Quotes about correspondence
page 5

Arnold Toynbee photo
Aron Ra photo
Gilbert Herdt photo
Karl Popper photo

“… The answer to this problem is: as implied by Hume, we certainly are not justified in reasoning from an instance to the truth of the corresponding law. But to this negative result a second result, equally negative, may be added: we are justified in reasoning from a counterinstance to the falsity of the corresponding universal law (that is, of any law of which it is a counterinstance). Or in other words, from a purely logical point of view, the acceptance of one counterinstance to 'All swans are white' implies the falsity of the law 'All swans are white' - that law, that is, whose counterinstance we accepted. Induction is logically invalid; but refutation or falsification is a logically valid way of arguing from a single counterinstance to - or, rather, against - the corresponding law. This shows that I continue to agree with Hume's negative logical result; but I extend it. This logical situation is completely independent of any question of whether we would, in practice, accept a single counterinstance - for example, a solitary black swan - in refutation of a so far highly successful law. I do not suggest that we would necessarily be so easily satisfied; we might well suspect that the black specimen before us was not a swan.”

Source: The Logic of Scientific Discovery (1934), Ch. 1 "A Survey of Some Fundamental Problems", Section I: The Problem of Induction http://dieoff.org/page126.htm p. 27

James Jeans photo
Ludwig Feuerbach photo
Jef Raskin photo

“If books were sold as software and online recordings are, they would have this legalese up front:
The content of this book is distributed on an 'as is' basis, without warranty as to accuracy of content, quality of writing, punctuation, usefulness of the ideas presented, merchantability, correctness or readability of formulae, charts, and figures, or correspondence of (a) the table of contents with the actual contents, (2) page references in the index (if any) with the actual page numbering (if present), and (iii) any illustration with its adjacent caption. Illustrations may have been printed reversed or inverted, the publisher accepts no responsibility for orientation or chirality. Any resemblance of the author or his or her likeness or name to any person, living or dead, or their heirs or assigns, is coincidental; all references to people, places, or events have been or should have been fictionalized and may or may not have any factual basis, even if reported as factual. Similarities to existing works of art, literature, song, or television or movie scripts is pure happenstance. References have been chosen at random from our own catalog. Neither the author(s) nor the publisher shall have any liability whatever to any person, corporation, animal whether feral or domesticated, or other corporeal or incorporeal entity with respect to any loss, damage, misunderstanding, or death from choking with laughter or apoplexy at or due to, respectively, the contents; that is caused or is alleged to be caused by any party, whether directly or indirectly due to the information or lack of information that may or may not be found in this alleged work. No representation is made as to the correctness of the ISBN or date of publication as our typist isn't good with numbers and errors of spelling and usage are attributable solely to bugs in the spelling and grammar checker in Microsoft Word. If sold without a cover, this book will be thinner than those sold with a cover. You do not own this book, but have acquired only a revocable non-exclusive license to read the material contained herein. You may not read it aloud to any third party. This disclaimer is a copyrighted work of Jef Raskin, first published in 2004, and is distributed 'as is', without warranty as to quality of humor, incisiveness of commentary, sharpness of taunt, or aptness of jibe.”

Jef Raskin (1943–2005) American computer scientist

"If Books Were Sold as Software" http://www.newsscan.com/cgi-bin/findit_view?table=newsletter&dateissued=20040818#11200, NewsScan.com (18 August 2004)
If Books Were Sold as Software (2004)

Willem de Sitter photo

“Is the density anywhere near that corresponding to the static universe, or is it so small that we can consider the empty universe as a good approximation?”

Willem de Sitter (1872–1934) Dutch cosmologist

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

Gerald James Whitrow photo
Ed Bradley photo

“All across America, thousands of est graduates, Forum participants, Erhard employees, and other faithful acolytes — not to mention countless others who may have remembered only vaguely the man with the strange-sounding name of Werner Erhard — watched as 60 Minutes correspondent Ed Bradley related a dark story of Erhard's past.”

Ed Bradley (1941–2006) News correspondent

[Steven Pressman, w:Steven Pressman, Outrageous Betrayal: The Dark Journey of Werner Erhard from est to Exile, St. Martin's Press, 1993, New York, 253-258, 0-312-09296-2, OCLC 27897209 http://www.worldcat.org/oclc/27897209]
About

Gerhard Richter photo

“I believe I am looking for rightness. My work has so much to do with reality that I wanted to have a corresponding rightness. That excludes painting in imitation. In nature everything is always right: the structure is right, the proportions are good, the colours fit the forms. If you imitate that in painting, it becomes false.”

Gerhard Richter (1932) German visual artist, born 1932

Interview with Anna Tilroe, 1987; as cited on collected quotes on the website of Gerhard Richter: on 'Abstract paintings' https://www.gerhard-richter.com/en/quotes/subjects-2/abstract-paintings-7
1980's

E. W. Hobson photo

“A new point is determined in Euclidean Geometry exclusively in one of the three following ways:
Having given four points A, B, C, D, not all incident on the same straight line, then
(1) Whenever a point P exists which is incident both on (A, B) and on (C, D), that point is regarded as determinate.
(2) Whenever a point P exists which is incident both on the straight line (A, B) and on the circle C(D), that point is regarded as determinate.
(3) Whenever a point P exists which is incident on both the circles A(B), C(D), that point is regarded as determinate.
The cardinal points of any figure determined by a Euclidean construction are always found by means of a finite number of successive applications of some or all of these rules (1), (2) and (3). Whenever one of these rules is applied it must be shown that it does not fail to determine the point. Euclid's own treatment is sometimes defective as regards this requisite.
In order to make the practical constructions which correspond to these three Euclidean modes of determination, correponding to (1) the ruler is required, corresponding to (2) both ruler and compass, and corresponding to (3) the compass only.
…it is possible to develop Euclidean Geometry with a more restricted set of postulations. For example it can be shewn that all Euclidean constructions can be carried out by means of (3) alone…”

