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

Today in Science History - Quickie Quiz
Who said: “Dangerous... to take shelter under a tree, during a thunder-gust. It has been fatal to many, both men and beasts.”
more quiz questions >>
Home > Category Index for Science Quotations > Category Index M > Category: Mode

Mode Quotes (41 quotes)

...time and space are modes by which we think and not conditions in which we live.
…...
Science quotes on:  |  Condition (356)  |  Live (628)  |  Space (500)  |  Space-Time (17)  |  Think (1086)  |  Time (1877)  |  Time And Space (39)

And this is the ultimate lesson that our knowledge of the mode of transmission of typhus has taught us: Man carries on his skin a parasite, the louse. Civilization rids him of it. Should man regress, should he allow himself to resemble a primitive beast, the louse begins to multiply again and treats man as he deserves, as a brute beast. This conclusion would have endeared itself to the warm heart of Alfred Nobel. My contribution to it makes me feel less unworthy of the honour which you have conferred upon me in his name.
'Investigations on Typhus', Nobel Lecture, 1928. In Nobel Lectures: Physiology or Medicine 1922-1941 (1965), 187.
Science quotes on:  |  Beast (55)  |  Begin (260)  |  Brute (28)  |  Civilization (204)  |  Conclusion (254)  |  Contribution (89)  |  Deserve (65)  |  Feel (367)  |  Heart (229)  |  Himself (461)  |  Honour (56)  |  Knowledge (1529)  |  Lesson (57)  |  Louse (6)  |  Man (2251)  |  Multiply (37)  |  Name (333)  |  Alfred Bernhard Nobel (16)  |  Parasite (33)  |  Primitive (75)  |  Regression (2)  |  Resemblance (38)  |  Resemble (63)  |  Skin (47)  |  Teaching (188)  |  Transmission (34)  |  Typhus (2)  |  Ultimate (144)  |  Unworthy (18)  |  Warm (69)

As scientific men we have all, no doubt, felt that our fellow men have become more and more satisfying as fish have taken up their work which has been put often to base uses, which must lead to disaster. But what sin is to the moralist and crime to the jurist so to the scientific man is ignorance. On our plane, knowledge and ignorance are the immemorial adversaries. Scientific men can hardly escape the charge of ignorance with regard to the precise effect of the impact of modern science upon the mode of living of the people and upon their civilisation. For them, such a charge is worse than that of crime.
From Banquet Speech (10 Dec 1922), Nobel Prize in Chemistry, collected in Carl Gustaf Santesson (ed.), Les Prix Nobel en 1921-1922 (1923).
Science quotes on:  |  Adversary (6)  |  All (4108)  |  Base (117)  |  Become (815)  |  Charge (59)  |  Civilisation (20)  |  Crime (38)  |  Disaster (51)  |  Doubt (304)  |  Effect (393)  |  Escape (80)  |  Fellow (88)  |  Fish (120)  |  Ignorance (240)  |  Immemorial (3)  |  Impact (42)  |  Jurist (4)  |  Knowledge (1529)  |  Lead (384)  |  Living (491)  |  Man (2251)  |  Men Of Science (143)  |  Modern (385)  |  Modern Science (52)  |  Moralist (2)  |  More (2559)  |  Must (1526)  |  People (1005)  |  Precise (68)  |  Regard (305)  |  Satisfying (5)  |  Science (3879)  |  Scientific (941)  |  Sin (42)  |  Use (766)  |  Work (1351)

Besides accustoming the student to demand, complete proof, and to know when he has not obtained it, mathematical studies are of immense benefit to his education by habituating him to precision. It is one of the peculiar excellencies of mathematical discipline, that the mathematician is never satisfied with à peu près. He requires the exact truth. Hardly any of the non-mathematical sciences, except chemistry, has this advantage. One of the commonest modes of loose thought, and sources of error both in opinion and in practice, is to overlook the importance of quantities. Mathematicians and chemists are taught by the whole course of their studies, that the most fundamental difference of quality depends on some very slight difference in proportional quantity; and that from the qualities of the influencing elements, without careful attention to their quantities, false expectation would constantly be formed as to the very nature and essential character of the result produced.
In An Examination of Sir William Hamilton’s Philosophy (1878), 611. [The French phrase, à peu près means “approximately”. —Webmaster]
Science quotes on:  |  Accustom (52)  |  Advantage (134)  |  Approximate (25)  |  Attention (190)  |  Benefit (114)  |  Both (493)  |  Careful (24)  |  Character (243)  |  Chemist (156)  |  Chemistry (353)  |  Complete (204)  |  Constantly (27)  |  Course (409)  |  Demand (123)  |  Depend (228)  |  Difference (337)  |  Discipline (77)  |  Education (378)  |  Element (310)  |  Error (321)  |  Essential (199)  |  Exact (68)  |  Excellence (39)  |  Expectation (65)  |  False (100)  |  Form (959)  |  Fundamental (250)  |  Habituate (3)  |  Hardly (19)  |  Immense (86)  |  Importance (286)  |  Influence (222)  |  Know (1518)  |  Loose (14)  |  Mathematician (387)  |  Mathematics (1328)  |  Most (1731)  |  Nature (1926)  |  Never (1087)  |  Obtain (163)  |  Opinion (281)  |  Overlook (31)  |  Peculiar (113)  |  Practice (204)  |  Precision (68)  |  Produce (104)  |  Produced (187)  |  Proof (287)  |  Proportional (4)  |  Quality (135)  |  Quantity (132)  |  Require (219)  |  Result (677)  |  Satisfied (23)  |  Science (3879)  |  Slight (31)  |  Source Of Error (2)  |  Student (300)  |  Study (653)  |  Teach (277)  |  Thought (953)  |  Truth (1057)  |  Value Of Mathematics (60)  |  Whole (738)

But nothing of a nature foreign to the duties of my profession [clergyman] engaged my attention while I was at Leeds so much as the, prosecution of my experiments relating to electricity, and especially the doctrine of air. The last I was led into a consequence of inhabiting a house adjoining to a public brewery, where first amused myself with making experiments on fixed air [carbon dioxide] which found ready made in the process of fermentation. When I removed from that house, I was under the necessity making the fixed air for myself; and one experiment leading to another, as I have distinctly and faithfully noted in my various publications on the subject, I by degrees contrived a convenient apparatus for the purpose, but of the cheapest kind. When I began these experiments I knew very little of chemistry, and had in a manner no idea on the subject before I attended a course of chymical lectures delivered in the Academy at Warrington by Dr. Turner of Liverpool. But I have often thought that upon the whole, this circumstance was no disadvantage to me; as in this situation I was led to devise an apparatus and processes of my own, adapted to my peculiar views. Whereas, if I had been previously accustomed to the usual chemical processes, I should not have so easily thought of any other; and without new modes of operation I should hardly have discovered anything materially new.
Memoirs of Dr. Joseph Priestley, in the Year 1795 (1806), Vol. 1, 61-2.
Science quotes on:  |  Academy (35)  |  Accustom (52)  |  Accustomed (46)  |  Adapt (66)  |  Adjoining (3)  |  Air (347)  |  Apparatus (68)  |  Attend (65)  |  Attention (190)  |  Carbon (65)  |  Carbon Dioxide (22)  |  Chemical (292)  |  Chemistry (353)  |  Circumstance (136)  |  Consequence (203)  |  Course (409)  |  Degree (276)  |  Deliver (29)  |  Disadvantage (10)  |  Discover (553)  |  Discovery (780)  |  Duty (68)  |  Electricity (159)  |  Experiment (695)  |  Fermentation (15)  |  First (1283)  |  Fixed Air (2)  |  Foreign (45)  |  House (140)  |  Idea (843)  |  Kind (557)  |  Last (426)  |  Lecture (105)  |  Little (707)  |  Making (300)  |  Myself (212)  |  Nature (1926)  |  Necessity (191)  |  New (1216)  |  Nothing (966)  |  Operation (213)  |  Other (2236)  |  Peculiar (113)  |  Process (423)  |  Profession (99)  |  Publication (101)  |  Purpose (317)  |  Situation (113)  |  Subject (521)  |  Thought (953)  |  Various (200)  |  View (488)  |  Whole (738)

