Quotes about analogy
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George Pólya photo

“Life is full of surprises: our approximate condition for the fall of a body through a resisting medium is precisely analogous to the exact condition for the flow of an electric current through a resisting wire”

George Pólya (1887–1985) Hungarian mathematician

Mathematical Methods in Science (1977)
Context: Life is full of surprises: our approximate condition for the fall of a body through a resisting medium is precisely analogous to the exact condition for the flow of an electric current through a resisting wire [of an induction coil]....
m\frac {dv}{dt} = mg - Kv
This is the form most convenient for making an analogy with the "fall", i. e., flow, of an electric current.
... in order from left to right, mass m, rate of change of velocity \frac {dv}{dt}, gravitational force mg, and velocity v. What are the electrical counterparts?... To press the switch, to allow current to start flowing is the analogue of opening the fingers, to allow the body to start falling. The fall of the body is caused by the force mg due to gravity; the flow of the current is caused by the electromotive force or tension E due to the battery. The falling body has to overcome the frictional resistance of the air; the flowing current has to overcome the electrical resistance of the wire. Air resistance is proportional to the body's velocity v; electrical resistance is proportional to the current i. And consequently rate of change of velocity \frac {dv}{dt} corresponds to rate of change of current \frac {di}{dt}.... The electromagnetic induction L opposes the change of current... And doesn't the inertia or mass m..? Isn't L, so to speak, an electromagnetic inertia?
L\frac {di}{dt} = E - Ki

“I cannot look around me without being struck with the analogy observable in the works of God.”

Richard Cecil (clergyman) (1748–1810) British Evangelical Anglican priest and social reformer

Source: Dictionary of Burning Words of Brilliant Writers (1895), p. 31.
Context: I cannot look around me without being struck with the analogy observable in the works of God. I find the Bible written in the style of His other books of Creation and Providence. The pen seems in the same hand. I see it, indeed, write at times mysteriously in each of these books; thus I know that mystery in the works of God is only another name for my ignorance. The moment, therefore, that I become humble, all becomes right.

James Anthony Froude photo

“The first state of mankind is the unreflecting state. The nature is undeveloped, looking neither before nor after; it acts on the impulse of the moment, and is troubled with no weary retrospect, nor with any notions of a remote future which present conduct can affect; and knowing neither good nor evil, better or worse, it does simply what it desires, and is happy in it. It is the state analogous to the early childhood of each of us, and is represented in the common theory of Paradise — the state of innocence.”

Fragments of Markham's notes
The Nemesis of Faith (1849)
Context: Our instinct has outrun our theory in this matter; for while we still insist upon free will and sin, we make allowance for individuals who have gone wrong, on the very ground of provocation, of temptation, of bad education, of infirm character. By and by philosophy will follow, and so at last we may hope for a true theory of morals. It is curious to watch, in the history of religious beliefs, the gradual elimination of this monster of moral evil. The first state of mankind is the unreflecting state. The nature is undeveloped, looking neither before nor after; it acts on the impulse of the moment, and is troubled with no weary retrospect, nor with any notions of a remote future which present conduct can affect; and knowing neither good nor evil, better or worse, it does simply what it desires, and is happy in it. It is the state analogous to the early childhood of each of us, and is represented in the common theory of Paradise — the state of innocence.

Henri Poincaré photo

“What has taught us to know the true profound analogies, those the eyes do not see but reason divines?
It is the mathematical spirit, which disdains matter to cling only to pure form.”

Source: The Value of Science (1905), Ch. 5: Analysis and Physics
Context: All laws are... deduced from experiment; but to enunciate them, a special language is needful... ordinary language is too poor...
This... is one reason why the physicist can not do without mathematics; it furnishes him the only language he can speak. And a well-made language is no indifferent thing;
... the analyst, who pursues a purely esthetic aim, helps create, just by that, a language more fit to satisfy the physicist.
... law springs from experiment, but not immediately. Experiment is individual, the law deduced from it is general; experiment is only approximate, the law is precise...
In a word, to get the law from experiment, it is necessary to generalize... But how generalize?... in this choice what shall guide us?
It can only be analogy.... What has taught us to know the true profound analogies, those the eyes do not see but reason divines?
It is the mathematical spirit, which disdains matter to cling only to pure form.<!--pp.76-77

“Subjective conscious mind is an analog of what is called the real world.”

Book I, Chapter 2, p. 55
The Origin of Consciousness in the Breakdown of the Bicameral Mind (1976)
Context: Subjective conscious mind is an analog of what is called the real world. It is built up with a vocabulary or lexical field whose terms are all metaphors or analogs of behavior in the physical world. Its reality is of the same order as mathematics. It allows us to shortcut behavioral processes and arrive at more adequate decisions. Like mathematics, it is an operator rather than a thing or repository. And it is intimately bound up with volition and decision.

