| 书目名称 | The Art of the Intelligible |
| 副标题 | An Elementary Survey |
| 编辑 | John L. Bell |
| 视频video | http://file.papertrans.cn/905/904688/904688.mp4 |
| 丛书名称 | The Western Ontario Series in Philosophy of Science |
| 图书封面 |  |
| 描述 | A compact survey, at the elementary level, of some of the mostimportant concepts of mathematics. Attention is paid to theirtechnical features, historical development and broader philosophicalsignificance. Each of the various branches of mathematics is discussedseparately, but their interdependence is emphasised throughout.Certain topics - such as Greek mathematics, abstract algebra,set theory, geometry and the philosophy of mathematics - arediscussed in detail. Appendices outline from .scratch. the proofsof two of the most celebrated .limitative. results of mathematics:the insolubility of the problem of doubling the cube and trisecting anarbitrary angle, and the Gödel incompleteness theorems.Additional appendices contain brief accounts of smooth infinitesimalanalysis - a new approach to the use of infinitesimals in thecalculus - and of the philosophical thought of the great 20thcentury mathematician Hermann Weyl. ..Readership:. Students and teachers of mathematics, science andphilosophy. The greater part of the book can be read and enjoyed byanyone possessing a good high school mathematics background. |
| 出版日期 | Book 1999 |
| 关键词 | The Philosophy of Mathematics; algebra; mathematics; number concept; philosophy of mathematics; proof; sci |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-011-4209-0 |
| isbn_softcover | 978-1-4020-0007-2 |
| isbn_ebook | 978-94-011-4209-0Series ISSN 1566-659X Series E-ISSN 2215-1974 |
| issn_series | 1566-659X |
| copyright | Springer Science+Business Media Dordrecht 1999 |
|Archiver|手机版|小黑屋|
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