Celebrating 19 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: Consider

Consider Quotes (81 quotes)

...That day in the account of creation, or those days that are numbers according to its recurrence, are beyond the experience and knowledge of us mortal earthbound men. And if we are able to make any effort towards an understanding of those days, we ought not to rush forward with an ill considered opinion, as if no other reasonable and plausible interpretation could be offered.
iv.44
Science quotes on:  |  Accord (36)  |  Account (68)  |  Beyond (105)  |  Creation (242)  |  Earthbound (3)  |  Effort (144)  |  Experience (342)  |  Forward (36)  |  Interpretation (70)  |  Knowledge (1306)  |  Mortal (28)  |  Number (282)  |  Offer (43)  |  Opinion (176)  |  Plausible (11)  |  Reasonable (27)  |  Recurrence (5)  |  Rush (18)  |  Understand (340)

A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.
…...
Science quotes on:  |  Clear (98)  |  Complete (87)  |  Explain (107)  |  First (314)  |  Mathematics (1205)  |  Meet (31)  |  Street (23)  |  Theory (696)

A new era of ocean exploration can yield discoveries that will help inform everything from critical medical advances to sustainable forms of energy. Consider that AZT, an early treatment for HIV, is derived from a Caribbean reef sponge, or that a great deal of energy—from offshore wind, to OTEC (ocean thermal energy conservation), to wind and wave energy—is yet untapped in our oceans.
In 'Why Exploring the Ocean is Mankind’s Next Giant Leap', contributed to CNN 'Lightyears Blog' (13 Mar 2012).
Science quotes on:  |  Advance (165)  |  AZT (2)  |  Conservation (143)  |  Critical (41)  |  Derive (33)  |  Discovery (680)  |  Early (62)  |  Era (18)  |  Exploration (123)  |  Help (103)  |  Inform (16)  |  Medical (24)  |  New (496)  |  Ocean (149)  |  Offshore (3)  |  Reef (7)  |  Sponge (9)  |  Sustainable Energy (2)  |  Thermal (7)  |  Treatment (100)  |  Untapped (2)  |  Wave (68)  |  Wind (80)  |  Yield (38)

Always design a thing by considering it in its next larger context—a chair in a room, a room in a house, a house in an environment, an environment in a city plan.
Time, July 2, 1956.
Science quotes on:  |  Chair (11)  |  City (48)  |  Context (22)  |  Design (115)  |  Environment (181)  |  House (43)  |  Large (130)  |  Next (35)  |  Plan (87)  |  Room (39)

An old French geometer used to say that a mathematical theory was never to be considered complete till you had made it so clear that you could explain it to the first man you met in the street.
In Nature (1873), 8, 458.
Science quotes on:  |  Clear (98)  |  Complete (87)  |  Explain (107)  |  First (314)  |  French (20)  |  Geometer (24)  |  Mathematics (1205)  |  Meet (31)  |  Old (147)  |  Say (228)  |  Street (23)  |  Study And Research In Mathematics (61)  |  Theory (696)

Anyone who considers arithmetical methods of producing random digits is, of course, in the state of sin. For, as has been pointed out several times, there is no such thing as a random number—there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.
In paper delivered at a symposium on the Monte Carlo method. 'Various Techniques Used in Connection with Random Digits', Journal of Research of the National Bureau of Standards, Appl. Math. Series, Vol. 3 (1951), 3, 36. Reprinted in John von Neumann: Collected Works (1963), Vol. 5, 700. Also often seen misquoted (?) as “Anyone who attempts to generate random numbers by deterministic means is, of course, living in a state of sin.”
Science quotes on:  |  Arithmetic (121)  |  Method (239)  |  Procedure (25)  |  Produce (102)  |  Random Number (2)  |  Sin (30)

Art is usually considered to be not of the highest quality if the desired object is exhibited in the midst of unnecessary lumber.
In Mathematics: Queen and Servant of Sciences (1938), 20. Bell is writing about the postulational method and the art of pruning a set of postulates to bare essentials without internal duplication.
Science quotes on:  |  Art (294)  |  Desired (6)  |  Exhibit (20)  |  High (153)  |  Lumber (5)  |  Mathematics (1205)  |  Midst (7)  |  Object (175)  |  Quality (95)  |  Unnecessary (15)

Astronomy, as the science of cyclical motions, has nothing in common with Geology. But look at Astronomy where she has an analogy with Geology; consider our knowledge of the heavens as a palaetiological science;—as the study of a past condition, from which the present is derived by causes acting in time. Is there no evidence of a beginning, or of a progress?
In History of the Inductive Sciences (1857), Vol. 3, 516.
Science quotes on:  |  Acting (5)  |  Analogy (60)  |  Astronomy (204)  |  Beginning (122)  |  Cause (285)  |  Common (122)  |  Condition (163)  |  Cycle (27)  |  Derived (5)  |  Evidence (183)  |  Geology (201)  |  Heaven (153)  |  Knowledge (1306)  |  Motion (160)  |  Nothing (395)  |  Past (152)  |  Present (176)  |  Progress (368)  |  Science (2067)  |  Study (476)  |  Time (595)

But, as we consider the totality of similarly broad and fundamental aspects of life, we cannot defend division by two as a natural principle of objective order. Indeed, the ‘stuff’ of the universe often strikes our senses as complex and shaded continua, admittedly with faster and slower moments, and bigger and smaller steps, along the way. Nature does not dictate dualities, trinities, quarterings, or any ‘objective’ basis for human taxonomies; most of our chosen schemes, and our designated numbers of categories, record human choices from a cornucopia of possibilities offered by natural variation from place to place, and permitted by the flexibility of our mental capacities. How many seasons (if we wish to divide by seasons at all) does a year contain? How many stages shall we recognize in a human life?
…...
Science quotes on:  |  Admittedly (2)  |  Aspect (58)  |  Basis (91)  |  Big (48)  |  Broad (27)  |  Capacity (64)  |  Category (12)  |  Choice (79)  |  Choose (60)  |  Complex (95)  |  Contain (67)  |  Continua (3)  |  Defend (29)  |  Designation (10)  |  Dictate (11)  |  Divide (40)  |  Division (34)  |  Fast (44)  |  Flexibility (6)  |  Fundamental (164)  |  Human (550)  |  Human Life (29)  |  Life (1131)  |  Mental (78)  |  Moment (107)  |  Natural (173)  |  Nature (1223)  |  Number (282)  |  Objective (66)  |  Offer (43)  |  Often (106)  |  Order (242)  |  Permit (31)  |  Place (175)  |  Possibility (116)  |  Principle (292)  |  Recognize (69)  |  Record (68)  |  Scheme (25)  |  Season (26)  |  Sense (321)  |  Shade (22)  |  Similarly (3)  |  Slow (56)  |  Small (163)  |  Stage (55)  |  Step (110)  |  Strike (40)  |  Stuff (21)  |  Taxonomy (17)  |  Totality (10)  |  Universe (686)  |  Variation (63)  |  Wish (92)  |  Year (299)

By keenly confronting the enigmas that surround us, and by considering and analyzing the observations that I had made I ended up in the domain of mathematics.
In M.C. Escher: The Graphic Work (1978), 8.
Science quotes on:  |  Analyze (10)  |  Confront (17)  |  Domain (42)  |  Enigma (10)  |  Mathematics (1205)  |  Observation (450)  |  Surround (29)

Causality may be considered as a mode of perception by which we reduce our sense impressions to order.
…...
Science quotes on:  |  Causality (10)  |  Impression (72)  |  Mode (40)  |  Order (242)  |  Perception (64)  |  Reduce (53)  |  Sense (321)

Clarity about the aims and problems of socialism is of greatest significance in our age of transition. Since, under present circumstances, free and unhindered discussion of these problems has come under a powerful taboo, I consider the foundation of this magazine to be an important public service.
…...
Science quotes on:  |  Age (178)  |  Aim (89)  |  Circumstance (66)  |  Clarity (41)  |  Discussion (48)  |  Foundation (108)  |  Free (92)  |  Great (534)  |  Important (205)  |  Magazine (24)  |  Powerful (68)  |  Present (176)  |  Problem (497)  |  Public Service (5)  |  Significance (71)  |  Socialism (4)  |  Taboo (4)  |  Transition (18)

Consider a cow. A cow doesn’t have the problem-solving skill of a chimpanzee, which has discovered how to get termites out of the ground by putting a stick into a hole. Evolution has developed the brain’s ability to solve puzzles, and at the same time has produced in our brain a pleasure of solving problems.
In John Tierney, 'For Decades, Puzzling People With Mathematics', New York Times (20 Oct 2009), D2.
Science quotes on:  |  Ability (108)  |  Brain (213)  |  Chimpanzee (13)  |  Cow (30)  |  Development (289)  |  Discovery (680)  |  Evolution (535)  |  Ground (90)  |  Hole (16)  |  Pleasure (133)  |  Problem (497)  |  Puzzle (35)  |  Skill (66)  |  Solution (216)  |  Stick (24)  |  Termite (7)

