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Bücher Englische Bücher Wissen & Bildung Geisteswissenschaft, Kunst, Musik Philosophie 20. & 21. Jahrhundert Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer
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Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer
Mark van Atten (Gebundene Ausgabe, Englisch)
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Beschreibung
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 Gödel's idea that the monadology needs to be reconstructed phenomenologically, by showing that the unsupplemented monadology is not able to found mathematics directly. The second studies Gödel's reading of Husserl, its relation to Leibniz' monadology, and its influence on his publishe d writings. The third discusses how on various occasions Brouwer's intuitionism actually inspired Gödel's work, in particular the Dialectica Interpretation. The fourth addresses the question whether classical mathematics admits of the phenomenological foundation that Gödel envisaged, and concludes that it does not. The remaining essays provide further context. The essays collected here were written and published over the last decade. Notes have been added to record further thoughts, changes of mind, connections between the essays, and updates of references. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
05.12.2014
Sprache
Englisch
EAN
9783319100302
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Logic, Epistemology, and the Unity of Science
Sonderedition
Nein
Autor
Mark van Atten
Seitenanzahl
328
Einbandart
Gebundene Ausgabe
Schlagwörter
Edmund Husserl, Gottfried Wilhelm von Leibniz, Kurt Gödel, L.E.J. Brouwer, Platonism, intuitionism, monadology, phenomenology of mathematics, philosophy of mathematics
Thema-Inhalt
QDHR5 - Phänomenologie und Existenzphilosophie
PBCD - Mathematik: Logik
PBC - Mathematische Grundlagen
PDA - Wissenschaftsphilosophie und -theorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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