| 书目名称 | Mathematical Epistemology and Psychology | | 编辑 | Evert W. Beth,Jean Piaget | | 视频video | | | 丛书名称 | Synthese Library | | 图书封面 |  | | 描述 | One of the controversial philosophical issues of recent years has been the question of the nature of logical and mathematical entities. Platonist or linguistic modes of explanation have become fashionable, whilst abstrac tionist and constructionist theories have ceased to be so. Beth and Piaget approach this problem in their book from two somewhat different points of view. Beth‘s approach is largely historico-critical, although he discusses the nature of heuristic thinking in mathematics, whilst that of Piaget is psycho-genetic. The major purpose of this introduction is to summarise some of the main points of their respective arguments. In the first part of this book Beth makes a detailed study of the history of philosophical thinking about mathematics, and draws our attention to the important role played by the Aristotelian methodology of the demon strative sciences. This, he tells us, is characterised by three postulates: (a) deductivity, (b) self-evidence, and (c) reality. The last postulate asserts that the primitive notions of a demonstrative science must have reference to a domain of real entities in order to have significance. On the Aristote lian view discursive reasonin | | 出版日期 | Book 1974 | | 关键词 | Plato; epistemological problem; epistemology; reason | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-2193-6 | | isbn_softcover | 978-90-481-8328-9 | | isbn_ebook | 978-94-017-2193-6Series ISSN 0166-6991 Series E-ISSN 2542-8292 | | issn_series | 0166-6991 | | copyright | Springer Science+Business Media Dordrecht 1974 |
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发表于 2025-3-21 16:03:56