Causality may be considered as a mode of perception by which we reduce our sense impressions to order.
…...
Science quotes on:  |  Causality (11)  |  Consider (416)  |  Impression (114)  |  Order (632)  |  Perception (97)  |  Reduce (94)  |  Sense (770)

Hast thou ever raised thy mind to the consideration of existence, in and by itself, as the mere act of existing?
Hast thou ever said to thyself thoughtfully it is! heedless, in that moment, whether it were a man before thee, or a flower, or a grain of sand;—without reference, in short, to this or that particular mode or form of existence? If thou hast, indeed, attained to this, thou wilt have felt the presence of a mystery, which must have fixed thy spirit in awe and wonder.
In 'Essay IX', The Friend: A Series of Essays (1818), Vol. 3, 250.
Science quotes on:  |  Act (272)  |  Attain (125)  |  Awe (43)  |  Consideration (139)  |  Existence (456)  |  Fixed (17)  |  Flower (106)  |  Form (959)  |  Grain (50)  |  Indeed (324)  |  Man (2251)  |  Mind (1338)  |  Moment (253)  |  Must (1526)  |  Mystery (177)  |  Particular (76)  |  Presence (63)  |  Reference (33)  |  Sand (62)  |  Short (197)  |  Small (477)  |  Spirit (265)  |  Thoughtful (15)  |  Variant (9)  |  Wonder (236)

Higher Mathematics is the art of reasoning about numerical relations between natural phenomena; and the several sections of Higher Mathematics are different modes of viewing these relations.
In Higher Mathematics for Students of Chemistry and Physics (1902), Prologue, xvii.
Science quotes on:  |  Art (657)  |  Definitions and Objects of Mathematics (33)  |  Different (577)  |  Higher Mathematics (6)  |  Mathematics (1328)  |  Natural (796)  |  Numerical (39)  |  Phenomenon (318)  |  Reason (744)  |  Reasoning (207)  |  Relation (157)  |  Section (11)  |  Several (32)  |  View (488)

Historical science is not worse, more restricted, or less capable of achieving firm conclusions because experiment, prediction, and subsumption under invariant laws of nature do not represent its usual working methods. The sciences of history use a different mode of explanation, rooted in the comparative and observational richness in our data. We cannot see a past event directly, but science is usually based on inference, not unvarnished observation (you don’t see electrons, gravity, or black holes either).
…...
Science quotes on:  |  Achieve (66)  |  Badly (32)  |  Base (117)  |  Black Hole (17)  |  Black Holes (4)  |  Capable (168)  |  Comparative (13)  |  Conclusion (254)  |  Data (156)  |  Different (577)  |  Directly (22)  |  Do (1908)  |  Electron (93)  |  Event (216)  |  Experiment (695)  |  Explanation (234)  |  Firm (47)  |  Gravity (132)  |  Historical (70)  |  History (673)  |  Inference (45)  |  Invariant (10)  |  Law (894)  |  Less (103)  |  Method (505)  |  Methods (204)  |  More (2559)  |  Nature (1926)  |  Observation (555)  |  Observational (15)  |  Past (337)  |  Prediction (82)  |  Represent (155)  |  Restrict (12)  |  Richness (14)  |  Root (120)  |  Science (3879)  |  See (1081)  |  Subsumption (3)  |  Unvarnished (2)  |  Use (766)  |  Usually (176)  |  Work (1351)

I bet it would have been a lot of fun to work with Einstein. What I really respect about Einstein is his desire to throw aside all conventional modes and just concentrate on what seems to be the closest we can get to an accurate theory of nature.
Alan Guth
As quoted by Christina Couch, '10 Questions for Alan Guth, Pioneer of the Inflationary Model of the Universe' (7 Jan 2016) on the website for NPR radio program Science Friday.
Science quotes on:  |  Accurate (86)  |  All (4108)  |  Bet (12)  |  Concentrate (26)  |  Conventional (30)  |  Desire (204)  |  Einstein (101)  |  Albert Einstein (605)  |  Fun (38)  |  Lot (151)  |  Nature (1926)  |  Respect (207)  |  Theory (970)  |  Throw (43)  |  Work (1351)