E. W. Hobson (1856–1933) British mathematician

Source: Squaring the Circle (1913), pp. 7-8

Max Scheler photo

“"Another situation generally exposed to ressentiment danger is the older generation's relation with the younger. The process of aging can only be fruitful and satisfactory if the important transitions are accompanied by free resignation, by the renunciation of the values proper to the preceding stage of life. Those spiritual and intellectual values which remain untouched by the process of aging, together with the values of the next stage of life, must compensate for what has been lost. Only if this happens can we cheerfully relive the values of our past in memory, without envy for the young to whom they are still accessible. If we cannot compensate, we avoid and flee the “tormenting” recollection of youth, thus blocking our possibilities of understanding younger people. At the same time we tend to negate the specific values of earlier stages. No wonder that youth always has a hard fight to sustain against the ressentiment of the older generation. Yet this source of ressentiment is also subject to an important historical variation. In the earliest stages of civilization, old age as such is so highly honored and respected for its experience that ressentiment has hardly any chance to develop. But education spreads through printing and other modern media and increasingly replaces the advantage of experience. Younger people displace the old from their positions and professions and push them into the defensive. As the pace of “progress” increases in all fields, and as the changes of fashion tend to affect even the higher domains (such as art and science), the old can no longer keep up with their juniors. “Novelty‟ becomes an ever greater value. This is doubly true when the generation as such is seized by an intense lust for life, and when the generations compete with each other instead of cooperating for the creation of works which outlast them. “Every cathedral,” Werner Sombart writes, “every monastery, every town hall, every castle of the Middle Ages bears testimony to the transcendence of the individual's span of life: its completion spans generations which thought that they lived for ever. Only when the individual cut himself loose from the community which outlasted him, did the duration of his personal life become his standard of happiness.” Therefore buildings are constructed ever more hastily—Sombart cites a number of examples. A corresponding phenomenon is the ever more rapid alternation of political regimes which goes hand in hand with the progression of the democratic movement. But every change of government, every parliamentary change of party domination leaves a remnant of absolute opposition against the values of the new ruling group. This opposition is spent in ressentiment the more the losing group feels unable to return to power. The “retired official” with his followers is a typical ressentiment figure. Even a man like Bismarck did not entirely escape from this danger."”

Max Scheler (1874–1928) German philosopher

Das Ressentiment im Aufbau der Moralen (1912)

Luboš Motl photo

“Your humble correspondent realizes that many readers are left-wing, anti-string-theory fighters. So they probably smoke marijuana and this is my modest attempt to help them.”

Luboš Motl (1973) Czech physicist and translator

http://motls.blogspot.com/2007/06/marijuana-creates-holes-in-lungs.html
The Reference Frame http://motls.blogspot.com/

Kenneth Minogue photo
Abraham Cowley photo
Amartya Sen photo
William John Macquorn Rankine photo

“A physical theory, like an abstract science, consists of definitions and axioms as first principles, and of propositions, their consequences; but with these differences:—first, That in an abstract science, a definition assigns a name to a class of notions derived originally from observation, but not necessarily corresponding to any existing objects of real phenomena, and an axiom states a mutual relation amongst such notions, or the names denoting them; while in a physical science, a definition states properties common to a class of existing objects, or real phenomena, and a physical axiom states a general law as to the relations of phenomena; and, secondly,—That in an abstract science, the propositions first discovered are the most simple; whilst in a physical theory, the propositions first discovered are in general numerous and complex, being formal laws, the immediate results of observation and experiment, from which the definitions and axioms are subsequently arrived at by a process of reasoning differing from that whereby one proposition is deduced from another in an abstract science, partly in being more complex and difficult, and partly in being to a certain extent tentative, that is to say, involving the trial of conjectural principles, and their acceptance or rejection according as their consequences are found to agree or disagree with the formal laws deduced immediately from observation and experiment.”

William John Macquorn Rankine (1820–1872) civil engineer

Source: "Outlines of the Science of Energetics," (1855), p. 121; Second paragraph

Honoré de Balzac photo
Herbert Marcuse photo
André Maurois photo
Carl Menger photo

“The time period lying between command of goods of a higher order and possession of the corresponding goods of lower order can never be eliminated.”

Carl Menger (1840–1921) founder of the Austrian School of economics

Source: Principles,, p. 67; cited in: Randall G. Holcombe, Great Austrian Economists, p. 90

Tony Blair photo

“Everything in our modern substitutes for religion—whether Baconian or Rousseauistic—will be found to converge upon the idea of service. The crucial question is whether one is safe in assuming that the immense machinery of power that has resulted from activity of the utilitarian type can be made, on anything like present lines, to serve disinterested ends; whether it will not rather minister to the egoistic aims either of national groups or of individuals.
One's answer to this question will depend on one's view of the Rousseauistic theory of brotherhood. … To assert that man in a state of nature, or some similar state thus projected, is good, is to discredit the traditional controls in the actual world. Humility, conversion, decorum—all go by the board in favor of free temperamental overflow. Does man thus emancipated exude spontaneously an affection for his fellows that will be an effective counterpoise to the sheer expansion of his egoistic impulses? …
Unfortunately, the facts have persistently refused to conform to humanitarian theory. There has been an ever-growing body of evidence from the eighteenth century to the Great War that in the natural man, as he exists in the real world and not in some romantic dreamland, the will to power is, on the whole, more than a match for the will to service. To be sure, many remain unconvinced by this evidence. Stubborn facts, it has been rightly remarked, are as nothing compared with a stubborn theory. Altruistic theory is likely to prove peculiarly stubborn, because, probably more than any other theory ever conceived, it is flattering: it holds out the hope of the highest spiritual benefits—for example, peace and fraternal union—without any corresponding spiritual effort.”

Irving Babbitt (1865–1933) American academic and literary criticism

Source: "What I Believe" (1930), pp. 7-8

Bernhard Riemann photo
Peter Kropotkin photo

“They study the characteristics of law, and instead of perpetual growth corresponding to that of the human race, they find its distinctive trait to be immobility, a tendency to crystallize what should be modified and developed day by day.”