Consider the plight of a scientist of my age. I graduated from the University of California at Berkeley in 1940. In the 41 years since then the amount of biological information has increased 16 fold; during these 4 decades my capacity to absorb new information has declined at an accelerating rate and now is at least 50% less than when I was a graduate student. If one defines ignorance as the ratio of what is available to be known to what is known, there seems no alternative to the conclusion that my ignorance is at least 25 times as extensive as it was when I got my bachelor’s degree. Although I am sure that my unfortunate condition comes as no surprise to my students and younger colleagues, I personally find it somewhat depressing. My depression is tempered, however, by the fact that all biologists, young or old, developing or senescing, face the same melancholy situation because of an interlocking set of circumstances.
In 'Scientific innovation and creativity: a zoologist’s point of view', American Zoologist (1982), 22, 228.
Science quotes on:  |  Absorb (16)  |  Accelerate (8)  |  Age (178)  |  Alternative (29)  |  Amount (31)  |  Available (25)  |  Bachelor (3)  |  Berkeley (3)  |  Biological (35)  |  Biologist (41)  |  Capacity (64)  |  Circumstance (66)  |  Colleague (23)  |  Conclusion (160)  |  Condition (163)  |  Decade (32)  |  Decline (17)  |  Define (49)  |  Degree (82)  |  Depressing (3)  |  Depression (19)  |  Develop (107)  |  Extensive (18)  |  Face (108)  |  Fact (733)  |  Find (408)  |  Fold (8)  |  Graduate (13)  |  Graduate Student (4)  |  Ignorance (213)  |  Increase (146)  |  Information (122)  |  Interlocking (2)  |  Know (556)  |  Least (74)  |  Less (102)  |  Melancholy (9)  |  New (496)  |  Old (147)  |  Personally (7)  |  Plight (3)  |  Rate (29)  |  Ratio (19)  |  Same (156)  |  Scientist (522)  |  Seem (143)  |  Set (99)  |  Situation (52)  |  Student (203)  |  Surprise (71)  |  Temper (9)  |  Time (595)  |  Unfortunate (14)  |  University Of California (2)  |  Year (299)  |  Young (100)

Considering that, among all those who up to this time made discoveries in the sciences, it was the mathematicians alone who had been able to arrive at demonstrations—that is to say, at proofs certain and evident—I did not doubt that I should begin with the same truths that they have investigated, although I had looked for no other advantage from them than to accustom my mind to nourish itself upon truths and not to be satisfied with false reasons.
In Discourse upon Method, Part 2, in Henry A. Torrey (ed., trans. )Philosophy of Descartes in Extracts from His Writings , (1892), 47-48.
Science quotes on:  |  Accustom (9)  |  Advantage (77)  |  Alone (106)  |  Arrive (35)  |  Begin (108)  |  Certain (126)  |  Demonstration (86)  |  Discovery (680)  |  Doubt (160)  |  Evident (29)  |  False (99)  |  Investigate (65)  |  Mathematician (384)  |  Mind (760)  |  Nourish (16)  |  Proof (245)  |  Reason (471)  |  Same (156)  |  Satisfied (23)  |  Say (228)  |  Science (2067)  |  Time (595)  |  Truth (928)

Dissection ... teaches us that the body of man is made up of certain kinds of material, so differing from each other in optical and other physical characters and so built up together as to give the body certain structural features. Chemical examination further teaches us that these kinds of material are composed of various chemical substances, a large number of which have this characteristic that they possess a considerable amount of potential energy capable of being set free, rendered actual, by oxidation or some other chemical change. Thus the body as a whole may, from a chemical point of view, be considered as a mass of various chemical substances, representing altogether a considerable capital of potential energy.
From Introduction to A Text Book of Physiology (1876, 1891), Book 1, 1.
Science quotes on:  |  Actual (48)  |  Altogether (9)  |  Body (247)  |  Capable (51)  |  Capital (15)  |  Character (118)  |  Characteristic (96)  |  Chemical (79)  |  Chemical Change (4)  |  Compose (17)  |  Considerable (20)  |  Dissection (29)  |  Examination (65)  |  Free (92)  |  Made (14)  |  Mass (78)  |  Material (156)  |  Optical (3)  |  Oxidation (6)  |  Physical (134)  |  Physiology (83)  |  Point Of View (41)  |  Potential Energy (3)  |  Render (33)  |  Represent (43)  |  Set (99)  |  Structural (8)  |  Various (47)  |  Whole (192)

Equations are Expressions of Arithmetical Computation, and properly have no place in Geometry, except as far as Quantities truly Geometrical (that is, Lines, Surfaces, Solids, and Proportions) may be said to be some equal to others. Multiplications, Divisions, and such sort of Computations, are newly received into Geometry, and that unwarily, and contrary to the first Design of this Science. For whosoever considers the Construction of a Problem by a right Line and a Circle, found out by the first Geometricians, will easily perceive that Geometry was invented that we might expeditiously avoid, by drawing Lines, the Tediousness of Computation. Therefore these two Sciences ought not to be confounded. The Ancients did so industriously distinguish them from one another, that they never introduced Arithmetical Terms into Geometry. And the Moderns, by confounding both, have lost the Simplicity in which all the Elegance of Geometry consists. Wherefore that is Arithmetically more simple which is determined by the more simple Equation, but that is Geometrically more simple which is determined by the more simple drawing of Lines; and in Geometry, that ought to be reckoned best which is geometrically most simple.
In 'On the Linear Construction of Equations', Universal Arithmetic (1769), Vol. 2, 470.
Science quotes on:  |  Ancient (106)  |  Arithmetic (121)  |  Arithmetical (11)  |  Avoid (55)  |  Best (173)  |  Both (81)  |  Circle (56)  |  Computation (18)  |  Confound (14)  |  Consist (46)  |  Construction (83)  |  Contrary (34)  |  Design (115)  |  Determine (76)  |  Distinguish (64)  |  Division (34)  |  Draw (55)  |  Easily (35)  |  Elegance (30)  |  Equal (83)  |  Equation (96)  |  Expression (110)  |  Far (154)  |  Find (408)  |  Geometrician (6)  |  Geometry (232)  |  Industrious (9)  |  Introduce (42)  |  Invent (51)  |  Line (90)  |  Lose (94)  |  Modern (162)  |  Multiplication (23)  |  Perceive (40)  |  Place (175)  |  Problem (497)  |  Proportion (72)  |  Quantity (65)  |  Reckon (16)  |  Right (197)  |  Science (2067)  |  Simple (178)  |  Simplicity (147)  |  Solid (50)  |  Sort (49)  |  Surface (101)  |  Teaching of Mathematics (39)  |  Tedious (9)  |  Term (122)  |  Truly (33)  |  Wherefore (2)

Euclidean mathematics assumes the completeness and invariability of mathematical forms; these forms it describes with appropriate accuracy and enumerates their inherent and related properties with perfect clearness, order, and completeness, that is, Euclidean mathematics operates on forms after the manner that anatomy operates on the dead body and its members. On the other hand, the mathematics of variable magnitudes—function theory or analysis—considers mathematical forms in their genesis. By writing the equation of the parabola, we express its law of generation, the law according to which the variable point moves. The path, produced before the eyes of the student by a point moving in accordance to this law, is the parabola.
If, then, Euclidean mathematics treats space and number forms after the manner in which anatomy treats the dead body, modern mathematics deals, as it were, with the living body, with growing and changing forms, and thus furnishes an insight, not only into nature as she is and appears, but also into nature as she generates and creates,—reveals her transition steps and in so doing creates a mind for and understanding of the laws of becoming. Thus modern mathematics bears the same relation to Euclidean mathematics that physiology or biology … bears to anatomy.
In Die Mathematik die Fackelträgerin einer neuen Zeit (1889), 38. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 112-113.
Science quotes on:  |  Accord (36)  |  Accordance (10)  |  Accuracy (60)  |  Analysis (166)  |  Anatomy (63)  |  Appear (118)  |  Appropriate (28)  |  Bear (67)  |  Become (172)  |  Biology (168)  |  Body (247)  |  Change (364)  |  Clearness (11)  |  Completeness (15)  |  Create (153)  |  Dead (57)  |  Deal (49)  |  Describe (57)  |  Enumerate (3)  |  Equation (96)  |  Euclid (54)  |  Express (65)  |  Eye (222)  |  Form (314)  |  Furnish (42)  |  Generate (14)  |  Generation (141)  |  Genesis (17)  |  Grow (99)  |  Inherent (30)  |  Invariability (5)  |  Living Body (3)  |  Magnitude (45)  |  Manner (57)  |  Member (40)  |  Mind (760)  |  Move (94)  |  Number (282)  |  On The Other Hand (34)  |  Operate (17)  |  Order (242)  |  Parabola (2)  |  Path (84)  |  Perfect (89)  |  Physiology (83)  |  Point (123)  |  Produce (102)  |  Property (126)  |  Relate (20)  |  Relation (154)  |  Reveal (52)  |  Same (156)  |  Space (257)  |  Step (110)  |  Student (203)  |  Transition (18)  |  Treat (34)  |  Understand (340)  |  Variable (16)  |  Write (154)

Every discipline must be honored for reason other than its utility, otherwise it yields no enthusiasm for industry.
For both reasons, I consider mathematics the chief subject for the common school. No more highly honored exercise for the mind can be found; the buoyancy [Spannkraft] which it produces is even greater than that produced by the ancient languages, while its utility is unquestioned.
In 'Mathematischer Lehrplan für Realschulen' Werke [Kehrbach] (1890), Bd. 5, 167. (Mathematics Curriculum for Secondary Schools). As quoted, cited and translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-Book (1914), 61.
Science quotes on:  |  Ancient (106)  |  Buoyancy (7)  |  Chief (38)  |  Common (122)  |  Discipline (53)  |  Enthusiasm (43)  |  Exercise (69)  |  Honored (3)  |  Industry (109)  |  Language (228)  |  Mathematics (1205)  |  Mind (760)  |  Produce (102)  |  Reason (471)  |  School (119)  |  Subject (240)  |  Unquestioned (6)  |  Utility (33)  |  Value Of Mathematics (60)  |  Yield (38)

Every investigator must before all things look upon himself as one who is summoned to serve on a jury. He has only to consider how far the statement of the case is complete and clearly set forth by the evidence. Then he draws his conclusion and gives his vote, whether it be that his opinion coincides with that of the foreman or not.
In The Maxims and Reflections of Goethe (1906), 190.
Science quotes on:  |  Case (99)  |  Clearly (41)  |  Coincide (5)  |  Complete (87)  |  Conclusion (160)  |  Draw (55)  |  Evidence (183)  |  Far (154)  |  Investigator (35)  |  Jury (3)  |  Opinion (176)  |  Serve (58)  |  Statement (76)  |  Summon (6)  |  Vote (13)

