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Pure mathematics   /pjʊr mˌæθəmˈætɪks/   Listen
adjective
Abstract  adj.  
1.
Withdraw; separate. (Obs.) "The more abstract... we are from the body."
2.
Considered apart from any application to a particular object; separated from matter; existing in the mind only; as, abstract truth, abstract numbers. Hence: ideal; abstruse; difficult.
3.
(Logic)
(a)
Expressing a particular property of an object viewed apart from the other properties which constitute it; opposed to concrete; as, honesty is an abstract word.
(b)
Resulting from the mental faculty of abstraction; general as opposed to particular; as, "reptile" is an abstract or general name. "A concrete name is a name which stands for a thing; an abstract name which stands for an attribute of a thing. A practice has grown up in more modern times, which, if not introduced by Locke, has gained currency from his example, of applying the expression "abstract name" to all names which are the result of abstraction and generalization, and consequently to all general names, instead of confining it to the names of attributes."
4.
Abstracted; absent in mind. "Abstract, as in a trance."
An abstract idea (Metaph.), an idea separated from a complex object, or from other ideas which naturally accompany it; as the solidity of marble when contemplated apart from its color or figure.
Abstract terms, those which express abstract ideas, as beauty, whiteness, roundness, without regarding any object in which they exist; or abstract terms are the names of orders, genera or species of things, in which there is a combination of similar qualities.
Abstract numbers (Math.), numbers used without application to things, as 6, 8, 10; but when applied to any thing, as 6 feet, 10 men, they become concrete.
Abstract mathematics or Pure mathematics. See Mathematics.



Pure  adj.  (compar. purer; superl. purest)  
1.
Separate from all heterogeneous or extraneous matter; free from mixture or combination; clean; mere; simple; unmixed; as, pure water; pure clay; pure air; pure compassion. "The pure fetters on his shins great." "A guinea is pure gold if it has in it no alloy."
2.
Free from moral defilement or quilt; hence, innocent; guileless; chaste; applied to persons. "Keep thyself pure." "Now the end of the commandment is charity out of a pure heart, and of a good conscience."
3.
Free from that which harms, vitiates, weakens, or pollutes; genuine; real; perfect; applied to things and actions. "Pure religion and impartial laws." "The pure, fine talk of Rome." "Such was the origin of a friendship as warm and pure as any that ancient or modern history records."
4.
(Script.) Ritually clean; fitted for holy services. "Thou shalt set them in two rows, six on a row, upon the pure table before the Lord."
5.
(Phonetics) Of a single, simple sound or tone; said of some vowels and the unaspirated consonants.
Pure-impure, completely or totally impure. "The inhabitants were pure-impure pagans."
Pure blue. (Chem.) See Methylene blue, under Methylene.
Pure chemistry. See under Chemistry.
Pure mathematics, that portion of mathematics which treats of the principles of the science, or contradistinction to applied mathematics, which treats of the application of the principles to the investigation of other branches of knowledge, or to the practical wants of life. See Mathematics.
Pure villenage (Feudal Law), a tenure of lands by uncertain services at the will of the lord.
Synonyms: Unmixed; clear; simple; real; true; genuine; unadulterated; uncorrupted; unsullied; untarnished; unstained; stainless; clean; fair; unspotted; spotless; incorrupt; chaste; unpolluted; undefiled; immaculate; innocent; guiltless; guileless; holy.






Collaborative International Dictionary of English 0.48








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"Pure mathematics" Quotes from Famous Books



... Somerville was now occupied with pure mathematics. He said: 'There she is strong. I never saw her but once. She must be over sixty years old.' In reality she was seventy-seven. He spoke with admiration of Mrs. Somerville's 'Physical Geography,'—said it was excellent because so concise. 'A German woman would have ...
— Maria Mitchell: Life, Letters, and Journals • Maria Mitchell

... went straight home and shut himself up in his study. It was a fine room, ranged all round with books. On the shelves nearest to his hand stood volumes on mathematics, the theory of mathematics, the study of mathematics, pure mathematics, applied mathematics. But there was not any one of these books that told him anything about such a thing as this. Though, it is true, there were many references in them, here and there, to X, ...
— Uncanny Tales • Various

... material about stock-broking. It's like pure mathematics. You're dealing in abstractions, ideal values, all the time. You calculate—in curves." His hand, holding the unlit cigar, drew a curve, a long graceful one, in mid-air. "You know what's going to happen ...
— Life and Death of Harriett Frean • May Sinclair

... that this was a legitimate conclusion from the teaching of Priest Pemberton, but it required a colder and harder nature than his own to carry out many of his dogmas to their practical application. He wrought in the pure mathematics, so to speak, of theology, and left the working rules to the good sense and good feeling of ...
— The Autocrat of the Breakfast-Table • Oliver Wendell Holmes, Sr. (The Physician and Poet not the Jurist)

... dear!" Suzanne protested. "That but stinks! The great Adam Lowiewski, descending from his pinnacle of pure mathematics, to perform a vulgar experiment? With actual things?" The Frenchwoman gave an ...
— The Mercenaries • Henry Beam Piper

... put his hand on his shoulder: "Jack, my work is nearly done, so far as you are concerned. You have worked nearly as far as can be of any use to you in pure mathematics. For the next few months you may go on; but then you had better turn your attention to the useful application of what you have learned. You want to fit yourself to be an engineer, especially, of course, a mining engineer; still the more general your knowledge ...
— Facing Death - The Hero of the Vaughan Pit. A Tale of the Coal Mines • G. A. Henty

... developed, as nothing of human or divine origin can be alone, were united, in the very beginning of this epoch, by Descartes. This philosopher first applied the algebraic analysis to the solution of geometrical problems; and in this brilliant discovery lay the germ of a sudden growth of interest in the pure mathematics. The breadth and facility of these solutions added a new charm to the investigation of curves; and passing lightly by the Conic Sections, the mathematicians of that day busied themselves in finding the areas, solids of revolution, tangents, etc., of all ...
— Atlantic Monthly, Volume 3, No. 20, June, 1859 • Various

... spontaneous generation—these mathematicians do not seem to me to distinguish between un-belief and a-belief. I know no other name for the state of mind that is produced under the term scepticism. I had no idea before that pure Mathematics had achieved such wonders in practical science. The total absence of any allusion to Tyndall's labours, even when comets are his theme, seems ...
— More Letters of Charles Darwin - Volume I (of II) • Charles Darwin

... question, which cannot have the mysterious interest of the circle problem, and is of a comparatively modern date.[762] Mr. Vogel {374} announces a forthcoming treatise in which are resolved the "last impossibilities of pure mathematics." ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan



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