Peter Kropotkin (1842–1921) Russian zoologist, evolutionary theorist, philosopher, scientist, revolutionary, economist, activist, geogr…

Source: Law and Authority (1886), I
Context: Men who long for freedom begin the attempt to obtain it by entreating their masters to be kind enough to protect them by modifying the laws which these masters themselves have created!
But times and tempers are changed. Rebels are everywhere to be found who no longer wish to obey the law without knowing whence it comes, what are its uses, and whither arises the obligation to submit to it, and the reverence with which it is encompassed. The rebels of our day are criticizing the very foundations of society which have hitherto been held sacred, and first and foremost amongst them that fetish, law.
The critics analyze the sources of law, and find there either a god, product of the terrors of the savage, and stupid, paltry, and malicious as the priests who vouch for its supernatural origin, or else, bloodshed, conquest by fire and sword. They study the characteristics of law, and instead of perpetual growth corresponding to that of the human race, they find its distinctive trait to be immobility, a tendency to crystallize what should be modified and developed day by day.

Hermann von Helmholtz photo

“The sensations of our nerves of sense are mere symbols indicating certain external objects, and it is usually only after considerable practice that we acquire the power of drawing correct conclusions from our sensations respecting the corresponding objects.”

Hermann von Helmholtz (1821–1894) physicist and physiologist

"On the Physiological Causes of Harmony" (1857), p. 81
Popular Lectures on Scientific Subjects (1881)
Context: As you are aware, no perceptions obtained by the senses are merely sensations impressed on our nervous systems. A peculiar intellectual activity is required to pass from a nervous sensation to the conception of an external object, which the sensation has aroused. The sensations of our nerves of sense are mere symbols indicating certain external objects, and it is usually only after considerable practice that we acquire the power of drawing correct conclusions from our sensations respecting the corresponding objects.

Nicholas of Cusa photo

“For this reason You have given Your people diverse kings and seers, who are called prophets, of whom the majority instituted cults and laws corresponding to the purpose of their legation in Your name, and thus instructed the uncultivated people.”

Nicholas of Cusa (1401–1464) German philosopher, theologian, jurist, and astronomer

They subsequently accepted these laws, as if You, the King of Kings, had spoken with them face to face, and believed they heard not those men, but rather You in them.
De Pace Fidei (The Peace of Faith) (1453)

Rudolf Rocker photo

“The view which sees in every capitalist only a profit machine may very well meet the demands of propaganda, but it is conceived much too narrowly and does not correspond to reality.”

Source: Nationalism and Culture (1937), Ch. 1 "The Insufficiency of Economic Materialism"
Context: The view which sees in every capitalist only a profit machine may very well meet the demands of propaganda, but it is conceived much too narrowly and does not correspond to reality. Even in modern giant capitalism the power-political interests frequently play a larger part than the purely economic considerations, although it is difficult to separate them from each other... The morbid desire to make millions of men submissive to a definite will and to force whole empires into courses which are useful to the secret purposes of small minorities, is frequently more evident in the typical representatives of modern capitalism than are purely economic considerations or the prospect of greater material profit. The desire to heap up ever increasing profits today no longer satisfies the demands of the great capitalistic oligarchies. Every one of its members knows what enormous power the possession of great wealth places in the hands of the individual and the caste to which he belongs. This knowledge gives a tempting incentive and creates that typical consciousness of mastery whose consequences are frequently more destructive than the facts of monopoly itself.

Ethan Allen photo

“Our sensorium is that essential medium between the divine and human mind, through which God reveals to man the knowledge of nature, and is our only door of correspondence with God or with man.”

Ethan Allen (1738–1789) American general

Source: Reason: The Only Oracle Of Man (1784), Ch. V Section II - Containing Observations on the Providence and Agency of God, as it Respects the Natural and Moral World, with Strictures on Revelation in General
Context: There has in the different parts and ages of the world, been a multiplicity of immediate and wonderful discoveries, said to have been made to godly men of old by the special illumination or supernatural inspiration of God, every of which have, in doctrine, precept and instruction, been essentially different from each other, which are consequently as repugnant to truth, as the diversity of the influence of the spirit on the multiplicity of sectaries has been represented to be.
These facts, together with the premises and inferences as already deduced, are too evident to be denied, and operate conclusively against immediate or supernatural revelation in general; nor will such revelation hold good in theory any more than in practice. Was a revelation to be made known to us, it must be accommodated to our external senses, and also to our reason, so that we could come at the perception and understanding of it, the same as we do to that of things in general. We must perceive by our senses, before we can reflect with the mind. Our sensorium is that essential medium between the divine and human mind, through which God reveals to man the knowledge of nature, and is our only door of correspondence with God or with man.

