| 单词 | pure mathematics |
| 例句 | Bacon provided labels for this distinction: ‘pure mathematics’ and ‘mixed mathematics’. The Invention of Science 2015-09-17T00:00:00Z They had a variety of professional commitments, but they regarded themselves as first and foremost mathematicians, and many of them made major contributions to pure mathematics. The Invention of Science 2015-09-17T00:00:00Z But pure mathematics had a higher status, with the result that there was a constant hankering after the language and argumentative style of pure mathematics. The Invention of Science 2015-09-17T00:00:00Z This 13th-century window rejects figurative fuss in favour of pure mathematics and subtle, suggestive shades of colour. The story of British art: my 5,000 year hunt for treasure 2012-07-10T17:31:39Z The first human cities established by Canopus are products of pure mathematics, taking base geometrical shapes like the Square, Circle and Oval as their pattern. Summer voyages: Shikasta Re: Colonised Planet 5 by Doris Lessing 2013-07-22T12:26:12Z As he intermittently points out, pure mathematics tends to be a young person’s pursuit. Math Defeated Him in School. In His 60s, He Went Back for More. 2022-07-13T04:00:00Z And even if string theory turns out to be a dead end for physics, it has led to a lot of progress in pure mathematics. Q. & A.: Jim Holt on Why the World Exists 2012-07-18T14:09:41Z Much of what theoretical physicists do is pure mathematics, so they often need analogies to explain their work to laypeople. The Dark Energy of a Theoretical Physicist 2016-10-29T04:00:00Z Some of the repeated forms in Susan Stacks’s densely patterned ink-and-graphite abstractions resemble leaves or clouds, but others suggest microscopic life or pure mathematics translated into lines and curves. Review | In the galleries: Juried competition puts regional artists at center stage 2020-10-22T04:00:00Z Mr. Kaczynski traced a path that was singular in American life: lonely boy genius to Harvard-trained star of pure mathematics to rural recluse to notorious murderer to imprisoned extremist. Ted Kaczynski, ‘Unabomber’ Who Attacked Modern Life, Dies at 81 2023-06-10T04:00:00Z In pure mathematics, the definition of a falsehood is surprisingly narrow, and an important exception exists for what are called "vacuous truths." Lies, falsehoods and "vacuous truths": GOP explores a new realm of absolute emptiness 2022-09-04T04:00:00Z She describes her parents as “left-wing activists,” her father a professor of pure mathematics at the University of Leeds and mother a nurse and local leader of the Campaign for Nuclear Disarmament. Who is Liz Truss, a shapeshifter set to be U.K.’s next prime minister? 2022-09-03T04:00:00Z Furthermore, he adds, “pure mathematics always makes its way into every other area of science. It’s only a matter of time.” The Evolving Quest for a Grand Unified Theory of Mathematics 2022-03-21T04:00:00Z In the book’s preface, Dr. Goldfeld credited Mr. Vaughn with the idea for the conference and thanked him for supporting it and “pure mathematics in general.” The Texas Oil Heir Who Took On Math’s Impossible Dare 2022-01-31T05:00:00Z Usually, the argument is that beautiful, pure mathematics eventually — in a year, in a century — produces compelling applications. The Godmother of the Digital Image 2021-09-14T04:00:00Z But as a question of pure mathematics, experts say the answer is clearly no. No One Would Fear COVID Vaccines if Policy Makers Explained Their Risks Better 2021-04-30T04:00:00Z “It’s a very beautiful combination of pure mathematics, materials science, and geology,” one fan says. Our favorite science news stories of 2020 (non–COVID-19 edition) 2020-12-18T05:00:00Z Quantum waves in topological insulators: pure mathematics is a powerful and rigorous way to describe shapes and how they are arranged in space.Credit: The quantum Hall effect continues to reveal its secrets to mathematicians and physicists 2020-07-28T04:00:00Z “It’s a very beautiful combination of pure mathematics, materials science, and geology,” says Sujit Datta, a chemical and biological engineer at Princeton University who was not involved in the work. From rocks to icebergs, the natural world tends to break into cubes 2020-07-27T04:00:00Z Daubechies believes that the cycle also turns in the opposite direction, that successful applications can lead to beautiful, pure mathematics. The Godmother of the Digital Image 2021-09-14T04:00:00Z Considering such scenarios is the beauty of category theory, Cheng’s branch of pure mathematics. Equity: a mathematician shares her solution 2020-07-26T04:00:00Z In a rare feat, the