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Titlebook: Intuitionistic Proof Versus Classical Truth; The Role of Brouwer’ Enrico Martino Book 2018 Springer International Publishing AG 2018 Inform

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發(fā)表于 2025-3-21 16:17:54 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Intuitionistic Proof Versus Classical Truth
副標(biāo)題The Role of Brouwer’
編輯Enrico Martino
視頻videohttp://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
叢書名稱Logic, Epistemology, and the Unity of Science
圖書封面Titlebook: Intuitionistic Proof Versus Classical Truth; The Role of Brouwer’ Enrico Martino Book 2018 Springer International Publishing AG 2018 Inform
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-L?f, 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
關(guān)鍵詞Informal Intuitionistic Proof; Creative Subject; Bar Theorem; Type Theory; Constructivism; Inductive Evid
版次1
doihttps://doi.org/10.1007/978-3-319-74357-8
isbn_softcover978-3-030-08971-9
isbn_ebook978-3-319-74357-8Series ISSN 2214-9775 Series E-ISSN 2214-9783
issn_series 2214-9775
copyrightSpringer International Publishing AG 2018
The information of publication is updating

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Connection Between the Principle of Inductive Evidence and the Bar Theorem,xplaining it properly. Therefore, I shall present here a more adequate treatment of the connection between . and .. In fact, I shall assume acquaintance with Sects.?. and Theorem . of CS and provide a revised version of Theorem ..
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Negationless Intuitionism,or such semantics, strong completeness is restorable. We argue that lawless negationless semantics is a suitable framework for a constructive . interpretation of any second-order formalisable theory (classical or intuitionistic, contradictory or not).
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Negationless Intuitionism,mpleteness of full first-order logic fails. We then consider a .à la. for second-order intuitionistic logic. By using the theory of . we prove that, for such semantics, strong completeness is restorable. We argue that lawless negationless semantics is a suitable framework for a constructive . interp
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