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

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發(fā)表于 2025-3-21 19:45:08 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Essays on G?del’s Reception of Leibniz, Husserl, and Brouwer
編輯Mark Atten
視頻videohttp://file.papertrans.cn/316/315310/315310.mp4
概述Draws extensively on G?del‘s archive.Analyses historical and systematical aspects of G?del‘s philosophical project.Evaluates G?del‘s use of phenomenology and challenges recent interpretations.Includes
叢書名稱Logic, Epistemology, and the Unity of Science
圖書封面Titlebook: Essays on G?del’s Reception of Leibniz, Husserl, and Brouwer;  Mark Atten Book 2015 Springer International Publishing Switzerland 2015 Edmu
描述.This volume tackles G?del‘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 G?del‘s use of Leibniz, Husserl and Brouwer. Far from considering past philosophers irrelevant to actual systematic concerns, G?del 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 G?del‘s attempt to go far beyond intuitionism..The four central essays are `Monads and sets‘, `On the philosophical development of Kurt G?del‘, `G?del and intuitionism‘, and `Construction and constitution in mathematics‘. The first analyses and criticises G?del‘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
關(guān)鍵詞Edmund Husserl; Gottfried Wilhelm von Leibniz; Kurt G?del; 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
The information of publication is updating

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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
板凳
發(fā)表于 2025-3-22 00:38:05 | 只看該作者
Monads and Sets: On G?del, Leibniz, and the Reflection Principle the mathematical and philosophical background to G?del’s argument, reconstruct the proposed analogy in detail, and argue that it has no justificatory force. The paper also provides further support for G?del’s idea that the monadology needs to be reconstructed phenomenologically, by showing that the
地板
發(fā)表于 2025-3-22 07:49:05 | 只看該作者
G?del’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 G?del’s revision of the Dialectica Interpretation.
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發(fā)表于 2025-3-23 01:41:41 | 只看該作者
G?del and Intuitionismn G?del’s technical work. Then it is argued that the closest rapprochement of G?del 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 G?del already thought of t
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發(fā)表于 2025-3-23 07:43:01 | 只看該作者
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 G?del’s project of founding classical mathematics on transcendental phenomenology. The problem for
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