work proceeds from pure mathematics, says study author and mathematician Robert Penner of the Institute of Advanced Scientific Studies in France. Geometry Points to Coronavirus Drug Target Candidates 2020-05-19T04:00:00Z At a lecture in 1939, Paul Dirac said that “pure mathematics and physics are becoming ever more closely connected”. The quantum Hall effect continues to reveal its secrets to mathematicians and physicists 2020-07-28T04:00:00Z In one fell swoop, their proof solves a number of related problems in pure mathematics, quantum mechanics and a branch of computer science known as complexity theory. Daily briefing: A supercomputer is mining fossil records to uncover unknown extinctions 2020-01-16T05:00:00Z If it checks out, it solves a number of related problems in pure mathematics, quantum mechanics and a branch of computer science known as complexity theory in one fell swoop. How ‘spooky’ is quantum physics? The answer could be incalculable 2020-01-15T05:00:00Z And I’m a new fan of pure mathematics. Equity: a mathematician shares her solution 2020-07-26T04:00:00Z Personally, I feel no need to prove the theory experimentally, since I believe it can be proven using pure mathematics. String Theory Does Not Win Nobel, and I Win Bet 2019-10-08T04:00:00Z Techniques from pure mathematics are used in economics, engineering and finance, but there’s no sense in — nor reason for — these fields becoming one. The quantum Hall effect continues to reveal its secrets to mathematicians and physicists 2020-07-28T04:00:00Z In college, at the University of Chicago, Brown loved pure mathematics, but felt that it was too removed from public service. Can a Burger Help Solve Climate Change? 2019-09-23T04:00:00Z She says that the winners have “done great mathematical work that deserves recognition”, adding, “but perhaps the award should be for pure mathematics, because this is not physics.” Speculative ‘supergravity’ theory wins US$3-million prize 2019-08-05T04:00:00Z That the most fruitful period in the development of particle physics coincided with its estrangement from pure mathematics could be seen as undermining Farmelo’s case. A struggle for the soul of theoretical physics 2019-04-15T04:00:00Z If we can solve the theory mathematically, then we should be able to calculate the properties of electrons, protons, and atoms from pure mathematics. String Theory Does Not Win Nobel, and I Win Bet 2019-10-08T04:00:00Z But what of pure mathematics, and how did topology become involved? The quantum Hall effect continues to reveal its secrets to mathematicians and physicists 2020-07-28T04:00:00Z “This is absolutely phenomenal, both for Caucher and for mathematics at Cambridge,” said Professor Gabriel Paternain, head of the university’s department of pure mathematics and mathematical statistics. Fields Medal Is Stolen Minutes After It’s Given in Brazil 2018-08-02T04:00:00Z Finally, I like the beauty of pure mathematics, much in the same way someone might like a work of art. The Hidden Depth in Math's Simple Puzzles 2018-01-17T05:00:00Z Some of the work, intended to enable computers to work in pure mathematics, entailed providing a new formulation of the foundations of the ancient discipline. Vladimir Voevodsky, acclaimed mathematician who won Fields Medal, dies at 51 2017-10-07T04:00:00Z Being hailed as a genius allowed her to pursue pure mathematics — not an easy career choice for women in Iran. Maryam Mirzakhani (1977-2017) : Nature : Nature Research 2017-09-05T04:00:00Z Her work began in the realm of pure mathematics, but unlike most mathematical advances, which might find a practical use after decades, if ever, her work is already being applied by physicists. Mathematical Wave Puzzle Shines Light on the Physics of Electrons 2017-08-30T04:00:00Z On Instagram, Miquela is a humanoid avatar, a crypto-real young woman living what seems like a real life — with real friends, going real places — but whose physical self is pure mathematics. null 2017-08-11T04:00:00Z Her father was an academic of Jamaican descent with a PhD in pure mathematics, and her mother, an actress of Guyanese heritage. Racism in Australia 2017-07-06T04:00:00Z For one thing, these esoteric belief systems were all a darn sight easier to tackle than theoretical physics, pure mathematics and Ancient Greek. Sufi Sect of Islam Draws ‘Spiritual Vagabonds’ in New York 2016-09-23T04:00:00Z As a university student, Dr. Papert dedicated himself principally to what he called “the beautiful jewel of the human spirit called pure mathematics.” Seymour Papert, MIT scholar who connected children with computers, dies at 88 