I can see him [Sylvester] now, with his white beard and few locks of gray hair, his forehead wrinkled o’er with thoughts, writing rapidly his figures and formulae on the board, sometimes explaining as he wrote, while we, his listeners, caught the reflected sounds from the board. But stop, something is not right, he pauses, his hand goes to his forehead to help his thought, he goes over the work again, emphasizes the leading points, and finally discovers his difficulty. Perhaps it is some error in his figures, perhaps an oversight in the reasoning. Sometimes, however, the difficulty is not elucidated, and then there is not much to the rest of the lecture. But at the next lecture we would hear of some new discovery that was the outcome of that difficulty, and of some article for the Journal, which he had begun. If a text-book had been taken up at the beginning, with the intention of following it, that text-book was most likely doomed to oblivion for the rest of the term, or until the class had been made listeners to every new thought and principle that had sprung from the laboratory of his mind, in consequence of that first difficulty. Other difficulties would soon appear, so that no text-book could last more than half of the term. In this way his class listened to almost all of the work that subsequently appeared in the Journal. It seemed to be the quality of his mind that he must adhere to one subject. He would think about it, talk about it to his class, and finally write about it for the Journal. The merest accident might start him, but once started, every moment, every thought was given to it, and, as much as possible, he read what others had done in the same direction; but this last seemed to be his real point; he could not read without finding difficulties in the way of understanding the author. Thus, often his own work reproduced what had been done by others, and he did not find it out until too late.
A notable example of this is in his theory of cyclotomic functions, which he had reproduced in several foreign journals, only to find that he had been greatly anticipated by foreign authors. It was manifest, one of the critics said, that the learned professor had not read Rummer’s elementary results in the theory of ideal primes. Yet Professor Smith’s report on the theory of numbers, which contained a full synopsis of Kummer’s theory, was Professor Sylvester’s constant companion.
This weakness of Professor Sylvester, in not being able to read what others had done, is perhaps a concomitant of his peculiar genius. Other minds could pass over little difficulties and not be troubled by them, and so go on to a final understanding of the results of the author. But not so with him. A difficulty, however small, worried him, and he was sure to have difficulties until the subject had been worked over in his own way, to correspond with his own mode of thought. To read the work of others, meant therefore to him an almost independent development of it. Like the man whose pleasure in life is to pioneer the way for society into the forests, his rugged mind could derive satisfaction only in hewing out its own paths; and only when his efforts brought him into the uncleared fields of mathematics did he find his place in the Universe.
In Florian Cajori, Teaching and History of Mathematics in the United States (1890), 266-267.
Science quotes on:  |   (2863)  |  Accident (88)  |  Adhere (3)  |  All (4108)  |  Anticipate (18)  |  Appear (118)  |  Article (22)  |  Author (167)  |  Beard (7)  |  Begin (260)  |  Beginning (305)  |  Being (1278)  |  Board (12)  |  Book (392)  |  Bring (90)  |  Class (164)  |  Companion (19)  |  Consequence (203)  |  Constant (144)  |  Contain (68)  |  Correspond (9)  |  Critic (20)  |  Derive (65)  |  Development (422)  |  Difficulty (196)  |  Direction (175)  |  Discover (553)  |  Discovery (780)  |  Doom (32)  |  Effort (227)  |  Elementary (96)  |  Elucidate (4)  |  Emphasize (23)  |  Error (321)  |  Example (94)  |  Explain (322)  |  Field (364)  |  Figure (160)  |  Final (118)  |  Finally (26)  |  Find (998)  |  First (1283)  |  Follow (378)  |  Forehead (2)  |  Foreign (45)  |  Forest (150)  |  Formula (98)  |  Full (66)  |  Function (228)  |  Genius (284)  |  Give (202)  |  Greatly (12)  |  Hair (25)  |  Half (56)  |  Hand (143)  |  Hear (139)  |  Help (105)  |  Hew (3)  |  Ideal (99)  |  Independent (67)  |  Intention (46)  |  Journal (30)  |  Ernst Eduard Kummer (3)  |  Laboratory (196)  |  Last (426)  |  Late (118)  |  Lead (384)  |  Learn (629)  |  Learned (235)  |  Lecture (105)  |  Life (1795)  |  Likely (34)  |  Listen (73)  |  Listener (7)  |  Little (707)  |  Man (2251)  |  Manifest (21)  |  Mathematicians and Anecdotes (141)  |  Mathematics (1328)  |  Mean (809)  |  Mere (84)  |  Mind (1338)  |  Moment (253)  |  More (2559)  |  Most (1731)  |  Must (1526)  |  New (1216)  |  Next (236)  |  Notable (5)  |  Number (699)  |  Oblivion (10)  |  Often (106)  |  Other (2236)  |  Outcome (13)  |  Oversight (4)  |  Pass (238)  |  Path (144)  |  Pause (6)  |  Peculiar (113)  |  Pioneer (33)  |  Place (177)  |  Pleasure (178)  |  Point (580)  |  Possible (552)  |  Prime (11)  |  Principle (507)  |  Professor (128)  |  Quality (135)  |  Rapidly (66)  |  Read (287)  |  Real (149)  |  Reason (744)  |  Reasoning (207)  |  Report (38)  |  Reproduce (11)  |  Rest (280)  |  Result (677)  |  Right (452)  |  Rugged (7)  |  Rum (3)  |  Same (157)  |  Satisfaction (74)  |  Say (984)  |  See (1081)  |  Seem (145)  |  Several (32)  |  Small (477)  |  Smith (3)  |  Society (326)  |  Something (719)  |  Soon (186)  |  Sound (183)  |  Spring (133)  |  Start (221)  |  Stop (80)  |  Subject (521)  |  Subsequently (2)  |  James Joseph Sylvester (58)  |  Synopsis (2)  |  Talk (100)  |  Term (349)  |  Textbook (36)  |  Theory (970)  |  Theory Of Numbers (7)  |  Think (1086)  |  Thought (953)  |  Trouble (107)  |  Understand (606)  |  Understanding (513)  |  Universe (857)  |  Way (1217)  |  Weakness (48)  |  White (127)  |  Work (1351)  |  Worry (33)  |  Wrinkle (4)  |  Write (230)  |  Writing (189)

In the study of ideas, it is necessary to remember that insistence on hard-headed clarity issues from sentimental feeling, as it were a mist, cloaking the perplexities of fact. Insistence on clarity at all costs is based on sheer superstition as to the mode in which human intelligence functions. Our reasonings grasp at straws for premises and float on gossamers for deductions.
In Adventure of Ideas (1933), 91.
Science quotes on:  |  All (4108)  |  Clarity (47)  |  Cost (86)  |  Deduction (82)  |  Fact (1210)  |  Feeling (250)  |  Float (30)  |  Function (228)  |  Grasp (61)  |  Hard (243)  |  Human (1468)  |  Idea (843)  |  Insistence (12)  |  Intelligence (211)  |  Mist (14)  |  Necessary (363)  |  Premise (37)  |  Reasoning (207)  |  Remember (179)  |  Sentiment (14)  |  Straw (7)  |  Study (653)  |  Superstition (66)

It is imperative in the design process to have a full and complete understanding of how failure is being obviated in order to achieve success. Without fully appreciating how close to failing a new design is, its own designer may not fully understand how and why a design works. A new design may prove to be successful because it has a sufficiently large factor of safety (which, of course, has often rightly been called a “factor of ignorance”), but a design's true factor of safety can never be known if the ultimate failure mode is unknown. Thus the design that succeeds (ie, does not fail) can actually provide less reliable information about how or how not to extrapolate from that design than one that fails. It is this observation that has long motivated reflective designers to study failures even more assiduously than successes.
In Design Paradigms: Case Histories of Error and Judgment in Engineering (1994), 31. books.google.comHenry Petroski - 1994
Science quotes on:  |   (2863)  |  Achievement (179)  |  Appreciation (34)  |  Being (1278)  |  Call (769)  |  Complete (204)  |  Course (409)  |  Design (195)  |  Extrapolation (6)  |  Factor (46)  |  Fail (185)  |  Failure (161)  |  Ignorance (240)  |  Imperative (15)  |  Information (166)  |  Known (454)  |  Large (394)  |  Long (790)  |  More (2559)  |  Motivated (14)  |  Motivation (27)  |  Never (1087)  |  New (1216)  |  Observation (555)  |  Order (632)  |  Process (423)  |  Prove (250)  |  Reflection (90)  |  Reliability (17)  |  Safety (54)  |  Study (653)  |  Succeed (109)  |  Success (302)  |  Successful (123)  |  Sufficiency (16)  |  Ultimate (144)  |  Understand (606)  |  Understanding (513)  |  Unknown (182)  |  Why (491)  |  Work (1351)

It is probable that the scheme of physics will be enlarged so as to embrace the behaviour of living organisms under the influence of life and mind. Biology and psychology are not alien sciences; their operations are not solely mechanical, nor can they be formulated by physics as it is today; but they belong to a physical universe, and their mode of action ought to be capable of being formulated in terms of an enlarged physics in the future, in which the ether will take a predominant place. On the other hand it may be thought that those entities cannot be brought to book so easily, and that they will always elude our ken. If so, there will be a dualism in the universe, which posterity will find staggering, but that will not alter the facts.
In Past Years: an Autobiography (1932), 350. Quoted in book review, Waldehar Kaempfert, 'Sir Oliver Lodge Stands by the Old Physics', New York Times (21 Feb 1932), BR5.
Science quotes on:  |  Action (327)  |  Alien (34)  |  Alter (62)  |  Behaviour (41)  |  Being (1278)  |  Belong (162)  |  Biology (216)  |  Book (392)  |  Capable (168)  |  Dualism (4)  |  Elude (10)  |  Eluding (2)  |  Embrace (46)  |  Enlargement (7)  |  Ether (35)  |  Fact (1210)  |  Facts (553)  |  Find (998)  |  Formulation (36)  |  Future (429)  |  Influence (222)  |  Life (1795)  |  Living (491)  |  Mechanical (140)  |  Mechanics (131)  |  Mind (1338)  |  Operation (213)  |  Operations (107)  |  Organism (220)  |  Other (2236)  |  Physic (517)  |  Physical (508)  |  Physics (533)  |  Posterity (29)  |  Predominance (3)  |  Probability (130)  |  Psychology (154)  |  Scheme (57)  |  Science (3879)  |  Staggering (2)  |  Term (349)  |  Terms (184)  |  Thought (953)  |  Today (314)  |  Universe (857)  |  Will (2355)