Firefly meteorites blazed against a dark background, and sometimes the lightning was frighteningly brilliant. Like a boy, I gazed open-mouthed at the fireworks, and suddenly, before my eyes, something magical occurred. A greenish radiance poured from Earth directly up to the station, a radiance resembling gigantic phosphorescent organ pipes, whose ends were glowing crimson, and overlapped by waves of swirling green mist.
“Consider yourself very lucky, Vladimir,” I said to myself, “to have watched the northern lights.”
…...
Science quotes on:  |  Background (30)  |  Blaze (14)  |  Boy (46)  |  Brilliant (28)  |  Crimson (4)  |  Dark (77)  |  Directly (22)  |  Earth (638)  |  End (195)  |  Eye (222)  |  Firefly (7)  |  Firework (2)  |  Gaze (16)  |  Gigantic (23)  |  Glow (14)  |  Green (32)  |  Lightning (33)  |  Lucky (12)  |  Magic (78)  |  Meteorite (8)  |  Mist (9)  |  Myself (36)  |  Northern Lights (2)  |  Occur (43)  |  Organ (64)  |  Overlap (6)  |  Phosphorescent (2)  |  Pipe (7)  |  Pour (10)  |  Radiance (6)  |  Resemble (29)  |  Say (228)  |  Sometimes (43)  |  Station (12)  |  Suddenly (17)  |  Swirl (10)  |  Watch (65)  |  Wave (68)

For we may remark generally of our mathematical researches, that these auxiliary quantities, these long and difficult calculations into which we are often drawn, are almost always proofs that we have not in the beginning considered the objects themselves so thoroughly and directly as their nature requires, since all is abridged and simplified, as soon as we place ourselves in a right point of view.
In Théorie Nouvelle de la Rotation des Corps (1834). As translated by Charles Thomas Whitley in Outlines of a New Theory of Rotatory Motion (1834), 4.
Science quotes on:  |  Abridge (2)  |  Auxiliary (6)  |  Beginning (122)  |  Calculation (100)  |  Difficult (121)  |  Direct (84)  |  Long (174)  |  Mathematics (1205)  |  Nature (1223)  |  Object (175)  |  Point Of View (41)  |  Proof (245)  |  Quantity (65)  |  Require (85)  |  Research (590)  |  Right (197)  |  Simplify (11)  |  Thorough (18)

He had read much, if one considers his long life; but his contemplation was much more than his reading. He was wont to say that if he had read as much as other men he should have known no more than other men.
From 'Thomas Hobbes', in Andrew Clark (ed.) Brief Lives (1898), Vol. 1, 349.
Science quotes on:  |  Contemplation (52)  |  Thomas Hobbes (22)  |  Know (556)  |  Life (1131)  |  Long (174)  |  Read (145)

He who thus considers things in their first growth and origin … will obtain the clearest view of them.
Aristotle
In Politics, Book 1, Chap. 1, as translated by Benjamin Jowett (1885), Vol. 1, 2.
Science quotes on:  |  Clear (98)  |  First (314)  |  Growth (124)  |  Obtain (45)  |  Origin (88)  |  View (171)

I consider it extremely doubtful whether the happiness of the human race has been enhanced by the technical and industrial developments that followed in the wake of rapidly progressing natural science.
…...
Science quotes on:  |  Doubtful (9)  |  Enhance (9)  |  Extremely (15)  |  Follow (124)  |  Happiness (94)  |  Human Race (69)  |  Natural Science (90)  |  Progress (368)  |  Rapidly (13)  |  Technical (42)  |  Wake (13)

I consider it important, indeed urgently necessary, for intellectual workers to get together, both to protect their own economic status and, also, generally speaking, to secure their influence in the political field.
…...
Science quotes on:  |  Both (81)  |  Economic (26)  |  Field (171)  |  Generally (15)  |  Important (205)  |  Influence (140)  |  Intellectual (121)  |  Necessary (154)  |  Political (36)  |  Protect (33)  |  Secure (21)  |  Speak (92)  |  Status (20)  |  Together (79)  |  Worker (30)

I have no patience with the doctrine of “pure science,”—that science is science only as it is uncontaminated by application in the arts of life: and I have no patience with the spirit that considers a piece of work to be legitimate only as it has direct bearing on the arts and affairs of men. We must discover all things that are discoverable and make a record of it: the application will take care of itself.
In 'The Survey Idea in Country Life', collected in John Phelan, Readings in Rural Sociology (1920), 480.
Science quotes on:  |  Affair (29)  |  Application (170)  |  Art (294)  |  Bearing (9)  |  Direct (84)  |  Discover (199)  |  Doctrine (75)  |  Legitimate (14)  |  Life (1131)  |  Patience (39)  |  Piece (38)  |  Pure Science (24)  |  Record (68)  |  Spirit (154)  |  Work (635)

I have no right to consider anything a work of art to which I cannot react emotionally; and I have no right to look for the essential quality in anything that I have not felt to be a work of art.
In Art (1913), 9.
Science quotes on:  |  Art (294)  |  Emotionally (3)  |  Essential (117)  |  Feel (167)  |  Quality (95)  |  React (7)  |  Right (197)  |  Work (635)

If I were a medical man, I should prescribe a holiday to any patient who considered his work important.
In The Conquest of Happiness (1930), 74.
Science quotes on:  |  Doctor (102)  |  Holiday (4)  |  Important (205)  |  Medical (24)  |  Patient (125)  |  Prescribe (9)  |  Work (635)

If it is true as Whewell says, that the essence of the triumphs of Science and its progress consists in that it enables us to consider evident and necessary, views which our ancestors held to be unintelligible and were unable to comprehend, then the extension of the number concept to include the irrational, and we will at once add, the imaginary, is the greatest forward step which pure mathematics has ever taken.
In Theorie der Complexen Zahlensysteme (1867), 60. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 281. From the original German, “Wenn es wahr ist, dass, wie Whewell meint, das Wesen der Triumphe der Wissenschaft und ihres Fortschrittes darin besteht, dass wir veranlasst werden, Ansichten, welche unsere Vorfahren für unbegreiflich hielten und unfähig waren zu begreifen, für evident und nothwendig zu halten, so war die Erweiterung des Zahlenbegriffes auf das Irrationale, und wollen wir sogleich hinzufügen, das Imaginäre, der grösste Fortschritt, den die reine Mathematik jemals gemacht hat.”
Science quotes on:  |  Add (40)  |  Ancestor (40)  |  Comprehend (39)  |  Concept (146)  |  Essence (55)  |  Evident (29)  |  Extension (31)  |  Forward (36)  |  Greatest (63)  |  Imaginary Number (6)  |  Include (40)  |  Irrational (13)  |  Necessary (154)  |  Number (282)  |  Progress Of Science (28)  |  Pure Mathematics (65)  |  Step (110)  |  Triumph (46)  |  True (208)  |  Unable (24)  |  Unintelligible (10)  |  View (171)  |  William Whewell (70)

In considering God's power, we must not look for a God of the Gaps, a god who is called in for those phenomena for which there is yet no scientific explanation.
Essay 'Science Will Never Give Us the Answers to All Our Questions', collected in Henry Margenau, and Roy Abraham Varghese (eds.), Cosmos, Bios, Theos (1992), 66.
Science quotes on:  |  Call (128)  |  Explanation (177)  |  Gap (23)  |  God (535)  |  Phenomenon (278)  |  Power (366)  |  Science And Religion (302)  |  Scientific (236)

In Euclid each proposition stands by itself; its connection with others is never indicated; the leading ideas contained in its proof are not stated; general principles do not exist. In modern methods, on the other hand, the greatest importance is attached to the leading thoughts which pervade the whole; and general principles, which bring whole groups of theorems under one aspect, are given rather than separate propositions. The whole tendency is toward generalization. A straight line is considered as given in its entirety, extending both ways to infinity, while Euclid is very careful never to admit anything but finite quantities. The treatment of the infinite is in fact another fundamental difference between the two methods. Euclid avoids it, in modern mathematics it is systematically introduced, for only thus is generality obtained.
In 'Geometry', Encyclopedia Britannica (9th edition).
Science quotes on:  |  Admit (45)  |  Aspect (58)  |  Attach (14)  |  Avoid (55)  |  Both (81)  |  Bring (90)  |  Careful (24)  |  Connection (111)  |  Contain (67)  |  Difference (246)  |  Entirety (4)  |  Euclid (54)  |  Exist (148)  |  Extend (44)  |  Fact (733)  |  Finite (32)  |  Fundamental (164)  |  General (160)  |  Generality (34)  |  Generalization (41)  |  Give (201)  |  Great (534)  |  Group (72)  |  Idea (580)  |  Importance (218)  |  Indicate (18)  |  Infinite (130)  |  Infinity (72)  |  Introduce (42)  |  Lead (160)  |  Method (239)  |  Modern (162)  |  Modern Mathematics (38)  |  Obtain (45)  |  On The Other Hand (34)  |  Pervade (10)  |  Principle (292)  |  Proof (245)  |  Proposition (83)  |  Quantity (65)  |  Separate (74)  |  Stand (108)  |  State (137)  |  Straight Line (17)  |  Systematically (7)  |  Tendency (56)  |  Theorem (90)  |  Thought (546)  |  Toward (45)  |  Treatment (100)  |  Whole (192)