2016-08-03T04:00:00Z Industrialists and some government officers complain that many academic studies, such as in pure mathematics or fundamental physics, are irrelevant to the nation's economy or society. Policy: Boost basic research in China 2016-06-21T04:00:00Z The other 25 existing centres are pushing into fields ranging from gene editing to nanomaterials and pure mathematics. Why South Korea is the world’s biggest investor in research 2016-05-31T04:00:00Z But Mochizuki’s papers, which totalled more than 500 pages1–4, were exceedingly abstract and cryptic even by the standards of pure mathematics. Biggest mystery in mathematics in limbo after cryptic meeting 2015-12-15T05:00:00Z Handily for Einstein, though, an old university chum, Marcel Grossmann, was an expert in Riemannian geometry, a piece of previously pure mathematics created to describe curved multi-dimensional surfaces. The most beautiful theory 2015-11-25T05:00:00Z In his latest verification report, Mochizuki wrote that the status of his theory with respect to arithmetic geometry “constitutes a sort of faithful miniature model of the status of pure mathematics in human society”. Math Mystery: Shinichi Mochizuki and the Impenetrable Proof 2015-10-08T04:00:00Z For Datto, who holds master’s degrees in theoretical physics and pure mathematics, virtual photography is a way to combine his interest in contemporary social issues with his background in abstract conceptualization. Spying on Animals: Moments from Zoo Surveillance Feeds 2015-08-18T04:00:00Z All of George’s degrees are in pure mathematics—a bachelor’s degree from the University of Chicago, a master’s from the University of Cambridge, and a doctorate from Cornell University. Deloitte's RightStep Innovation Prize Goes To Social Venture Reasoning Mind 2015-07-01T04:00:00Z Nash, in diverting from his studies in pure mathematics to this nascent field, showed that in a certain class of games a certain set of outcomes exists: those outcomes are now called “Nash equilibria.” The Triumph (and Failure) of John Nash’s Game Theory 2015-05-27T04:00:00Z He described his first breakthrough in pure mathematics, in his early 20s, as “a nice discovery relating to manifolds and real algebraic varieties”. John Nash's unique approach produced quantum leaps in economics and maths 2015-05-24T04:00:00Z "Looking at the damage, the velocity, the height and the fragments, it all adds up to a Buk missile, to me it is pure mathematics," he told me. MH17 crash: My revealing fragments from east Ukraine 2015-04-15T04:00:00Z "This notebook shines extra light on how, even when he was enmeshed in great world events, he remained committed to free-thinking work in pure mathematics," Hodges said in a statement. Manuscript by Nazi code breaker Alan Turing sells for $1 million 2015-04-13T04:00:00Z In a statement through Bonhams, Turing scholar Andrew Hodges said the notebook sheds more light on how Turing" remained committed to free-thinking work in pure mathematics." British code breaker Alan Turing's notebook at auction 2015-04-13T04:00:00Z The pursuit of beauty in pure mathematics is a tenet. Solving an Unsolvable Math Problem 2015-01-26T05:00:00Z In August, Mirzakhani was awarded the Fields Medal, often called mathematics' Nobel prize, for this and other advances in pure mathematics. 365 days: Nature's 10 The year 1938 was Turing’s year of choice: he chose to return from America and chose active engagement with war rather than pure mathematics. The Private Anguish of Alan Turing “His style is completely original, and combines the three main areas of pure mathematics — algebra, geometry and analysis — in a beautiful way.” Iranian is first woman to nab highest prize in maths 2014-08-11T04:00:00Z The academics who are professionally uneasy with the NSA tend to lie on the applied end of the spectrum: they work on computer security and cryptography rather than pure mathematics and basic physics. Mathematicians and Computer Scientists Shrug over the NSA Hacking 2013-10-08T21:45:03.970Z This hypothesis is called the ‘continuum hypothesis’ and happens to be one of the biggest unsolved problems in pure mathematics. An eternity of infinities: the power and beauty of mathematics 2013-01-23T00:45:00.190Z Einstein once called pure mathematics “the poetry of logical ideas”. Mathematical modelling: Forecasting cancer 2012-11-23T15:21:12.853Z But beyond this, the global impact of pure science rises above all national boundaries, and the sheer timelessness of pure mathematics transcends the limitations of his twentieth-century span. The Private Anguish of Alan Turing But when it comes to the branch