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Titlebook: Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer; Mark Atten Book 2015 Springer International Publishing Switzerland 2015 Edmu

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发表于 2025-3-21 19:45:08 | 显示全部楼层 |阅读模式
书目名称Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer
编辑Mark Atten
视频video
概述Draws extensively on Gödel‘s archive.Analyses historical and systematical aspects of Gödel‘s philosophical project.Evaluates Gödel‘s use of phenomenology and challenges recent interpretations.Includes
丛书名称Logic, Epistemology, and the Unity of Science
图书封面Titlebook: Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer;  Mark Atten Book 2015 Springer International Publishing Switzerland 2015 Edmu
描述.This volume tackles Gödel‘s two-stage project of first using Husserl‘s transcendental phenomenology to reconstruct and develop Leibniz‘ monadology, and then founding classical mathematics on the metaphysics thus obtained. The author analyses the historical and systematic aspects of that project, and then evaluates it, with an emphasis on the second stage..The book is organised around Gödel‘s use of Leibniz, Husserl and Brouwer. Far from considering past philosophers irrelevant to actual systematic concerns, Gödel embraced the use of historical authors to frame his own philosophical perspective. The philosophies of Leibniz and Husserl define his project, while Brouwer‘s intuitionism is its principal foil: the close affinities between phenomenology and intuitionism set the bar for Gödel‘s attempt to go far beyond intuitionism..The four central essays are `Monads and sets‘, `On the philosophical development of Kurt Gödel‘, `Gödel and intuitionism‘, and `Construction and constitution in mathematics‘. The first analyses and criticises Gödel‘s attempt to justify, by an argument from analogy with the monadology, the reflection principle in set theory. It also provides further support for
出版日期Book 2015
关键词Edmund Husserl; Gottfried Wilhelm von Leibniz; Kurt Gödel; L; E; J; Brouwer; Platonism; intuitionism; monado
版次1
doihttps://doi.org/10.1007/978-3-319-10031-9
isbn_softcover978-3-319-37657-8
isbn_ebook978-3-319-10031-9Series ISSN 2214-9775 Series E-ISSN 2214-9783
issn_series 2214-9775
copyrightSpringer International Publishing Switzerland 2015
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发表于 2025-3-21 20:42:56 | 显示全部楼层
A Note on Leibniz’s Argument Against Infinite WholesThe refutation of this argument by Russell and others is equally well known. In this note, I argue (against positions recently defended by Arthur, Breger, and Brown) for the following three claims: (1) Leibniz himself had all the means to devise and accept this refutation; (2) This refutation does n
发表于 2025-3-22 00:38:05 | 显示全部楼层
Monads and Sets: On Gödel, Leibniz, and the Reflection Principle the mathematical and philosophical background to Gödel’s argument, reconstruct the proposed analogy in detail, and argue that it has no justificatory force. The paper also provides further support for Gödel’s idea that the monadology needs to be reconstructed phenomenologically, by showing that the
发表于 2025-3-22 07:49:05 | 显示全部楼层
Gödel’s Dialectica Interpretation and Leibnizd but in which one immediately notices the longhand name ‘Leibniz’. When transcribed and put into context, the note allows one to show that Leibniz was a source of inspiration for Gödel’s revision of the Dialectica Interpretation.
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Gödel and Intuitionismn Gödel’s technical work. Then it is argued that the closest rapprochement of Gödel to intuitionism is seen in the development of the Dialectica Interpretation, during which he came to accept the notion of computable functional of finite type as primitive. It is shown that Gödel already thought of t
发表于 2025-3-23 07:43:01 | 显示全部楼层
Construction and Constitution in Mathematicsect coincide. Various objections to Brouwer’s intuitionism that have been raised in recent phenomenological literature (by Hill, Rosado Haddock, and Tieszen) are addressed. Then I present objections to Gödel’s project of founding classical mathematics on transcendental phenomenology. The problem for
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