Celebrating 18 Years on the Web
TODAY IN SCIENCE HISTORY ®
Find science on or your birthday

Today in Science History - Quickie Quiz
Who said: “A people without children would face a hopeless future; a country without trees is almost as helpless.”
more quiz questions >>
Home > Category Index for Science Quotations > Category Index C > Category: Correspond

Correspond Quotes (9 quotes)

A natural science is one whose propositions on limited domains of nature can have only a correspondingly limited validity; and that science is not a philosophy developing a world-view of nature as a whole or about the essence of things.
In The Physicist’s Conception of Nature (1958), 152. Translated by Arnold J. Pomerans from Das Naturbild der Heutigen Physik (1955).
Science quotes on:  |  Develop (103)  |  Domain (40)  |  Essence (54)  |  Limited (18)  |  Natural Science (89)  |  Nature (1211)  |  Philosophy (257)  |  Proposition (80)  |  Science (2043)  |  Validity (31)

But the nature of our civilized minds is so detached from the senses, even in the vulgar, by abstractions corresponding to all the abstract terms our languages abound in, and so refined by the art of writing, and as it were spiritualized by the use of numbers, because even the vulgar know how to count and reckon, that it is naturally beyond our power to form the vast image of this mistress called ‘Sympathetic Nature.’
The New Science, bk. 2, para. 378 (1744, trans. 1984).
Science quotes on:  |  Abound (5)  |  Abstract (79)  |  Abstraction (38)  |  Art (284)  |  Beyond (104)  |  Call (127)  |  Civilized (17)  |  Count (48)  |  Detach (5)  |  Form (308)  |  Image (55)  |  Know (547)  |  Language (217)  |  Mind (743)  |  Mistress (7)  |  Naturally (10)  |  Nature (1211)  |  Number (276)  |  Power (358)  |  Reckon (14)  |  Refine (4)  |  Sense (315)  |  Sympathetic (3)  |  Term (120)  |  Vast (88)  |  Vulgar (15)  |  Write (153)

Common to all these types is the anthropomorphic character of their conception of God. In general, only individuals of exceptional endowments, and exceptionally high-minded communities, rise to any considerable extent above this level. But there is a third stage of religious experience which belongs to all of them, even though it is rarely found in a pure form: I shall call it cosmic religious feeling. It is very difficult to elucidate this feeling to anyone who is entirely without it, especially as there is no anthropomorphic conception of God corresponding to it.
…...
Science quotes on:  |  Anthropomorphic (3)  |  Anyone (35)  |  Belong (53)  |  Call (127)  |  Character (115)  |  Common (118)  |  Community (81)  |  Conception (88)  |  Considerable (20)  |  Cosmic (47)  |  Difficult (116)  |  Elucidate (4)  |  Endowment (10)  |  Entirely (33)  |  Especially (30)  |  Exceptional (7)  |  Exceptionally (3)  |  Experience (338)  |  Extent (49)  |  Feel (165)  |  Find (405)  |  Form (308)  |  General (156)  |  God (535)  |  Individual (215)  |  Level (67)  |  Pure (98)  |  Rarely (20)  |  Religious (49)  |  Rise (70)  |  Stage (54)  |  Third (15)  |  Type (51)

Every appearance in nature corresponds to some state of the mind, and that state of the mind can only be described by presenting that natural appearance as its picture. An enraged man is a lion, a cunning man is a fox, a firm man is a rock, a learned man is a torch. A lamb is innocence; a snake is subtle spite; flowers express to us the delicate affections. Light and darkness are our familiar expressions for knowledge and ignorance ; and heat for love. Visible distance behind and before us, is respectively our image of memory and hope.
In essay, 'Language', collected in Nature: An Essay ; And, Lectures on the Times (1844), 23-24.
Science quotes on:  |  Affection (18)  |  Appearance (85)  |  Behind (38)  |  Cunning (8)  |  Darkness (43)  |  Delicate (20)  |  Describe (56)  |  Distance (76)  |  Express (63)  |  Expression (104)  |  Firm (24)  |  Flower (76)  |  Fox (9)  |  Heat (100)  |  Hope (174)  |  Ignorance (213)  |  Innocence (10)  |  Knowledge (1293)  |  Lamb (6)  |  Learned (24)  |  Light (345)  |  Linguistics (28)  |  Lion (17)  |  Love (221)  |  Memory (105)  |  Nature (1211)  |  Picture (75)  |  Rock (125)  |  Snake (16)  |  Spite (13)  |  State Of Mind (4)  |  Subtle (33)  |  Torch (9)  |  Visible (37)