In the 1860s, Pasteur not only applied his germ theory to create “Pasteurization,” rescuing France’s wine and vinegar industries, but also found both the cause and cure of silkworm disease, saving growers millions of dollars. When Napoleon asked the scientist why he had not legitimately profited by his findings, Pasteur replied: “In France scientists would consider they lowered themselves by doing so.”
In Jacques Cousteau and Susan Schiefelbein, The Human, the Orchid, and the Octopus: Exploring and Conserving Our Natural World (2007), 190.
Science quotes on:  |  Apply (77)  |  Ask (160)  |  Boneparte_Napoleon (2)  |  Cause (285)  |  Create (153)  |  Cure (96)  |  Discover (199)  |  Disease (275)  |  Dollar (22)  |  France (27)  |  Germ (32)  |  Industry (109)  |  Legitimate (14)  |  Lower (11)  |  Million (111)  |  Louis Pasteur (81)  |  Profit (39)  |  Reply (25)  |  Rescue (10)  |  Scientist (522)  |  Theory (696)  |  Vinegar (6)  |  Wine (28)

It is curious to observe how differently these great men [Plato and Bacon] estimated the value of every kind of knowledge. Take Arithmetic for example. Plato, after speaking slightly of the convenience of being able to reckon and compute in the ordinary transactions of life, passes to what he considers as a far more important advantage. The study of the properties of numbers, he tells us, habituates the mind to the contemplation of pure truth, and raises us above the material universe. He would have his disciples apply themselves to this study, not that they may be able to buy or sell, not that they may qualify themselves to be shop-keepers or travelling merchants, but that they may learn to withdraw their minds from the ever-shifting spectacle of this visible and tangible world, and to fix them on the immutable essences of things.
Bacon, on the other hand, valued this branch of knowledge only on account of its uses with reference to that visible and tangible world which Plato so much despised. He speaks with scorn of the mystical arithmetic of the later Platonists, and laments the propensity of mankind to employ, on mere matters of curiosity, powers the whole exertion of which is required for purposes of solid advantage. He advises arithmeticians to leave these trifles, and employ themselves in framing convenient expressions which may be of use in physical researches.
In 'Lord Bacon', Edinburgh Review (Jul 1837). Collected in Critical and Miscellaneous Essays: Contributed to the Edinburgh Review (1857), Vol. 1, 394.
Science quotes on:  |  Account (68)  |  Advantage (77)  |  Advise (7)  |  Apply (77)  |  Arithmetic (121)  |  Arithmetician (3)  |  Bacon (4)  |  Branch (107)  |  Buy (20)  |  Compute (18)  |  Contemplation (52)  |  Convenience (34)  |  Curiosity (106)  |  Curious (43)  |  Despise (13)  |  Different (186)  |  Disciple (7)  |  Employ (35)  |  Essence (55)  |  Estimate (28)  |  Estimates of Mathematics (30)  |  Example (94)  |  Exertion (15)  |  Expression (110)  |  Fix (25)  |  Frame (26)  |  Great (534)  |  Habituate (3)  |  Immutable (13)  |  Important (205)  |  Kind (140)  |  Knowledge (1306)  |  Lament (9)  |  Late (52)  |  Learn (288)  |  Leave (128)  |  Life (1131)  |  Mankind (241)  |  Material (156)  |  Matter (343)  |  Merchant (6)  |  Mere (82)  |  Mind (760)  |  Mystical (9)  |  Number (282)  |  Observe (76)  |  On The Other Hand (34)  |  Ordinary (73)  |  Pass (93)  |  Physical (134)  |  Plato (76)  |  Platonist (2)  |  Power (366)  |  Propensity (8)  |  Property (126)  |  Pure (103)  |  Purpose (194)  |  Raise (35)  |  Reckon (16)  |  Reference (33)  |  Require (85)  |  Research (590)  |  Scorn (7)  |  Sell (14)  |  Shifting (5)  |  Solid (50)  |  Speak (92)  |  Spectacle (14)  |  Study (476)  |  Tangible (8)  |  Transaction (6)  |  Travel (61)  |  Trifle (15)  |  Truth (928)  |  Universe (686)  |  Value (242)  |  Visible (38)  |  Whole (192)  |  Withdraw (9)  |  World (898)

It is one of the little ironies of our times that while the layman was being indoctrinated with the stereotype image of black holes as the ultimate cookie monsters, the professionals have been swinging round to the almost directly opposing view that black holes, like growing old, are really not so bad when you consider the alternative.
…...
Science quotes on:  |  Alternative (29)  |  Bad (99)  |  Black Holes (4)  |  Cookie (2)  |  Directly (22)  |  Grow (99)  |  Image (59)  |  Irony (8)  |  Layman (18)  |  Little (188)  |  Monster (24)  |  Old (147)  |  Oppose (24)  |  Professional (37)  |  Really (78)  |  Round (26)  |  Stereotype (4)  |  Swing (10)  |  Time (595)  |  Ultimate (84)  |  View (171)

It is only when a child has learned to hold still that it can be considered a creature of sense.
Aphorism as given by the fictional character Dezhnev Senior, in Fantastic Voyage II: Destination Brain (1987), 170.
Science quotes on:  |  Child (252)  |  Creature (155)  |  Hold (94)  |  Learn (288)  |  Sense (321)

It is scientists, not sceptics, who are most willing to consider explanations that conflict with their own. And far from quashing dissent, it is the scientists, not the sceptics, who do most to acknowledge gaps in their studies and point out the limitations of their data—which is where sceptics get much of the mud they fling at the scientists. By contrast, the [sceptics] are not trying to build a theory of anything. They have set the bar much lower, and are happy muddying the waters.
Editorial, Nature (28 Jul 2011), 475, 423-424.
Science quotes on:  |  Acknowledgment (11)  |  Build (117)  |  Climate Change (60)  |  Conflict (55)  |  Contrast (29)  |  Data (120)  |  Dissent (7)  |  Explanation (177)  |  Gap (23)  |  Global Warming (26)  |  Happiness (94)  |  Limitation (30)  |  Mud (15)  |  Scientist (522)  |  Skeptic (8)  |  Study (476)  |  Theory (696)  |  Trying (19)  |  Water (293)  |  Willing (8)

It is the duty of every man of good will to strive steadfastly in his own little world to make this teaching of pure humanity a living force, so far as he can. If he makes an honest attempt in this direction without being crushed and trampled under foot by his contemporaries, he may consider himself and the community to which he belongs lucky.
…...
Science quotes on:  |  Attempt (126)  |  Belong (53)  |  Community (82)  |  Contemporary (30)  |  Crush (7)  |  Direction (76)  |  Duty (68)  |  Far (154)  |  Foot (60)  |  Force (249)  |  Good (345)  |  Honest (34)  |  Humanity (125)  |  Little (188)  |  Live (272)  |  Lucky (12)  |  Pure (103)  |  Strive (45)  |  Teach (188)  |  Trample (3)  |  World (898)

Leibniz never married; he had considered it at the age of fifty; but the person he had in mind asked for time to reflect. This gave Leibniz time to reflect, too, and so he never married.
From the original French, “Leibnitz ne s'était point marié ; il y avait pensé à l'âge de cinquante ans; mais la personne qu’il avait en vue voulut avoir le temps de faire ses réflexions. Cela donna à Leibnitz le loisir de faire aussi les siennes, et il ne se maria point.” In 'Éloge de Leibniz' (1768), in Éloges de Fontenelle (1883), 132.
Science quotes on:  |  Age (178)  |  Ask (160)  |  Gottfried Wilhelm Leibniz (49)  |  Marry (8)  |  Person (154)  |  Reflect (31)  |  Time (595)

Let us ... consider the ovum [egg] as a physical system. Its potentialities are prodigious and one's first impulse is to expect that such vast potentialities would find expression in complexity of structure. But what do we find? The substance is clouded with particles, but these can be centrifuged away leaving it optically structureless but still capable of development.... On the surface of the egg there is a fine membrane, below it fluid of high viscosity, next fluid of relatively low viscosity, and within this the nucleus, which in the resting stage is simply a bag of fluid enclosed in a delicate membrane.... The egg's simplicity is not that of a machine or a crystal, but that of a nebula. Gathered into it are units relatively simple but capable by their combinations of forming a vast number of dynamical systems...
As guest of honour, closing day address (Jun 1928), Sixth Colloid Symposium, Toronto, Canada, 'Living Matter', printed in Harry Boyer Weiser (ed.), Colloid Symposium Monograph (1928), Vol. 6, 15. Quoted in Joseph Needham, Chemical Embryology (1931), Vol. 1, 612-613.
Science quotes on:  |  Combination (91)  |  Complexity (91)  |  Crystal (53)  |  Dynamic (14)  |  Egg (45)  |  Machine (157)  |  Membrane (12)  |  Nebula (15)  |  Nucleus (33)  |  Ovum (4)  |  Potential (39)  |  Prodigious (9)  |  Simplicity (147)  |  System (191)  |  Viscosity (3)

Let us weigh the gain and the loss in wagering that God is. Let us consider the two chances. If you gain, you gain all; if you lose, you lose nothing. Wager then without hesitation that He is.
In Pensées (1670), Section 10. From Blaise Pascal and W.F. Trotter (trans.), 'Thoughts', collected in Charles W. Eliot (ed.), The Harvard Classics (1910), Vol. 48, 85. Also seen translated as, “…consider the two possibilities…”. From the French, “Pesons le gain et la perte, en prenant croix, que Dieu est. Estimons ces deux cas: si vous gagnez, vous gagnez tout; si vous perdez, vous ne perdez rien. Gagez donc qu’il est, sans hésiter,” in Oeuvres Complètes de Blaise Pascal (1864), Vol. 1, 304.
Science quotes on:  |  Chance (160)  |  Gain (70)  |  God (535)  |  Hesitate (6)  |  Lose (94)  |  Loss (73)  |  Nothing (395)  |  Possibility (116)  |  Wager (3)

