Author: Hubert C. Kennedy Publisher: University of Toronto Press ISBN: 9781487592240 Category : Education Languages : en Pages : 262
Book Description
In the decade before 1900, the Italian mathematician Giuseppe Peano was one of the most original and influential pioneers of modern mathematical logic. He made significant contributions to the development of the foundations of mathematics and the axiomatic method (for example, his postulates for the natural numbers), dimension theory (including the space-filling curve), measure theory, vector analysis, differential equations, and the rigorization of analysis. Several of Peano's works have been translated into other languages; here for the first time is a generous selection of works translated into English. Fifteen articles, one booklet, and parts of two books and one monograph, published between 1883 and 1921, chosen with the interests of mathematicians and logicians in mind, are included. Each selection is preceded by an introductory note. The volume also contains a biographical sketch, a chronological list of Peano's publications (larger by one fifth than any previously published list), and a bibliography on the life and work of Peano. This selection will appeal especially to historians of mathematics and logic, but also to those mathematicians and logicians who wish to know more about how their subject came to be.
Author: H. Kennedy Publisher: Springer Science & Business Media ISBN: 9400989849 Category : History Languages : en Pages : 238
Book Description
All students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.
Author: I.C. Jarvie Publisher: Springer Science & Business Media ISBN: 9401104719 Category : Philosophy Languages : en Pages : 324
Book Description
I suppose Joseph Agassi's best and dearest self-description, his cher ished wish, is to practice what his 1988 book promises: The Gentle Art of Philosophical Polemics. But for me, and for so many who know him, our Agassi is tough-minded, not tender, not so gentle. True to his beloved critical thinking, he is ever the falsificationist, testing himself of course as much as everyone else. How, he asks himself, can he engage others in their own self-critical exploration? Irritate? Question their logic, their facts, their presuppositions, their rationales? Subvert their reasoning, uncover their motives? Help them to lose their balance, but always help them, make them do it to, and for, themselves. Out of their own mouths, and minds, and imagination. A unique teacher, in classroom and out; not for everyone. Agassi is not quite a tight textual Talmudist disputant, not quite the competitor in the marketplace of ideas offered for persuasive sale, not quite the clever cross-examining lawyer advocate, not quite a philosopher-scientist, not a sceptic more than necessary, not quite embat tled in the bloody world but not ever above the battle either . . . but a good deal of all of these, and steeped in intelligence and good will.
Author: William R. Everdell Publisher: University of Chicago Press ISBN: 0226224848 Category : History Languages : en Pages : 514
Book Description
A lively and accessible history of Modernism, The First Moderns is filled with portraits of genius, and intellectual breakthroughs, that richly evoke the fin-de-siècle atmosphere of Paris, Vienna, St. Louis, and St. Petersburg. William Everdell offers readers an invigorating look at the unfolding of an age. "This exceptionally wide-ranging history is chock-a-block with anecdotes, factoids, odd juxtapositions, and useful insights. Most impressive. . . . For anyone interested in learning about late 19th- and early 20th- century imaginative thought, this engagingly written book is a good place to start."—Washington Post Book World "The First Moderns brilliantly maps the beginning of a path at whose end loom as many diasporas as there are men."—Frederic Morton, The Los Angeles Times Book Review "In this truly exciting study of the origins of modernist thought, poet and teacher Everdell roams freely across disciplinary lines. . . . A brilliant book that will prove useful to scholars and generalists for years to come; enthusiastically recommended."—Library Journal, starred review "Everdell has performed a rare service for his readers. Dispelling much of the current nonsense about 'postmodernism,' this book belongs on the very short list of profound works of cultural analysis."—Booklist "Innovative and impressive . . . [Everdell] has written a marvelous, erudite, and readable study."-Mark Bevir, Spectator "A richly eclectic history of the dawn of a new era in painting, music, literature, mathematics, physics, genetics, neuroscience, psychiatry and philosophy."—Margaret Wertheim, New Scientist "[Everdell] has himself recombined the parts of our era's intellectual history in new and startling ways, shedding light for which the reader of The First Moderns will be eternally grateful."—Hugh Kenner, The New York Times Book Review "Everdell shows how the idea of "modernity" arose before the First World War by telling the stories of heroes such as T. S. Eliot, Max Planck, and Georges Serault with such a lively eye for detail, irony, and ambiance that you feel as if you're reliving those miraculous years."—Jon Spayde, Utne Reader
Author: Bertrand Russell Publisher: Taylor & Francis ISBN: 1040238874 Category : Philosophy Languages : en Pages : 937
Book Description
This volume collects together Russell's philosophical writings during the period from 1947-68. For about half of this period Russell worked steadily at philosophy but after the publication of My Philosophical Development in 1959 he retired from academic philosophy for the second time. After that date, only the occasional philosophical piece appeared, as he was preoccupied with political writings. In this volume there are a handful of papers dated later than 1959, and all of these were certainly written by Russell himself.This volume contains Russell's writings on diverse philosophical interests, including autobiographical and self-critical papers, critiques of other philosophers and his controversial opinions on Christianity.
Author: Ivor Grattan-Guinness Publisher: Princeton University Press ISBN: 1400824044 Category : Mathematics Languages : en Pages : 705
Book Description
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
Author: Lyn D. English Publisher: Routledge ISBN: 1135192839 Category : Education Languages : en Pages : 830
Book Description
The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.
Author: Hubert C. Kennedy
Author: Jan Łukasiewicz
Author: H. Kennedy
Author: Giuseppe Peano
Author: I.C. Jarvie
Author: William R. Everdell
Author: Alfred North Whitehead
Author: Bertrand Russell
Author: Ivor Grattan-Guinness
Author: Lyn D. English