I can see him [Sylvester] now, with his white beard and few locks of gray hair, his forehead wrinkled o’er with thoughts, writing rapidly his figures and formulae on the board, sometimes explaining as he wrote, while we, his listeners, caught the reflected sounds from the board. But stop, something is not right, he pauses, his hand goes to his forehead to help his thought, he goes over the work again, emphasizes the leading points, and finally discovers his difficulty. Perhaps it is some error in his figures, perhaps an oversight in the reasoning. Sometimes, however, the difficulty is not elucidated, and then there is not much to the rest of the lecture. But at the next lecture we would hear of some new discovery that was the outcome of that difficulty, and of some article for the Journal, which he had begun. If a text-book had been taken up at the beginning, with the intention of following it, that text-book was most likely doomed to oblivion for the rest of the term, or until the class had been made listeners to every new thought and principle that had sprung from the laboratory of his mind, in consequence of that first difficulty. Other difficulties would soon appear, so that no text-book could last more than half of the term. In this way his class listened to almost all of the work that subsequently appeared in the Journal. It seemed to be the quality of his mind that he must adhere to one subject. He would think about it, talk about it to his class, and finally write about it for the Journal. The merest accident might start him, but once started, every moment, every thought was given to it, and, as much as possible, he read what others had done in the same direction; but this last seemed to be his real point; he could not read without finding difficulties in the way of understanding the author. Thus, often his own work reproduced what had been done by others, and he did not find it out until too late.
A notable example of this is in his theory of cyclotomic functions, which he had reproduced in several foreign journals, only to find that he had been greatly anticipated by foreign authors. It was manifest, one of the critics said, that the learned professor had not read Rummer’s elementary results in the theory of ideal primes. Yet Professor Smith’s report on the theory of numbers, which contained a full synopsis of Kummer’s theory, was Professor Sylvester’s constant companion.
This weakness of Professor Sylvester, in not being able to read what others had done, is perhaps a concomitant of his peculiar genius. Other minds could pass over little difficulties and not be troubled by them, and so go on to a final understanding of the results of the author. But not so with him. A difficulty, however small, worried him, and he was sure to have difficulties until the subject had been worked over in his own way, to correspond with his own mode of thought. To read the work of others, meant therefore to him an almost independent development of it. Like the man whose pleasure in life is to pioneer the way for society into the forests, his rugged mind could derive satisfaction only in hewing out its own paths; and only when his efforts brought him into the uncleared fields of mathematics did he find his place in the Universe.
In Florian Cajori, Teaching and History of Mathematics in the United States (1890), 266-267.
Science quotes on:  |  Accident (65)  |  Adhere (3)  |  Anticipate (10)  |  Appear (115)  |  Article (22)  |  Author (61)  |  Beard (7)  |  Begin (106)  |  Board (12)  |  Bring (90)  |  Class (83)  |  Companion (13)  |  Consequence (110)  |  Constant (56)  |  Contain (67)  |  Critic (20)  |  Derive (33)  |  Development (276)  |  Difficulty (144)  |  Direction (74)  |  Discover (196)  |  Discovery (676)  |  Doom (15)  |  Effort (143)  |  Elementary (45)  |  Elucidate (4)  |  Emphasize (12)  |  Error (275)  |  Example (92)  |  Explain (105)  |  Field (170)  |  Figure (68)  |  Final (49)  |  Finally (26)  |  Find (405)  |  First (313)  |  Follow (123)  |  Forehead (2)  |  Foreign (26)  |  Forest (107)  |  Formula (79)  |  Full (63)  |  Function (128)  |  Genius (243)  |  Give (200)  |  Greatly (12)  |  Hair (25)  |  Half (56)  |  Hand (141)  |  Hear (60)  |  Help (101)  |  Hew (3)  |  Ideal (69)  |  Independent (65)  |  Intention (28)  |  Journal (19)  |  Ernst Eduard Kummer (2)  |  Laboratory (131)  |  Late (52)  |  Lead (158)  |  Learn (281)  |  Lecture (67)  |  Life (1124)  |  Likely (33)  |  Listen (39)  |  Listener (5)  |  Little (184)  |  Manifest (20)  |  Mathematicians and Anecdotes (123)  |  Mathematics (1149)  |  Mean (101)  |  Mere (78)  |  Mind (743)  |  Mode (40)  |  Moment (106)  |  New (483)  |  Next (35)  |  Notable (5)  |  Oblivion (10)  |  Often (106)  |  Outcome (13)  |  Oversight (4)  |  Pass (91)  |  Path (84)  |  Pause (6)  |  Peculiar (43)  |  Pioneer (27)  |  Place (174)  |  Pleasure (130)  |  Point (122)  |  Possible (155)  |  Prime (10)  |  Principle (285)  |  Professor (54)  |  Quality (93)  |  Rapidly (13)  |  Read (144)  |  Real (148)  |  Reason (454)  |  Report (37)  |  Reproduce (11)  |  Rest (92)  |  Result (376)  |  Right (196)  |  Rugged (7)  |  Rum (3)  |  Same (155)  |  Satisfaction (56)  |  Say (228)  |  Seem (143)  |  Several (31)  |  Small (161)  |  Smith (3)  |  Society (227)  |  Soon (34)  |  Sound (88)  |  Spring (70)  |  Start (97)  |  Stop (75)  |  Subject (235)  |  Subsequently (2)  |  James Joseph Sylvester (48)  |  Synopsis (2)  |  Talk (99)  |  Term (120)  |  Textbook (27)  |  Theory (690)  |  Theory Of Numbers (5)  |  Think (341)  |  Thought (536)  |  Trouble (72)  |  Understand (326)  |  Universe (683)  |  Weakness (35)  |  Work (626)  |  Worry (33)  |  Wrinkle (4)  |  Write (153)

