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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 F > Category: Flow

Flow Quotes (31 quotes)

The Mighty Task is Done

At last the mighty task is done;
Resplendent in the western sun
The Bridge looms mountain high;
Its titan piers grip ocean floor,
Its great steel arms link shore with shore,
Its towers pierce the sky.

On its broad decks in rightful pride,
The world in swift parade shall ride,
Throughout all time to be;
Beneath, fleet ships from every port,
Vast landlocked bay, historic fort,
And dwarfing all the sea.

To north, the Redwood Empires gates;
To south, a happy playground waits,
In Rapturous appeal;
Here nature, free since time began,
Yields to the restless moods of man,
Accepts his bonds of steel.

Launched midst a thousand hopes and fears,
Damned by a thousand hostile sneers,
Yet Neer its course was stayed,
But ask of those who met the foe
Who stood alone when faith was low,
Ask them the price they paid.

Ask of the steel, each strut and wire,
Ask of the searching, purging fire,
That marked their natal hour;
Ask of the mind, the hand, the heart,
Ask of each single, stalwart part,
What gave it force and power.

An Honored cause and nobly fought
And that which they so bravely wrought,
Now glorifies their deed,
No selfish urge shall stain its life,
Nor envy, greed, intrigue, nor strife,
Nor false, ignoble creed.

High overhead its lights shall gleam,
Far, far below lifes restless stream,
Unceasingly shall flow;
For this was spun its lithe fine form,
To fear not war, nor time, nor storm,
For Fate had meant it so.