It is steadily forgotten that health is a diathesis as much as is scrofula or syphilis and that each of these is a mode of growth.
In Fielding Hudson Garrison, An Introduction to the History of Medicine (1929), 15.
Science quotes on:  |  Forgotten (53)  |  Growth (187)  |  Health (193)  |  Syphilis (6)

It [mathematics] is in the inner world of pure thought, where all entia dwell, where is every type of order and manner of correlation and variety of relationship, it is in this infinite ensemble of eternal verities whence, if there be one cosmos or many of them, each derives its character and mode of being,—it is there that the spirit of mathesis has its home and its life.
Is it a restricted home, a narrow life, static and cold and grey with logic, without artistic interest, devoid of emotion and mood and sentiment? That world, it is true, is not a world of solar light, not clad in the colours that liven and glorify the things of sense, but it is an illuminated world, and over it all and everywhere throughout are hues and tints transcending sense, painted there by radiant pencils of psychic light, the light in which it lies. It is a silent world, and, nevertheless, in respect to the highest principle of art—the interpenetration of content and form, the perfect fusion of mode and meaning—it even surpasses music. In a sense, it is a static world, but so, too, are the worlds of the sculptor and the architect. The figures, however, which reason constructs and the mathematic vision beholds, transcend the temple and the statue, alike in simplicity and in intricacy, in delicacy and in grace, in symmetry and in poise. Not only are this home and this life thus rich in aesthetic interests, really controlled and sustained by motives of a sublimed and supersensuous art, but the religious aspiration, too, finds there, especially in the beautiful doctrine of invariants, the most perfect symbols of what it seeks—the changeless in the midst of change, abiding things hi a world of flux, configurations that remain the same despite the swirl and stress of countless hosts of curious transformations.
In 'The Universe and Beyond', Hibbert Journal (1904-1906), 3, 314.
Science quotes on:  |  Abide (12)  |  Aesthetic (46)  |  Alike (60)  |  All (4108)  |  Architect (29)  |  Art (657)  |  Artistic (23)  |  Aspiration (32)  |  Beautiful (258)  |  Behold (18)  |  Being (1278)  |  Change (593)  |  Character (243)  |  Cold (112)  |  Color (137)  |  Configuration (7)  |  Construct (124)  |  Content (69)  |  Control (167)  |  Correlation (18)  |  Cosmos (63)  |  Countless (36)  |  Curious (91)  |  Delicacy (8)  |  Derive (65)  |  Despite (7)  |  Devoid (11)  |  Doctrine (75)  |  Dwell (15)  |  Emotion (100)  |  Ensemble (7)  |  Especially (31)  |  Eternal (110)  |  Everywhere (94)  |  Figure (160)  |  Find (998)  |  Flux (21)  |  Form (959)  |  Fusion (16)  |  Glorify (6)  |  Grace (31)  |  Grey (10)  |  High (362)  |  Home (170)  |  Host (16)  |  Hue (3)  |  Illuminate (24)  |  Infinite (231)  |  Inner (71)  |  Interest (386)  |  Intricacy (8)  |  Invariant (10)  |  Lie (364)  |  Life (1795)  |  Light (607)  |  Logic (287)  |  Manner (58)  |  Mathematics (1328)  |  Mean (809)  |  Meaning (233)  |  Midst (7)  |  Mood (13)  |  Most (1731)  |  Motive (59)  |  Music (129)  |  Narrow (84)  |  Nature Of Mathematics (80)  |  Nevertheless (90)  |  Order (632)  |  Paint (22)  |  Pencil (20)  |  Penetration (18)  |  Perfect (216)  |  Poise (4)  |  Principle (507)  |  Psychic (13)  |  Pure (291)  |  Radiant (15)  |  Really (78)  |  Reason (744)  |  Relationship (104)  |  Religious (126)  |  Remain (349)  |  Respect (207)  |  Restrict (12)  |  Rich (62)  |  Same (157)  |  Sculptor (9)  |  Seek (213)  |  Sense (770)  |  Sensuous (5)  |  Sentiment (14)  |  Silent (29)  |  Simplicity (167)  |  Solar (8)  |  Spirit (265)  |  Static (8)  |  Statue (16)  |  Stress (22)  |  Sublime (46)  |  Surpass (32)  |  Sustain (46)  |  Swirl (10)  |  Symbol (93)  |  Symmetry (43)  |  Temple (42)  |  Thing (1915)  |  Thought (953)  |  Throughout (98)  |  Tint (2)  |  Transcend (26)  |  Transformation (69)  |  True (212)  |  Type (167)  |  Variety (132)  |  Verity (5)  |  Vision (123)  |  World (1774)

Kant, discussing the various modes of perception by which the human mind apprehends nature, concluded that it is specially prone to see nature through mathematical spectacles. Just as a man wearing blue spectacles would see only a blue world, so Kant thought that, with our mental bias, we tend to see only a mathematical world.
In The Mysterious Universe (1930), 115.
Science quotes on:  |  Apprehension (26)  |  Bias (20)  |  Blue (56)  |  Comprehension (66)  |  Conclusion (254)  |  Discussion (72)  |  Human (1468)  |  Human Mind (128)  |  Immanuel Kant (49)  |  Man (2251)  |  Mathematics (1328)  |  Mental (177)  |  Mind (1338)  |  Nature (1926)  |  Perception (97)  |  Prone (7)  |  See (1081)  |  Seeing (142)  |  Spectacle (33)  |  Spectacles (10)  |  Tend (124)  |  Thought (953)  |  Through (849)  |  Various (200)  |  World (1774)

