書目名稱 | Real Numbers, Generalizations of the Reals, and Theories of Continua | 編輯 | Philip Ehrlich | 視頻video | http://file.papertrans.cn/823/822182/822182.mp4 | 叢書名稱 | Synthese Library | 圖書封面 |  | 描述 | Since their appearance in the late 19th century, theCantor--Dedekind theory of real numbers and philosophy of thecontinuum have emerged as pillars of standard mathematical philosophy.On the other hand, this period also witnessed the emergence of avariety of alternative theories of real numbers and correspondingtheories of continua, as well as non-Archimedean geometry,non-standard analysis, and a number of important generalizations ofthe system of real numbers, some of which have been described asarithmetic continua of one type or another. .With the exception of E.W. Hobson‘s essay, which is concerned with theideas of Cantor and Dedekind and their reception at the turn of thecentury, the papers in the present collection are either concernedwith or are contributions to, the latter groups of studies. All thecontributors are outstanding authorities in their respective fields,and the essays, which are directed to historians and philosophers ofmathematics as well as to mathematicians who are concerned with thefoundations of their subject, are preceded by a lengthy historicalintroduction. . | 出版日期 | Book 1994 | 關(guān)鍵詞 | arithmetic; calculus; history of mathematics | 版次 | 1 | doi | https://doi.org/10.1007/978-94-015-8248-3 | isbn_softcover | 978-90-481-4362-7 | isbn_ebook | 978-94-015-8248-3Series ISSN 0166-6991 Series E-ISSN 2542-8292 | issn_series | 0166-6991 | copyright | Springer Science+Business Media Dordrecht 1994 |
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