Edwin Abbott Abbott photo

“There, before my ravished eye, a Cube, moving in some altogether new direction, but strictly according to Analogy, so as to make every particle of his interior pass through a new kind of Space, with a wake of its own — shall create a still more perfect perfection than himself, with sixteen terminal Extra-solid angles, and Eight solid Cubes for his Perimeter. And once there, shall we stay our upward course? In that blessed region of Four Dimensions, shall we linger on the threshold of the Fifth, and not enter therein?”

Source: Flatland: A Romance of Many Dimensions (1884), PART II: OTHER WORLDS, Chapter 19. How, Though the Sphere Showed Me Other Mysteries of Spaceland, I Still Desired More; and What Came of It
Context: p>Those who have thus appeared — no one knows whence — and have returned — no one knows whither — have they also contracted their sections and vanished somehow into that more Spacious Space, whither I now entreat you to conduct me?SPHERE (MOODILY). They have vanished, certainly — if they ever appeared. But most people say that these visions arose from the thought — you will not understand me — from the brain; from the perturbed angularity of the Seer.I. Say they so? Oh, believe them not. Or if it indeed be so, that this other Space is really Thoughtland, then take me to that blessed Region where I in Thought shall see the insides of all solid things. There, before my ravished eye, a Cube, moving in some altogether new direction, but strictly according to Analogy, so as to make every particle of his interior pass through a new kind of Space, with a wake of its own — shall create a still more perfect perfection than himself, with sixteen terminal Extra-solid angles, and Eight solid Cubes for his Perimeter. And once there, shall we stay our upward course? In that blessed region of Four Dimensions, shall we linger on the threshold of the Fifth, and not enter therein? Ah, no! Let us rather resolve that our ambition shall soar with our corporal ascent. Then, yielding to our intellectual onset, the gates of the Sixth Dimension shall fly open; after that a Seventh, and then an Eighth —How long I should have continued I know not. In vain did the Sphere, in his voice of thunder, reiterate his command of silence, and threaten me with the direst penalties if I persisted. Nothing could stem the flood of my ecstatic aspirations. Perhaps I was to blame; but indeed I was intoxicated with the recent draughts of Truth to which he himself had introduced me. However, the end was not long in coming. My words were cut short by a crash outside, and a simultaneous crash inside me, which impelled me through space with a velocity that precluded speech. Down! down! down! I was rapidly descending; and I knew that return to Flatland was my doom. One glimpse, one last and never-to-be-forgotten glimpse I had of that dull level wilderness — which was now to become my Universe again — spread out before my eye. Then a darkness. Then a final, all-consummating thunder-peal; and, when I came to myself, I was once more a common creeping Square, in my Study at home, listening to the Peace-Cry of my approaching Wife.</p

George Raymond Richard Martin photo

“There are many different kinds of writers, I like to use the analogy of architects and gardeners.”

George Raymond Richard Martin (1948) American writer, screenwriter and television producer

Audio Interview http://www.geekson.com/archives/archiveepisodes/2006/episode080406.htm with Geekson http://www.geekson.com in Episode 54, (4 August 2006)
Context: There are many different kinds of writers, I like to use the analogy of architects and gardeners. There are some writers who are architects, and they plan everything, they blueprint everything, and they know before the drive the first nail into the first board what the house is going to look like and where all the closets are going to be, where the plumbing is going to run, and everything is figured out on the blueprints before they actually begin any work whatsoever. And then there are gardeners who dig a little hole and drop a seed in and water it with their blood and see what comes up, and sort of shape it. They sort of know what seed they've planted — whether it's an oak or an elm, or a horror story or a science fiction story, but they don't how big it's going to be, or what shape it's going to take. I am much more a gardener than an architect.

Immanuel Kant photo

“Their analogy with our own system of stars”