of pure mathematics known as number theory, Bamunoba is on solid ground. Education: Africa’s counting house 2012-11-07T18:20:46.323Z “This is a death knell for many of us in frontier or basic research, such as pure mathematics, evolutionary biology, astrophysics or particle physics,” laments Gallagher. Irish science adviser office axed 2012-11-07T18:20:44.090Z For instance: - there is intense competition for funds to do pure mathematics/ solve math problems. Income stagnation: Stagnation by way of the Midwest 2012-10-26T18:40:09Z This year’s contest sees the first category win for a Ph.D. dance based on pure mathematics. Dance Your PhD: And The Winner Is... 2012-10-15T06:19:42Z For starters, basic education in France puts a strong emphasis on pure mathematics. The French Connection 2012-05-21T05:00:00Z C. G. J. Jacobi and other mathematicians have developed to a great extent, and as a question of pure mathematics only, Hamilton’s processes, and have thus made extensive additions to our knowledge of differential equations. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 8 "Haller, Albrecht" to "Harmonium" 2012-01-02T03:00:22.443Z The whole of pure mathematics and pure natural science a priori is based entirely upon these. The World As Will And Idea (Vol. 1 of 3) 2011-12-29T03:00:18.017Z He does not usually attempt to define what distinguishes a significant from a trivial system of postulates, or what constitutes a problem worth attacking from the point of view of pure mathematics. International Congress of Arts and Science, Volume I Philosophy and Metaphysics 2011-12-12T03:00:31.160Z The abstract ratio is a thing for pure mathematics, and not a thing for economics. Social Value A Study in Economic Theory Critical and Constructive 2011-11-19T03:00:28.253Z Since string theorists are working in the dark, experimentally speaking, some say they are not really doing science, but rather pure mathematics. Knocking on Heaven?s Door ? By Lisa Randall ? Book Review 2011-10-08T08:00:51Z All branches of pure mathematics deal merely with types of relations. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Still, even in the region of pure mathematics, his powerful and original mind left notable traces of its working. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 4 "G" to "Gaskell, Elizabeth" 2011-08-24T02:00:20.690Z As was also to be expected, the entire edifice of pure mathematics, so far as it has yet been erected, actually rests upon a very few fundamental concepts and postulates, however you may formulate them. International Congress of Arts and Science, Volume I Philosophy and Metaphysics 2011-12-12T03:00:31.160Z Between philosophy and pure mathematics there is a certain affinity, in the fact that both are general and a priori. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z It is the science of pure mathematics; and in the high branches of this science lies the true sublime of human acquisition. The Works of Daniel Webster, Volume 1 2011-07-27T02:00:32.830Z But why overlooks he pure mathematics—a much higher science than arithmetic? A Logic Of Facts Or, Every-day Reasoning 2011-07-22T02:00:18.543Z Now the Canucks are bucking history and pure mathematics. With a Game 7 to Go, Omens Take the Stage 2011-06-15T01:54:08Z A similar formal freedom marks the development of any other theory in the realm of pure mathematics. International Congress of Arts and Science, Volume I Philosophy and Metaphysics 2011-12-12T03:00:31.160Z Bergson apparently holds that capacity for this kind of knowledge is less explicable by the struggle for existence than, for example, capacity for pure mathematics. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z The study of the pure mathematics will of course not be extensively pursued in an institution, which, like this, has a direct practical tendency and aim. The Works of Daniel Webster, Volume 1 2011-07-27T02:00:32.830Z Men reason very well so long as they confine their reasoning to pure mathematics, but when they attempt to apply their logic to practical life, they are at fault. A New Atmosphere 2011-05-20T02:00:35.903Z The pure mathematics of one era may be applied in another, perhaps centuries later. The Mathematician as an Explorer 2011-05-04T13:15:00.247Z If the theory of numbers belongs to pure mathematics, the study of the place of the number concept in the system of human ideas belongs to philosophy. International Congress of Arts and Science, Volume I Philosophy and Metaphysics 2011-12-12T03:00:31.160Z This second part merges into pure mathematics, whose propositions all turn out, on analysis, to be such general formal truths. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z "The celebrated Arago says that he who, outside of pure mathematics, uses the word impossible, lacks prudence," said the Professor. The Funny Philosophers Wags and Sweethearts 2011-03-19T02:00:11.277Z "Often deep understanding of underlying pure mathematics takes awhile to filter into applications." Mathematics' Nearly Century-Old Partitions Enigma Spawns Fractals Solution 2011-02-08T20:15:05.880Z Within the last few years the reputation of Archimedes in pure mathematics has been greatly enhanced by the discovery by Professor Heiberg of a lost work of the great Alexandrian professor in Constantinople. Education: How Old The New 2011-01-14T03:00:54.370Z In vain, then, does one attempt to use the test of applied mathematics as the main criticism of the value of a theory of pure mathematics. International Congress of Arts and Science, Volume I Philosophy and Metaphysics 2011-12-12T03:00:31.160Z Angus was born and brought up in the Cotswolds, studying sciences at Marling school, Stroud, and pure mathematics at Bristol University. Sir Michael Angus obituary 2010-04-15T17:50:00Z Doctrinally, that is, as to any specific intellectual content, there can hardly be said to be any pure mathematics, any final body of formula absolutely exact and fully applicable. The Will to Doubt An essay in philosophy for the general thinker That pure mathematics have nothing to do with external existence, may be easily granted; but that mathematicians are exempt from controversy, is no more a matter of experience than that all mathematical assertions are self-evident. Blackwood's Edinburgh Magazine, Volume 59, No. 368, June 1846 They set themselves to the solution of certain problems and in doing so evolved a theorem in pure mathematics and an application of it which greatly simplified construction and gave an impetus to mechanics. Education: How Old The New 2011-01-14T03:00:54.370Z The result is that we have recently come for the first time to be able to see, with some completeness, what the assumed first principles of pure mathematics actually are. International Congress of Arts and Science, Volume I Philosophy and Metaphysics 2011-12-12T03:00:31.160Z And in the realm of pure mathematics, the new logic has undoubtedly contributed in this manner to such discoveries. Creative Intelligence Essays in the Pragmatic Attitude Shall we say that in literature and science there is nothing true but fiction and the pure mathematics? The Library and Society Reprints of Papers and Addresses He was called to the bar in 1849, and remained at the bar fourteen years, till 1863, when he was elected to the new Sadlerian chair of pure mathematics in the university of Cambridge. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 5 "Cat" to "Celt" And Kant goes on to add that it is for this reason that geometry and pure mathematics generally apply to objects of experience. Kant's Theory of Knowledge Among such pure sciences we have by universal admission to include at least two, pure formal logic and pure mathematics, as distinguished from the special applications of logic and mathematics to an empirical material. International Congress of Arts and Science, Volume I Philosophy and Metaphysics 2011-12-12T03:00:31.160Z The peculiar character of abstract or pure mathematics seems to be that its own operations on a lower level constitute material which serves for the subject-matter with which its later investigations deal. Creative Intelligence Essays in the Pragmatic Attitude That pure mathematics has a significance independent of particular individual experience is quite true as are also the established facts of all the sciences and indeed of all facts. Landmarks of Scientific Socialism "Anti-Duehring" He wrote upon nearly every subject of pure mathematics, and also upon theoretical dynamics and spherical and physical astronomy. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 5 "Cat" to "Celt" In pure mathematics he gave methods for solving all triangles plane and spherical: he also constructed a table of chords. History of the Intellectual Development of Europe, Volume I (of 2) Revised Edition Of the relation of metaphysics to pure mathematics it would be impertinent for any but a trained mathematician to say very much. International Congress of Arts and Science, Volume I Philosophy and Metaphysics 2011-12-12T03:00:31.160Z You have worked nearly as far as can be of any use to you in pure mathematics. Facing Death The Hero of the Vaughan Pit. A Tale of the Coal Mines But in pure mathematics the mind is not by any means engaged