Gustave Moreau photo

“I have designed a decorative and monumental work as a group of subjects representing the three ages of sacred and profane mythology: the Golden Age, the Silver Age and the Iron Age. I have symbolised these different ages by dividing each one into compositions representing the three phases of the day: morning, noon and evening.
The Golden Age comprises three compositions (Adam and childhood):
:1. Prayer at sunrise.
:2. A walk in Paradise or the ecstasy before nature.
:3. All nature asleep.
The Silver Age. The second phase is taken from pagan mythology (Orpheus and youth):
:1. The dream nature is revealed to the senses of the inspired poet.
:2. The song.
: 3. Orpheus in the forest, his lyre broken and he longs for unknown countries and immortality.
The Iron Age (Cain and the maturity of man):
:1. The Sower making the earth productive (production).
:2. The Ploughman (work).
:3. Death (Cain and Abel).
Fourth panel:
The Triumph of Christ.
These three periods of humanity also correspond to the three periods in the life of a man:
The purity of childhood: Adam –
The poetic and unhappy aspirations of youth: Orpheus –
The grievous sufferings and death of mature age: Cain with the redemption of Christ.
D— thought it was an extremely ingenious and intelligent device to have used a figure from pagan antiquity for the cycle of youth and poetry instead of a Biblical figure, because intelligence and poetry are far better personified in these periods which were devoted to art and the imagination than in the Bible which is all sentiment and religiosity.
The Golden Age: the beginning of the world, naïveté, candour, purity. The morning: prayer. Noon: ecstasy and evening: sleep. No passion, nothing but elementary feelings. —
The Silver Age, corresponding to the civilization of humanity, already begins to feel emotion; it is the age of poets. I can only find this cycle in Greece. The morning: inspiration. Noon: song. Evening: tears. —
The Iron Age. Decadence and fall of humanity. I shall represent Cain ploughing and Abel sowing. Noon: Cain rests while Abel tends the altar of the Lord from which smoke, a symbol of purity, rises straight to the heavens. The evening: death at the hands of Cain.
The first death corresponds to the other deaths in the two other paintings: sleep and death of the senses; tears and the death of the heart. Do you understand the progression?
Sleep, though sad, is gentler than tears which, though painful, are gentler than death. Ecstasy is more delightful than song, which is gentler than work. Prayer is superior to dreaming which is more elevated than manual work.”

Gustave Moreau (1826–1898) French painter

Notes to his mother, on The Life of Humanity (1884-6) http://www.wikiart.org/en/gustave-moreau/humanity-the-golden-age-depicting-three-scenes-from-the-lives-of-adam-and-eve-the-silver-age-1886, his composition of a ten image polyptych, p. 48 ·  Photo of its exhibition on the 3rd Floor of Musée National Gustave Moreau http://en.musee-moreau.fr/house-museum/studios/third-floor
Gustave Moreau (1972)

John D. Barrow photo
Stephen Wolfram photo

“Problem 9. What is the correspondence between cellular automata and continuous systems?”

Stephen Wolfram (1959) British-American computer scientist, mathematician, physicist, writer and businessman

(originally published in 1985 in Physica Scripta T9: 170–183)
Context: Problem 9. What is the correspondence between cellular automata and continuous systems?
Cellular automatat are discrete in several respects. First, they consist of a discrete spatial lattice of sites. Second, they evolve in discrete steps. And finally, each site has only a finite discrete set of possible values.
The first two forms of discreteness are addressed in the numerical analysis of approximate solutions to, say, differential equations....
The third form of discreteness in cellular automata is not so familiar from numerical analysis. It is an extreme form of round-off, in which each "number" can have only a few possible values (rather than the usual 216 or 232).

Aldous Huxley photo

“Because machines could be made progressively more and more efficient, Western man came to believe that men and societies would automatically register a corresponding moral and spiritual improvement. Attention and allegiance came to be paid, not to Eternity, but to the Utopian future.”

Aldous Huxley (1894–1963) English writer

Introduction to the Bhagavad-Gita (1944)
Context: Because machines could be made progressively more and more efficient, Western man came to believe that men and societies would automatically register a corresponding moral and spiritual improvement. Attention and allegiance came to be paid, not to Eternity, but to the Utopian future. External circumstances came to be regarded as more important than states of mind about external circumstances, and the end of human life was held to be action, with contemplation as a means to that end. These false and historically, aberrant and heretical doctrines are now systematically taught in our schools and repeated, day in, day out, by those anonymous writers of advertising copy who, more than any other teachers, provide European and American adults with their current philosophy of life. And so effective has been the propaganda that even professing Christians accept the heresy unquestioningly and are quite unconscious of its complete incompatibility with their own or anybody else’s religion.

Wolfgang Pauli photo

“It seems significant that according to quantum physics the indestructibility of energy on one hand — which expresses its timeless existence — and the appearance of energy in space and time on the other hand correspond to two contradictory (complementary) aspects of reality.”

Wolfgang Pauli (1900–1958) Austrian physicist, Nobel prize winner

"Modern Examples of Background Physics" ["Moderne Beispiele zur Hintergrundsphysik"] (1948) as translated by David Roscoe in Atom and Archetype (1992) edited by Carl Alfred Meier
Context: It seems significant that according to quantum physics the indestructibility of energy on one hand — which expresses its timeless existence — and the appearance of energy in space and time on the other hand correspond to two contradictory (complementary) aspects of reality. In fact, both are always present, but in individual cases the one or the other may be more pronounced.

“Words vary in the degree to which they correspond to verifiable referents.”

Neil Postman (1931–2003) American writer and academic

Teaching as a Subversive Activity (1969)
Context: A third kind of semantic awareness is an extension of the consciousness of abstracting, namely an awareness of varying levels of abstraction. Words vary in the degree to which they correspond to verifiable referents. Some words are relatively more abstract or general, and some words are relatively more concrete or specific. Related to this fact is a fourth kind of semantic awareness, which might be called the "direction of meaning." That is, with increasingly abstract or general words, (i. e., those farther removed from operationally verifiable referents), the direction of meaning shifts accordingly from "outside" to "inside." With increasingly concrete or specific words (i. e., those whose referents can be more easily verified operationally), the direction of meaning shifts accordingly from "inside" to "outside." The conventional semantic terminology for these directions of meaning are intensional (internal or inside) and extensional (external or outside). Closely bound to these directions of meaning are, of course, different kinds of meaning. The primary semantic distinction made in kinds of meaning is between connotation (intensional, subjective, personal meaning) and denotation (extensional, objective, social meaning).

Jean Piaget photo

“Knowing reality means constructing systems of transformations that correspond, more or less adequately, to reality.”

Jean Piaget (1896–1980) Swiss psychologist, biologist, logician, philosopher & academic

Genetic Epistemology (1968) http://www.marxists.org/reference/subject/philosophy/works/fr/piaget.htm – First lecture
Context: Knowing reality means constructing systems of transformations that correspond, more or less adequately, to reality. They are more or less isomorphic to transformations of reality. The transformational structures of which knowledge consists are not copies of the transformations in reality; they are simply possible isomorphic models among which experience can enable us to choose. Knowledge, then, is a system of transformations that become progressively adequate.