Immanuel Kant (1724–1804) German philosopher

Free translation, as quoted by Edwin Powell Hubble, The Realm of the Nebulae (1936)
An Original Theory or New Hypothesis of the Universe (1750)
Context: I come now to another part of my system, and because it suggests a lofty idea of the plan of creation, it appears to me as the most seductive. The sequence of ideas that led us to it is very simple and natural. They are as follows: let us imagine a system of stars gathered together in a common plane, like those of the Milky Way, but situated so far away from us that even with the telescope we cannot distinguish the stars composing it; let us assume that its distance, compared to that separating us from the stars of the Milky Way, is the same proportion as the Milky Way is to the distance from the earth to the sun; such a stellar world will appear to the observer, who contemplates it at so enormous a distance, only as a little spot feebly illumined and subtending a very small angle; its shape will be circular, if its plane is perpendicular to the line of sight, elliptical, if it is seen obliquely. The faintness of its light, its form, and its appreciable diameter will obviously distinguish such a phenomenon from the isolated stars around it.
We do not need to seek far in the observations of astronomers to meet with such phenomena. They have been seen by various observers, who have wondered at their strange appearance, have speculated about them, and have suggested some times the most amazing explanations, sometimes theories which were more rational, but which had no more foundation than the former. We refer to the nebulæ, or, more precisely, to a particular kind of celestial body which M. de Maupertius describes as follows:
"These are small luminous patches, only slightly more brilliant than the dark background of the sky; they have this in common, that their shapes are more or less open elipses; and their light is far more feeble than that of any other objects to be perceived in the heavens."
... It is much more natural and reasonable to assume that a nebula is not a unique and solitary sun, but a system of numerous suns, which appear crowded, because of their distance, into a space so limited that their light, which would be imperceptible were each of them isolated, suffices, owing to their enormous numbers, to give a pale and uniform luster. Their analogy with our own system of stars; their form, which is precisely what it should be according to our theory; the faintness of their light, which denotes an infinite distance; all are in admirable accord and lead us to consider these elliptical spots as systems of the same order as our own—in a word, to be Milky Ways similar to the one whose constitution we have explained. And if these hypotheses, in which analogy and observation consistently lend mutual support, have the same merit as formal demonstrations, we must consider the existence of such systems as demonstrated...
We see that scattered through space out to infinite distances, there exist similar systems of stars [nebulous stars, nebulæ], and that creation, in the whole extent of its infinite grandeur, is everywhere organized into systems whose members are in relation with one another.... A vast field lies open to discoveries, and observations alone will give the key.

Robert M. Pirsig photo

“Everything is an analogy. But the dialecticians don't know that.”

Source: Zen and the Art of Motorcycle Maintenance (1974), Ch. 30
Context: Fantastic, Phædrus thinks, that he should have remembered that. It just demolishes the whole dialectical position. That may just be the whole show right there. Of course it's an analogy. Everything is an analogy. But the dialecticians don't know that.

John Ruskin photo

“We are to remember, in the first place, that the arrangement of colours and lines is an art analogous to the composition of music, and entirely independent of the representation of facts.”

Volume II, chapter VI, section 42.
The Stones of Venice (1853)
Context: We are to remember, in the first place, that the arrangement of colours and lines is an art analogous to the composition of music, and entirely independent of the representation of facts. Good colouring does not necessarily convey the image of anything but itself. It consists of certain proportions and arrangements of rays of light, but not in likeness to anything. A few touches of certain greys and purples laid by a master's hand on white paper will be good colouring; as more touches are added beside them, we may find out that they were intended to represent a dove's neck, and we may praise, as the drawing advances, the perfect imitation of the dove's neck. But the good colouring does not consist in that imitation, but in the abstract qualities and relations of the grey and purple.

Lucretius photo

“So far as it goes, a small thing may give an analogy of great things, and show the tracks of knowledge.”
Dum taxat, rerum magnarum parva potest res exemplare dare et vestigia notitiai.

Lucretius (-94–-55 BC) Roman poet and philosopher

Dum taxat, rerum magnarum parva potest res
exemplare dare et vestigia notitiae.
Book II, lines 123–124 (tr. Rouse)
De Rerum Natura (On the Nature of Things)

John D. Barrow photo

“The abstractions of Einstein's curved space and time gave rise to analogies and pictures that played a new explanatory role.”

John D. Barrow (1952–2020) British scientist

Cosmic Imagery: Key Images in the History of Science (2008)
Context: The abstractions of Einstein's curved space and time gave rise to analogies and pictures that played a new explanatory role. Space and time gave way to space-time, visible light was augmented by images across the rest of the electromagnetic spectrum, and we realised that we could see back towards the apparent beginnings of time.<!--part. 1, p. 8

Chögyam Trungpa photo
Eliphas Levi photo
Franz Bardon photo
Karel Čapek photo
Isi Leibler photo
Marilyn Ferguson photo
Johann Gottfried Herder photo

“Should there not be manifest progress and development but in a higher sense than people have imagined it? … No one is in his age alone, he builds on the preceding one, this becomes nothing but the foundation of the future, wants to be nothing but that — this is what we are told by the analogy in nature, God’s speaking exemplary model in all works! Manifestly so in the human species!”

