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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 T > Category: Tedious

Tedious Quotes (15 quotes)

A great part of its [higher arithmetic] theories derives an additional charm from the peculiarity that important propositions, with the impress of simplicity on them, are often easily discovered by induction, and yet are of so profound a character that we cannot find the demonstrations till after many vain attempts; and even then, when we do succeed, it is often by some tedious and artificial process, while the simple methods may long remain concealed.
Quoted in H. Eves, Mathematical Circles (1977) .
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An author has always great difficulty in avoiding unnecessary and tedious detail on the one hand; while, on the other, he must notice such a number of facts as may convince a student, that he is not wandering in a wilderness of crude hypotheses or unsupported assumptions.
In A Geological Manual (1832), Preface, iii.
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And having thus passed the principles of arithmetic, geometry, astronomy, and geography, with a general compact of physics, they may descend in mathematics to the instrumental science of trigonometry, and from thence to fortification, architecture, engineering, or navigation. And in natural philosophy they may proceed leisurely from the history of meteors, minerals, plants, and living creatures, as far as anatomy. Then also in course might be read to them out of some not tedious writer the institution of physic. … To set forward all these proceedings in nature and mathematics, what hinders but that they may procure, as oft as shall be needful, the helpful experiences of hunters, fowlers, fishermen, shepherds, gardeners, apothecaries; and in other sciences, architects, engineers, mariners, anatomists.
In John Milton and Robert Fletcher (ed.), 'On Education', The Prose Works of John Milton: With an Introductory Review (1834), 100.
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Endowed with two qualities, which seemed incompatible with each other, a volcanic imagination and a pertinacity of intellect which the most tedious numerical calculations could not daunt, Kepler conjectured that the movements of the celestial bodies must be connected together by simple laws, or, to use his own expression, by harmonic laws. These laws he undertook to discover. A thousand fruitless attempts, errors of calculation inseparable from a colossal undertaking, did not prevent him a single instant from advancing resolutely toward the goal of which he imagined he had obtained a glimpse. Twenty-two years were employed by him in this investigation, and still he was not weary of it! What, in reality, are twenty-two years of labor to him who is about to become the legislator of worlds; who shall inscribe his name in ineffaceable characters upon the frontispiece of an immortal code; who shall be able to exclaim in dithyrambic language, and without incurring the reproach of anyone, “The die is cast; I have written my book; it will be read either in the present age or by posterity, it matters not which; it may well await a reader, since God has waited six thousand years for an interpreter of his words.”
In 'Eulogy on Laplace', in Smithsonian Report for the year 1874 (1875), 131-132.
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Equations are Expressions of Arithmetical Computation, and properly have no place in Geometry, except as far as Quantities truly Geometrical (that is, Lines, Surfaces, Solids, and Proportions) may be said to be some equal to others. Multiplications, Divisions, and such sort of Computations, are newly received into Geometry, and that unwarily, and contrary to the first Design of this Science. For whosoever considers the Construction of a Problem by a right Line and a Circle, found out by the first Geometricians, will easily perceive that Geometry was invented that we might expeditiously avoid, by drawing Lines, the Tediousness of Computation. Therefore these two Sciences ought not to be confounded. The Ancients did so industriously distinguish them from one another, that they never introduced Arithmetical Terms into Geometry. And the Moderns, by confounding both, have lost the Simplicity in which all the Elegance of Geometry consists. Wherefore that is Arithmetically more simple which is determined by the more simple Equation, but that is Geometrically more simple which is determined by the more simple drawing of Lines; and in Geometry, that ought to be reckoned best which is geometrically most simple.
In 'On the Linear Construction of Equations', Universal Arithmetic (1769), Vol. 2, 470.
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For many doctors the achievement of a published article is a tedious duty to be surmounted as a necessary hurdle in a medical career.
British Medical Journal (1958), 2, 502
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If and when all the laws governing physical phenomena are finally discovered, and all the empirical constants occurring in these laws are finally expressed through the four independent basic constants, we will be able to say that physical science has reached its end, that no excitement is left in further explorations, and that all that remains to a physicist is either tedious work on minor details or the self-educational study and adoration of the magnificence of the completed system. At that stage physical science will enter from the epoch of Columbus and Magellan into the epoch of the National Geographic Magazine!
'Any Physics Tomorrow', Physics Today, January 1949, 2, 17.
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Keep in mind that new ideas are commonplace, and almost always wrong. Most flashes of insight lead nowhere; statistically, they have a half-life of hours or maybe days. Most experiments to follow up the surviving insights are tedious and consume large amounts of time, only to yield negative or (worse!) ambiguous results.
In Consilience: The Unity of Knowledge (1998, 1999), 60
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No study is less alluring or more dry and tedious than statistics, unless the mind and imagination are set to work, or that the person studying is particularly interested in the subject; which last can seldom be the case with young men in any rank of life.
In The Statistical Breviary: Shewing, on a Principle Entirely New, the Resources of Every State and Kingdom in Europe (1801), 16.
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Over the past fifty years or so, scientists have allowed the conventions of expression available to them to become entirely too confining. too confining. The insistence on bland impersonality and the widespread indifference to anything like the display of a unique human author in scientific exposition, have transformed the reading of most scientific papers into an act of tedious drudgery.
In Boojums All the Way Through: Communicating Science in a Prosaic Age (1990), Preface, xi-xii.
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Seeing there is nothing that is so troublesome to mathematical practice … than the multiplications, divisions, square and cubical extractions of great numbers, which besides the tedious expense of time are … subject to many slippery errors, I began therefore to consider [how] I might remove those hindrances.
From Mirifici Logarithmorum Canonis Descriptio (1614), as translated by William Rae Macdonald in A Description of the Wonderful Canon of Logarithms (1889),
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Tedious as it may appear to some to dwell on the discovery of odds and ends that have, no doubt, been thrown away by the owner as rubbish ... yet it is by the study of such trivial details that Archaeology is mainly dependent for determining the date of earthworks. ... Next to coins fragments of pottery afford the most reliable of all evidence ... In my judgement, a fragment of pottery, if it throws light on the history of our own country and people, is of more interest to the scientific collector of evidence in England, than even a work of art and merit that is associated only with races that we are remotely connected with.
On the importance of pottery to an archaeologist.
Excavations in Bokerly and Wansdyke, vol. 3, ix-30. Quoted in Cambridge Antiquarian Society, Proceedings (1895), vol. 8, 180.
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The greater part of it, I shall show, is nonsense, tricked out with a variety of tedious metaphysical conceits, and its author can be excused of dishonesty only on the grounds that before deceiving others he has taken great pains to deceive himself. … it is the style that creates the illusion of content, and which is a cause as well as merely a symptom of Teilhard's alarming apocalyptic seizures.
Medawar’s acerbic book review of The Phenomenon of Man by Teilhard de Chardin first appeared as 'Critical Notice' in the journal Mind (1961), 70, No. 277, 99. The book review was reprinted in The Art of the Soluble: Creativity and Originality in Science (1967), 71. Medawar thus strongly contradicted other reviewers of the book, which he said was “widely held to be of the utmost profundity and significance; it created something like a sensation upon its publication in France, and some reviewers hereabouts called it the Book of the Year—one, the Book of the Century.”
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There is no form of prose more difficult to understand and more tedious to read than the average scientific paper.
The Astonishing Hypothesis: The Scientific Search for the Soul (1995), xiii.
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What makes philosophy so tedious is not the profundity of philosophers, but their lack of art; they are like physicians who sought to cure a slight hyperacidity by prescribing a carload of burned oyster-shells.
In A Mencken Chrestomathy (1949, 1956), 617.
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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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