Let us now declare the means whereby our understanding can rise to knowledge without fear of error. There are two such means: intuition and deduction. By intuition I mean not the varying testimony of the senses, nor the deductive judgment of imagination naturally extravagant, but the conception of an attentive mind so distinct and so clear that no doubt remains to it with regard to that which it comprehends; or, what amounts to the same thing, the self-evidencing conception of a sound and attentive mind, a conception which springs from the light of reason alone, and is more certain, because more simple, than deduction itself. …
It may perhaps be asked why to intuition we add this other mode of knowing, by deduction, that is to say, the process which, from something of which we have certain knowledge, draws consequences which necessarily follow therefrom. But we are obliged to admit this second step; for there are a great many things which, without being evident of themselves, nevertheless bear the marks of certainty if only they are deduced from true and incontestable principles by a continuous and uninterrupted movement of thought, with distinct intuition of each thing; just as we know that the last link of a long chain holds to the first, although we can not take in with one glance of the eye the intermediate links, provided that, after having run over them in succession, we can recall them all, each as being joined to its fellows, from the first up to the last. Thus we distinguish intuition from deduction, inasmuch as in the latter case there is conceived a certain progress or succession, while it is not so in the former; … whence it follows that primary propositions, derived immediately from principles, may be said to be known, according to the way we view them, now by intuition, now by deduction; although the principles themselves can be known only by intuition, the remote consequences only by deduction.
In Rules for the Direction of the Mind, Philosophy of Descartes. [Torrey] (1892), 64-65.
Science quotes on:  |  Accord (36)  |  According (237)  |  Add (40)  |  Admit (45)  |  All (4108)  |  Alone (311)  |  Amount (151)  |  Ask (411)  |  Attentive (14)  |  Bear (159)  |  Being (1278)  |  Case (99)  |  Certain (550)  |  Certainty (174)  |  Chain (50)  |  Clear (100)  |  Comprehend (40)  |  Conceive (98)  |  Conception (154)  |  Consequence (203)  |  Continuous (82)  |  Declare (45)  |  Deduce (25)  |  Deduction (82)  |  Deductive (11)  |  Derive (65)  |  Distinct (97)  |  Distinguish (160)  |  Doubt (304)  |  Draw (137)  |  Error (321)  |  Evident (91)  |  Extravagant (10)  |  Eye (419)  |  Fear (197)  |  Fellow (88)  |  First (1283)  |  Follow (378)  |  Former (137)  |  Glance (34)  |  Great (1574)  |  Hold (95)  |  Imagination (328)  |  Immediately (114)  |  Inasmuch (5)  |  Incontestable (2)  |  Intermediate (37)  |  Intuition (75)  |  Join (26)  |  Judgment (132)  |  Know (1518)  |  Knowing (137)  |  Knowledge (1529)  |  Known (454)  |  Last (426)  |  Latter (21)  |  Let (61)  |  Light (607)  |  Link (43)  |  Long (790)  |  Mark (43)  |  Mean (809)  |  Means (579)  |  Mind (1338)  |  More (2559)  |  Movement (155)  |  Naturally (11)  |  Nature Of Mathematics (80)  |  Necessarily (135)  |  Nevertheless (90)  |  Obliged (6)  |  Other (2236)  |  Primary (80)  |  Principle (507)  |  Process (423)  |  Progress (465)  |  Proposition (123)  |  Provide (69)  |  Reason (744)  |  Recall (10)  |  Regard (305)  |  Remain (349)  |  Remote (83)  |  Rise (166)  |  Run (174)  |  Same (157)  |  Say (984)  |  Second (62)  |  Self (267)  |  Sense (770)  |  Simple (406)  |  Something (719)  |  Sound (183)  |  Spring (133)  |  Step (231)  |  Succession (77)  |  Testimony (21)  |  Themselves (433)  |  Therefrom (2)  |  Thing (1915)  |  Thought (953)  |  True (212)  |  Two (937)  |  Understand (606)  |  Understanding (513)  |  Uninterrupted (7)  |  Vary (27)  |  View (488)  |  Way (1217)  |  Whereby (2)  |  Why (491)

Life is the mode of action of proteins.
Engels’ definition of life, according to William Bragg, as given in Andrew Brown, J.D. Bernal: The Sage of Science (2005), 343.
Science quotes on:  |  Action (327)  |  Life (1795)  |  Protein (54)

Mathematics is a fundamental mode of thinking, impossible to evade.
In 'The Spirit of Research', III, 'Mathematical Research', in The Monist (Oct 1922), 32, No. 4, 543.
Science quotes on:  |  Evade (3)  |  Fundamental (250)  |  Impossible (251)  |  Mathematics (1328)  |  Thinking (414)

Measure, time and number are nothing but modes of thought or rather of imagination.
Letter to Ludvicus Meyer (20 Apr 1663), in Correspondence of Spinoza (2003), 118.
Science quotes on:  |  Imagination (328)  |  Measure (232)  |  Nothing (966)  |  Number (699)  |  Thought (953)  |  Time (1877)

Natural historians tend to avoid tendentious preaching in this philosophical mode (although I often fall victim to such temptations in these essays). Our favored style of doubting is empirical: if I wish to question your proposed generality, I will search for a counterexample in flesh and blood. Such counterexamples exist in abundance, for the form a staple in a standard genre of writing in natural history–the “wonderment of oddity” or “strange ways of the beaver” tradition.
In 'Reversing Established Orders', Leonardo’s Mountain of Clams and the Diet of Worms (2011), 394.
Science quotes on:  |  Abundance (25)  |  Avoid (116)  |  Beaver (7)  |  Blood (134)  |  Doubt (304)  |  Empirical (54)  |  Essay (27)  |  Exist (443)  |  Fall (230)  |  Favor (63)  |  Flesh (27)  |  Form (959)  |  Generality (45)  |  Genre (3)  |  Historian (54)  |  History (673)  |  Natural (796)  |  Natural Historian (2)  |  Natural History (70)  |  Oddity (4)  |  Often (106)  |  Philosophical (23)  |  Preach (11)  |  Propose (23)  |  Question (621)  |  Search (162)  |  Standard (57)  |  Staple (3)  |  Strange (157)  |  Style (23)  |  Temptation (11)  |  Tend (124)  |  Tradition (69)  |  Victim (35)  |  Way (1217)  |  Will (2355)  |  Wish (212)  |  Wonderment (2)  |  Write (230)  |  Writing (189)

Nature is objective, and nature is knowable, but we can only view her through a glass darkly–and many clouds upon our vision are of our own making: social and cultural biases, psychological preferences, and mental limitations (in universal modes of thought, not just individualized stupidity).
…...
Science quotes on:  |  Bias (20)  |  Cloud (104)  |  Cultural (25)  |  Darkly (2)  |  Glass (92)  |  Limitation (47)  |  Making (300)  |  Mental (177)  |  Nature (1926)  |  Objective (91)  |  Preference (28)  |  Psychological (42)  |  Social (252)  |  Stupidity (39)  |  Thought (953)  |  Through (849)  |  Universal (189)  |  View (488)  |  Vision (123)

No collateral science had profited so much by palæontology as that which teaches the structure and mode of formation of the earth’s crust, with the relative position, time, and order of formation of its constituent stratified and unstratified parts. Geology has left her old hand-maiden mineralogy to rest almost wholly on the broad shoulders of her young and vigorous offspring, the science of organic remains.
In article 'Palæontology' contributed to Encyclopædia Britannica (8th ed., 1859), Vol. 17, 91.
Science quotes on:  |   (2863)  |  Broad (27)  |  Collateral (4)  |  Constituent (45)  |  Crust (38)  |  Earth (996)  |  Formation (96)  |  Geology (220)  |  Handmaiden (2)  |  Mineralogy (20)  |  Offspring (27)  |  Old (481)  |  Order (632)  |  Organic (158)  |  Paleontology (31)  |  Position (77)  |  Profit (52)  |  Relative (39)  |  Remain (349)  |  Remains (9)  |  Rest (280)  |  Science (3879)  |  Shoulder (33)  |  Structure (344)  |  Teach (277)  |  Time (1877)  |  Vigorous (20)  |  Wholly (88)  |  Young (227)