Johann Gottfried Herder (1744–1803) German philosopher, theologian, poet, and literary critic

"This Too a Philosophy of History for the Formation of Humanity" ["Auch eine Philosophie zur Geschichte der Menscheit"] (1774), as translated by Michael N. Forster, in Johann Gottlieb von Herder: Philosophical Writings (2002), edited by Michael N. Forster, p. 299

Jean Paul Sartre photo

“The anti‐Semite understands nothing about modern society. He would be incapable of conceiving of a constructive plan; his action cannot reach the level of the methodical; it remains on the ground of passion. To a long‐term enterprise he prefers an explosion of rage analogous to the running amuck of the Malays. His intellectual activity is confined to interpretation; he seeks in historical events the signs of the presence of an evil power. Out of this spring those childish and elaborate fabrications which give him his resemblance to the extreme paranoiacs. In addition, anti‐Semitism channels evolutionary drives toward the destruction of certain men, not of institutions. An anti‐Semitic mob will consider it has done enough when it has massacred some Jews and burned a few synagogues. It represents, therefore, a safety valve for the owning classes, who encourage it and thus substitute for a dangerous hate against their regime a beneficent hate against particular people. Above all this naive dualism is eminently reassuring to he anti‐Semite himself. If all he has to do is to remove Evil, that means that the Good is already given.”

He has no need to seek it in anguish, to invent it, to scrutinize it patiently when he has found it, to prove it in action, to verify it by its consequences, or, finally, to shoulder he responsibilities of the moral choice be has made. It is not by chance that the great outbursts of anti‐Semitic rage conceal a basic optimism. The anti‐Semite as cast his lot for Evil so as not to have to cast his lot for Good. The more one is absorbed in fighting Evil, the less one is tempted to place the Good in question. One does not need to talk about it, yet it is always understood in the discourse of the anti‐Semite and it remains understood in his thought. When he has fulfilled his mission as holy destroyer, the Lost Paradise will reconstitute itself. For the moment so many tasks confront the anti‐Semite that he does not have time to think about it. He is in the breach, fighting, and each of his outbursts of rage is a pretext to avoid the anguished search for the Good.
Pages 31-32
Anti-Semite and Jew (1945)

Mike Rosen photo

“Television is to news as a bumper sticker is to Shakespeare. I remember hearing an analogy once that went something like that. Your typical nightly, 35-minute TV news broadcast is a headline service with pictures. Five minutes of police-blotter reporting - fires, murders, car accidents, etc.”

Mike Rosen (1944) American political pundit

five minutes of human-interest stories and small talk, five minutes of weather, five minutes of sports, ten minutes of commercials, and maybe a minute or two for business, science, politics, and affairs of the world.
July 3, 1998 Denver Post column

Ansel Adams photo

“Yes, in the sense that the negative is like the composer’s score. Then, using that musical analogy, the print is the performance.”

Ansel Adams (1902–1984) American photographer and environmentalist

Paraphrased as "Film is the score and the print is the performance."
Sheff
David
May 1983
Playboy
http://davidsheff.com/article/ansel-adams/
Playboy Interview: Ansel Adams
226

Neal Stephenson photo
Elon Musk photo

“So, I think the best analogy for rocket engineers, if you want to create complicated software, you can't run as an integrated whole, or run on the computer it's intended to run on, but, first time you run it, it has to run with no bugs. That's the essence of it. So ... we missed the mark there.”

Elon Musk (1971) South African-born American entrepreneur

Caltech Commencement Address http://commencement.caltech.edu/archive/speakers/2012_address - 2012
Quotes https://www.wewishes.com/elon-musk-quotes/, Conversation: Elon Musk on Wired Science (2007), Foreword to Marc Kaufman's Mars Up Close: Inside the Curiosity Mission https://books.google.com/books/about/Mars_Up_Close.html?id=o6XaCwAAQBAJ&hl=en. National Geographic. ISBN 978-1-4262-1278-9.

J. Howard Moore photo

“[S]ince being is analogical, we are quite correct in using the same words, in particular the word 'being', for both God and his creatures.”

Henri de Lubac (1896–1991) Jesuit theologian and cardinal

Part 1. "The Eternal Feminine", Ch. 4, p. 73
The Eternal Feminine (1968)

André Breton photo

“Truly the eye was made to cast a lineament, a conducting wire between the most heterogeneous things. Such a wire, of maximum ductility, should allow us to understand, in a minimum of time, the relationship which connect, without possible discharge of continuity, innumerable physical and mental structures.... the key (of the mental prison, ed.) lies in a free unlimited pay of analogies....”

André Breton (1896–1966) French writer

Quote of Breton, from Introduction to the exhibition of Gorky's first show', Julien Levy Gallery', March 1945; as quoted in Arshile Gorky, – Goats on the roof, ed. by Matthew Spender, Ridinghouse, London, 2009, p. 258
after 1930