Multiplication Quotes 

Taking courage and looking forward from the standpoint of higher ideas born of the multiplication of the arts, they gave up huts and began to build houses with foundations, having brick or stone walls, and roofs of timber and tiles; next, observation and application led them from fluctuating and indefinite conceptions to definite rules of symmetry. Perceiving that nature had been lavish in the bestowal of timber and bountiful in stores of building material, they... embellished them with luxuries.
Vitruvius
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More Multiplication Quotes 

Taking courage and looking forward from the standpoint of higher ideas born of the multiplication of the arts, they gave up huts and began to build houses with foundations, having brick or stone walls, and roofs of timber and tiles; next, observation and application led them from fluctuating and indefinite conceptions to definite rules of symmetry. Perceiving that nature had been lavish in the bestowal of timber and bountiful in stores of building material, they... embellished them with luxuries.


— Chapter I, Sec. 7 (Book II)

Tags: Taking, courage, looking, forward, standpoint, higher, ideas, born, arts

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It cannot but happen?that those will survive whose functions happen to be most nearly in equilibrium with the modified aggregate of external forces? This survival of the fittest implies multiplication of the fittest.

Herbert Spencer

— 1865  Principles of Biology, pt.3, ch.12, sect.164.

Tags: survive, functions, most, nearly, equilibrium, modified, aggregate, external, forces

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The most effectual encouragement to population is, the activity of industry, and the consequent multiplication of the national products.

thomas malthus

— Jean-Baptiste Say, A Treatise On Political Economy (Fourth Edition), Book II, Chapter XI, Section I, p. 375

Tags: most, effectual, encouragement, population, activity, industry, consequent, national, products

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It cannot but happen that those individuals whose functions are most out of equilibrium with the modified aggregate of external forces, will be those to die; and that those will survive whose functions happen to be most nearly in equilibrium with the modified aggregate of external forces.But this survival of the fittest, implies multiplication of the fittest. Out of the fittest thus multiplied, there will, as before, be an overthrowing of the moving equilibrium wherever it presents the least opposing force to the new incident force.

Herbert Spencer

— The Principles of Biology, Vol. I (1864), Part III: The Evolution of Life, Ch. 7: Indirect Equilibration

Tags: individuals, functions, most, equilibrium, modified, aggregate, external, forces, die

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With a higher moral nature will come a restriction on the multiplication of the inferior.

Herbert Spencer

— The Principles of Biology, Vol. II (1867), Part VI: Laws of Multiplication, ch. 8: Human Population in the Future

Tags: higher, moral, nature, restriction, inferior

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Roger Bacon expressed a feeling which afterwards moved many minds, when he said that if he had the power he would burn all the works of the Stagirite, since the study of them was not simply loss of time, but multiplication of ignorance. Yet in spite of this outbreak every page is studded with citations from Aristotle, of whom he everywhere speaks in the highest admiration.

roger bacon

— George Henry Lewes, Aristotle: a Chapter from the History of Science (1864)

Tags: Roger, Bacon, expressed, feeling, afterwards, moved, minds, when, power

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Keep computations to the lowest level of the multiplication table.

david hilbert

— Hilbert-Courant (1984) by Constance Reid, p. 104

Tags: Keep, computations, lowest, level, table

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It is erroneous to consider the multiplication (or increase) of needs as a sign of progress, to think that it is necessary to arouse in the people still unpolished (or rough), new needs to bring them to a more civilised life. Similarly ("de même", Fr.) it is erroneous to expect (or want, or wish, - "vouloir," Fr.) to measure (or assess) the degree of culture of a man to the degree of refinement he make (or deploy, or unfold) in his methods ("modes", Fr.) of pleasure ("jouissance", Fr.)

african spir

— p. 48 - Gandhi wrote something that is almost word for word the same, in All men are brothers.

Tags: erroneous, consider, increase, needs, sign, progress, think, necessary, arouse

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It cannot but happen that those individuals whose functions are most out of equilibrium with the modified aggregate of external forces, will be those to die; and that those will survive whose functions happen to be most nearly in equilibrium with the modified aggregate of external forces. But this survival of the fittest, implies multiplication of the fittest. Out of the fittest thus multiplied, there will, as before, be an overthrowing of the moving equilibrium wherever it presents the least opposing force to the new incident force.


— Herbert Spencer (1864) The Principles of Biology, Vol. I, Part III: The Evolution of Life, Ch. 7: Indirect Equilibration

Tags: individuals, functions, most, equilibrium, modified, aggregate, external, forces, die

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What is fanaticism? Today is the fashionable, creed tomorrow, and trite as the multiplication table a week after.


— Wendell Phillips, as quoted in Latest Interpretation (1886) by Samuel A. Gardner, p.152

Tags: What, fanaticism, Today, fashionable, creed, tomorrow, trite, table, week

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The most effectual encouragement to population is, the activity of industry, and the consequent multiplication of the national products.