Mathematic is either Pure or Mixed: To Pure Mathematic belong those sciences which handle Quantity entirely severed from matter and from axioms of natural philosophy. These are two, Geometry and Arithmetic; the one handling quantity continued, the other dissevered. … Mixed Mathematic has for its subject some axioms and parts of natural philosophy, and considers quantity in so far as it assists to explain, demonstrate and actuate these.
In De Augmentis, Bk. 3; Advancement of Learning, Bk. 2.
Science quotes on:  |  Arithmetic (121)  |  Assist (9)  |  Axiom (52)  |  Belong (53)  |  Continue (65)  |  Definitions and Objects of Mathematics (33)  |  Demonstrate (53)  |  Entirely (33)  |  Explain (107)  |  Far (154)  |  Geometry (232)  |  Handle (16)  |  Matter (343)  |  Mixed (6)  |  Natural Philosophy (31)  |  Part (222)  |  Pure (103)  |  Quantity (65)  |  Science (2067)  |  Sever (2)  |  Subject (240)

Mathematical reasoning is deductive in the sense that it is based upon definitions which, as far as the validity of the reasoning is concerned (apart from any existential import), needs only the test of self-consistency. Thus no external verification of definitions is required in mathematics, as long as it is considered merely as mathematics.
In Universal Algebra (1898), Preface, vi.
Science quotes on:  |  Base (71)  |  Concern (110)  |  Deductive (11)  |  Definition (192)  |  Existential (2)  |  External (57)  |  Far (154)  |  Import (5)  |  Long (174)  |  Mathematics (1205)  |  Merely (82)  |  Nature Of Mathematics (80)  |  Need (287)  |  Reason (471)  |  Require (85)  |  Sense (321)  |  Test (125)  |  Validity (31)  |  Verification (27)

Mathematics make the mind attentive to the objects which it considers. This they do by entertaining it with a great variety of truths, which are delightful and evident, but not obvious. Truth is the same thing to the understanding as music to the ear and beauty to the eye. The pursuit of it does really as much gratify a natural faculty implanted in us by our wise Creator as the pleasing of our senses: only in the former case, as the object and faculty are more spiritual, the delight is more pure, free from regret, turpitude, lassitude, and intemperance that commonly attend sensual pleasures.
In An Essay on the Usefulness of Mathematical Learning (1701), 3-4.
Science quotes on:  |  Attentive (5)  |  Beauty (248)  |  Creator (55)  |  Delight (66)  |  Delightful (9)  |  Ear (29)  |  Evident (29)  |  Eye (222)  |  Faculty (70)  |  Free (92)  |  Gratify (3)  |  Implant (4)  |  Intemperance (3)  |  Lassitude (2)  |  Mathematics (1205)  |  Mathematics As A Fine Art (23)  |  Mind (760)  |  Music (106)  |  Natural (173)  |  Object (175)  |  Obvious (83)  |  Please (24)  |  Pleasure (133)  |  Pure (103)  |  Pursuit (79)  |  Regret (21)  |  Sense (321)  |  Sensual (2)  |  Spiritual (57)  |  Truth (928)  |  Turpitude (2)  |  Understand (340)  |  Variety (71)

Mathematics … above all other subjects, makes the student lust after knowledge, fills him, as it were, with a longing to fathom the cause of things and to employ his own powers independently; it collects his mental forces and concentrates them on a single point and thus awakens the spirit of individual inquiry, self-confidence and the joy of doing; it fascinates because of the view-points which it offers and creates certainty and assurance, owing to the universal validity of its methods. Thus, both what he receives and what he himself contributes toward the proper conception and solution of a problem, combine to mature the student and to make him skillful, to lead him away from the surface of things and to exercise him in the perception of their essence. A student thus prepared thirsts after knowledge and is ready for the university and its sciences. Thus it appears, that higher mathematics is the best guide to philosophy and to the philosophic conception of the world (considered as a self-contained whole) and of one’s own being.
In Die Mathematik die Fackelträgerin einer neuen Zeit (1889), 40. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 49.
Science quotes on:  |  Appear (118)  |  Assurance (12)  |  Awaken (15)  |  Best (173)  |  Both (81)  |  Cause (285)  |  Certainty (131)  |  Collect (16)  |  Concentrate (18)  |  Conception (92)  |  Contribute (27)  |  Create (153)  |  Employ (35)  |  Exercise (69)  |  Fascinate (12)  |  Fathom (8)  |  Fill (61)  |  Force (249)  |  Guide (65)  |  Independently (6)  |  Individual (221)  |  Inquiry (45)  |  Joy (88)  |  Knowledge (1306)  |  Lead (160)  |  Long (174)  |  Lust (5)  |  Mathematics (1205)  |  Mature (10)  |  Mental (78)  |  Method (239)  |  Offer (43)  |  Owe (23)  |  Philosophic (4)  |  Philosophy (259)  |  Power (366)  |  Prepare (35)  |  Problem (497)  |  Proper (38)  |  Ready (38)  |  Receive (60)  |  Science (2067)  |  Self-Contained (3)  |  Single (120)  |  Skillful (9)  |  Solution (216)  |  Spirit (154)  |  Student (203)  |  Thirst (11)  |  Universal (105)  |  University (81)  |  Validity (31)  |  Value Of Mathematics (60)  |  Whole (192)  |  World (898)

Negative facts when considered alone never teach us anything.
Science quotes on:  |  Alone (106)  |  Fact (733)  |  Negative (34)  |  Teach (188)

Neither you nor I nor anybody else knows what makes a mathematician tick. It is not a question of cleverness. I know many mathematicians who are far abler than I am, but they have not been so lucky. An illustration may be given by considering two miners. One may be an expert geologist, but he does not find the golden nuggets that the ignorant miner does.
In 'Reminiscences of an Octogenarian Mathematician', The American Mathematical Monthly (Nov 1971), 78, No. 9, 960-961.
Science quotes on:  |  Cleverness (12)  |  Expert (50)  |  Find (408)  |  Geologist (47)  |  Golden (14)  |  Ignorant (40)  |  Illustration (29)  |  Know (556)  |  Lucky (12)  |  Mathematician (384)  |  Miner (9)  |  Nugget (3)  |  Question (404)  |  Tick (6)

No science is immune to the infection of politics and the corruption of power. … The time has come to consider how we might bring about a separation, as complete as possible, between Science and Government in all countries. I call this the disestablishment of science, in the same sense in which the churches have been disestablished and have become independent of the state.
In 'The Disestablishment of Science', Encounter (Jul 1971), 15.
Science quotes on:  |  Church (34)  |  Complete (87)  |  Corruption (10)  |  Country (147)  |  Government (93)  |  Immune (3)  |  Independent (67)  |  Infection (19)  |  Politics (96)  |  Power (366)  |  Science (2067)  |  Separation (36)  |  State (137)  |  Time Has Come (8)

Nothing can be more fatal to progress than a too confident reliance upon mathematical symbols; for the student is only too apt to take the easier course, and consider the formula and not the fact as the physical reality.
In William Thomson and Peter Guthrie Tait, Treatise on Natural Philosophy (1867), Vol. 1, viii.
Science quotes on:  |  Confident (9)  |  Easy (102)  |  Fact (733)  |  Formula (80)  |  Mathematics (1205)  |  Physical (134)  |  Progress (368)  |  Reality (190)  |  Reliance (10)  |  Student (203)  |  Symbol (73)

Now, when all these studies reach the point of inter-communion and connection with one another, and come to be considered in their mutual affinities, then, I think, but not till then, will the pursuit of them have a value for our objects: otherwise there is no profit in them.
Plato
From The Republic, Book 7, Chap. 7, 531. As translated in The Dialogues of Plato (1871), Vol. 2, 367.
Science quotes on:  |  Affinity (14)  |  Communion (3)  |  Connection (111)  |  Mutual (27)  |  Object (175)  |  Point (123)  |  Profit (39)  |  Pursuit (79)  |  Reach (121)  |  Study (476)  |  Value (242)

People usually consider walking on water or in thin air a miracle. But I think the real miracle is not to walk either on water or in thin air, but to walk on earth. Every day we are engaged in a miracle which we don’t even recognize: a blue sky, white clouds, green leaves, the black, curious eyes of a child - our own two eyes. All is a miracle.
…...
Science quotes on:  |  Air (190)  |  Black (42)  |  Blue (56)  |  Child (252)  |  Cloud (69)  |  Curious (43)  |  Earth (638)  |  Engage (25)  |  Eye (222)  |  Green (32)  |  Leave (128)  |  Miracle (66)  |  People (390)  |  Real (149)  |  Recognize (69)  |  Sky (124)  |  Thin (16)  |  Think (347)  |  Usually (31)  |  Walk (67)  |  Water (293)  |  White (56)

Philosophy is the science which considers truth.
Aristotle
In Tryon Edwards, A Dictionary of Thoughts (1908), 410.
Science quotes on:  |  Philosophy (259)  |  Science (2067)  |  Truth (928)

Religion considers the Universe deterministic and science considers it probabilistic—an important distinction.
Epigraph in Isaac Asimov’s Book of Science and Nature Quotations (1988), 221.
Science quotes on:  |  Deterministic (2)  |  Distinction (46)  |  Important (205)  |  Probability (106)  |  Religion (239)  |  Science (2067)  |  Universe (686)

Science is the labor and handicraft of the mind; poetry can only be considered its recreation.
As quoted in Nathaniel Holmes, The Authorship of Shakespeare (1867), 198. Footnoted as Int. Globe, Works (Mont.), XV. 150.
Science quotes on:  |  Handicraft (3)  |  Labor (73)  |  Mind (760)  |  Poetry (124)  |  Recreation (20)  |  Science (2067)  |  Science And Art (181)