Written upon completion of the building of the Golden Gate Bridge, May 1937. In Allen Brown, Golden Gate: biography of a Bridge (1965), 229.
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Absolute, true, and mathematical time, in and of itself and of its own nature, without reference to anything external, flows uniformly and by another name is called duration. Relative, apparent, and common time is any sensible and external measure (precise or imprecise) of duration by means of motion; such as a measure—for example, an hour, a day, a month, a year—is commonly used instead of true time.
The Principia: Mathematical Principles of Natural Philosophy (1687), 3rd edition (1726), trans. I. Bernard Cohen and Anne Whitman (1999), Definitions, Scholium, 408.
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An example of such emergent phenomena is the origin of life from non-living chemical compounds in the oldest, lifeless oceans of the earth. Here, aided by the radiation energy received from the sun, countless chemical materials were synthesized and accumulated in such a way that they constituted, as it were, a primeval “soup.” In this primeval soup, by infinite variations of lifeless growth and decay of substances during some billions of years, the way of life was ultimately reached, with its metabolism characterized by selective assimilation and dissimilation as end stations of a sluiced and canalized flow of free chemical energy.
In 'The Scientific Character of Geology', The Journal of Geology (Jul 1961), 69, No. 4, 458.
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As soon as we touch the complex processes that go on in a living thing, be it plant or animal, we are at once forced to use the methods of this science [chemistry]. No longer will the microscope, the kymograph, the scalpel avail for the complete solution of the problem. For the further analysis of these phenomena which are in flux and flow, the investigator must associate himself with those who have labored in fields where molecules and atoms, rather than multicellular tissues or even unicellular organisms, are the units of study.
'Experimental and Chemical Studies of the Blood with an Appeal for More Extended Chemical Training for the Biological and Medical Investigator', Science (6 Aug 1915), 42, 176.
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Do not struggle. Go with the flow of things, and you will find yourself at one with the mysterious unity of the Universe.
Zhuangzi
Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 184
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Every river appears to consist of a main trunk, fed from a variety of branches, each running in a valley proportional to its size, and all of them together forming a system of vallies, communicating with one another, and having such a nice adjustment of their declivities that none of them join the principal valley on too high or too low a level; a circumstance which would be infinitely improbable if each of these vallies were not the work of the stream that flows in it.
Illustrations of the Huttonian Theory of the Earth (1802), 102.
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Finite systems of deterministic ordinary nonlinear differential equations may be designed to represent forced dissipative hydrodynamic flow. Solutions of these equations can be identified with trajectories in phase space. For those systems with bounded solutions, it is found that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states. Systems with bounded solutions are shown to possess bounded numerical solutions.
A simple system representing cellular convection is solved numerically. All of the solutions are found to be unstable, and almost all of them are nonperiodic.
The feasibility of very-long-range weather prediction is examined in the light of these results
Abstract from his landmark paper introducing Chaos Theory in relation to weather prediction, 'Deterministic Nonperiodic Flow', Journal of the Atmospheric Science (Mar 1963), 20, 130.
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From this fountain (the free will of God) it is those laws, which we call the laws of nature, have flowed, in which there appear many traces of the most wise contrivance, but not the least shadow of necessity. These therefore we must not seek from uncertain conjectures, but learn them from observations and experimental. He who is presumptuous enough to think that he can find the true principles of physics and the laws of natural things by the force alone of his own mind, and the internal light of his reason, must either suppose the world exists by necessity, and by the same necessity follows the law proposed; or if the order of Nature was established by the will of God, the [man] himself, a miserable reptile, can tell what was fittest to be done.
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I chatter over stony ways,
In little sharps and trebles,
I bubble into eddying bays,
I babble on the pebbles.…
And out again I curve and flow
To join the brimming river;
For men may come and men may go,
But I go on forever.
From 'Song of the Brook' (1842), collected in The Poetical Works of Alfred Tennyson (1873), 142.
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I've known rivers:
I've known rivers ancient as the world and older than the flow of human blood in human veins.
My soul has grown deep like the rivers.
The Negro Speaks of Rivers (1926).
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Mathematics associates new mental images with ... physical abstractions; these images are almost tangible to the trained mind but are far removed from those that are given directly by life and physical experience. For example, a mathematician represents the motion of planets of the solar system by a flow line of an incompressible fluid in a 54-dimensional phase space, whose volume is given by the Liouville measure
Mathematics and Physics (1981), Foreward. Reprinted in Mathematics as Metaphor: Selected Essays of Yuri I. Manin (2007), 90.
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Most manufacturers take resources out of the ground and convert them to products that are designed to be thrown away or incinerated within months. We call these “cradle to grave” product flows. Our answer to that is “cradle to cradle” design. Everything is reused—either returned to the soil as nontoxic “biological nutrients” that will biodegrade safely, or returned to industry as “technical nutrients” that can be infinitely recycled.
In interview article, 'Designing For The Future', Newsweek (15 May 2005).
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Nernst was a great admirer of Shakespeare, and it is said that in a conference concerned with naming units after appropriate persons, he proposed that the unit of rate of liquid flow should be called the falstaff.
'The Nemst Memorial Lecture', Journal of the Chemical Society (1953), Part 3, 2855.
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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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Relatively few benefits have flowed to the people who live closest to the more than 3,000 protected areas that have been established in tropical countries during the past 50 years. For this reason, the preservation of biodiversity is often thought of as something that poor people are asked to do to fulfill the wishes of rich people living in comfort thousands of miles away.
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Science can be thought of as a large pool of knowledge, fed by a steady flow from the tap of basic research. Every now and then the water is dipped out and put to use, but one never knows which part of the water will be needed. This confuses the funding situation for basic science, because usually no specific piece of scientific work can be justified in advance; one cannot know which is going to be decisive. Yet history shows that keeping water flowing into the pool is a very worthwhile enterprise.
