"Pure mathematics" Quotes from Famous Books
 ... matters is non-existent or for ever unattainable. A claim for objective validity for the moral judgement does not mean a claim for infallibility on behalf of any individual Conscience. We may make mistakes in Morals just as we may make mistakes in Science, or even in pure Mathematics. If a class of forty small boys are asked to do a sum, they will probably not all bring out the same answer: but nobody doubts that one answer alone is right, though arithmetical capacity is a variable quantity. What is meant is merely that, if I am right in affirming that this is good, ...
— Philosophy and Religion - Six Lectures Delivered at Cambridge • Hastings Rashdall
... will readily sympathise with Plato's delight in the properties of pure mathematics. He will not be disinclined to say with him:—Let alone the heavens, and study the beauties of number and figure in themselves. He too will be apt to depreciate their application to the arts. He will observe that Plato has a conception of geometry, in which figures are to be ...
— The Republic • Plato
... this is found to be the case in politics, literature, art, music, and indeed in everything else, except perhaps pure mathematics, it is found to be yet more universally the case in questions of religion, since religion is a subject so much more sublime, abstruse, and incomprehensible than others, and so full of supernatural and mysterious truths, with which no merely ...
— The Purpose of the Papacy • John S. Vaughan
... free from everything empirical, in pure rational concepts only, and nowhere else, not even in the smallest degree; then rather to adopt the method of making this a separate inquiry, as pure practical philosophy, or (if one may use a name so decried) as metaphysic of morals, [Footnote: Just as pure mathematics are distinguished from applied, pure logic from applied, so if we choose we may alse distinguish pure philosophy of morals (metaphysic) from applied (viz. applied to human nature). By this designation ...
— Literary and Philosophical Essays • Various
... to a school-teacher in the rue Saint-Hyacinthe, a Monsieur Barniol. Phellion's eldest son was a professor of mathematics in a royal college; he gave lectures and private lessons, being devoted, so his father was wont to say, to pure mathematics. A second son was in the government School of Engineering. Phellion had a pension of nine hundred francs, and he possessed a little property of nine thousand and a few odd hundred francs; the fruit of his economy and that of his wife during thirty years of toil and privation. He was, moreover, ...
— The Lesser Bourgeoisie • Honore de Balzac
... the philosopher, and Sir John Lubbock, banker and naturalist, were friends of nearly as long standing. Edward Frankland, Professor of Chemistry at the Royal Institution, and Thomas Archer Hirst, Professor of Physics and Pure Mathematics at University College, London, afterwards Director of Naval Studies at the Royal Naval College, Greenwich, entered the circle as special friends of Tyndall's. William Spottiswoode, Queen's Printer and mathematician, was the ninth member, ...
— Thomas Henry Huxley - A Character Sketch • Leonard Huxley
... high in the air that it could not be located. The returning beam is invisible to anyone not immediately in the path of the ray, and the ray always goes to the observer. It is simply a matter of pure mathematics practically applied. The angle of incidence equals the angle of reflection. There is not a variation of a foot ...
— The War Terror • Arthur B. Reeve
... himself, and which it would have been a well-earned pleasure for him to do—to introduce to you Lord Rayleigh as his successor in the office of President of the British Association. Professor Cayley has devoted his life to the advancement of pure mathematics. It is indeed peculiarly appropriate that he should be followed in the honourable post of president by one who has done so much to apply mathematical power in the various branches of physical science ...
— The British Association's visit to Montreal, 1884: Letters • Clara Rayleigh
... father; of a Coal Miner (a correspondent of Dr. Gregory's), who was an able writer on topics of the higher mathematics; of another correspondent, a labouring Whitesmith, who was also well acquainted with the course of pure mathematics, as taught at Cambridge, Dublin, and the military colleges; of a Tailor, who was an excellent geometrician, and had discovered curves which escaped the notice of Newton, and who laboured industriously and contentedly at his trade until sixty ...
— Thrift • Samuel Smiles
... invention of the telescope, the discoveries of the spots on the sun, the satellites of Jupiter and the horns of Venus may be reconsidered and perhaps reversed. It is believed that in logical analysis, in philosophy, and in many other departments of science few in his day were his equals, while in pure mathematics none was ...
— Thomas Hariot • Henry Stevens |
