| 书目名称 | Intuitionistic Proof Versus Classical Truth | | 副标题 | The Role of Brouwer’ | | 编辑 | Enrico Martino | | 视频video | http://file.papertrans.cn/475/474544/474544.mp4 | | 概述 | Offers a new analysis of the role of Brouwer’s creative subject.Details realistic aspects of the idealization of the creative subject.Examines the hidden role of acts of choice even in classical logic | | 丛书名称 | Logic, Epistemology, and the Unity of Science | | 图书封面 |  | | 描述 | .This book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring fifteen papers – both new and previously published – it offers a fresh analysis of concepts developed by the mathematician and philosopher L.E.J. Brouwer, the founder of intuitionism..The author explores Brouwer’s idealization of the creative subject as the basis for intuitionistic truth, and in the process he also discusses an important, related question: to what extent does the intuitionistic perspective succeed in avoiding the classical realistic notion of truth? The papers detail realistic aspects in the idealization of the creative subject and investigate the hidden role of choice even in classical logic and mathematics, covering such topics as bar theorem, type theory, inductive evidence, Beth models, fallible models, and more. In addition, the author offers a critical analysis of the response of key mathematicians and philosophers to Brouwer’s work. These figures includeMichael Dummett, Saul Kripke, Per Martin-Löf, and Arend Heyting..This book appeals to researchers and graduate students with an interest in philosophy of mathematics, linguistics, and mathematics.. | | 出版日期 | Book 2018 | | 关键词 | Informal Intuitionistic Proof; Creative Subject; Bar Theorem; Type Theory; Constructivism; Inductive Evid | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-74357-8 | | isbn_softcover | 978-3-030-08971-9 | | isbn_ebook | 978-3-319-74357-8Series ISSN 2214-9775 Series E-ISSN 2214-9783 | | issn_series | 2214-9775 | | copyright | Springer International Publishing AG 2018 |
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