On Tuesday evening at Museum, at a ball in the gardens. The night was chill, I dropped too suddenly from Differential Calculus into ladies’ society, and could not give myself freely to the change. After an hour’s attempt so to do, I returned, cursing the mode of life I was pursuing; next morning I had already shaken hands, however, with Diff. Calculus, and forgot the ladies….
From his diary for 10 Aug 1851, as quoted in J. Helen Gardner and Robin J. Wilson, 'Thomas Archer Hirst—Mathematician Xtravagant II: Student Days in Germany', The American Mathematical Monthly (Jun-Jul 1993), 6, No. 100, 534.
Science quotes on:  |   (2863)  |  Already (222)  |  Attempt (251)  |  Ball (62)  |  Calculus (65)  |  Change (593)  |  Chill (9)  |  Differential Calculus (10)  |  Do (1908)  |  Drop (76)  |  Dropped (17)  |  Forget (115)  |  Garden (60)  |  Hand (143)  |  Hour (186)  |  Lady (11)  |  Life (1795)  |  Morning (94)  |  Museum (31)  |  Myself (212)  |  Next (236)  |  Night (120)  |  Pursue (58)  |  Pursuing (27)  |  Return (124)  |  Shake (41)  |  Society (326)  |  Sudden (67)  |  Suddenly (88)

Painting is but one single small mode of expressing my own cosmology, which enables me, through my genius and paranoia, to create a synthesis of nature impossible even for the scientist, because the scientist is too much involved in his specialization.
As quoted in 'Playboy Interview: Salvador Dalí, a candid conversation with the flamboyantly eccentric grand vizier of surrealism', Playboy Magazine (Jul 1964), 46, 48. Quoted and cited in Michael R. Taylor, 'God and the Atom: Salvador Dalí’s Mystical Manifesto and the Contested Origins of Nuclear Painting', Avant-garde Studies (Fall 2016), No. 2, 10.
Science quotes on:  |  Cosmology (25)  |  Create (235)  |  Enable (119)  |  Express (186)  |  Genius (284)  |  Impossible (251)  |  Involve (90)  |  Involved (90)  |  Nature (1926)  |  Painting (44)  |  Paranoia (3)  |  Scientist (820)  |  Single (353)  |  Small (477)  |  Specialization (23)  |  Synthesis (57)  |  Through (849)

Simplification of modes of proof is not merely an indication of advance in our knowledge of a subject, but is also the surest guarantee of readiness for farther progress.
In Lord Kelvin and Peter Guthrie Tait Elements of Natural Philosophy (1873), Preface.
Science quotes on:  |  Advance (280)  |  Farther (51)  |  Father (110)  |  Guarantee (30)  |  Indication (33)  |  Knowledge (1529)  |  Merely (316)  |  Progress (465)  |  Proof (287)  |  Readiness (9)  |  Simplification (20)  |  Subject (521)  |  Surest (5)

The apodictic quality of mathematical thought, the certainty and correctness of its conclusions, are due, not to a special mode of ratiocination, but to the character of the concepts with which it deals. What is that distinctive characteristic? I answer: precision, sharpness, completeness,* of definition. But how comes your mathematician by such completeness? There is no mysterious trick involved; some ideas admit of such precision, others do not; and the mathematician is one who deals with those that do.
In 'The Universe and Beyond', Hibbert Journal (1904-1905), 3, 309. An editorial footnote indicates “precision, sharpness, completeness” — i.e., in terms of the absolutely clear and indefinable.
Science quotes on:  |  Admit (45)  |  Answer (366)  |  Apodictic (3)  |  Certainty (174)  |  Character (243)  |  Characteristic (148)  |  Clear (100)  |  Completeness (19)  |  Concept (221)  |  Conclusion (254)  |  Correctness (12)  |  Deal (188)  |  Definition (221)  |  Distinctive (25)  |  Do (1908)  |  Due (141)  |  Idea (843)  |  Indefinable (5)  |  Involve (90)  |  Involved (90)  |  Mathematician (387)  |  Mathematics (1328)  |  Mysterious (79)  |  Nature Of Mathematics (80)  |  Other (2236)  |  Precision (68)  |  Quality (135)  |  Ratiocination (4)  |  Sharpness (8)  |  Special (184)  |  Term (349)  |  Thought (953)  |  Trick (35)

The intrinsic character of mathematical research and knowledge is based essentially on three properties: first, on its conservative attitude towards the old truths and discoveries of mathematics; secondly, on its progressive mode of development, due to the incessant acquisition of new knowledge on the basis of the old; and thirdly, on its self-sufficiency and its consequent absolute independence.
In Mathematical Essays and Recreations (1898), 87.
Science quotes on:  |  Absolute (145)  |  Acquisition (45)  |  Attitude (82)  |  Basis (173)  |  Character (243)  |  Consequent (19)  |  Conservative (15)  |  Development (422)  |  Discovery (780)  |  Due (141)  |  First (1283)  |  Incessant (8)  |  Independence (34)  |  Intrinsic (18)  |  Knowledge (1529)  |  Mathematics (1328)  |  Nature Of Mathematics (80)  |  New (1216)  |  Old (481)  |  Progressive (17)  |  Property (168)  |  Research (664)  |  Self (267)  |  Sufficiency (16)  |  Sufficient (128)  |  Truth (1057)

The method of scientific investigation is nothing but the expression of the necessary mode of working of the human mind. It is simply the mode at which all phenomena are reasoned about, rendered precise and exact.
In 'Method of Discovery', On Our Knowledge of the Causes of the Phenomena of Organic Nature (1863), 56. Also in excerpt collected in in Isabel S. Gordon and Sophie Sorkin (eds.), The Armchair Science Reader (1959), 263.
Science quotes on:  |  All (4108)  |  Exact (68)  |  Expression (175)  |  Human (1468)  |  Human Mind (128)  |  Investigation (230)  |  Method (505)  |  Mind (1338)  |  Necessary (363)  |  Nothing (966)  |  Phenomenon (318)  |  Precise (68)  |  Reason (744)  |  Render (93)  |  Scientific (941)  |  Scientific Method (175)

The point about zero is that we do not need to use it in the operations of daily life. No one goes out to buy zero fish. It is the most civilized of all the cardinals, and its use is only forced on us by the needs of cultivated modes of thought.
In An Introduction to Mathematics (1911), 63.
Science quotes on:  |  All (4108)  |  Buy (20)  |  Cardinal (9)  |  Civilized (18)  |  Cultivated (7)  |  Daily (87)  |  Daily Life (17)  |  Do (1908)  |  Fish (120)  |  Life (1795)  |  Most (1731)  |  Need (290)  |  Operation (213)  |  Operations (107)  |  Point (580)  |  Thought (953)  |  Use (766)  |  Zero (37)

The process of discovery is very simple. An unwearied and systematic application of known laws to nature, causes the unknown to reveal themselves. Almost any mode of observation will be successful at last, for what is most wanted is method.
In A Week on the Concord and Merrimack Rivers (1862), 382.
Science quotes on:  |  Application (242)  |  Cause (541)  |  Discovery (780)  |  Knowledge (1529)  |  Known (454)  |  Last (426)  |  Law (894)  |  Method (505)  |  Most (1731)  |  Nature (1926)  |  Observation (555)  |  Process (423)  |  Reveal (148)  |  Revelation (48)  |  Simple (406)  |  Simplicity (167)  |  Success (302)  |  Successful (123)  |  System (537)  |  Systematic (57)  |  Themselves (433)  |  Unknown (182)  |  Want (497)  |  Weariness (6)  |  Will (2355)

