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

Today in Science History - Quickie Quiz
Who said: “God does not care about our mathematical difficulties. He integrates empirically.”
more quiz questions >>
Home > Category Index for Science Quotations > Category Index I > Category: Integral

Integral Quotes (6 quotes)

After the discovery of spectral analysis no one trained in physics could doubt the problem of the atom would be solved when physicists had learned to understand the language of spectra. So manifold was the enormous amount of material that has been accumulated in sixty years of spectroscopic research that it seemed at first beyond the possibility of disentanglement. An almost greater enlightenment has resulted from the seven years of Rφntgen spectroscopy, inasmuch as it has attacked the problem of the atom at its very root, and illuminates the interior. What we are nowadays hearing of the language of spectra is a true 'music of the spheres' in order and harmony that becomes ever more perfect in spite of the manifold variety. The theory of spectral lines will bear the name of Bohr for all time. But yet another name will be permanently associated with it, that of Planck. All integral laws of spectral lines and of atomic theory spring originally from the quantum theory. It is the mysterious organon on which Nature plays her music of the spectra, and according to the rhythm of which she regulates the structure of the atoms and nuclei.
Atombau und Spektrallinien (1919), viii, Atomic Structure and Spectral Lines, trans. Henry L. Brose (1923), viii.
Science quotes on:  |  Atom (251)  |  Atomic Theory (13)  |  Niels Bohr (50)  |  Discovery (591)  |  Harmony (55)  |  Interior (13)  |  Language (155)  |  Music Of The Spheres (2)  |  Mystery (125)  |  Nature (1029)  |  Nucleus (30)  |  Order (167)  |  Perfection (71)  |  Max Planck (62)  |  Problem (362)  |  Quantum Theory (55)  |  Regulation (18)  |  Research (517)  |  Rhythm (12)  |  Wilhelm Rφntgen (7)  |  Solution (168)  |  Spectral Analysis (2)  |  Spectral Line (3)  |  Spectroscopy (11)  |  Spectrum (23)  |  Structure (191)  |  Theory (582)  |  Understanding (317)  |  Variety (53)

Good scholars struggle to understand the world in an integral way (pedants bite off tiny bits and worry them to death). These visions of reality ... demand our respect, for they are an intellectual’s only birthright. They are often entirely wrong and always flawed in serious ways, but they must be understood honorably and not subjected to mayhem by the excision of patches.
…...
Science quotes on:  |  Birthright (3)  |  Bit (13)  |  Bite (11)  |  Death (270)  |  Demand (52)  |  Entirely (23)  |  Flawed (2)  |  Good (228)  |  Intellectual (79)  |  Often (69)  |  Patch (6)  |  Pedant (4)  |  Reality (140)  |  Respect (57)  |  Scholar (31)  |  Serious (37)  |  Struggle (60)  |  Subject (129)  |  Tiny (25)  |  Understand (189)  |  Vision (55)  |  World (667)  |  Worry (27)  |  Wrong (116)

If texts are unified by a central logic of argument, then their pictorial illustrations are integral to the ensemble, not pretty little trifles included only for aesthetic or commercial value. Primates are visual animals, and (particularly in science) illustration has a language and set of conventions all its own.
…...
Science quotes on:  |  Aesthetic (26)  |  Animal (309)  |  Argument (59)  |  Central (23)  |  Commercial (25)  |  Convention (13)  |  Illustration (24)  |  Include (27)  |  Language (155)  |  Little (126)  |  Logic (187)  |  Particularly (12)  |  Pretty (10)  |  Primate (8)  |  Science (1699)  |  Set (56)  |  Text (8)  |  Trifle (10)  |  Unified (9)  |  Value (180)  |  Visual (9)

Science is an integral part of culture. It’s not this foreign thing, done by an arcane priesthood. It’s one of the glories of the human intellectual tradition.
Independent (London, Jan. 24, 1990).
Science quotes on:  |  Arcane (3)  |  Culture (85)  |  Foreign (20)  |  Glory (44)  |  Part (146)  |  Science (1699)  |  Tradition (43)

The energy of a covalent bond is largely the energy of resonance of two electrons between two atoms. The examination of the form of the resonance integral shows that the resonance energy increases in magnitude with increase in the overlapping of the two atomic orbitals involved in the formation of the bond, the word ‘overlapping” signifying the extent to which regions in space in which the two orbital wave functions have large values coincide... Consequently it is expected that of two orbitals in an atom the one which can overlap more with an orbital of another atom will form the stronger bond with that atom, and, moreover, the bond formed by a given orbital will tend to lie in that direction in which the orbital is concentrated.
Nature of the Chemical Bond and the Structure of Molecules and Crystals (1939), 76.
Science quotes on:  |  Atom (251)  |  Bond (19)  |  Concentration (14)  |  Conincidence (4)  |  Direction (56)  |  Electron (66)  |  Energy (185)  |  Examination (60)  |  Expectation (46)  |  Extent (30)  |  Formation (54)  |  Increase (107)  |  Magnitude (21)  |  Nomenclature (129)  |  Orbital (2)  |  Overlap (4)  |  Region (26)  |  Resonance (2)  |  Significance (60)  |  Strength (63)  |  Value (180)  |  Word (221)

This is one of man's oldest riddles. How can the independence of human volition be harmonized with the fact that we are integral parts of a universe which is subject to the rigid order of nature's laws?
In Where is Science Going? (1932), 107.
Science quotes on:  |  Fact (609)  |  Harmony (55)  |  Human (445)  |  Independence (32)  |  Law (418)  |  Nature (1029)  |  Order (167)  |  Part (146)  |  Riddle (18)  |  Rigid (10)  |  Universe (563)


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 Einstein • Isaac Newton • Lord Kelvin • Charles Darwin • Srinivasa Ramanujan • Carl Sagan • Florence Nightingale • Thomas Edison • Aristotle • Marie Curie • Benjamin Franklin • Winston Churchill • Galileo Galilei • Sigmund Freud • Robert Bunsen • Louis Pasteur • Theodore Roosevelt • Abraham Lincoln • Ronald Reagan • Leonardo DaVinci • Michio Kaku • Karl Popper • Johann Goethe • Robert Oppenheimer • Charles Kettering  ... (more people)

Quotations about: • Atomic  Bomb • Biology • Chemistry • Deforestation • Engineering • Anatomy • Astronomy • Bacteria • Biochemistry • Botany • Conservation • Dinosaur • Environment • Fractal • Genetics • Geology • History of Science • Invention • Jupiter • Knowledge • Love • Mathematics • Measurement • Medicine • Natural Resource • Organic Chemistry • Physics • Physician • Quantum Theory • Research • Science and Art • Teacher • Technology • Universe • Volcano • Virus • Wind Power • Women Scientists • X-Rays • Youth • Zoology  ... (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.