude of general concepts, and our powers of organizing them with the aid of language in varied ways, which forms the backbone of human communication, and which distinguises us from the animals.”

Colin Cherry (1914–1979) British scientist

Source: Hebb, D. O., The Organization of Behavior, John Wiley & Sons, Inc., New York, 1949.
Source: On Human Communication (1957), On Cognition and Recognition, p. 304

“It is part of the established tradition in the use of juries as instruments of public justice that the jury be a body truly representative of the community. For racial discrimination to result in the exclusion from Jury service of otherwise qualified groups not only violates our Constitution and the laws enacted under it, but is at war with our basic concepts of a democratic society and a representative government. We must consider this record in the light of these important principles. The fact that the written words of a state's laws hold out a promise that no such discrimination will be practiced is not enough. The Fourteenth Amendment requires that equal protection to all must be given — not merely promised.”

Hugo Black (1886–1971) U.S. Supreme Court justice

Writing for the court, Smith v. Texas, 33 U.S. 129 (1940).

“We can deduce, often, from one part of physics like the law of gravitation, a principle which turns out to be much more valid than the derivation.”

Richard Feynman book The Character of Physical Law

Source: The Character of Physical Law (1965), chapter 2, “ The Relation of Mathematics to Physics http://www.youtube.com/watch?v=M9ZYEb0Vf8U” referring to the law of conservation of angular momentum
Context: Now we have a problem. We can deduce, often, from one part of physics like the law of gravitation, a principle which turns out to be much more valid than the derivation. This doesn't happen in mathematics, that the theorems come out in places where they're not supposed to be!

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Martin Buber 58

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