The Walrus and the Carpenter Were walking close at hand; They wept like anything to see Such quantities of sand: 'If this were only cleared away,' They said,'it would be grand!'
For we may remark generally of our mathematical researches, that these auxiliary quantities, these long and difficult calculations into which we are often drawn, are almost always proofs that we have not in the beginning considered the objects themselves so thoroughly and directly as their nature requires, since all is abridged and simplified, as soon as we place ourselves in a right point of view.
Among the words that can be all things to all men, the word "race" has a fair claim to being the most common, most ambiguous and most explosive. No one today would deny that it is one of the great catchwords about which ink and blood are spilled in reckless quantities. Yet no agreement seems to exist about what race means.jacques barzun
Once plants and animals were raised together on the same farm which therefore neither produced unmanageable surpluses of manure, to be wasted and to pollute the water supply, nor depended on such quantities of commercial fertilizer. The genius of America farm experts is very well demonstrated here: they can take a solution and divide it neatly into two problems.wendell berry
It is almost as hard to define mathematics as it is to define economics, and one is tempted to fall back on the famous old definition attributed to Jacob Viner, “Economics is what economists do,” and say that mathematics is what mathematicians do. A large part of mathematics deals with the formal relations of quantities or numbers.kenneth boulding
Silver is sometimes more valuable than gold, that is, in large quantities.gilbert keith chesterton
Is it really likely that a National Planning Officer would have a better judgement of 'the number of cars, the number of generators, and the quantities of frozen foods we are likely to require in, say, five years,' than Ford or General Motors etc., and, even more important, would it even be desirable that various companies in an industry all act on the same guess?friedrich hayek
The equations at which we arrive must be such that a person of any nation, by substituting the numerical values of the quantities as measured by his own national units, would obtain a true result.james clerk maxwell
Plants, animals, and stars are all kept in place, bridled along appointed ways, with one another, and through the midst of one another killing and being killed, eating and being eaten, in harmonious proportions and quantities.john muir
I do not define time, space, place, and motion, as being well known to all. Only I must observe, that the common people conceive those quantities under no other notions but from the relation they bear to sensible objects. And thence arise certain prejudices, for the removing of which it will be convenient to distinguish them into absolute and relative, true and apparent, mathematical and common.isaac newton
Vast quantities of U.S. bombers, tanks and guns have been sent against Ho Chi Minh and his freedom-fighters; and now we are told that soon it will be 'advisable' to send America GI's into Indo-China in order that the tin, rubber and tungsten of Southeast Asia be kept by the "free world"-meaning white Imperialism .Paul Robeson
No priestly dogmas, invented on purpose to tame and subdue the rebellious reason of mankind, ever shocked common sense more than the doctrine of the infinitive divisibility of extension, with its consequences; as they are pompously displayed by all geometricians and metaphysicians, with a kind of triumph and exultation. A real quantity, infinitely less than any finite quantity, containing quantities infinitely less than itself, and so on in infinitum; this is an edifice so bold and prodigious, that it is too weighty for any pretended demonstration to support, because it shocks the clearest and most natural principles of human reason.David Hume
There is no doubt that we cannot do without variable quantities in the sense of the potential infinite. But from this very fact the necessity of the actual infinite can be demonstrated.
Logic, like whiskey, loses its beneficial effect when taken in too large quantities.
How surprising it is that the laws of nature and the initial conditions of the universe should allow for the existence of beings who could observe it. Life as we know it would be impossible if any one of several physical quantities had slightly different values.
Most of these Mountains and Inland places whereon these kind of Petrify'd Bodies and Shells are found at present, or have been heretofore, were formerly under the Water, and that either by the descending of the Waters to another part of the Earth by the alteration of the Centre of Gravity of the whole bulk, or rather by the Eruption of some kind of Subterraneous Fires or Earthquakes, great quantities of Earth have been deserted by the Water and laid bare and dry.
Love, biochemically no different than consuming large quantities of chocolate.
He gave more elegant rules for the sum of the squares and cubes of an initial segment of the positive integers. The sixth part of the product of three quantities consisting of the number of terms, the number of terms plus one, and twice the number of terms plus one is the sum of the squares. The square of the sum of the series is the sum of the cubes.
Parliament will train you to talk; and above all things to hear, with patience, unlimited quantities of foolish talk.thomas carlyle
On an attentive examination of the methods adopted by modern elementary writers, in laying down the first principles of ratios and proportion, and especially in commenting upon Euclid, I long since experienced a conviction of the extremely unsatisfactory nature of most of their views; and this chiefly, as appearing to me to involve inadequate ideas of Euclid's real principle in treating of proportionals in his 5th book, and of the nature of the quantities which form the subject of investigation.
Thinking is an experimental dealing with small quantities of energy, just as a general moves miniature figures over a map before setting his troops in action.
Bourgeois society is ruled by equivalence. It makes dissimilar things comparable by reducing them to abstract quantities. For the Enlightenment, anything which cannot be resolved into numbers, and ultimately into one, is illusion; modern positivism consigns it to poetry.