with its own creations and imaginings. Landmarks of Scientific Socialism "Anti-Duehring" One is pure form, the other pure mathematics. An Ocean Tramp And pure mathematics, such as the theories of relativity and equivalence, I simply abhor. Astounding Stories, March, 1931 For in formal logic, whether as quantity or quality, that is, in pure mathematics or abstract thought, the reasoning is just as correct when negatives are employed as when positives, as I have remarked before. The Religious Sentiment Its Source and Aim: A Contribution to the Science and Philosophy of Religion As sciences grow, they tend to require more and more the strong methods of intellectual penetration provided by pure mathematics. College Teaching Studies in Methods of Teaching in the College The ordinary appeal to the truths of pure mathematics is, therefore, beside the question. Social Rights and Duties, Volume I (of 2) Addresses to Ethical Societies He wished to deal with political, and especially with legal, questions in a scientific spirit—but 'scientific' would mean not pure mathematics but pure empiricism. The English Utilitarians, Volume I. On the shelves nearest to his hand stood volumes on mathematics, the theory of mathematics, the study of mathematics, pure mathematics, applied mathematics. Uncanny Tales All this is of course pure mathematics, and I have made these elementary observations for the benefit of my younger hearers, the students of this University. The Romance of Mathematics Being the Original Researches of a Lady Professor of Girtham College in Polemical Science, with some Account of the Social Properties of a Conic; Equations to Brain Waves; Social Forces; and the Laws of Political Motion. In particular, "there is a constant tendency for mathematical physics to be absorbed in pure mathematics." College Teaching Studies in Methods of Teaching in the College Hegel in 1805 lectured on history of philosophy, pure mathematics and natural law. Manhood of Humanity. The book, he explained, laid down the principles of all his future labours, and was to stand to him in the relation of a treatise upon pure mathematics to a treatise upon the applied sciences. The English Utilitarians, Volume I. The discovery of scientific method, except in pure mathematics, is a thing of yesterday; speaking broadly, we may say that it dates from Galileo. Mysticism and Logic and Other Essays The most effective way to purify the thoughts is to divert them to a pure and strictly non-sexual subject—e.g., pure mathematics. The Biology, Physiology and Sociology of Reproduction Also Sexual Hygiene with Special Reference to the Male This is pure mathematics, a formal science depending upon logic. The Mind and the Brain Being the Authorised Translation of L'Âme et le Corps They may be a great terror, for example, of a purely geometric figure—a figure from pure geometry, or an example of pure mathematics. Fantasia of the Unconscious In the pure mathematics Nulty is unsurpassed at home or abroad. Continental Monthly , Vol. 6, No. 1, July, 1864 Devoted to Literature and National Policy. The whole doctrine of a priori intuitions, by which Kant explained the possibility of pure mathematics, is wholly inapplicable to mathematics in its present form. Mysticism and Logic and Other Essays Then you have only to walk up a line of gas-lamps and smash this nonsense by pure mathematics. The Napoleon of Notting Hill The greatest certainty is attainable in pure mathematics, which regards only ideal quantities and figures; but biology—the science of life—is utterly obscure. Fables of Infidelity and Facts of Faith Being an Examination of the Evidences of Infidelity The elements of music are rhythm, melody, harmony, and form, and their mastery is no less a mental process than is the study of pure mathematics. The Head Voice and Other Problems Practical Talks on Singing Arago said, that outside of the pure mathematics, he who utters the word "impossible," is wanting in prudence and good sense. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry The nineteenth century, which prided itself upon the invention of steam and evolution, might have derived a more legitimate title to fame from the discovery of pure mathematics. Mysticism and Logic and Other Essays In pure mathematics we seemed hopelessly behind in the race. The Reminiscences of an Astronomer In this quandary, he ought, perhaps, to have abandoned his purpose and to have taken up some problem in pure mathematics, but here the perversity of human nature interposed. The Mayor of Warwick In fact, pure mathematics is the only branch of instruction which includes no information, as the propositions are all based on principles previously assumed. Chambers's Edinburgh Journal, No. 427 Volume 17, New Series, March 6, 1852 These views are so obvious, that I am sure they would have required but a second thought to reconcile the reviewer to their location under the head of pure mathematics. Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson, Volume 4 This science, like most others, was baptised long before it was born; and thus we find writers before the nineteenth century alluding to what they called pure mathematics. Mysticism and Logic and Other Essays He who, except in pure mathematics, pronounces the word impossible, is deficient in prudence. Biographies of Distinguished Scientific Men After some time, electrical theory was relieved from this reproach, mainly in consequence of the progress which astronomy had occasioned in pure mathematics. Essays on Education and Kindred Subjects Everyman's Library I felt it even in pure mathematics, still more was it the case in applied mathematics, and most of all in experimental physics. Autobiography of Friedrich Froebel translated and annotated by Emilie Michaelis ... and H. Keatley Moore. The reviewer expresses doubt, rather than decision, on our placing military and naval architecture in the department of pure mathematics. Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson, Volume 4 We start, in pure mathematics, from certain rules of inference, by which we can infer that if one proposition is true, then so is some other proposition. Mysticism and Logic and Other Essays We consider it quite possible to bring down to ordinary capacities even the truths of pure mathematics, by the substitution of a less general and precise species of evidence. The Mirror of Literature, Amusement, and Instruction Volume 12, No. 333, September 27, 1828 Hipparchus, before making his solar and lunar tables, had to discover rules for calculating the relations between the sides and angles of triangles—trigonometry a subdivision of pure mathematics. Essays on Education and Kindred Subjects Everyman's Library The work of men like Cantor, Dedekind, Frege, Whitehead, Russell, is providing us with an almost unexceptional theory of the first principles required for pure mathematics. Recent Developments in European Thought But one cannot say the same of incredulity, and he that uses the word impossible outside of pure mathematics is lacking in prudence. The Magician Now the fact is that, though there are indefinables and indemonstrables in every branch of applied mathematics, there are none in pure mathematics except such as belong to general logic. Mysticism and Logic and Other Essays From the Greeks we derive literature and the arts, philosophy and pure mathematics; also the more urbane portions of our social outlook. The Problem of China An open book, a treatise on some abstruse question of pure mathematics, lay on the table by his side. Punch, or the London Charivari, Volume 99, December 27, 1890 Mechanics has been defined as the application of pure mathematics to produce or modify motion in inferior bodies; what could be more apt? Two Thousand Miles on an Automobile Being a Desultory Narrative of a Trip Through New England, New York, Canada, and the West, By "Chauffeur" Arago is said to have answered, "He who, outside of pure mathematics, says a thing is impossible, speaks without reason." Four-Dimensional Vistas This problem derives its difficulty from the attempt to accommodate to the roughness and vagueness of the real world some system possessing the logical clearness and exactitude of pure mathematics. Mysticism and Logic and Other Essays 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 Atlantic Monthly, Volume 03, No. 20, June, 1859 Thus the main question, How are synthetic judgments a priori possible? divides into the subordinate questions, How is pure mathematics possible? History of Modern Philosophy From Nicolas of Cusa to the Present Time Since bombs are your means of expression, it would be really telling if one could throw a bomb into pure mathematics. The Secret Agent a Simple Tale But, if in the case of pure mathematics, we are exposed to the chances of error and delusion, it is much worse with mixed mathematics. Thoughts on Man, His Nature, Productions and Discoveries Interspersed with Some Particulars Respecting the Author Bergson apparently holds that capacity, for this kind of knowledge is less explicable by the struggle for existence than, for example, capacity for pure mathematics. Mysticism and Logic and Other Essays To persuade you to an act which would shame a