In 'Technology Development', Science (1983), 220, 576-580. As quoted and cited in H. Charles Romesburg, Best Research Practices (2009), 213.
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The 'stream' we call science always flows forward; sometimes reactionary beavers block its flow, but the stream is never defeated by this; it accumulates, gathers strength; its waters get over the barrage and continue on their course. The advancement of science is the advancement of God, for science is nothing but human intelligence, and human intelligence is the most valuable treasure God has bequeathed us.
From the play Galileo Galilei (2001) .
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The handling of our forests as a continuous, renewable resource means permanent employment and stability to our country life. The forests are also needed for mitigating extreme climatic fluctuations, holding the soil on the slopes, retaining the moisture in the ground, and controlling the equable flow of water in our streams.
From 'A Presidential Statement on Receipt of the Award of the Schlich Forestry Medal' (29 Jan 1935) in Public Papers of the Presidents of the United States: F.D. Roosevelt, 1935, Volume 4 (1938), 65. Roosevelt was awarded the medal by the Society of American Foresters. This quote continues with the line “The forests are the ‘lungs’ of our land….”
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The prevailing trend in modern physics is thus much against any sort of view giving primacy to ... undivided wholeness of flowing movement. Indeed, those aspects of relativity theory and quantum theory which do suggest the need for such a view tend to be de-emphasized and in fact hardly noticed by most physicists, because they are regarded largely as features of the mathematical calculus and not as indications of the real nature of things.
Wholeness and the Implicate Order? (1981), 14.
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The sea is not all that responds to the moon. Twice a day the solid earth bobs up and down, as much as a foot. That kind of force and that kind of distance are more than enough to break hard rock. Wells will flow faster during lunar high tides.
Annals of the Former World
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The stream of thought flows on but most of its segments fall into the bottomless abyss of oblivion. Of some, no memory survives the instant of their passage. Of others, it is confined to a few moments, hours or days. Others, again, leave vestiges which are indestructible, and by means of which they may be recalled as long as life endures.
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The surest way to health, say what they will,
Is never to suppose we shall be ill;
Most of the ills which we poor mortals know
From doctors and imagination flow.
In 'Night: An Epistle to Robert Lloyd', Poems of Charles Churchill (1822), Vol. 1, 98.
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The traditional boundaries between various fields of science are rapidly disappearing and what is more important science does not know any national borders. The scientists of the world are forming an invisible network with a very free flow of scientific information - a freedom accepted by the countries of the world irrespective of political systems or religions. ... Great care must be taken that the scientific network is utilized only for scientific purposes - if it gets involved in political questions it loses its special status and utility as a nonpolitical force for development.
Banquet speech accepting Nobel Prize in Physiology or Medicine (10 Dec 1982). In Wilhelm Odelberg (editor) Les Prix Nobel. The Nobel Prizes 1982 (1983)
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There is a river in the ocean. In the severest droughts it never fails, and in the mightiest floods it never overflows. Its banks and its bottom are of cold water, while its current is of warm. The Gulf of Mexico is its fountain, and its mouth is in the Arctic Seas. It is the Gulf Stream. There is in the world no other such majestic flow of waters. Its current is more rapid than the Mississippi or the Amazon.
In The Physical Geography of the Sea and Its Meteorology (1855), 25.
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There is only one law of Nature—the second law of thermodynamics—which recognises a distinction between past and future more profound than the difference of plus and minus. It stands aloof from all the rest. … It opens up a new province of knowledge, namely, the study of organisation; and it is in connection with organisation that a direction of time-flow and a distinction between doing and undoing appears for the first time.
In The Nature of the Physical World (1928, 2005), 67-68.
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There rolls the deep where grew the tree.
O earth, what changes hast thou seen!
There where the long street roars, hath been
The stillness of the central sea.
The hills are shadows, and they flow
From form to form, and nothing stands;
They melt like mist, the solid lands,
Like clouds they shape themselves and go.
In Memoriam A. H. H. (1850), canto 123. Collected in Alfred Tennyson and William James Rolfe (ed.) The Poetic and Dramatic works of Alfred, Lord Tennyson (1898), 194.
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Thou canst not make water flow uphill but by expenditure of greater force than draws it down. The spirit of fire can do this,—converting it to steam. Spiritualise water, and it ascends in spite of itself.
In Sir William Withey Gull and Theodore Dyke Acland (ed.), A Collection of the Published Writings of William Withey Gull (1896), lxv.
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Voice is a flowing breath of air, perceptible to the hearing by contact. It moves in an endless number of circular rounds, like the innumerably increasing circular waves which appear when a stone is thrown into smooth water, and which keep on spreading indefinitely from the centre.
Vitruvius
In De Architectura, Book 5, Chap 1, Sec. 6. As translated in Morris Hicky Morgan (trans.), Vitruvius: The Ten Books on Architecture (1914), 138.
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When the 1880s began. Maxwell’s theory was virtually a trackless jungle. By the second half of the decade, guided by the principle of energy flow. Poynting, FitzGerald, and above all Heaviside had succeeded in taming and pruning that jungle and in rendering it almost civilized.
In The Maxwellians (2008), 128.
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[Reporting after the now infamous 22 Jun 1969 burning of the Cuyahoga River:] Some River! Chocolate-brown, oily, bubbling with subsurface gases, it oozes rather than flows. “Anyone who falls into the Cuyahoga does not drown,” Cleveland's citizens joke grimly. “He decays”... The Federal Water Pollution Control Administration dryly notes: “The lower Cuyahoga has no visible signs of life, not even low forms such as leeches and sludge worms that usually thrive on wastes.” It is also—literally—-a fire hazard.
Magazine
As reported in Time magazine (1 Aug 1969).
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[The Niagara Falls] would be more impressive if it flowed the other way.
Quoted in 'Professors, Politics, and Palaver', Science (19 Aug 1977), 197, 742.
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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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Bible
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- 70 -
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- 60 -
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- 50 -
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- 40 -
Pierre Fermat
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- 30 -
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- 20 -
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- 10 -
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