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Relation Quotes

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Relation Quotes

“The Analytical Engine might act upon other things besides number, were objects found whose mutual fundamental relations could be expressed by those of the abstract science of operations, and which should be also susceptible of adaptations to the action of the operating notation and mechanism of the engine… Supposing, for instance, that the fundamental relations of pitched sounds in the science of harmony and of musical composition were susceptible of such expression and adaptations, the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent.”

“While a great many other ideas and measures are of prime importance for the good life of the community, that which concerns its architectural expression is the notion of the community as limited in numbers, and in area... To express these relations clearly, to embody them in buildings and roads and gardens in which each individual structure will be subordinated to the whole - this is the end of community planning.”

“England was nothing, compared to continental nations until she had become commercial... until about the middle of the last century, when a number of ingenious and inventive men, without apparent relation to each other, arose in various parts of the kingdom, succeeded in giving an immense impulse to all the branches of the national industry; the result of which has been a harvest of wealth and prosperity, perhaps without a parallel in the history of the world.”

“Does it seem to you impossible to imagine anything more inextricable than the social contract, when you think of the frightful number of relations that it must regulate -- something like squaring the circle, or finding perpetual motion? That is the reason why, wearied of the struggle, you fall back on absolutism and force.”

“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.”

“What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else. Roughly speaking, people know that it deals with numbers, figures, with relations, operations, and that its formal procedures involving axioms, proofs, lemmas, theorems have not changed since the time of Archimedes.”

“A good rule of thumb is as follows: If the numbers come from somebody wearing a tie (Wall Street economist or analyst, industry public relations department, captive think tank academic and so on), you ought to be very skeptical. By design messages from these people are intended to move markets, move merchandise and/or move public policy and are not a comment on the state of the physical universe.”

“Let's not forget that for thousands of years the institution of marriage has been between a man and a woman. Until quite recently, in a limited number of countries, there has been no such thing as a marriage between persons of the same gender. Suddenly we are faced with the claim that thousands of years of human experience should be set aside because we should not discriminate in relation to the institution of marriage. When that claim is made, the burden of proving that this step will not undo the wisdom and stability of millennia of experience lies on those who would make the change.”

“If you wish to alter or annihilate a pyramid of numbers in a serial relation, you alter or remove the bottom number. If we wish to annihilate the junk pyramid, we must start with the bottom of the pyramid: the Addict in the Street, and stop tilting quixotically for the "higher ups" so called, all of whom are immediately replaceable. The addict in the street who must have junk to live is the one irreplaceable factor in the junk equation. When there are no more addicts to buy junk there will be no junk traffic. As long as junk need exists, someone will service it.”

“For example, there are numbers of chemists who occupy themselves exclusively with the study of dyestuffs. They discover facts that are useful to scientific chemistry; but they do not rank as genuine scientific men. The genuine scientific chemist cares just as much to learn about erbium-the extreme rarity of which renders it commercially unimportant-as he does about iron. He is more eager to learn about erbium if the knowledge of it would do more to complete his conception of the Periodic Law, which expresses the mutual relations of the elements.”

“While, on the one hand, the end of scientific investigation is the discovery of laws, on the other, science will have reached its highest goal when it shall have reduced ultimate laws to one or two, the necessity of which lies outside the sphere of our cognition. These ultimate laws-in the domain of physical science at least-will be the dynamical laws of the relations of matter to number, space, and time. The ultimate data will be number, matter, space, and time themselves. When these relations shall be known, all physical phenomena will be a branch of pure mathematics.”

“Nobody before the Pythagorean had thought that mathematical relations held the secret of the universe. Twenty-five centuries later, Europe is still blessed and cursed with their heritage. To non-European civilizations, the idea that numbers are the key to both wisdom and power, seems never to have occurred.”

“I see no reason why Indians who can give satisfactory proof of having by their own labor supported their families for a number of years, and who are willing to detach themselves from their tribal relations, should not be admitted to the benefit of the homestead act and the privileges of citizenship, and I recommend the passage of a law to that effect. It will be an act of justice as well as a measure of encouragement.”