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

Today in Science History - Quickie Quiz
Who said: “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”
more quiz questions >>
Home > Category Index for Science Quotations > Category Index E > Category: Emphatically

Emphatically Quotes (3 quotes)

Every teacher certainly should know something of non-euclidean geometry. Thus, it forms one of the few parts of mathematics which, at least in scattered catch-words, is talked about in wide circles, so that any teacher may be asked about it at any moment. … Imagine a teacher of physics who is unable to say anything about Rφntgen rays, or about radium. A teacher of mathematics who could give no answer to questions about non-euclidean geometry would not make a better impression.
On the other hand, I should like to advise emphatically against bringing non-euclidean into regular school instruction (i.e., beyond occasional suggestions, upon inquiry by interested pupils), as enthusiasts are always recommending. Let us be satisfied if the preceding advice is followed and if the pupils learn to really understand euclidean geometry. After all, it is in order for the teacher to know a little more than the average pupil.
In George Edward Martin, The Foundations of Geometry and the Non-Euclidean Plane (1982), 72.
Science quotes on:  |  Advice (40)  |  Advise (7)  |  Answer (249)  |  Ask (160)  |  Average (42)  |  Better (192)  |  Beyond (105)  |  Bring (90)  |  Certainly (31)  |  Circle (56)  |  Enthusiast (6)  |  Euclidean (3)  |  Follow (124)  |  Form (314)  |  Geometry (232)  |  Give (201)  |  Imagine (76)  |  Impression (72)  |  Inquiry (45)  |  Instruction (73)  |  Interest (237)  |  Know (556)  |  Learn (288)  |  Least (74)  |  Let (61)  |  Little (188)  |  Mathematics (1205)  |  Moment (107)  |  Non-Euclidean (3)  |  Occasional (14)  |  On The Other Hand (34)  |  Order (242)  |  Part (222)  |  Physics (348)  |  Precede (23)  |  Pupil (36)  |  Question (404)  |  Radium (20)  |  Ray (41)  |  Really (78)  |  Recommend (7)  |  Regular (13)  |  Wilhelm Rφntgen (8)  |  Satisfied (23)  |  Say (228)  |  Scatter (6)  |  School (119)  |  Suggestion (30)  |  Talk (100)  |  Teacher (120)  |  Unable (24)  |  Understand (340)  |  Wide (28)  |  X-ray (19)

Doubtless the reasoning faculty, the mind, is the leading and characteristic attribute of the human race. By the exercise of this, man arrives at the properties of the natural bodies. This is science, properly and emphatically so called. It is the science of pure mathematics; and in the high branches of this science lies the truly sublime of human acquisition. If any attainment deserves that epithet, it is the knowledge, which, from the mensuration of the minutest dust of the balance, proceeds on the rising scale of material bodies, everywhere weighing, everywhere measuring, everywhere detecting and explaining the laws of force and motion, penetrating into the secret principles which hold the universe of God together, and balancing worlds against worlds, and system against system. When we seek to accompany those who pursue studies at once so high, so vast, and so exact; when we arrive at the discoveries of Newton, which pour in day on the works of God, as if a second fiat had gone forth from his own mouth; when, further, we attempt to follow those who set out where Newton paused, making his goal their starting-place, and, proceeding with demonstration upon demonstration, and discovery upon discovery, bring new worlds and new systems of worlds within the limits of the known universe, failing to learn all only because all is infinite; however we may say of man, in admiration of his physical structure, that “in form and moving he is express and admirable,” it is here, and here without irreverence, we may exclaim, “In apprehension how like a god!” The study of the pure mathematics will of course not be extensively pursued in an institution, which, like this [Boston Mechanics’ Institute], has a direct practical tendency and aim. But it is still to be remembered, that pure mathematics lie at the foundation of mechanical philosophy, and that it is ignorance only which can speak or think of that sublime science as useless research or barren speculation.
In Works (1872), Vol. 1, 180.
Science quotes on:  |  Accompany (22)  |  Acquisition (42)  |  Admirable (19)  |  Admiration (44)  |  Aim (89)  |  Apprehension (16)  |  Arrive (35)  |  Attainment (40)  |  Attempt (126)  |  Attribute (38)  |  Balance (55)  |  Barren (15)  |  Body (247)  |  Branch (107)  |  Bring (90)  |  Call (128)  |  Characteristic (96)  |  Demonstration (86)  |  Deserve (28)  |  Detect (14)  |  Direct (84)  |  Discovery (680)  |  Doubtless (8)  |  Dust (49)  |  Epithet (3)  |  Estimates of Mathematics (30)  |  Everywhere (24)  |  Exact (68)  |  Exclaim (4)  |  Exercise (69)  |  Explain (107)  |  Express (65)  |  Extensive (18)  |  Faculty (70)  |  Fail (58)  |  Far (154)  |  Fiat (6)  |  Follow (124)  |  Force (249)  |  Form (314)  |  Forth (13)  |  Foundation (108)  |  Goal (100)  |  God (535)  |  High (153)  |  Hold (94)  |  Human (550)  |  Human Race (69)  |  Ignorance (213)  |  Infinite (130)  |  Institution (39)  |  Irreverence (3)  |  Know (556)  |  Knowledge (1306)  |  Law (515)  |  Lead (160)  |  Learn (288)  |  Lie (115)  |  Limit (126)  |  Material (156)  |  Measure (104)  |  Mechanical (50)  |  Mensuration (2)  |  Mind (760)  |  Minute (44)  |  Motion (160)  |  Mouth (21)  |  Move (94)  |  Natural (173)  |  New (496)  |  New Worlds (5)  |  Sir Isaac Newton (333)  |  Of Course (20)  |  Pause (6)  |  Penetrate (30)  |  Philosophy (259)  |  Physical (134)  |  Pour (10)  |  Practical (133)  |  Principle (292)  |  Proceed (42)  |  Properly (20)  |  Property (126)  |  Pure Mathematics (65)  |  Pursue (23)  |  Reason (471)  |  Remember (82)  |  Research (590)  |  Rise (70)  |  Say (228)  |  Scale (63)  |  Science (2067)  |  Second (59)  |  Secret (131)  |  Seek (107)  |  Set (99)  |  Speak (92)  |  Speculation (104)  |  Starting Point (14)  |  Structure (225)  |  Study (476)  |  Sublime (27)  |  System (191)  |  Tendency (56)  |  Think (347)  |  Together (79)  |  Truly (33)  |  Universe (686)  |  Useless (32)  |  Vast (89)  |  Weigh (14)  |  Work (635)  |  World (898)

From the physician, as emphatically the student of Nature, is expected not only an inquiry into cause, but an investigation of the whole empire of Nature and a determination of the applicability of every species of knowledge to the improvement of his art.
In 'An Inquiry, Analogical and Experimental, into the Different Electrical conditions of Arterial and Venous Blood', New Orleans Medical and Surgical Journal (1853-4), 10, 584-602 & 738-757. As cited in George B. Roth, 'Dr. John Gorrie—Inventor of Artificial Ice and Mechanical Refrigeration', The Scientific Monthly (May 1936) 42 No. 5, 464-469.
Science quotes on:  |  Applicability (6)  |  Art (294)  |  Cause (285)  |  Determination (57)  |  Empire (14)  |  Improvement (74)  |  Inquiry (45)  |  Investigation (176)  |  Knowledge (1306)  |  Nature (1223)  |  Physician (243)  |  Species (221)  |  Student (203)


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.