— Jean-Baptiste Say, A Treatise On Political Economy (Fourth Edition), Book II, Chapter XI, Section I, p. 375

Tags: most, effectual, encouragement, population, activity, industry, consequent, national, products

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I am for a government rigorously frugal & simple, applying all the possible savings of the public revenue to the discharge of the national debt; and not for a multiplication of officers & salaries merely to make partisans, & for increasing, by every device, the public debt, on the principle of it's being a public blessing.


— Thomas Jefferson, letter to Elbridge Gerry, January 26, 1799, reported in ed., The Writings of Thomas Jefferson, Paul L. Ford, vol. 7, p. 327 (1896).

Tags: government, rigorously, frugal, amp, simple, applying, possible, savings, public

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Roger Bacon expressed a feeling which afterwards moved many minds, when he said that if he had the power he would burn all the works of the Stagirite, since the study of them was not simply loss of time, but multiplication of ignorance. Yet in spite of this outbreak every page is studded with citations from Aristotle, of whom he everywhere speaks in the highest admiration.

george henry lewes

— George Henry Lewes, Aristotle: a Chapter from the History of Science (1864)

Tags: Roger, Bacon, expressed, feeling, afterwards, moved, minds, when, power

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It is not agreeable to any man to be a defendant to an adverse Chancery suit, and I should be very sorry to sanction any principle which might lead to an increase in the number of defendants, and to the multiplication of litigant parties.


— Sir R. Matins, V.-C, Clark v. Lord Rivers (1867), L. R. 5 Eq. Ca. 96.

Tags: agreeable, man, defendant, adverse, Chancery, suit, sorry, sanction, principle

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The anxiety has been greatly increased by this government's multiplication of exams and emphasis on starting training as a middle manager in a computer company from the age of six.


— John Mortimer (2003) Where There's a Will: Thoughts on the Good Life

Tags: anxiety, been, greatly, increased, government's, exams, emphasis, starting, training

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One of the most frequently mentioned equations was Euler's equation, Respondents called it "the most profound mathematical statement ever written"; "uncanny and sublime"; "filled with cosmic beauty "; and "mind-blowing". Another asked: "What could be more mystical than an imaginary number interacting with real numbers to produce nothing ?" The equation contains nine basic concepts of mathematics once and only once in a single expression. These are: e (the base of natural logarithms); the exponent operation; ?; plus (or minus, depending on how you write it); multiplication; imaginary numbers; equals; one; and zero.


— Robert P. Crease, in "The greatest equations ever" at PhysicsWeb (October 2004)

Tags: One, most, frequently, mentioned, equations, Euler's, equation, Respondents, profound

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Addition and multiplication In our study of oscillating systems we shall have occasion to use one of the most remarkable, almost astounding, formulas in all of mathematics. From the physicist's point of view we could bring forth this formula in two minutes or so, and be done with it. But science is as much for intellectual enjoyment as for practical utility, so instead of just spending a few minutes, we shall surround the jewel by its proper setting in the grand design of that branch of mathematics called elementary algebra.


— Richard Feynman, Robert B. Leighton, ?Matthew Sands (1963), The Feynman Lectures on Physics, Vol. I, p. 22 : on Euler's formula, of which Euler's identity is a special case, in

Tags: our, study, oscillating, systems, we, occasion, use, one, most

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One of the most frequently mentioned equations was Euler 's equation, Respondents called it "the most profound mathematical statement ever written"; "uncanny and sublime"; "filled with cosmic beauty "; and " mind -blowing". Another asked: "What could be more mystical than an imaginary number interacting with real numbers to produce nothing ?" The equation contains nine basic concepts of mathematics once and only once in a single expression. These are: e (the base of natural logarithms); the exponent operation; ?; plus (or minus, depending on how you write it); multiplication; imaginary numbers; equals; one; and zero.


— Robert P. Crease, in "The greatest equations ever" at PhysicsWeb (October 2004)

Tags: One, most, frequently, mentioned, equations, Euler, equation, Respondents, profound

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Remember there is always a limit to self-indulgence, none to restraint... Civilization , in the real sense of the term, consists not in the multiplication but in the deliberate and voluntary restriction of wants. This alone promotes real happiness and contentment , and increases the capacity for service .


— Mahatma Gandhi in: Larry Chang Wisdom for the Soul: Five Millennia of Prescriptions for Spiritual Healing, Gnosophia Publishers, 2006, p.619

Tags: Remember, there, limit, selfindulgence, none, restraint, Civilization, real, sense

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Roger Bacon expressed a feeling which afterwards moved many minds, when he said that if he had the power he would burn all the works of the Stagirite, since the study of them was not simply loss of time, but multiplication of ignorance. Yet in spite of this outbreak every page is studded with citations from Aristotle, of whom he everywhere speaks in the highest admiration.

george henry lewes

— George Henry Lewes, Aristotle: a Chapter from the History of Science (1864)

Tags: Roger, Bacon, expressed, feeling, afterwards, moved, minds, when, power

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