Scientists [still] refuse to consider man as an object of scientific scrutiny except through his body. The time has come to realise that an interpretation of the universe—even a positivist one—remains unsatisfying unless it covers the interior as well as the exterior of things; mind as well as matter. The true physics is that which will, one day, achieve the inclusion of man in his wholeness in a coherent picture of the world.
In Teilhard de Chardin and Bernard Wall (trans.), The Phenomenon of Man (1959, 2008), 36. Originally published in French as Le Phénomene Humain (1955).
Science quotes on:  |  Achieve (64)  |  Body (247)  |  Coherent (12)  |  Cover (37)  |  Exterior (6)  |  Inclusion (5)  |  Interior (19)  |  Interpretation (70)  |  Matter (343)  |  Mind (760)  |  Object (175)  |  Physics (348)  |  Picture (77)  |  Positivist (4)  |  Realize (90)  |  Refuse (23)  |  Remain (113)  |  Science And Religion (302)  |  Scientific (236)  |  Scientist (522)  |  Scrutiny (14)  |  Time (595)  |  Time Has Come (8)  |  True (208)  |  Universe (686)  |  Unsatisfying (3)  |  Wholeness (7)  |  World (898)

Sometimes scientists change their minds. New developments cause a rethink. If this bothers you, consider how much damage is being done to the world by people for whom new developments do not cause a rethink.
In Terry Pratchett, Ian Stewart and Jack Cohen, The Science of Discworld (2014), 14.
Science quotes on:  |  Bother (7)  |  Change (364)  |  Damage (28)  |  Development (289)  |  Mind (760)  |  New (496)  |  Rethink (2)  |  Scientist (522)  |  World (898)

Sooner or later in every talk, [David] Brower describes the creation of the world. He invites his listeners to consider the six days of Genesis as a figure of speech for what has in fact been 4 billion years. On this scale, one day equals something like six hundred and sixty-six million years, and thus, all day Monday and until Tuesday noon, creation was busy getting the world going. Life began Tuesday noon, and the beautiful organic wholeness of it developed over the next four days. At 4 p.m. Saturday, the big reptiles came on. At three minutes before midnight on the last day, man appeared. At one-fourth of a second before midnight Christ arrived. At one-fortieth of a second before midnight, the Industrial Revolution began. We are surrounded with people who think that what we have been doing for that one-fortieth of a second can go on indefinitely. They are considered normal, but they are stark. raving mad.
In Encounters with the Archdruid (1971), 79-80.
Science quotes on:  |  Appear (118)  |  Arrive (35)  |  Beautiful (144)  |  Begin (108)  |  Big (48)  |  Billion (62)  |  Brower (2)  |  Busy (28)  |  Christ (6)  |  Creation (242)  |  David (6)  |  Describe (57)  |  Develop (107)  |  Equal (83)  |  Fact (733)  |  Figure (69)  |  Genesis (17)  |  Hundred (64)  |  Indefinitely (10)  |  Industrial Revolution (10)  |  Invite (9)  |  Late (52)  |  Life (1131)  |  Listener (5)  |  Mad (25)  |  Midnight (11)  |  Million (111)  |  Minute (44)  |  Monday (3)  |  Next (35)  |  Noon (6)  |  Normal (28)  |  Organic (55)  |  P (2)  |  People (390)  |  Reptile (26)  |  Saturday (5)  |  Scale (63)  |  Second (59)  |  Sooner (6)  |  Speech (47)  |  Stark (3)  |  Surround (29)  |  Talk (100)  |  Think (347)  |  Tuesday (3)  |  Wholeness (7)  |  World (898)  |  Year (299)

That radioactive elements created by us are found in nature is an astounding event in the history of the earth. And of the Human race. To fail to consider its importance and its consequences would be a folly for which humanity would have to pay a terrible price. When public opinion has been created in the countries concerned and among all the nations, an opinion informed of the dangers involved in going on with the tests and led by the reason which this information imposes, then the statesmen may reach an agreement to stop the experiments.
In 'Excerpts from Message by Schweitzer', New York Times (24 Apr 1957), 4, translated from a letter issued by Schweitzer through the Nobel Committee, asking that public opinion demand an end to nuclear tests.
Science quotes on:  |  Agreement (39)  |  Astounding (3)  |  Consequence (114)  |  Danger (78)  |  Element (162)  |  Event (116)  |  Experiment (602)  |  Fail (58)  |  Folly (32)  |  History Of The Earth (3)  |  Human Race (69)  |  Importance (218)  |  Nature (1223)  |  Price (34)  |  Public Opinion (2)  |  Radioactivity (28)  |  Reach (121)  |  Statesman (18)  |  Stop (76)  |  Terrible (19)  |  Test (125)

The crippling of individuals I consider the worst evil of capitalism. Our whole educational system suffers from this evil. An exaggerated competitive attitude is inculcated into the student, who is trained to worship acquisitive success as a preparation for his future career.
…...
Science quotes on:  |  Acquisitive (2)  |  Attitude (59)  |  Bad (99)  |  Capitalism (7)  |  Career (57)  |  Competitive (8)  |  Cripple (3)  |  Educational (7)  |  Evil (79)  |  Exaggerate (6)  |  Future (287)  |  Inculcate (6)  |  Individual (221)  |  Preparation (43)  |  Student (203)  |  Success (250)  |  Suffer (40)  |  System (191)  |  Train (45)  |  Whole (192)  |  Worship (25)

The eye transmits its own image through the air to all the objects which face it, and also receives them on its own surface, whence the “sensus communis” takes them and considers them.
…...
Science quotes on:  |  Air (190)  |  Eye (222)  |  Face (108)  |  Image (59)  |  Object (175)  |  Receive (60)  |  Surface (101)  |  Transmit (11)

The great artifice of regarding small deviations from the truth as being the truth itself is at the same time the foundation of wit, where the whole thing would often collapse if we were to regard these deviations in a spirit of philosophical rigor.
Aphorism from Georg Christoph Lichtenberg and R.J. Hollingdale (trans.) 'Notebook A: 1765-1770', The Waste Books (1990), 4. Also seen translated as, “The great trick of regarding small departures from the truth as the truth itself—on which is founded the entire integral calculus—is also the basis of our witty speculations, where the whole thing would often collapse if we considered the departures with philosophical rigour,” for example, as quoted in FractalVision: Put Fractals to Work For You (1992), 5, citing Aphorisms: 1764-1799.
Science quotes on:  |  Collapse (17)  |  Departure (9)  |  Entire (47)  |  Foundation (108)  |  Great (534)  |  Integral Calculus (5)  |  Philosophical (23)  |  Regard (95)  |  Rigour (16)  |  Small (163)  |  Speculation (104)  |  Trick (24)  |  Truth (928)  |  Whole (192)  |  Wit (36)

The message from the Moon which we have flashed to the far corners of this planet is that no problem need any longer be considered insoluble.
…...
Science quotes on:  |  Corner (30)  |  Far (154)  |  Flash (34)  |  Insoluble (15)  |  Long (174)  |  Message (35)  |  Moon (199)  |  Need (287)  |  Planet (263)  |  Problem (497)

The more a science advances, the more will it be possible to understand immediately results which formerly could be demonstrated only by means of lengthy intermediate considerations: a mathematical subject cannot be considered as finally completed until this end has been attained.
In Formensystem binärer Formen (1875), 2.
Science quotes on:  |  Advance (165)  |  Attain (45)  |  Complete (87)  |  Consideration (85)  |  Demonstrate (53)  |  End (195)  |  Finally (26)  |  Formerly (5)  |  Immediately (23)  |  Intermediate (20)  |  Lengthy (3)  |  Mathematics (1205)  |  Means (176)  |  Possible (158)  |  Result (389)  |  Science (2067)  |  Study And Research In Mathematics (61)  |  Subject (240)  |  Understand (340)

The observer is not he who merely sees the thing which is before his eyes, but he who sees what parts the thing is composed of. To do this well is a rare talent. One person, from inattention, or attending only in the wrong place, overlooks half of what he sees; another sets down much more than he sees, confounding it with what he imagines, or with what he infers; another takes note of the kind of all the circumstances, but being inexpert in estimating their degree, leaves the quantity of each vague and uncertain; another sees indeed the whole, but makes such an awkward division of it into parts, throwing into one mass things which require to be separated, and separating others which might more conveniently be considered as one, that the result is much the same, sometimes even worse than if no analysis had been attempted at all.
In A System of Logic Ratiocinative and Inductive (1858), 216.
Science quotes on:  |  Analysis (166)  |  Attempt (126)  |  Attend (11)  |  Awkward (7)  |  Circumstance (66)  |  Composed (3)  |  Confound (14)  |  Convenience (34)  |  Degree (82)  |  Division (34)  |  Estimate (28)  |  Eye (222)  |  Half (56)  |  Imagine (76)  |  Inattention (5)  |  Inexpert (2)  |  Infer (12)  |  Kind (140)  |  Mass (78)  |  Merely (82)  |  Note (34)  |  Observation (450)  |  Observer (42)  |  Overlook (12)  |  Part (222)  |  Person (154)  |  Place (175)  |  Quantity (65)  |  Rare (50)  |  Require (85)  |  Result (389)  |  See (369)  |  Separate (74)  |  Set Down (2)  |  Talent (63)  |  Uncertain (14)  |  Vague (26)  |  Whole (192)  |  Worse (24)  |  Wrong (139)

The required techniques of effective reasoning are pretty formal, but as long as programming is done by people that don’t master them, the software crisis will remain with us and will be considered an incurable disease. And you know what incurable diseases do: they invite the quacks and charlatans in, who in this case take the form of Software Engineering gurus.
…...
Science quotes on:  |  Case (99)  |  Charlatan (8)  |  Crisis (19)  |  Disease (275)  |  Effective (30)  |  Engineering (141)  |  Form (314)  |  Formal (33)  |  Incurable (5)  |  Invite (9)  |  Know (556)  |  Long (174)  |  Master (98)  |  People (390)  |  Pretty (20)  |  Program (52)  |  Quack (15)  |  Reason (471)  |  Remain (113)  |  Require (85)  |  Software (13)  |  Technique (49)

