Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer

Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer by Mark van Atten.

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 th...

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Bibliographic Details
Main Author: van Atten, Mark (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Logic, Epistemology, and the Unity of Science, 35
Springer eBook Collection.
Subjects:
Phenomenology .
Mathematical logic.
Philosophy and science.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Chapter 1. Introduction
  • Part I Gödel and Leibniz
  • Chapter 2 A note on Leibniz’s argument against infinite wholes
  • Chapter 3. Monads and sets: on Gödel, Leibniz, and the Reflection Principle
  • Chapter 4. Gödel’s Dialectica Interpretation and Leibniz
  • Part II Gödel and Husserl
  • Chapter 5. Phenomenology of mathematics
  • Chapter 6. On the philosophical development of Kurt Gödel (with Juliette Kennedy)
  • Chapter 7. Gödel, mathematics, and possible worlds
  • Chapter 8. Two draft letters from Gödel on self-knowledge of Reason
  • Part III Gödel and Brouwer
  • Chapter 9. Gödel and Brouwer: two rivalling brothers
  • Chapter 10. Mysticism and mathematics: Brouwer, Gödel, and the common core thesis (with Robert Tragesser)
  • Chapter 11. Gödel and intuitionism
  • Part IV A partial assessment
  • Chapter 12. Construction and constitution in mathematics. <.

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