| 書目名稱 | Feferman on Foundations | | 副標題 | Logic, Mathematics, | | 編輯 | Gerhard J?ger,Wilfried Sieg | | 視頻video | http://file.papertrans.cn/342/341677/341677.mp4 | | 概述 | Examines Feferman’s work in mathematical as well as specific methodological and philosophical issues.Critically examines Feferman’s work and, in part, actively expands upon concrete mathematical proje | | 叢書名稱 | Outstanding Contributions to Logic | | 圖書封面 |  | | 描述 | This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community..With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by G?del’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory..In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathe | | 出版日期 | Book 2017 | | 關鍵詞 | G?del, Minds and Machines; foundations of category theory; model theory; new axioms and the continuum p | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-63334-3 | | isbn_softcover | 978-3-030-09691-5 | | isbn_ebook | 978-3-319-63334-3Series ISSN 2211-2758 Series E-ISSN 2211-2766 | | issn_series | 2211-2758 | | copyright | Springer International Publishing AG, part of Springer Nature 2017 |
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