The student should read his author with the most sustained attention, in order to discover the meaning of every sentence. If the book is well written, it will endure and repay his close attention: the text ought to be fairly intelligible, even without illustrative examples. Often, far too often, a reader hurries over the text without any sincere and vigorous effort to understand it; and rushes to some example to clear up what ought not to have been obscure, if it had been adequately considered. The habit of scrupulously investigating the text seems to me important on several grounds. The close scrutiny of language is a very valuable exercise both for studious and practical life. In the higher departments of mathematics the habit is indispensable: in the long investigations which occur there it would be impossible to interpose illustrative examples at every stage, the student must therefore encounter and master, sentence by sentence, an extensive and complicated argument.
In 'Private Study of Mathematics', Conflict of Studies and other Essays (1873), 67.
Science quotes on:  |  Adequately (3)  |  Argument (82)  |  Attention (121)  |  Author (62)  |  Book (257)  |  Both (81)  |  Clear (98)  |  Close (67)  |  Complicated (62)  |  Department (47)  |  Discover (199)  |  Effort (144)  |  Encounter (22)  |  Endure (20)  |  Example (94)  |  Exercise (69)  |  Extensive (18)  |  Fairly (4)  |  Far (154)  |  Ground (90)  |  Habit (112)  |  High (153)  |  Hurry (9)  |  Important (205)  |  Impossible (113)  |  Indispensable (28)  |  Intelligible (19)  |  Investigate (65)  |  Investigation (176)  |  Language (228)  |  Life (1131)  |  Long (174)  |  Master (98)  |  Mathematics (1205)  |  Mean (101)  |  Obscure (32)  |  Occur (43)  |  Often (106)  |  Order (242)  |  Practical (133)  |  Read (145)  |  Reader (40)  |  Repay (3)  |  Rush (18)  |  Scrupulous (5)  |  Scrutiny (14)  |  Seem (143)  |  Sentence (28)  |  Several (31)  |  Sincere (4)  |  Stage (55)  |  Student (203)  |  Studious (2)  |  Study And Research In Mathematics (61)  |  Sustain (23)  |  Text (14)  |  Understand (340)  |  Value (242)  |  Vigorous (20)  |  Write (154)

There are many modes of thinking about the world around us and our place in it. I like to consider all the angles from which we might gain perspective on our amazing universe and the nature of existence.
With co-author Kenneth William Ford Geons, Black Holes, and Quantum Foam: A Life in Physics (1998, 2010), 153.
Science quotes on:  |  Amazing (21)  |  Angle (20)  |  Existence (299)  |  Gain (70)  |  Mode (40)  |  Nature (1223)  |  Perspective (22)  |  Place (175)  |  Thinking (231)  |  Universe (686)  |  World (898)

There are still psychologists who, in a basic misunderstanding, think that gestalt theory tends to underestimate the role of past experience. Gestalt theory tries to differentiate between and-summative aggregates, on the one hand, and gestalten, structures, on the other, both in sub-wholes and in the total field, and to develop appropriate scientific tools for investigating the latter. It opposes the dogmatic application to all cases of what is adequate only for piecemeal aggregates. The question is whether an approach in piecemeal terms, through blind connections, is or is not adequate to interpret actual thought processes and the role of the past experience as well. Past experience has to be considered thoroughly, but it is ambiguous in itself; so long as it is taken in piecemeal, blind terms it is not the magic key to solve all problems.
In Productive Thinking (1959), 65.
Science quotes on:  |  Actual (48)  |  Adequate (25)  |  Aggregate (14)  |  Ambiguous (5)  |  Application (170)  |  Approach (54)  |  Appropriate (28)  |  Basic (66)  |  Blind (47)  |  Connection (111)  |  Develop (107)  |  Differentiate (13)  |  Dogmatic (7)  |  Experience (342)  |  Field (171)  |  Gestalt (3)  |  Interpret (19)  |  Investigate (65)  |  Key (50)  |  Magic (78)  |  Misunderstanding (9)  |  Oppose (24)  |  Past (152)  |  Piecemeal (3)  |  Problem (497)  |  Process (267)  |  Psychologist (15)  |  Question (404)  |  Role (49)  |  Scientific (236)  |  Solve (78)  |  Structure (225)  |  Theory (696)  |  Think (347)  |  Thoroughly (14)  |  Thought (546)  |  Tool (87)  |  Total (36)  |  Try (141)  |  Underestimate (5)

These duplicates in those parts of the body, without which a man might have very well subsisted, though not so well as with them, are a plain demonstration of an all-wise Contriver, as those more numerous copyings which are found among the vessels of the same body are evident demonstrations that they could not be the work of chance. This argument receives additional strength if we apply it to every animal and insect within our knowledge, as well as to those numberless living creatures that are objects too minute for a human eye: and if we consider how the several species in this whole world of life resemble one another in very many particulars, so far as is convenient for their respective states of existence, it is much more probable that a hundred millions of dice should be casually thrown a hundred millions of times in the same number than that the body of any single animal should be produced by the fortuitous concourse of matter.
In The Spectator (22 Nov 1712), No. 543, as collected in Vol. 4 (1721, 10th ed.), 48.
Science quotes on:  |  Additional (6)  |  Animal (359)  |  Apply (77)  |  Argument (82)  |  Body (247)  |  Casually (2)  |  Chance (160)  |  Concourse (5)  |  Contriver (2)  |  Creature (155)  |  Demonstration (86)  |  Dice (18)  |  Duplicate (4)  |  Evident (29)  |  Evolution (535)  |  Existence (299)  |  Fortuitous (8)  |  Human Eye (2)  |  Insect (64)  |  Knowledge (1306)  |  Life (1131)  |  Live (272)  |  Matter (343)  |  Million (111)  |  Minute (44)  |  Numerous (29)  |  Object (175)  |  Particular (76)  |  Probability (106)  |  Probable (20)  |  Produce (102)  |  Receive (60)  |  Resemble (29)  |  Species (221)  |  Strength (81)  |  Subsist (5)  |  Throw (43)  |  Vessel (28)  |  Wisdom (182)

To ask what qualities distinguish good from routine scientific research is to address a question that should be of central concern to every scientist. We can make the question more tractable by rephrasing it, “What attributes are shared by the scientific works which have contributed importantly to our understanding of the physical world—in this case the world of living things?” Two of the most widely accepted characteristics of good scientific work are generality of application and originality of conception. . These qualities are easy to point out in the works of others and, of course extremely difficult to achieve in one’s own research. At first hearing novelty and generality appear to be mutually exclusive, but they really are not. They just have different frames of reference. Novelty has a human frame of reference; generality has a biological frame of reference. Consider, for example, Darwinian Natural Selection. It offers a mechanism so widely applicable as to be almost coexistent with reproduction, so universal as to be almost axiomatic, and so innovative that it shook, and continues to shake, man’s perception of causality.
In 'Scientific innovation and creativity: a zoologist’s point of view', American Zoologist (1982), 22, 230.
Science quotes on:  |  Accept (65)  |  Achieve (64)  |  Address (12)  |  Appear (118)  |  Applicable (11)  |  Application (170)  |  Ask (160)  |  Attribute (38)  |  Axiomatic (2)  |  Biological (35)  |  Case (99)  |  Causality (10)  |  Central (34)  |  Characteristic (96)  |  Conception (92)  |  Concern (110)  |  Continue (65)  |  Contribute (27)  |  Darwinian (9)  |  Different (186)  |  Difficult (121)  |  Distinguish (64)  |  Easy (102)  |  Example (94)  |  Exclusive (16)  |  Extremely (15)  |  First (314)  |  Frame (26)  |  Frame of Reference (4)  |  Generality (34)  |  Good (345)  |  Hear (63)  |  Human (550)  |  Importantly (3)  |  Innovative (2)  |  Living Things (5)  |  Mechanism (52)  |  Mutually (7)  |  Natural Selection (90)  |  Novelty (23)  |  Of Course (20)  |  Offer (43)  |  Originality (18)  |  Perception (64)  |  Physical World (12)  |  Point Out (8)  |  Quality (95)  |  Question (404)  |  Really (78)  |  Reference (33)  |  Rephrase (2)  |  Reproduction (61)  |  Research (590)  |  Routine (19)  |  Scientific (236)  |  Scientist (522)  |  Shake (29)  |  Share (49)  |  Understand (340)  |  Universal (105)  |  Widely (8)  |  Work (635)  |  World (898)

True science investigates and brings to human perception such truths and such knowledge as the people of a given time and society consider most important. Art transmits these truths from the region of perception to the region of emotion.
…...
Science quotes on:  |  Art (294)  |  Bring (90)  |  Emotion (78)  |  Give (201)  |  Human (550)  |  Important (205)  |  Investigate (65)  |  Knowledge (1306)  |  People (390)  |  Perception (64)  |  Region (36)  |  Science (2067)  |  Society (228)  |  Time (595)  |  Transmit (11)  |  True (208)  |  True Science (22)  |  Truth (928)

