Celebrating 19 Years on the Web
TODAY IN SCIENCE HISTORY ®
Find science on or your birthday

Today in Science History - Quickie Quiz
Who said: “I seem to have been only like a boy playing on the seashore, ... finding a smoother pebble or a prettier shell ... whilst the great ocean of truth lay all undiscovered before me.”
more quiz questions >>
Home > Category Index for Science Quotations > Category Index P > Category: Peculiarly

Peculiarly Quotes (4 quotes)

It is admitted by all that a finished or even a competent reasoner is not the work of nature alone; the experience of every day makes it evident that education develops faculties which would otherwise never have manifested their existence. It is, therefore, as necessary to learn to reason before we can expect to be able to reason, as it is to learn to swim or fence, in order to attain either of those arts. Now, something must be reasoned upon, it matters not much what it is, provided it can be reasoned upon with certainty. The properties of mind or matter, or the study of languages, mathematics, or natural history, may be chosen for this purpose. Now of all these, it is desirable to choose the one which admits of the reasoning being verified, that is, in which we can find out by other means, such as measurement and ocular demonstration of all sorts, whether the results are true or not. When the guiding property of the loadstone was first ascertained, and it was necessary to learn how to use this new discovery, and to find out how far it might be relied on, it would have been thought advisable to make many passages between ports that were well known before attempting a voyage of discovery. So it is with our reasoning faculties: it is desirable that their powers should be exerted upon objects of such a nature, that we can tell by other means whether the results which we obtain are true or false, and this before it is safe to trust entirely to reason. Now the mathematics are peculiarly well adapted for this purpose, on the following grounds:
1. Every term is distinctly explained, and has but one meaning, and it is rarely that two words are employed to mean the same thing.
2. The first principles are self-evident, and, though derived from observation, do not require more of it than has been made by children in general.
3. The demonstration is strictly logical, taking nothing for granted except self-evident first principles, resting nothing upon probability, and entirely independent of authority and opinion.
4. When the conclusion is obtained by reasoning, its truth or falsehood can be ascertained, in geometry by actual measurement, in algebra by common arithmetical calculation. This gives confidence, and is absolutely necessary, if, as was said before, reason is not to be the instructor, but the pupil.
5. There are no words whose meanings are so much alike that the ideas which they stand for may be confounded. Between the meaning of terms there is no distinction, except a total distinction, and all adjectives and adverbs expressing difference of degrees are avoided.
In On the Study and Difficulties of Mathematics (1898), chap. 1.
Science quotes on:  |  Absolutely (39)  |  Actual (117)  |  Adapt (66)  |  Adjective (2)  |  Admit (45)  |  Adverb (2)  |  Algebra (113)  |  Alike (60)  |  All (4108)  |  Alone (311)  |  Arithmetical (11)  |  Art (657)  |  Ascertain (38)  |  Attain (125)  |  Attempt (251)  |  Authority (95)  |  Avoid (116)  |  Being (1278)  |  Calculation (127)  |  Certainty (174)  |  Child (307)  |  Children (200)  |  Choose (112)  |  Chosen (48)  |  Common (436)  |  Competent (20)  |  Conclusion (254)  |  Confidence (69)  |  Confound (21)  |  Degree (276)  |  Demonstration (113)  |  Derive (65)  |  Desirable (33)  |  Develop (268)  |  Difference (337)  |  Discovery (780)  |  Distinction (72)  |  Distinctly (5)  |  Do (1908)  |  Education (378)  |  Employ (113)  |  Entirely (34)  |  Evident (91)  |  Exert (39)  |  Existence (456)  |  Expect (200)  |  Experience (467)  |  Explain (322)  |  Express (186)  |  Faculty (72)  |  False (100)  |  Falsehood (28)  |  Far (154)  |  Fence (11)  |  Find (998)  |  Find Out (21)  |  Finish (59)  |  First (1283)  |  Follow (378)  |  General (511)  |  Geometry (255)  |  Give (202)  |  Grant (73)  |  Ground (217)  |  Guide (97)  |  History (673)  |  Idea (843)  |  Independent (67)  |  Instructor (5)  |  Know (1518)  |  Known (454)  |  Language (293)  |  Learn (629)  |  Lodestone (7)  |  Logical (55)  |  Manifest (21)  |  Mathematics (1328)  |  Matter (798)  |  Mean (809)  |  Meaning (233)  |  Meanings (5)  |  Means (579)  |  Measurement (174)  |  Mind (1338)  |  More (2559)  |  Must (1526)  |  Natural (796)  |  Natural History (70)  |  Nature (1926)  |  Necessary (363)  |  Never (1087)  |  New (1216)  |  Nothing (966)  |  Object (422)  |  Observation (555)  |  Obtain (163)  |  Ocular (3)  |  Opinion (281)  |  Order (632)  |  Other (2236)  |  Passage (50)  |  Port (2)  |  Power (746)  |  Principle (507)  |  Probability (130)  |  Property (168)  |  Provide (69)  |  Pupil (61)  |  Purpose (317)  |  Rarely (21)  |  Reason (744)  |  Reasoning (207)  |  Rely (11)  |  Require (219)  |  Rest (280)  |  Result (677)  |  Safe (54)  |  Same (157)  |  Say (984)  |  Self (267)  |  Self-Evident (21)  |  Something (719)  |  Sort (49)  |  Stand (274)  |  Strictly (13)  |  Study (653)  |  Swim (30)  |  Tell (340)  |  Term (349)  |  Terms (184)  |  Thing (1915)  |  Thought (953)  |  Total (94)  |  True (212)  |  Trust (66)  |  Truth (1057)  |  Two (937)  |  Use (766)  |  Value Of Mathematics (60)  |  Verify (23)  |  Voyage (11)  |  Word (619)  |  Work (1351)

