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Home > Category Index for Science Quotations > Category Index G > Category: Generalize

Generalize Quotes (9 quotes)
Generalise Quotes

Another characteristic of mathematical thought is that it can have no success where it cannot generalize.
In Eberhard Zeidler, Applied Functional Analysis: main principles and their applications (1995), 282.
Science quotes on:  |  Characteristic (66)  |  Mathematics (587)  |  Success (202)  |  Thinking (222)

Before you generalize, formalize, and axiomatize there must be mathematical substance.
In Eberhard Zeidler, Applied Functional Analysis: main principles and their applications (1995), 282.
Science quotes on:  |  Axiom (26)  |  Mathematics (587)  |  Substance (73)

Every science begins by accumulating observations, and presently generalizes these empirically; but only when it reaches the stage at which its empirical generalizations are included in a rational generalization does it become developed science.
In The Data of Ethics (1879), 61.
Science quotes on:  |  Accumulate (18)  |  Begin (52)  |  Developed (8)  |  Empirical (15)  |  Observation (418)  |  Rational (42)  |  Science (1699)

Having discovered … by observation and comparison that certain objects agree in certain respects, we generalise the qualities in which they coincide,—that is, from a certain number of individual instances we infer a general law; we perform an act of Induction. This induction is erroneously viewed as analytic; it is purely a synthetic process.
In Lecture VI of his Biennial Course, by William Hamilton and Henry L. Mansel (ed.) and John Veitch (ed.), Metaphysics (1860), Vol. 1, 101.
Science quotes on:  |  Agree (19)  |  Analytic (4)  |  Coincide (4)  |  Comparison (53)  |  Discover (115)  |  Erroneous (3)  |  General (92)  |  Individual (177)  |  Induction (45)  |  Infer (10)  |  Instance (18)  |  Law (418)  |  Object (110)  |  Observation (418)  |  Process (201)  |  Pure (62)  |  Quality (65)  |  Synthetic (12)  |  View (115)

Induction is the process of generalizing from our known and limited experience, and framing wider rules for the future than we have been able to test fully. At its simplest, then, an induction is a habit or an adaptation—the habit of expecting tomorrow’s weather to be like today’s, the adaptation to the unwritten conventions of community life.
Science quotes on:  |  Adaptation (40)  |  Experience (268)  |  Habit (78)  |  Induction (45)  |  Know (321)  |  Limit (86)  |  Logic (187)  |  Weather (27)

Man is made for science; he reasons from effects to causes, and from causes to effects; but he does not always reason without error. In reasoning, therefore, from appearances which are particular, care must be taken how we generalize; we should be cautious not to attribute to nature, laws which may perhaps be only of our own invention.
'Theory of the Earth', Transactions of the Royal Society of Edinburgh, 1788, 1, 273.
Science quotes on:  |  Cause (231)  |  Effect (133)  |  Error (230)  |  Law (418)  |  Man (345)  |  Nature (1029)  |  Reason (330)  |  Science (1699)

No generalizing beyond the data, no theory. No theory, no insight. And if no insight, why do research.
'Developing Theory About the Development of Theory,' in Ken G. Smith and Michael A. Hitt, Great Minds in Management: the Theory of Process Development (2005), 361.
Science quotes on:  |  Data (100)  |  Insight (57)  |  Research (517)  |  Theory (582)

Random search for data on ... off-chance is hardly scientific. A questionnaire on 'Intellectual Immoralities' was circulated by a well-known institution. 'Intellectual Immorality No. 4' read: 'Generalizing beyond one's data'. [Wilder Dwight] Bancroft asked whether it would not be more correct to word question no. 4 'Not generalizing beyond one's data.'
From Dream to Discovery: On Being a Scientist (1964), 279. In Henry Mintzberg, essay, 'Developing Theory About the Development of Theory,' in Ken G. Smith and Michael A. Hitt, Great Minds in Management: the Theory of Process Development (2005), 361.
Science quotes on:  |  Wilder Dwight Bancroft (5)  |  Data (100)  |  Immorality (4)  |  Intellect (157)  |  Random (21)  |  Search (85)

The book [Future of an Illusion] testifies to the fact that the genius of experimental science is not necessarily joined with the genius of logic or generalizing power.
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Science quotes on:  |  Book (181)  |  Experimental (12)  |  Fact (609)  |  Future (229)  |  Genius (186)  |  Illusion (38)  |  Join (15)  |  Logic (187)  |  Necessarily (13)  |  Power (273)  |  Science (1699)  |  Testify (3)


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
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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
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Bible
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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
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Avicenna
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- 50 -
Stephen Hawking
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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
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Richard Feynman
James Hutton
Alexander Fleming
Emile Durkheim
Benjamin Franklin
Robert Oppenheimer
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Charles Kettering
- 20 -
Carl Sagan
James Maxwell
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- 10 -
Aristotle
John Watson
Rosalind Franklin
Michio Kaku
Isaac Asimov
Charles Darwin
Sigmund Freud
Albert Einstein
Florence Nightingale
Isaac Newton



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