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Who said: “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”
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Home > Category Index for Science Quotations > Category Index A > Category: Abundance

Abundance Quotes (26 quotes)

[The] complex pattern of the misallocation of credit for scientific work must quite evidently be described as “the Matthew effect,” for, as will be remembered, the Gospel According to St. Matthew puts it this way: For unto every one that hath shall be given, and he shall have abundance: but from him that hath not shall be taken away even that which he hath. Put in less stately language, the Matthew effect consists of the accruing of greater increments of recognition for particular scientific contributions to scientists of considerable repute and the withholding of such recognition from scientists who have not yet made their mark.
'The Matthew Effect in Science', Science (1968), 159, 58.
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Aluminum has … a kind of “glamor” associated with it, due to two facts, the first being that it is really useful, durable and beautiful, combined with the other fact, which has little to do with its commercial importance, that its ores are more abundant than of any other metal and constitute a large portion of the earth’s crust.
In article by Chas. M. Hall, 'The Properties of Aluminum', Western Electrician (30 May 1891), 8, No. 22, 312.
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Ammonia is furnished from all animal substances by decomposition. The horns of cattle, especially those of deer, yield it in abundance, and it is from this circumstance that a solution of ammonia in water has been termed hartshorn.
From 'Artist and Mechanic', The artist & Tradesman’s Guide: embracing some leading facts & principles of science, and a variety of matter adapted to the wants of the artist, mechanic, manufacturer, and mercantile community (1827), 14.
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And do you know what “the world” is to me? Shall I show it to you in my mirror? This world: a monster of energy, without beginning, without end; a firm, iron magnitude of force that does not grow bigger or smaller, that does not expend itself but only transforms itself; as a whole, of unalterable size, a household without expenses or losses, but likewise without increase or income; enclosed by “nothingness”' as by a boundary; not by something blurry or wasted, not something endlessly extended, but set in a definite space as a definite force, and not a space that might be “empty” here or there, but rather as force throughout, as a play of forces and waves of forces, at the same time one and many, increasing here and at the same time decreasing there; a sea of forces flowing and rushing together, eternally changing, eternally flooding back, with tremendous years of recurrence, with an ebb and a flood of its forms; out of the simplest forms striving toward the most complex, out of the stillest, most rigid, coldest forms toward the hottest, most turbulent, most self-contradictory, and then again returning home to the simple out of this abundance, out of the play of contradictions back to the joy of concord, still affirming itself in this uniformity of its courses and its years, blessing itself as that which must return eternally, as a becoming that knows no satiety, no disgust, no weariness: this, my Dionysian world of the eternally self-creating, the eternally self-destroying, this mystery world of the twofold voluptuous delight, my “beyond good and evil,” without goal, unless the joy of the circle itself is a goal; without will, unless a ring feels good will toward itself-do you want a name for this world? A solution for all its riddles? A light for you, too, you best-concealed, strongest, most intrepid, most midnightly men?—This world is the will to power—and nothing besides! And you yourselves are also this will to power—and nothing besides!
The Will to Power (Notes written 1883-1888), book 4, no. 1067. Trans. W. Kaufmann and R. J. Hollingdale and ed. W. Kaufmann (1968), 549-50.
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As long as a branch of science offers an abundance of problems, so long it is alive; a lack of problems foreshadows extinction or the cessation of independent development.
In 'Mathematical Problems', Bulletin American Mathematical Society, 8, 438.
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But I think that in the repeated and almost entire changes of organic types in the successive formations of the earth—in the absence of mammalia in the older, and their very rare appearance (and then in forms entirely. unknown to us) in the newer secondary groups—in the diffusion of warm-blooded quadrupeds (frequently of unknown genera) through the older tertiary systems—in their great abundance (and frequently of known genera) in the upper portions of the same series—and, lastly, in the recent appearance of man on the surface of the earth (now universally admitted—in one word, from all these facts combined, we have a series of proofs the most emphatic and convincing,—that the existing order of nature is not the last of an uninterrupted succession of mere physical events derived from laws now in daily operation: but on the contrary, that the approach to the present system of things has been gradual, and that there has been a progressive development of organic structure subservient to the purposes of life.
'Address to the Geological Society, delivered on the Evening of the 18th of February 1831', Proceedings of the Geological Society (1834), 1, 305-6.
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But the Presidence of that mighty Power … its particular Agency and Concern therein: and its Purpose and Design … will more evidently appear, when I shall have proved … That the said Earth, though not indifferently and alike fertil in all parts of it, was yet generally much more fertil than ours is … That its Soil was more luxuriant, and teemed forth its Productions in far greater plenty and abundance than the present Earth does … That when Man was fallen, and had abandoned his primitive Innocence, the Case was much altered: and a far different Scene of Things presented; that generous Vertue, masculine Bravery, and prudent Circumspection which he was before Master of, now deserting him … and a strange imbecility immediately seized and laid hold of him: he became pusillanimous, and was easily ruffled with every little Passion within: supine, and as openly exposed to any Temptation or Assault from without. And now these exuberant Productions of the Earth became a continued Decoy and Snare unto him.