Mathematics because of its nature and structure is peculiarly fitted for high school instruction [Gymnasiallehrfach]. Especially the higher mathematics, even if presented only in its elements, combines within itself all those qualities which are demanded of a secondary subject.
In Die Mathematik die Fackeltrδgerin einer neuen Zeit (1889), 40. As translated in Robert Ιdouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 49.
Science quotes on:  |  All (4108)  |  Combine (57)  |  Demand (123)  |  Element (310)  |  Fit (134)  |  High (362)  |  High School (11)  |  Higher Mathematics (6)  |  Instruction (91)  |  Mathematics (1328)  |  Nature (1926)  |  Present (619)  |  Quality (135)  |  School (219)  |  Secondary (14)  |  Structure (344)  |  Subject (521)  |  Value Of Mathematics (60)

Probably among all the pursuits of the University, mathematics pre-eminently demand self-denial, patience, and perseverance from youth, precisely at that period when they have liberty to act for themselves, and when on account of obvious temptations, habits of restraint and application are peculiarly valuable.
In The Conflict of Studies and other Essays (1873), 12.
Science quotes on:  |  Account (192)  |  Act (272)  |  All (4108)  |  Application (242)  |  Demand (123)  |  Denial (17)  |  Habit (168)  |  Liberty (25)  |  Mathematics (1328)  |  Obvious (126)  |  Patience (56)  |  Period (198)  |  Perseverance (23)  |  Precisely (92)  |  Preeminent (5)  |  Probably (49)  |  Pursuit (121)  |  Restraint (13)  |  Self (267)  |  Temptation (11)  |  Themselves (433)  |  University (121)  |  Value (365)  |  Value Of Mathematics (60)  |  Youth (101)

Sylvester was incapable of reading mathematics in a purely receptive way. Apparently a subject either fired in his brain a train of active and restless thought, or it would not retain his attention at all. To a man of such a temperament, it would have been peculiarly helpful to live in an atmosphere in which his human associations would have supplied the stimulus which he could not find in mere reading. The great modern work in the theory of functions and in allied disciplines, he never became acquainted with …
What would have been the effect if, in the prime of his powers, he had been surrounded by the influences which prevail in Berlin or in Gottingen? It may be confidently taken for granted that he would have done splendid work in those domains of analysis, which have furnished the laurels of the great mathematicians of Germany and France in the second half of the present century.
In Address delivered at a memorial meeting at the Johns Hopkins University (2 May 1897), published in Bulletin of the American Mathematical Society (Jun 1897), 303. Also in Johns Hopkins University Circulars, 16 (1897), 54.
Science quotes on:  |  Acquaint (9)  |  Active (76)  |  All (4108)  |  Ally (6)  |  Analysis (233)  |  Apparently (20)  |  Association (46)  |  Atmosphere (103)  |  Attention (190)  |  Become (815)  |  Berlin (10)  |  Brain (270)  |  Century (310)  |  Confidently (2)  |  Discipline (77)  |  Domain (69)  |  Effect (393)  |  Find (998)  |  Fire (189)  |  France (27)  |  Function (228)  |  Furnish (96)  |  Germany (13)  |  Grant (73)  |  Great (1574)  |  Half (56)  |  Helpful (16)  |  Human (1468)  |  Incapable (40)  |  Influence (222)  |  Laurel (2)  |  Live (628)  |  Man (2251)  |  Mathematician (387)  |  Mathematicians and Anecdotes (141)  |  Mathematics (1328)  |  Mere (84)  |  Modern (385)  |  Never (1087)  |  Power (746)  |  Present (619)  |  Prevail (46)  |  Prime (11)  |  Purely (109)  |  Read (287)  |  Reading (133)  |  Receptive (5)  |  Restless (11)  |  Retain (56)  |  Second (62)  |  Splendid (23)  |  Stimulus (26)  |  Subject (521)  |  Supply (93)  |  Surround (30)  |  James Joseph Sylvester (58)  |  Temperament (17)  |  Theory (970)  |  Thought (953)  |  Train (114)  |  Way (1217)  |  Work (1351)


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.