Two extreme views have always been held as to the use of mathematics. To some, mathematics is only measuring and calculating instruments, and their interest ceases as soon as discussions arise which cannot benefit those who use the instruments for the purposes of application in mechanics, astronomy, physics, statistics, and other sciences. At the other extreme we have those who are animated exclusively by the love of pure science. To them pure mathematics, with the theory of numbers at the head, is the only real and genuine science, and the applications have only an interest in so far as they contain or suggest problems in pure mathematics.
Of the two greatest mathematicians of modern tunes, Newton and Gauss, the former can be considered as a representative of the first, the latter of the second class; neither of them was exclusively so, and Newton’s inventions in the science of pure mathematics were probably equal to Gauss’s work in applied mathematics. Newton’s reluctance to publish the method of fluxions invented and used by him may perhaps be attributed to the fact that he was not satisfied with the logical foundations of the Calculus; and Gauss is known to have abandoned his electro-dynamic speculations, as he could not find a satisfying physical basis. …
Newton’s greatest work, the Principia, laid the foundation of mathematical physics; Gauss’s greatest work, the Disquisitiones Arithmeticae, that of higher arithmetic as distinguished from algebra. Both works, written in the synthetic style of the ancients, are difficult, if not deterrent, in their form, neither of them leading the reader by easy steps to the results. It took twenty or more years before either of these works received due recognition; neither found favour at once before that great tribunal of mathematical thought, the Paris Academy of Sciences. …
The country of Newton is still pre-eminent for its culture of mathematical physics, that of Gauss for the most abstract work in mathematics.
In History of European Thought in the Nineteenth Century (1903), 630.
Science quotes on:  |  Abandon (48)  |  Abstract (86)  |  Academy Of Sciences (4)  |  Algebra (104)  |  Ancient (106)  |  Animated (5)  |  Application (170)  |  Applied Mathematics (15)  |  Arise (49)  |  Arithmetic (121)  |  Astronomy (204)  |  Attribute (38)  |  Basis (91)  |  Benefit (73)  |  Both (81)  |  Calculate (33)  |  Calculus (51)  |  Cease (39)  |  Class (84)  |  Contain (67)  |  Country (147)  |  Culture (104)  |  Deterrent (2)  |  Difficult (121)  |  Discussion (48)  |  Distinguish (64)  |  Due (20)  |  Easy (102)  |  Equal (83)  |  Exclusively (10)  |  Extreme (56)  |  Fact (733)  |  Far (154)  |  Favor (30)  |  Find (408)  |  First (314)  |  Fluxions (2)  |  Form (314)  |  Former (25)  |  Foundation (108)  |  Carl Friedrich Gauss (77)  |  Genuine (26)  |  Great (534)  |  Head (81)  |  High (153)  |  Hold (94)  |  Instrument (95)  |  Interest (237)  |  Invent (51)  |  Invention (324)  |  Know (556)  |  Laid (7)  |  Latter (21)  |  Lead (160)  |  Logical (55)  |  Love (224)  |  Mathematical Physics (9)  |  Mathematician (384)  |  Mathematics (1205)  |  Measure (104)  |  Mechanic (23)  |  Method (239)  |  Modern (162)  |  Sir Isaac Newton (333)  |  Paris (11)  |  Physical (134)  |  Physics (348)  |  Preeminent (5)  |  Principia (10)  |  Probably (48)  |  Problem (497)  |  Publish (34)  |  Pure Mathematics (65)  |  Pure Science (24)  |  Purpose (194)  |  Reader (40)  |  Real (149)  |  Receive (60)  |  Recognition (70)  |  Reluctance (5)  |  Representative (14)  |  Result (389)  |  Satisfied (23)  |  Satisfy (27)  |  Science (2067)  |  Second (59)  |  Snake (16)  |  Soon (34)  |  Speculation (104)  |  Statistics (147)  |  Step (110)  |  Style (22)  |  Suggest (33)  |  Synthetic (16)  |  Theory Of Numbers (5)  |  Thought (546)  |  Tribunal (2)  |  Tune (14)  |  View (171)  |  Work (635)  |  Write (154)  |  Year (299)

We are not to consider the world as the body of God: he is an uniform being, void of organs, members, or parts; and they are his creatures, subordinate to him, and subservient to his will.
From 'Query 31', Opticks (1704, 2nd ed., 1718), 379.
Science quotes on:  |  Body (247)  |  Creature (155)  |  God (535)  |  Member (40)  |  Organ (64)  |  Part (222)  |  Subordinate (9)  |  Subservient (4)  |  Uniform (18)  |  Void (20)  |  World (898)

We consider species to be like a brick in the foundation of a building. You can probably lose one or two or a dozen bricks and still have a standing house. But by the time you’ve lost twenty percent of species, you’re going to destabilize the entire structure. That’s the way ecosystems work.
The Christian Science Monitor (26 May 1989)
Science quotes on:  |  Brick (13)  |  Build (117)  |  Dozen (10)  |  Ecosystem (21)  |  Entire (47)  |  Foundation (108)  |  House (43)  |  Lose (94)  |  Percent (5)  |  Probably (48)  |  Species (221)  |  Stand (108)  |  Structure (225)  |  Time (595)  |  Work (635)

We may regard [Scheele] not only as having given the first indication of the rich harvest to be reaped by the investigation of the compounds of organic chemistry, but as having been the first to discover and make use of characteristic reactions by which closely allied substances can be detected and separated, so that he must be considered one of the chief founders of analytical chemistry.
In Treatise on Chemistry (1877, 1890), Vol. 1, 23.
Science quotes on:  |  Allied (2)  |  Analytical Chemistry (2)  |  Characteristic (96)  |  Chief (38)  |  Close (67)  |  Compound (58)  |  Detect (14)  |  Discover (199)  |  First (314)  |  Founder (16)  |  Harvest (17)  |  Indication (23)  |  Investigation (176)  |  Organic Chemistry (33)  |  Reaction (62)  |  Reap (9)  |  Regard (95)  |  Rich (61)  |  Carl Wilhelm Scheele (5)  |  Separate (74)  |  Substance (87)

Were I disposed to consider the comparative merit of each of them [facts or theories in medical practice], I should derive most of the evils of medicine from supposed facts, and ascribe all the remedies which have been uniformly and extensively useful, to such theories as are true. Facts are combined and rendered useful only by means of theories, and the more disposed men are to reason, the more minute and extensive they become in their observations.
Quoted in John Edmonds Stock, Memoirs of the life of Thomas Beddoes (1810), 401.
Science quotes on:  |  Ascribe (17)  |  Comparison (64)  |  Derive (33)  |  Dispose (9)  |  Evil (79)  |  Fact (733)  |  Medicine (344)  |  Merit (32)  |  Observation (450)  |  Reason (471)  |  Remedy (54)  |  Suppose (49)  |  Theory (696)  |  Truth (928)  |  Usefulness (77)

What we usually consider as impossible are simply engineering problems…there’s no law of physics preventing them.
…...
Science quotes on:  |  Engineering (141)  |  Impossible (113)  |  Law Of Physics (3)  |  Prevent (40)  |  Problem (497)  |  Simple (178)  |  Usual (5)

When I use the phrase “Cosmic Facts,” the reader is asked not to assume too rigid a meaning for the word “facts”; what is considered factual today is tomorrow recognized as capable of further refinement.
From Of Stars and Men: The Human Response to an Expanding Universe (1958 Rev. Ed. 1964), Foreword.
Science quotes on:  |  Capable (51)  |  Cosmic (47)  |  Fact (733)  |  Further (6)  |  Meaning (113)  |  Phrase (29)  |  Recognize (69)  |  Refinement (13)  |  Rigid (13)  |  Today (117)  |  Tomorrow (39)  |  Word (302)

When one considers how hard it is to write a computer program even approaching the intellectual scope of a good paper, and how much greater time and effort have to be put in to make it “almost” formally correct, it is preposterous to claim that mathematics as we practice it is anywhere near formally correct.
In 'On Proof and Progress in Mathematics', For the Learning of Mathematics (Feb 1995), 15, No. 1, 33. Reprinted from Bulletin of the American Mathematical Society (1994), 30, No. 2, 170-171.
Science quotes on:  |  Anywhere (13)  |  Approach (54)  |  Claim (71)  |  Computer (105)  |  Correct (85)  |  Effort (144)  |  Formal (33)  |  Good (345)  |  Greater (42)  |  Hard (99)  |  Intellectual (121)  |  Mathematics (1205)  |  Paper (83)  |  Practice (94)  |  Preposterous (6)  |  Program (52)  |  Scope (23)  |  Time (595)  |  Write (154)

[An outsider views a scientist] as a type of unscrupulous opportunist: he appears as a realist, insofar as he seeks to describe the world independent of the act of perception; as idealist insofar as he looks upon the concepts and theories as the free inventions of the human spirit (not logically derivable from that which is empirically given); as positivist insofar as he considers his concepts and theories justified only to the extent to which they furnish a logical representation of relations among sense experiences. He may even appear as Platonist or Pythagorean insofar as he considers the viewpoint of logical simplicity as an indispensable and effective tool of his research.
In 'Reply to Critcisms', Paul Arthur Schilpp (ed.), Albert Einstein: Philosopher-Scientist (1949, 1959), Vol. 2, 684.
Science quotes on:  |  Appear (118)  |  Concept (146)  |  Describe (57)  |  Effective (30)  |  Empirical (27)  |  Experience (342)  |  Human Spirit (12)  |  Idealist (3)  |  Independent (67)  |  Indispensable (28)  |  Invention (324)  |  Justify (23)  |  Logical (55)  |  Opportunist (3)  |  Outsider (6)  |  Perception (64)  |  Platonist (2)  |  Positivist (4)  |  Realist (2)  |  Relation (154)  |  Representation (36)  |  Research (590)  |  Scientist (522)  |  Sense (321)  |  Simplicity (147)  |  Theory (696)  |  Tool (87)  |  Unscrupulous (2)  |  Viewpoint (8)  |  World (898)

[Howard] Aiken considered Babbage his intellectual “father.”
As stated in Howard Aiken: Portrait of a Computer Pioneer (2000), 61.
Science quotes on:  |  Howard Hathaway Aiken (8)  |  Charles Babbage (54)  |  Father (60)  |  Intellect (192)


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.