Epictetus photo

“Every habit and faculty is preserved and increased by correspondent actions,—as the habit of walking, by walking; of running, by running.”

Epictetus (50–138) philosopher from Ancient Greece

How the Semblances of Things are to be combated, Chap. xviii.
Bartlett's Familiar Quotations, 10th ed. (1919)

Alan Turing photo

“The majority of them seem to be "sub-critical," i.e., to correspond in this analogy to piles of sub-critical size. An idea presented to such a mind will on average give rise to less than one idea in reply. A smallish proportion are super-critical. An idea presented to such a mind may give rise to a whole "theory" consisting of secondary, tertiary and more remote ideas.”

Source: Computing Machinery and Intelligence (1950), p. 454.
Context: Another simile would be an atomic pile of less than critical size: an injected idea is to correspond to a neutron entering the pile from without. Each such neutron will cause a certain disturbance which eventually dies away. If, however, the size of the pile is sufficiently increased, the disturbance caused by such an incoming neutron will very likely go on and on increasing until the whole pile is destroyed. Is there a corresponding phenomenon for minds, and is there one for machines? There does seem to be one for the human mind. The majority of them seem to be "sub-critical," i. e., to correspond in this analogy to piles of sub-critical size. An idea presented to such a mind will on average give rise to less than one idea in reply. A smallish proportion are super-critical. An idea presented to such a mind may give rise to a whole "theory" consisting of secondary, tertiary and more remote ideas. Animals minds seem to be very definitely sub-critical. Adhering to this analogy we ask, "Can a machine be made to be super-critical?"

Sarvepalli Radhakrishnan photo

“The creeds of religion correspond to theories of science…”

Sarvepalli Radhakrishnan (1888–1975) Indian philosopher and statesman who was the first Vice President and the second President of India

Internet Encyclopedia of Philosophy
Context: The creeds of religion correspond to theories of science... intuitions of the human soul should be studied by the methods which are adopted with such great success in the region of positive science.

Arthur Stanley Eddington photo

“The casting of the net corresponds to observation; for knowledge which has not been or could not be obtained by observation is not admitted into physical science.
An onlooker may object that the first generalisation is wrong. "There are plenty of sea-creatures under two inches long, only your net is not adapted to catch them." The icthyologist dismisses this objection contemptuously.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

The Philosophy of Physical Science (1938)
Context: Let us suppose that an ichthyologist is exploring the life of the ocean. He casts a net into the water and brings up a fishy assortment. Surveying his catch, he proceeds in the usual manner of a scientist to systematise what it reveals. He arrives at two generalisations: No sea-creature is less than two inches long. (2) All sea-creatures have gills. These are both true of his catch, and he assumes tentatively that they will remain true however often he repeats it.
In applying this analogy, the catch stands for the body of knowledge which constitutes physical science, and the net for the sensory and intellectual equipment which we use in obtaining it. The casting of the net corresponds to observation; for knowledge which has not been or could not be obtained by observation is not admitted into physical science.
An onlooker may object that the first generalisation is wrong. "There are plenty of sea-creatures under two inches long, only your net is not adapted to catch them." The icthyologist dismisses this objection contemptuously. "Anything uncatchable by my net is ipso facto outside the scope of icthyological knowledge. In short, what my net can't catch isn't fish." Or — to translate the analogy — "If you are not simply guessing, you are claiming a knowledge of the physical universe discovered in some other way than by the methods of physical science, and admittedly unverifiable by such methods. You are a metaphysician. Bah!"

Albert Einstein photo

“I prefer an attitude of humility corresponding to the weakness of our intellectual understanding of nature and of our own being.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Letter to Guy H. Raner Jr. (28 September 1949), from article by Michael R. Gilmore in Skeptic magazine, Vol. 5, No. 2 (1997)
1940s
Context: I have repeatedly said that in my opinion the idea of a personal God is a childlike one. You may call me an agnostic, but I do not share the crusading spirit of the professional atheist whose fervor is mostly due to a painful act of liberation from the fetters of religious indoctrination received in youth. I prefer an attitude of humility corresponding to the weakness of our intellectual understanding of nature and of our own being.

Robert Graves photo

“The habit of obscurity is partly caused by a settled disinclination among public servants to give a definite refusal even where assent is out of the question; or to convey a vigorous rebuke even where, in private correspondence, any person with self-respect would feel bound to do so.”

Robert Graves (1895–1985) English poet and novelist

Source: The Reader Over Your Shoulder (1943), Ch.4: "The Use and Abuse of Official English"
Context: The chief trouble with the official style is that it spreads far beyond the formal contexts to which it is suited. Most civil servants, having learned to write in this way, cannot throw off the habit. The obscurity of their public announcements largely accounts for the disrepute into which Departmental activities have fallen: for the public naturally supposes that Departments are as muddled and stodgy as their announcements.
The habit of obscurity is partly caused by a settled disinclination among public servants to give a definite refusal even where assent is out of the question; or to convey a vigorous rebuke even where, in private correspondence, any person with self-respect would feel bound to do so. The mood is conveyed by a polite and emasculated style — polite because, when writing to a member of the public, the public servant is, in theory at least, addressing one of his collective employers; emasculated because, as a cog in the Government machine, he must make his phrases look as mechanical as possible by stripping them of all personal feeling and opinion.

Bill Bailey photo
Charles Lindbergh photo

“There may be a series of wars, one after another, going on indefinitely.
Possibly the world will come to its senses sooner than I expect. But, as I have often said, the environment of human life has changed more rapidly and more extensively in recent years than it has ever changed before. When environment changes, there must be a corresponding change in life. That change must be so great that it is not likely to be completed in a decade or in a generation.”