In An Essay Toward A Natural History of the Earth (1695), 84-86.
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Evolution ... is really two theories, the vague theory and the precise theory. The vague theory has been abundantly proved.... The precise theory has never been proved at all. However, like relativity, it is accepted on faith.... On getting down to actual details, difficulties begin.
In Science is a Sacred Cow (1950), 101 & 103.
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Human societies increased the abundance and distribution of useful species. This can also be used to preserve the forest, I think. We can use this as an opportunity to reduce the impacts of deforestation. Now we have huge plantations of soybeans that are destroying the Amazon—while in the forest we have lots of plants that can be used while maintaining the forest as it is.
As quoted in Robinson Meyer, 'The Amazon Rainforest Was Profoundly Changed by Ancient Humans', The Atlantic (2 Mar 2017).
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I have patiently born with abundance of Clamour and Ralary [raillery], for beginning a new Practice here (for the Good of the Publick) which comes well Recommended, from Gentlemen of Figure & Learning, and which well agrees to Reason, when try’d & duly considered, viz. Artificially giving the Small Pocks, by Inoculation, to One of my Children, and Two of my Slaves, in order to prevent the hazard of Life… . and they never took one grain or drop of Medicine since, & are perfectly well.
By “clamour” he is referring to the public commotion in Boston reacting to his introduction of smallpox inoculation. Public statement in the Gazette (Jul 10-17), No. 85, 1721. As quoted and cited in Reginald H. Fitz, 'Zabdiel Boylston, Inoculator, and the Epidemic of Smallpox in Boston in 1721', Bulletin of the Johns Hopkins Hospital (1911), 22, 319.
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If a plant grows in abundance, it is a plant of virtue.
Old Gypsy proverb.
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If the Easter pilgrims in Piazza San Pietro were to represent the carriers in a metal, then an insulator would resemble the Antarctic with one solitary traveller. In the abundance of carriers there is an enormous gap between conductors and insulators.
Speech, presenting the 1956 Nobel Prize in Physics to William Shockley, John Bardeen and Walter Houser Brattain. In Nobel Lectures: Physics 1942-1962 (1964), 315-6.
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If we survey the mathematical works of Sylvester, we recognize indeed a considerable abundance, but in contradistinction to Cayley—not a versatility toward separate fields, but, with few exceptions—a confinement to arithmetic-algebraic branches. …
The concept of Function of a continuous variable, the fundamental concept of modern mathematics, plays no role, is indeed scarcely mentioned in the entire work of Sylvester—Sylvester was combinatorist [combinatoriker].
In Mathematische Annalen (1898), Bd.50, 134-135. As quoted and cited in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 173.
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In cold countries the aqueous particles of the blood is exhaled slightly by perspiration; it remains in great abundance. One can therefore make use of spirituous liquors without the blood coagulating. It is full of humours. Strong liquors, which give movement to the blood, may be suitable there.
From De l’Esprit, xiv., Chap 10. In Craufurd Tait Ramage (ed.), Beautiful Thoughts from French and Italian Authors (1866), 210.
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In my opinion the English excel in the art of writing text-books for mathematical teaching; as regards the clear exposition of theories and the abundance of excellent examples, carefully selected, very few books exist in other countries which can compete with those of Salmon and many other distinguished English authors that could be named.
In Projective Geometry (1886), Preface.
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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.
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One is constantly reminded of the infinite lavishness and fertility of Nature—inexhaustible abundance amid what seems enormous waste. And yet when we look into any of her operations that lie within reach of our minds, we learn that no particle of her material is wasted or worn out. It is eternally flowing from use to use, beauty to yet higher beauty; and we soon cease to lament waste and death, and rather rejoice and exult in the imperishable, unspendable wealth of the universe.
John Muir
In My First Summer in the Sierra (1911), 325. Based on Muir's original journals and sketches of his 1869 stay in the Sierra.
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The indescribable pleasure—which pales the rest of life's joys—is abundant compensation for the investigator who endures the painful and persevering analytical work that precedes the appearance of the new truth, like the pain of childbirth. It is true to say that nothing for the scientific scholar is comparable to the things that he has discovered. Indeed, it would be difficult to find an investigator willing to exchange the paternity of a scientific conquest for all the gold on earth. And if there are some who look to science as a way of acquiring gold instead of applause from the learned, and the personal satisfaction associated with the very act of discovery, they have chosen the wrong profession.
From Reglas y Consejos sobre Investigacíon Cientifica: Los tónicos de la voluntad. (1897), as translated by Neely and Larry W. Swanson, in Advice for a Young Investigator (1999), 50.