In every case the awakening touch has been the mathematical spirit, the attempt to count, to measure, or to calculate. What to the poet or the seer may appear to be the very death of all his poetry and all his visions—the cold touch of the calculating mind,—this has proved to be the spell by which knowledge has been born, by which new sciences have been created, and hundreds of definite problems put before the minds and into the hands of diligent students. It is the geometrical figure, the dry algebraical formula, which transforms the vague reasoning of the philosopher into a tangible and manageable conception; which represents, though it does not fully describe, which corresponds to, though it does not explain, the things and processes of nature: this clothes the fruitful, but otherwise indefinite, ideas in such a form that the strict logical methods of thought can be applied, that the human mind can in its inner chamber evolve a train of reasoning the result of which corresponds to the phenomena of the outer world.
In A History of European Thought in the Nineteenth Century (1896), Vol. 1, 314.
Science quotes on:  |  Algebra (92)  |  Appear (115)  |  Apply (76)  |  Attempt (121)  |  Awaken (15)  |  Born (30)  |  Calculate (31)  |  Chamber (7)  |  Cold (58)  |  Conception (88)  |  Count (48)  |  Create (150)  |  Death (302)  |  Definite (42)  |  Describe (56)  |  Diligent (7)  |  Dry (21)  |  Estimates of Mathematics (30)  |  Evolution (533)  |  Explain (105)  |  Figure (68)  |  Form (308)  |  Formula (79)  |  Fruitful (42)  |  Geometry (215)  |  Human Mind (80)  |  Idea (577)  |  Indefinite (8)  |  Inner (39)  |  Knowledge (1293)  |  Logical (54)  |  Mathematics (1149)  |  Measure (102)  |  Method (230)  |  Mind (743)  |  Nature (1211)  |  New (483)  |  Otherwise (24)  |  Phenomenon (276)  |  Philosopher (164)  |  Poet (78)  |  Poetry (120)  |  Problem (490)  |  Process (261)  |  Prove (108)  |  Reasoning (95)  |  Represent (41)  |  Result (376)  |  Science (2043)  |  Seer (4)  |  Spell (9)  |  Spirit (152)  |  Strict (16)  |  Student (201)  |  Tangible (8)  |  Thought (536)  |  Train (45)  |  Transform (35)  |  Vague (25)  |  Vision (94)

We come now to the question: what is a priori certain or necessary, respectively in geometry (doctrine of space) or its foundations? Formerly we thought everything; nowadays we think nothing. Already the distance-concept is logically arbitrary; there need be no things that correspond to it, even approximately.
In article he wrote, 'Space-Time', for Encyclopaedia Britannica (14th ed., 1929), Vol. 21, 106.
Science quotes on:  |  A Priori (22)  |  Approximate (10)  |  Arbitrary (20)  |  Certain (125)  |  Concept (143)  |  Distance (76)  |  Doctrine (75)  |  Everything (180)  |  Foundation (105)  |  Geometry (215)  |  Logic (247)  |  Necessary (147)  |  Nothing (385)  |  Question (404)  |  Space (257)  |  Thought (536)

We find in the history of ideas mutations which do not seem to correspond to any obvious need, and at first sight appear as mere playful whimsies—such as Apollonius’ work on conic sections, or the non-Euclidean geometries, whose practical value became apparent only later.
In 'Epilogue', The Sleepwalkers: A History of Man’s Changing Vision of the Universe (1959), 515.
Science quotes on:  |  Apollonius (5)  |  Apparent (39)  |  Become (172)  |  Conic Section (7)  |  Geometry (215)  |  History (368)  |  Idea (577)  |  Later (17)  |  Mutation (30)  |  Need (283)  |  Non-Euclidean (3)  |  Obvious (79)  |  Practical (129)  |  Value (240)