Charles Lindbergh (1902–1974) American aviator, author, inventor, explorer, and social activist

Journal entry (11 December 1941); later published in The Wartime Journals (1970)
Context: We talk about spreading democracy and freedom all over the world, but they are to us words rather than conditions. We haven't even got them here in America, and the farther we get into this war the farther we get away from democracy and freedom. Where is it leading us to, and when will it end? The war might stop this winter, but that is improbable. It may go on for fifty years or more. That also is improbable. The elements are too conflicting and confused to form any accurate judgment of its length. There may be a series of wars, one after another, going on indefinitely.
Possibly the world will come to its senses sooner than I expect. But, as I have often said, the environment of human life has changed more rapidly and more extensively in recent years than it has ever changed before. When environment changes, there must be a corresponding change in life. That change must be so great that it is not likely to be completed in a decade or in a generation.

James Madison photo

“To cherish peace and friendly intercourse with all nations having correspondent dispositions; to maintain sincere neutrality toward belligerent nations; to prefer in all cases amicable discussion and reasonable accommodation of differences to a decision of them by an appeal to arms; to exclude foreign intrigues and foreign partialities, so degrading to all countries and so baneful to free ones; to foster a spirit of independence too just to invade the rights of others, too proud to surrender our own, too liberal to indulge unworthy prejudices ourselves and too elevated not to look down upon them in others”

James Madison (1751–1836) 4th president of the United States (1809 to 1817)

1800s, Inaugural address (1809)
Context: p>I repair to the post assigned me with no other discouragement than what springs from my own inadequacy to its high duties. If I do not sink under the weight of this deep conviction it is because I find some support in a consciousness of the purposes and a confidence in the principles which I bring with me into this arduous service...To cherish peace and friendly intercourse with all nations having correspondent dispositions; to maintain sincere neutrality toward belligerent nations; to prefer in all cases amicable discussion and reasonable accommodation of differences to a decision of them by an appeal to arms; to exclude foreign intrigues and foreign partialities, so degrading to all countries and so baneful to free ones; to foster a spirit of independence too just to invade the rights of others, too proud to surrender our own, too liberal to indulge unworthy prejudices ourselves and too elevated not to look down upon them in others; to hold the union of the States as the basis of their peace and happiness; to support the Constitution, which is the cement of the Union, as well in its limitations as in its authorities; to respect the rights and authorities reserved to the States and to the people as equally incorporated with and essential to the success of the general system; to avoid the slightest interference with the right of conscience or the functions of religion, so wisely exempted from civil jurisdiction; to preserve in their full energy the other salutary provisions in behalf of private and personal rights, and of the freedom of the press; to observe economy in public expenditures; to liberate the public resources by an honorable discharge of the public debts; to keep within the requisite limits a standing military force, always remembering that an armed and trained militia is the firmest bulwark of republics — that without standing armies their liberty can never be in danger, nor with large ones safe; to promote by authorized means improvements friendly to agriculture, to manufactures, and to external as well as internal commerce; to favor in like manner the advancement of science and the diffusion of information as the best aliment to true liberty; to carry on the benevolent plans which have been so meritoriously applied to the conversion of our aboriginal neighbors from the degradation and wretchedness of savage life to a participation of the improvements of which the human mind and manners are susceptible in a civilized state — as far as sentiments and intentions such as these can aid the fulfillment of my duty, they will be a resource which can not fail me.</p

“You care enough, that you want your life to be fulfilled in a living way, not in a painting way, not in a writing way…you really do want it to be involving in living, corresponding with other living objects, moving, changing, that kind of thing.”

Edie Sedgwick (1943–1971) Socialite, actress, model

Edie : Girl On Fire (2006)
Context: You care enough, that you want your life to be fulfilled in a living way, not in a painting way, not in a writing way... you really do want it to be involving in living, corresponding with other living objects, moving, changing, that kind of thing.

Errico Malatesta photo

“In the anarchist milieu, communism, individualism, collectivism, mutualism and all the intermediate and eclectic programmes are simply the ways considered best for achieving freedom and solidarity in economic life; the ways believed to correspond more closely with justice and freedom for the distribution of the means of production and the products of labour among men.”

Errico Malatesta (1853–1932) Italian anarchist

Note to the article 'Individualism and Anarchism' by Adams (1924)
Context: In the anarchist milieu, communism, individualism, collectivism, mutualism and all the intermediate and eclectic programmes are simply the ways considered best for achieving freedom and solidarity in economic life; the ways believed to correspond more closely with justice and freedom for the distribution of the means of production and the products of labour among men.
Bakunin was an anarchist, and he was a collectivist, an outspoken enemy of communism because he saw in it the negation of freedom and, therefore, of human dignity. And with Bakunin, and for a long time after him, almost all the Spanish anarchists were collectivists (collective property of soil, raw materials and means of production, and assignment of the entire product of labour to the producer, after deducting the necessary contribution to social charges), and yet they were among the most conscious and consistent anarchists.
Others for the same reason of defence and guarantee of liberty declare themselves to be individualists and they want each person, to have as individual property the part that is due to him of the means of production and therefore the free disposal of the products of his labour.
Others invent more or less complicated system of mutuality. But in the long run it is always the searching for a more secure guarantee of freedom which is the common factor among anarchists, and which divides them into different schools.

Henrietta Swan Leavitt photo

“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.

Julia Ward Howe photo

“The reason which placed the stars, the sense of proportion which we recognize in the planetary system, finds its correspondence in this brain of ours.”

Julia Ward Howe (1819–1910) American abolitionist, social activist, and poet

Beyond the Veil
Context: The reason which placed the stars, the sense of proportion which we recognize in the planetary system, finds its correspondence in this brain of ours. We question every feature of what we see, think, and feel. We try every link of the chain and find it sound if we ourselves are sound. This power of remotest question and assent is not of to-day nor yesterday.
It transcends all bounds of time and space. It weighs the sun, explores the pathway of the stars, and writes, having first carefully read, the history of earth and heaven. It moves in company with the immortals. How much of it is mortal? Only so much as a small strip of earth can cover. These remains are laid away with reverence, having served their time. But what has become of the wonderful power which made them alive? It belongs to that in nature which cannot die.