The progress of science requires more than new data; it needs novel frameworks and contexts. And where do these fundamentally new views of the world arise? They are not simply discovered by pure observation; they require new modes of thought. And where can we find them, if old modes do not even include the right metaphors? The nature of true genius must lie in the elusive capacity to construct these new modes from apparent darkness. The basic chanciness and unpredictability of science must also reside in the inherent difficulty of such a task.
…...
Science quotes on:  |  Apparent (84)  |  Arise (158)  |  Basic (138)  |  Capacity (100)  |  Construct (124)  |  Context (29)  |  Darkness (68)  |  Data (156)  |  Difficulty (196)  |  Discover (553)  |  Do (1908)  |  Elusive (8)  |  Find (998)  |  Framework (31)  |  Fundamentally (3)  |  Genius (284)  |  Include (90)  |  Inherent (42)  |  Lie (364)  |  Metaphor (33)  |  More (2559)  |  Must (1526)  |  Nature (1926)  |  Need (290)  |  New (1216)  |  Novel (32)  |  Observation (555)  |  Old (481)  |  Progress (465)  |  Progress Of Science (34)  |  Pure (291)  |  Require (219)  |  Reside (25)  |  Right (452)  |  Science (3879)  |  Simply (53)  |  Task (147)  |  Thought (953)  |  True (212)  |  Unpredictability (7)  |  View (488)  |  World (1774)

There are children playing in the street who could solve some of my top problems in physics, because they have modes of sensory perception that I lost long ago.
…...
Science quotes on:  |  Child (307)  |  Children (200)  |  Long (790)  |  Long Ago (10)  |  Lose (159)  |  Perception (97)  |  Physic (517)  |  Physics (533)  |  Play (112)  |  Playing (42)  |  Problem (676)  |  Sensory (16)  |  Solve (130)  |  Street (23)  |  Top (96)

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:  |  All (4108)  |  Amazing (35)  |  Angle (20)  |  Consider (416)  |  Existence (456)  |  Gain (145)  |  Nature (1926)  |  Perspective (28)  |  Place (177)  |  Thinking (414)  |  Universe (857)  |  World (1774)

There are, as we have seen, a number of different modes of technological innovation. Before the seventeenth century inventions (empirical or scientific) were diffused by imitation and adaption while improvement was established by the survival of the fittest. Now, technology has become a complex but consciously directed group of social activities involving a wide range of skills, exemplified by scientific research, managerial expertise, and practical and inventive abilities. The powers of technology appear to be unlimited. If some of the dangers may be great, the potential rewards are greater still. This is not simply a matter of material benefits for, as we have seen, major changes in thought have, in the past, occurred as consequences of technological advances.
Concluding paragraph of "Technology," in Dictionary of the History of Ideas (1973), Vol. 4, 364.
Science quotes on:  |  17th Century (16)  |  Ability (152)  |  Activity (210)  |  Advance (280)  |  Appear (118)  |  Become (815)  |  Benefit (114)  |  Century (310)  |  Change (593)  |  Complex (188)  |  Consciously (6)  |  Consequence (203)  |  Danger (115)  |  Different (577)  |  Diffuse (4)  |  Direct (225)  |  Empirical (54)  |  Establish (57)  |  Exemplify (5)  |  Expertise (8)  |  Great (1574)  |  Greater (288)  |  Group (78)  |  Imitation (24)  |  Improvement (108)  |  Innovation (42)  |  Invention (369)  |  Inventive (8)  |  Involve (90)  |  Major (84)  |  Material (353)  |  Matter (798)  |  Number (699)  |  Occur (150)  |  Past (337)  |  Potential (69)  |  Power (746)  |  Practical (200)  |  Range (99)  |  Research (664)  |  Reward (68)  |  Scientific (941)  |  See (1081)  |  Simply (53)  |  Skill (109)  |  Social (252)  |  Still (613)  |  Survival (94)  |  Survival Of The Fittest (40)  |  Technological (61)  |  Technology (257)  |  Thought (953)  |  Unlimited (22)  |  Wide (96)

This theme of mutually invisible life at widely differing scales bears an important implication for the ‘culture wars’ that supposedly now envelop our universities and our intellectual discourse in general ... One side of this false dichotomy features the postmodern relativists who argue that all culturally bound modes of perception must be equally valid, and that no factual truth therefore exists. The other side includes the benighted, old-fashioned realists who insist that flies truly have two wings, and that Shakespeare really did mean what he thought he was saying. The principle of scaling provides a resolution for the false parts of this silly dichotomy. Facts are facts and cannot be denied by any rational being. (Often, facts are also not at all easy to determine or specify–but this question raises different issues for another time.) Facts, however, may also be highly scale dependent–and the perceptions of one world may have no validity or expression in the domain of another. The one-page map of Maine cannot recognize the separate boulders of Acadia, but both provide equally valid representations of a factual coastline.
The World as I See It (1999)
Science quotes on:  |  All (4108)  |  Argue (23)  |  Bear (159)  |  Being (1278)  |  Benighted (2)  |  Bind (25)  |  Both (493)  |  Boulder (8)  |  Bound (119)  |  Coastline (2)  |  Culturally (2)  |  Culture (143)  |  Deny (66)  |  Dependent (24)  |  Determine (144)  |  Dichotomy (4)  |  Differ (85)  |  Different (577)  |  Discourse (18)  |  Domain (69)  |  Easy (204)  |  Envelop (5)  |  Equally (130)  |  Exist (443)  |  Expression (175)  |  Fact (1210)  |  Facts (553)  |  Factual (8)  |  False (100)  |  Feature (44)  |  Fly (146)  |  General (511)  |  Highly (16)  |  Implication (23)  |  Important (209)  |  Include (90)  |  Insist (20)  |  Intellectual (255)  |  Invisible (63)  |  Issue (42)  |  Life (1795)  |  Map (44)  |  Mean (809)  |  Must (1526)  |  Mutually (7)  |  Often (106)  |  Old (481)  |  Old-Fashioned (8)  |  Other (2236)  |  Part (222)  |  Perception (97)  |  Principle (507)  |  Provide (69)  |  Question (621)  |  Raise (35)  |  Rational (90)  |  Realist (2)  |  Really (78)  |  Recognize (125)  |  Relativist (2)  |  Representation (53)  |  Resolution (23)  |  Say (984)  |  Scale (121)  |  Separate (143)  |  Shakespeare (5)  |  Side (233)  |  Silly (17)  |  Specify (6)  |  Supposedly (2)  |  Theme (17)  |  Thought (953)  |  Time (1877)  |  Truly (116)  |  Truth (1057)  |  Two (937)  |  University (121)  |  Valid (11)  |  Validity (47)  |  War (225)  |  Widely (9)  |  Wing (75)  |  World (1774)

We are as remote from adequate explanation of the nature and causes of mechanical evolution of the hard parts of animals as we were when Aristotle first speculated on this subject … I think it is possible that we may never fathom all the causes of mechanical evolution or of the origin of new mechanical characters, but shall have to remain content with observing the modes of mechanical evolution, just as embryologists and geneticists are observing the modes of development, from the fertilized ovum to the mature individual, without in the least understanding either the cause or the nature of the process of development which goes on under their eyes every day
From 'Orthogenesis as observed from paleontological evidence beginning in the year 1889', American Naturalist (1922) 56, 141-142. As quoted and cited in 'G.G. Simpson, Paleontology, and the Modern Synthesis', collected in Ernst Mayr, William B. Provine (eds.), The Evolutionary Synthesis: Perspectives on the Unification of Biology (1998), 171.
Science quotes on:  |  Adequate (46)  |  All (4108)  |  Animal (617)  |  Aristotle (163)  |  Cause (541)  |  Character (243)  |  Development (422)  |  Embryologist (3)  |  Evolution (590)  |  Explanation (234)  |  Eye (419)  |  Fathom (15)  |  Fertilization (15)  |  First (1283)  |  Geneticist (16)  |  Hard (243)  |  Individual (404)  |  Mature (16)  |  Mechanical (140)  |  Mechanics (131)  |  Nature (1926)  |  Never (1087)  |  New (1216)  |  Observation (555)  |  Origin (239)  |  Ovum (4)  |  Possible (552)  |  Process (423)  |  Remain (349)  |  Remote (83)  |  Subject (521)  |  Think (1086)  |  Understanding (513)