[T]he phenomena of animal life correspond to one another, whether we compare their rank as determined by structural complication with the phases of their growth, or with their succession in past geological ages; whether we compare this succession with their relative growth, or all these different relations with each other and with the geographical distribution of animals upon the earth. The same series everywhere!
In Essay on Classification (1851), 196.
Science quotes on:  |  Animal (356)  |  Compare (37)  |  Complication (23)  |  Determine (72)  |  Different (178)  |  Distribution (29)  |  Earth (635)  |  Geographical (6)  |  Geology (200)  |  Growth (122)  |  Life (1124)  |  Phase (16)  |  Phenomenon (276)  |  Rank (32)  |  Relative (39)  |  Series (50)  |  Structure (221)  |  Succession (43)


Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
Quotations by:Albert EinsteinIsaac NewtonLord KelvinCharles DarwinSrinivasa RamanujanCarl SaganFlorence NightingaleThomas EdisonAristotleMarie CurieBenjamin FranklinWinston ChurchillGalileo GalileiSigmund FreudRobert BunsenLouis PasteurTheodore RooseveltAbraham LincolnRonald ReaganLeonardo DaVinciMichio KakuKarl PopperJohann GoetheRobert OppenheimerCharles Kettering  ... (more people)

Quotations about:Atomic  BombBiologyChemistryDeforestationEngineeringAnatomyAstronomyBacteriaBiochemistryBotanyConservationDinosaurEnvironmentFractalGeneticsGeologyHistory of ScienceInventionJupiterKnowledgeLoveMathematicsMeasurementMedicineNatural ResourceOrganic ChemistryPhysicsPhysicianQuantum TheoryResearchScience and ArtTeacherTechnologyUniverseVolcanoVirusWind PowerWomen ScientistsX-RaysYouthZoology  ... (more topics)
Sitewide search within all Today In Science History pages:
Visit our Science and Scientist Quotations index for more Science Quotes from archaeologists, biologists, chemists, geologists, inventors and inventions, mathematicians, physicists, pioneers in medicine, science events and technology.

Names index: | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

Categories index: | 1 | 2 | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

- 100 -
Sophie Germain
Gertrude Elion
Ernest Rutherford
James Chadwick
Marcel Proust
William Harvey
Johann Goethe
John Keynes
Carl Gauss
Paul Feyerabend
- 90 -
Antoine Lavoisier
Lise Meitner
Charles Babbage
Ibn Khaldun
Euclid
Ralph Emerson
Robert Bunsen
Frederick Banting
Andre Ampere
Winston Churchill
- 80 -
John Locke
Bronislaw Malinowski
Bible
Thomas Huxley
Alessandro Volta
Erwin Schrodinger
Wilhelm Roentgen
Louis Pasteur
Bertrand Russell
Jean Lamarck
- 70 -
Samuel Morse
John Wheeler
Nicolaus Copernicus
Robert Fulton
Pierre Laplace
Humphry Davy
Thomas Edison
Lord Kelvin
Theodore Roosevelt
Carolus Linnaeus
- 60 -
Francis Galton
Linus Pauling
Immanuel Kant
Martin Fischer
Robert Boyle
Karl Popper
Paul Dirac
Avicenna
James Watson
William Shakespeare
- 50 -
Stephen Hawking
Niels Bohr
Nikola Tesla
Rachel Carson
Max Planck
Henry Adams
Richard Dawkins
Werner Heisenberg
Alfred Wegener
John Dalton
- 40 -
Pierre Fermat
Edward Wilson
Johannes Kepler
Gustave Eiffel
Giordano Bruno
JJ Thomson
Thomas Kuhn
Leonardo DaVinci
Archimedes
David Hume
- 30 -
Andreas Vesalius
Rudolf Virchow
Richard Feynman
James Hutton
Alexander Fleming
Emile Durkheim
Benjamin Franklin
Robert Oppenheimer
Robert Hooke
Charles Kettering
- 20 -
Carl Sagan
James Maxwell
Marie Curie
Rene Descartes
Francis Crick
Hippocrates
Michael Faraday
Srinivasa Ramanujan
Francis Bacon
Galileo Galilei
- 10 -
Aristotle
John Watson
Rosalind Franklin
Michio Kaku
Isaac Asimov
Charles Darwin
Sigmund Freud
Albert Einstein
Florence Nightingale
Isaac Newton



who invites your feedback
Thank you for sharing.
Today in Science History
Sign up for Newsletter
with quiz, quotes and more.