Giuseppe Peano photo

“All systems which satisfy the five primitive propositions are in one-to-one correspondence with the natural numbers.”

Giuseppe Peano (1858–1932) Italian mathematician

On what became knows as the Peano axioms, in "I fondamenti dell’aritmetica nel Formulario del 1898", in Opere Scelte Vol. III (1959), edited by Ugo Cassina, as quoted in "The Mathematical Philosophy of Giuseppe Peano" by Hubert C. Kennedy, in Philosophy of Science Vol. 30, No. 3 (July 1963)
Context: These primitive propositions … suffice to deduce all the properties of the numbers that we shall meet in the sequel. There is, however, an infinity of systems which satisfy the five primitive propositions. … All systems which satisfy the five primitive propositions are in one-to-one correspondence with the natural numbers. The natural numbers are what one obtains by abstraction from all these systems; in other words, the natural numbers are the system which has all the properties and only those properties listed in the five primitive propositions

Sören Kierkegaard photo

“Anxiety and nothing always correspond to each other.”

Sören Kierkegaard (1813–1855) Danish philosopher and theologian, founder of Existentialism

Source: 1840s, The Concept of Anxiety (1844), p. 96-97
Context: Anxiety and nothing always correspond to each other. As soon as the actuality of freedom and of spirit is posited, anxiety is canceled. But what then does the nothing of anxiety signify more particularly in paganism. This is fate. Fate is a relation to spirit as external. It is the relation between spirit and something else that is not spirit and to which fate nevertheless stands in a spiritual relation. Fate may also signify exactly the opposite, because it is the unity of necessity and accidental. … A necessity that is not conscious of itself is eo ipso the accidental in relation to the next moment. Fate, then, is the nothing of anxiety.

Calvin Coolidge photo

“The doctrine of the Declaration of Independence predicated upon the glory of man and the corresponding duty to society that the rights of citizens ought to be protected with every power and resource of the state, and a government that does any less is false to the teachings of that great document — false to the name American.”

Calvin Coolidge (1872–1933) American politician, 30th president of the United States (in office from 1923 to 1929)

1920s, Equal Rights (1920)
Context: The doctrine of the Declaration of Independence predicated upon the glory of man and the corresponding duty to society that the rights of citizens ought to be protected with every power and resource of the state, and a government that does any less is false to the teachings of that great document — false to the name American. The assertion of human rights is naught but a call to human sacrifice. This is yet the spirit of the American people. Only so long as this flame burns shall we endure, and the light of liberty be shed over the nations of the earth. May the increase of the years increase for America only the devotion to this spirit, only the intensity of this flame, and the eternal truth of [Lowell's] lines: "What were our lives without thee, what all our lives to save thee, we reck not what we gave thee, we will not dare to doubt thee; but ask whatever else and we will dare".

George Long photo

“If you merely teach dogmas dogmatically, you are not teaching in the sense in which I understand teaching… and learning… does not consist merely in knowing: it is not learning unless there is some corresponding doing.”

George Long (1800–1879) English classical scholar

An Old Man's Thoughts on Many Things, Of Education I
Context: I have said nothing about religious teaching as one of the means of forming a good character.... I, who am not a teacher of religion, do not presume to say how it should be taught, so taught as to be practical. If you merely teach dogmas dogmatically, you are not teaching in the sense in which I understand teaching... and learning... does not consist merely in knowing: it is not learning unless there is some corresponding doing.

Richard Francis Burton photo

“I am an individual … a circle touching and intersecting my neighbours at certain points, but nowhere corresponding, nowhere blending.”

Richard Francis Burton (1821–1890) British explorer, geographer, translator, writer, soldier, orientalist, cartographer, ethnologist, spy, lin…

The Kasîdah of Hâjî Abdû El-Yezdî (1870), Note I : Hâjî Abdû, The Man
Context: I am an individual … a circle touching and intersecting my neighbours at certain points, but nowhere corresponding, nowhere blending. Physically I am not identical in all points with other men. Morally I differ from them: in nothing do the approaches of knowledge, my five organs of sense (with their Shelleyan "interpenetration"), exactly resemble those of any other being. Ergo, the effect of the world, of life, of natural objects, will not in my case be the same as with the beings most resembling me. Thus I claim the right of creating or modifying for my own and private use, the system which most imports me; and if the reasonable leave be refused to me, I take it without leave.
But my individuality, however all-sufficient for myself, is an infinitesimal point, an atom subject in all things to the Law of Storms called Life. I feel, I know that Fate is. But I cannot know what is or what is not fated to befall me. Therefore in the pursuit of perfection as an individual lies my highest, and indeed my only duty, the "I" being duly blended with the "We." I object to be a "self-less man," which to me denotes an inverted moral sense. I am bound to take careful thought concerning the consequences of every word and deed. When, however, the Future has become the Past, it would be the merest vanity for me to grieve or to repent over that which was decreed by universal Law.

“The idea that theorems follow from the postulates does not correspond to simple observation.”

Richard Hamming (1915–1998) American mathematician and information theorist

The Unreasonable Effectiveness of Mathematics (1980)
Context: The idea that theorems follow from the postulates does not correspond to simple observation. If the Pythagorean theorem were found to not follow from the postulates, we would again search for a way to alter the postulates until it was true. Euclid's postulates came from the Pythagorean theorem, not the other way around.

Jean Piaget photo

“This, of course, does not prevent some rules from containing more than others an element of rationality, thus corresponding to the deepest fundamental constants of human nature.”