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The theory here developed is that mega-evolution normally occurs among small populations that become preadaptive and evolve continuously (without saltation, but at exceptionally rapid rates) to radically different ecological positions. The typical pattern involved is probably this: A large population is fragmented into numerous small isolated lines of descent. Within these, inadaptive differentiation and random fixation of mutations occur. Among many such inadaptive lines one or a few are preadaptive, i.e., some of their characters tend to fit them for available ecological stations quite different from those occupied by their immediate ancestors. Such groups are subjected to strong selection pressure and evolve rapidly in the further direction of adaptation to the new status. The very few lines that successfully achieve this perfected adaptation then become abundant and expand widely, at the same time becoming differentiated and specialized on lower levels within the broad new ecological zone.
Tempo and Mode in Evolution (1944), 123.
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The trees have not only been regarded by man as his lawful plunder, but he has even seemed to find a positive pleasure in their destruction. He … has been reckless of the future. The supply has seemed to be abundant, and the future has been left to take care of itself.
'What We Owe to the Trees', Harper's New Monthly Magazine (Apr 1882), 46, No. 383, 675.
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There are three reasons why, quite apart from scientific considerations, mankind needs to travel in space. The first reason is garbage disposal; we need to transfer industrial processes into space so that the earth may remain a green and pleasant place for our grandchildren to live in. The second reason is to escape material impoverishment; the resources of this planet are finite, and we shall not forgo forever the abundance of solar energy and minerals and living space that are spread out all around us. The third reason is our spiritual need for an open frontier. The ultimate purpose of space travel is to bring to humanity, not only scientific discoveries and an occasional spectacular show on television, but a real expansion of our spirit.
In Disturbing the Universe (1979).
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There’s probably 5000 times more solar energy than the humans will ever need. We could cover our highways with solar collectors to make ribbons of energy, and I think that it’s really the largest job creation program in the history of the planet that’s in front of us. It’s a celebration of the abundance of human creativity combined with the abundance of the natural world.
In audio segment, 'William McDonough: Godfather of Green', WNYC, Studio 360 broadcast on NPR radio (18 Mar 2008) and archived on the station website.
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To Archimedes once came a youth intent upon knowledge.
Said he “Initiate me into the Science divine,
Which to our country has borne glorious fruits in abundance,
And which the walls of the town ’gainst the Sambuca protects.”
“Callst thou the science divine? It is so,” the wise man responded;
“But so it was, my son, ere the state by her service was blest.
Would’st thou have fruit of her only? Mortals with that can provide thee,
He who the goddess would woo, seek not the woman in her.”
Poem, 'Archimedes und der Schuler', collected in Gedichte von Friedrich Schiller (1807), Vol. 1, 149. English version 'Archimedes and the Student', in Edgar A. Bowring (trans.), The Poems of Schiller (1875), 262-263. From the original German: Zu Archimedes kam einst ein wissbegieriger Jüngling. / “Weihe mich,” sprach er zu ihm, “ein in die gottliche Kunst, / Die so herrliche Frucht dem Vaterlande getragen, / Und die Mauern der Stadt vor der Sambuca beschützt!” / “Gottlieb nennst du die Kunst? Sie ists,” versetzte der Weise; / “Aber das war sie, mein Sohn, eh sie dem Staat noch gedient. / Willst du nur Früchte von ihr, die kann auch die Sterbliche zeugen; / Wer um die Göttin freit, suche in ihr nicht das Weib.” [Note: “Sambuca” is the name of a machine used in sieges, employed by Marcellus against Syracuse.]
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To Descartes, the great philosopher of the 17th century, is due the undying credit of having removed the bann which until then rested upon geometry. The analytical geometry, as Descartes’ method was called, soon led to an abundance of new theorems and principles, which far transcended everything that ever could have been reached upon the path pursued by the ancients.
In Die Entwickelung der Mathematik in den letzten Jahrhunderten (1884), 10.
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To produce any given motion, to spin a certain weight of cotton, or weave any quantity of linen, there is required steam; to produce the steam, fuel; and thus the price of fuel regulates effectively the cost of mechanical power. Abundance and cheapness of fuel are hence main ingredients in industrial success. It is for this reason that in England the active manufacturing districts mark, almost with geological accuracy, the limits of the coal fields.
In The Industrial Resources of Ireland (1844), 2.
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We have before us the restoration of that ancient land whose name was a synonym for abundance, prosperity, and grandeur for many generations. Records as old as those of Egypt and as well attested tell of fertile lands and teeming populations, mighty kings and warriors, sages and wise men, over periods of thousands of years. ... A land such as this is worth resuscitating. Once we have apprehended the true cause of its present desolate and abandoned condition, we are on our way to restoring it to its ancient fertility. A land which so readily responded to ancient science, and gave a return which sufficed for the maintenance of a Persian Court in all its splendor, will surely respond to the efforts of modern science and return manifold the money and talent spent on its regeneration.
From The Restoration of the Ancient Irrigation Works on the Tigris: or, The Re-creation of Chaldea (1903), 30.
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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- 90 -
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- 80 -
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- 70 -
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- 60 -
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- 50 -
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- 40 -
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- 30 -
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- 20 -
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- 10 -
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