life consecrated entirely to the highest speculations of pure mathematics.” Topsy-Turvy He asked me if Mrs. Somerville was now occupied with pure mathematics. Maria Mitchell: Life, Letters, and Journals Professor Cayley has devoted his life to the advancement of pure mathematics. The British Association's Visit to Montreal, 1884 : letters All pure mathematics is a priori, like logic. The Problems of Philosophy But when at last they have been found, they are seen to be few in number, and to be the sole source of everything in pure mathematics. Mysticism and Logic and Other Essays His French education had not fitted him for the examinations of the Senate house; but, in pure mathematics, we have been assured by some of his competitors that he had very few equals. The Diary and Letters of Madame D'Arblay — Volume 1 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 his superior. Thomas Hariot, the Mathematician, the Philosopher and the Scholar The Association learned last year at Southport what a glorious realm of beauty there was in pure mathematics. The British Association's Visit to Montreal, 1884 : letters Thus he was led to the conclusion that all pure mathematics, though a priori, is synthetic; and this conclusion raised a new problem of which he endeavoured to find the solution. The Problems of Philosophy It is simply a matter of pure mathematics practically applied. The War Terror There are, in addition to transcendental philosophy, only two pure sciences of reason; the one with a speculative, the other with a practical content—pure mathematics and pure ethics. The Critique of Pure Reason No evidence is forthcoming that he was ever a married man, but that he occasionally let himself down from pure mathematics and high philosophy and amused himself with anagrams is plain enough. Thomas Hariot, the Mathematician, the Philosopher and the Scholar He's taking pure mathematics and I'm taking constitutional history. A Portrait of the Artist as a Young Man This embraces pure mathematics and the methods of science in their widest range. Side-Lights on Astronomy and Kindred Fields of Popular Science Yet Paine represents the turning-point of the historical freethinking movement; he renounced the 'a priori' method, refused to pronounce anything impossible outside pure mathematics, rested everything on evidence, and really founded the Huxleyan school. Writings of Thomas Paine — Volume 4 (1794-1796): the Age of Reason If this be demurred to, it matters not; I will then limit my assertion to pure mathematics, the very conception of which implies that it consists of knowledge altogether non-empirical and a priori. The Critique of Pure Reason The third class have pure mathematics, analytical Geometry, descriptive geometry, and the principles of shades, shadows, and perspective, from 8 to 11 A.M. daily. The Colored Cadet at West Point Autobiography of Lieut. Henry Ossian Flipper, first graduate of color from the U. S. Military Academy From that treatise he deliberately expunged whatever was favourable to the study of pure mathematics, and inserted several keen reflections on the ardent votaries of that study. Critical and Historical Essays — Volume 2 Although it was in pure mathematics that he ultimately won his greatest fame, yet he always maintained and maintained with justice, that he had ample claims to the title of an astronomer. Great Astronomers 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. The Lesser Bourgeoisie Of this we find a striking example in the cognitions of space and its relations, which form the foundation of pure mathematics. The Critique of Pure Reason The fourth class have pure mathematics, and algebra, daily from 8 to 11 A.M., and French also, daily, from 2 to 4 P.M. The Colored Cadet at West Point Autobiography of Lieut. Henry Ossian Flipper, first graduate of color from the U. S. Military Academy His French education had not fitted him for the examinations of the Senate House; but, in pure mathematics, we have been assured by some of his competitors that he had very few equals. Critical and Historical Essays — Volume 2 The modern mathematician will readily sympathise with Plato's delight in the properties of pure mathematics. The Republic With respect to pure mathematics this remark may be made: Its cultivation does not demand appliances that are beyond the reach of most individuals. History of the Conflict Between Religion and Science Hence it is absurd to have an opinion in pure mathematics; we must know, or abstain from forming a judgement altogether. The Critique of Pure Reason |
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