Jean Piaget (1896–1980) Swiss psychologist, biologist, logician, philosopher & academic

Source: The Moral Judgment of the Child (1932), Ch. 2 : Adult Constraint and Moral Realism <!-- p. 183 -->
Context: As Bovet has demonstrated in the field of morals, rules do not appear in the mind of the child as innate facts, but as facts that are transmitted to him by his seniors, and to which from his tenderest years he has to conform by means of a sui generis form of adaptation. This, of course, does not prevent some rules from containing more than others an element of rationality, thus corresponding to the deepest fundamental constants of human nature. But whether they be rational or simply a matter of usage and consensus of opinion, rules imposed on the childish mind by adult constraint do begin by presenting a more or less uniform character of exteriority and sheer authority. So that instead of passing smoothly from an early individualism (the "social" element of the first months is only biologically social, so to speak, inside the individual, and therefore individualistic) to a state of progressive cooperation, the child is from his first year onwards in the grip of coercive education which goes straight on and ends by producing what Claprède has so happily called a veritable "short circuit."

William Crookes photo

“I will point out a curious, inveterate, and widespread illusion — the illusion that our earthly bodies are a kind of norm of humanity, so that ethereal bodies, if such there be, must correspond to them in shape and size.”

William Crookes (1832–1919) British chemist and physicist

Address to the Society for Psychical Research (1897)
Context: I will point out a curious, inveterate, and widespread illusion — the illusion that our earthly bodies are a kind of norm of humanity, so that ethereal bodies, if such there be, must correspond to them in shape and size.
When we take a physical view of a human being in his highest form of development, he is seen to consist essentially of a thinking brain, the brain itself, among its manifold functions, being a transformer whereby intelligent will power is enabled to react on matter. To communicate with the external world, the brain requires organs by which it can be transported from place to place, and other organs by means of which energy is supplied to replace that expended in the exercise of its own special functions.

Ralph Waldo Emerson photo

“Such an irreconcilable antagonism of course must have a correspondent depth of seat in the human constitution. It is the opposition of Past and Future, of Memory and Hope, of the Understanding and the Reason. It is the primal antagonism, the appearance in trifles of the two poles of nature.”

Ralph Waldo Emerson (1803–1882) American philosopher, essayist, and poet

1840s, The Conservative (1841)
Context: The two parties which divide the state, the party of Conservatism and that of Innovation, are very old, and have disputed the possession of the world ever since it was made. This quarrel is the subject of civil history. The conservative party established the reverend hierarchies and monarchies of the most ancient world. The battle of patrician and plebeian, of parent state and colony, of old usage and accommodation to new facts, of the rich and the poor, reappears in all countries and times. The war rages not only in battle-fields, in national councils and ecclesiastical synods, but agitates every man’s bosom with opposing advantages every hour. On rolls the old world meantime, and now one, now the other gets the day, and still the fight renews itself as if for the first time, under new names and hot personalities.
Such an irreconcilable antagonism of course must have a correspondent depth of seat in the human constitution. It is the opposition of Past and Future, of Memory and Hope, of the Understanding and the Reason. It is the primal antagonism, the appearance in trifles of the two poles of nature.

H. H. Asquith photo
Karl Barth photo
Benjamin Creme photo
Enoch Powell photo
Fidel Castro photo

“It is a fundamental principle of criminal law that an imputed offense must correspond exactly to the type of crime described by law. If no law applies exactly to the point in question, then there can be no offense.”

Fidel Castro (1926–2016) former First Secretary of the Communist Party and President of Cuba

Ibid. p. 53
History Will Absolve Me (October 16th, 1953)

Rajendra Prasad photo
Baruch Spinoza photo
Johann Gottlieb Fichte photo
Gunnar Myrdal photo
Ptolemy photo
Alex Miller photo

“The merging of different motif areas in her drawings and the transformation of spacial relationships into flat correspondences gathers towards a distortion of depicted reality and the dissolution of its phenomenal form.”

I didn't try to reach the sense of this. I understood the point of it was to transpose the locus of authority from the works to the discussion of the works. The writer had assumed the role of validating authority for the images he discussed. In order to do this he had been required to transform what he saw with his eyes into ideologies that he could 'see' with his intellect.
Page 18.
The Ancestor Game (1992)

Jan Assmann photo
Joseph Weizenbaum photo
Eduard Bernstein photo
Alan Turing photo
Arthur Stanley Eddington photo
Dorothy Thompson photo

“The attempts of some of our school authorities to prevent students from learning anything about Communism, for instance, are futile. Newspapers exist; correspondents report; people travel. It is quite impossible to act as though Russia did not exist, or were as inaccessible and mysterious as Mars.”

Dorothy Thompson (1893–1961) American journalist and radio broadcaster

A Study of American Liberalism and its Relationship to Modern Totalitarian States (1938)
p. 42
Dorothy Thompson’s Political Guide: A Study of American Liberalism and its Relationship to Modern Totalitarian States (1938)

Alan Turing photo

“Another favorite means of arresting the attention was by modulation; not used in a constructive in different keys, but to furnish the ear with a purely sensuous delight, corresponding to that which the eye derives from the kaleidoscopic colors of a sunset.”

Walter Raymond Spalding (1865–1962) American music pedagogue and author

Pages 164–165 https://books.google.com/books?id=pQARAAAAIAAJ&pg=PA164.
Music: An Art and a Language (1920), The Romantic Composers. Schubert and Weber (Ch. XII)

Chris Hedges photo

“Most war correspondents, for the first twenty-four hours, think they learn their job from movies until they get shot at.”

Chris Hedges (1956) American journalist

Source: On Contact: Business secrets of drug dealing https://www.youtube.com/watch?v=_5U3eSPvfMo&t=285s RT America, November 20, 2021

Stepan Bandera photo
Sooronbay Jeenbekov photo

“We are deeply convinced that it is the parliamentary democracy that corresponds to the nature of the development of our society.”

Sooronbay Jeenbekov (1958) President of Kyrgyzstan

"Sooronbay Jeenbekov addresses 73rd session of UN General Assembly" http://en.kabar.kg/news/sooronbay-jeenbekov-addresses-73rd-session-of-un-general-assembly/ (26 September 2018)

Zafar Mirzo photo