When Cayley had reached his most advanced generalizations he proceeded to establish them directly by some method or other, though he seldom gave the clue by which they had first been obtained: a proceeding which does not tend to make his papers easy reading. …
His literary style is direct, simple and clear. His legal training had an influence, not merely upon his mode of arrangement but also upon his expression; the result is that his papers are severe and present a curious contrast to the luxuriant enthusiasm which pervades so many of Sylvester’s papers. He used to prepare his work for publication as soon as he carried his investigations in any subject far enough for his immediate purpose. … A paper once written out was promptly sent for publication; this practice he maintained throughout life. … The consequence is that he has left few arrears of unfinished or unpublished papers; his work has been given by himself to the world.
In Proceedings of London Royal Society (1895), 58, 23-24.
Science quotes on:  |   (2863)  |  Advance (280)  |  Arrangement (91)  |  Arrears (2)  |  Carry (127)  |  Arthur Cayley (17)  |  Clear (100)  |  Clue (17)  |  Consequence (203)  |  Contrast (44)  |  Curious (91)  |  Direct (225)  |  Directly (22)  |  Easy (204)  |  Enough (340)  |  Enthusiasm (52)  |  Establish (57)  |  Expression (175)  |  Far (154)  |  First (1283)  |  Generalization (57)  |  Give (202)  |  Himself (461)  |  Immediate (95)  |  Influence (222)  |  Investigation (230)  |  Leave (130)  |  Legal (8)  |  Life (1795)  |  Literary (13)  |  Maintain (105)  |  Mathematicians and Anecdotes (141)  |  Merely (316)  |  Method (505)  |  Most (1731)  |  Obtain (163)  |  Other (2236)  |  Paper (182)  |  Pervade (10)  |  Practice (204)  |  Prepare (37)  |  Present (619)  |  Proceed (129)  |  Proceeding (39)  |  Prompt (14)  |  Publication (101)  |  Purpose (317)  |  Reach (281)  |  Read (287)  |  Reading (133)  |  Result (677)  |  Seldom (65)  |  Send (22)  |  Severe (16)  |  Simple (406)  |  Soon (186)  |  Style (23)  |  Subject (521)  |  James Joseph Sylvester (58)  |  Tend (124)  |  Throughout (98)  |  Training (80)  |  Unfinished (4)  |  Unpublished (2)  |  Work (1351)  |  World (1774)  |  Write (230)

When we seek a textbook case for the proper operation of science, the correction of certain error offers far more promise than the establishment of probable truth. Confirmed hunches, of course, are more upbeat than discredited hypotheses. Since the worst traditions of ‘popular’ writing falsely equate instruction with sweetness and light, our promotional literature abounds with insipid tales in the heroic mode, although tough stories of disappointment and loss give deeper insight into a methodology that the celebrated philosopher Karl Popper once labeled as ‘conjecture and refutation.’
…...
Science quotes on:  |  Abound (17)  |  Bad (180)  |  Case (99)  |  Celebrate (19)  |  Certain (550)  |  Confirm (57)  |  Conjecture (49)  |  Correction (40)  |  Course (409)  |  Deep (233)  |  Disappointment (16)  |  Discredit (8)  |  Equate (3)  |  Error (321)  |  Establishment (47)  |  Falsely (2)  |  Far (154)  |  Give (202)  |  Heroic (4)  |  Hunch (5)  |  Hypothesis (296)  |  Insight (102)  |  Instruction (91)  |  Label (11)  |  Light (607)  |  Literature (103)  |  Loss (110)  |  Methodology (12)  |  More (2559)  |  Of Course (20)  |  Offer (141)  |  Operation (213)  |  Philosopher (258)  |  Karl Raimund Popper (47)  |  Popular (29)  |  Probable (20)  |  Promise (67)  |  Proper (144)  |  Refutation (12)  |  Science (3879)  |  Seek (213)  |  Story (118)  |  Sweetness (12)  |  Tale (16)  |  Textbook (36)  |  Tough (19)  |  Tradition (69)  |  Truth (1057)  |  Worst (57)  |  Write (230)  |  Writing (189)

[The famous attack of Sir William Hamilton on the tendency of mathematical studies] affords the most express evidence of those fatal lacunae in the circle of his knowledge, which unfitted him for taking a comprehensive or even an accurate view of the processes of the human mind in the establishment of truth. If there is any pre-requisite which all must see to be indispensable in one who attempts to give laws to the human intellect, it is a thorough acquaintance with the modes by which human intellect has proceeded, in the case where, by universal acknowledgment, grounded on subsequent direct verification, it has succeeded in ascertaining the greatest number of important and recondite truths. This requisite Sir W. Hamilton had not, in any tolerable degree, fulfilled. Even of pure mathematics he apparently knew little but the rudiments. Of mathematics as applied to investigating the laws of physical nature; of the mode in which the properties of number, extension, and figure, are made instrumental to the ascertainment of truths other than arithmetical or geometrical—it is too much to say that he had even a superficial knowledge: there is not a line in his works which shows him to have had any knowledge at all.
In Examination of Sir William Hamilton's Philosophy (1878), 607.
Science quotes on:  |  Accurate (86)  |  Acknowledgment (12)  |  Acquaintance (37)  |  Afford (17)  |  All (4108)  |  Apparently (20)  |  Applied (177)  |  Apply (160)  |  Arithmetical (11)  |  Ascertain (38)  |  Ascertainment (2)  |  Attack (84)  |  Attempt (251)  |  Case (99)  |  Circle (110)  |  Comprehensive (29)  |  Degree (276)  |  Direct (225)  |  Establishment (47)  |  Evidence (248)  |  Express (186)  |  Extension (59)  |  Famous (10)  |  Figure (160)  |  Fulfill (19)  |  Geometrical (10)  |  Give (202)  |  Great (1574)  |  Greatest (328)  |  Ground (217)  |  Hamilton (2)  |  Hamilton_William (2)  |  Human (1468)  |  Human Intellect (31)  |  Human Mind (128)  |  Important (209)  |  Indispensable (28)  |  Instrumental (5)  |  Intellect (233)  |  Investigate (103)  |  Know (1518)  |  Knowledge (1529)  |  Law (894)  |  Line (91)  |  Little (707)  |  Mathematicians and Anecdotes (141)  |  Mathematics (1328)  |  Mind (1338)  |  Most (1731)  |  Must (1526)  |  Nature (1926)  |  Number (699)  |  Other (2236)  |  Physical (508)  |  Prerequisite (9)  |  Proceed (129)  |  Process (423)  |  Property (168)  |  Pure (291)  |  Pure Mathematics (67)  |  Recondite (8)  |  Requisite (11)  |  Rudiment (6)  |  Say (984)  |  See (1081)  |  Show (346)  |  Study (653)  |  Subsequent (33)  |  Succeed (109)  |  Superficial (12)  |  Tendency (99)  |  Thorough (40)  |  Tolerable (2)  |  Truth (1057)  |  Unfitted (3)  |  Universal (189)  |  Verification (31)  |  View (488)  |  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 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.