After Godel: Platonism And Rationalism In Mathematics And Logic

After Godel: Platonism And Rationalism In Mathematics And Logic

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Richard Tieszen Presents An Analysis, Development, And Defense Of A Number Of Central Ideas In Kurt Godel'S Writings On The Philosophy And Foundations Of Mathematics And Logic. Tieszen Structures The Argument Around Godel'S Three Philosophical Heroes Plato, Leibniz, And Husserl And His Engagement With Kant, And Supplements Close Readings Of Godel'S Texts On Foundations With Materials From Godel'S Nachlass And From Hao Wang'S Discussions With Godel. As Well As Providing Discussions Of Godel'S Views On The Philosophical Significance Of His Technical Results On Completeness, Incompleteness, Undecidability, Consistency Proofs, Speedup Theorems, And Independence Proofs, Tieszen Furnishes A Detailed Analysis Of Godel'S Critique Of Hilbert And Carnap, And Of His Subsequent Turn To Husserl'S Transcendental Philosophy In 1959. On This Basis, A New Type Of Platonic Rationalism That Requires Rational Intuition, Called 'Constituted Platonism', Is Developed And Defended. Tieszen Shows How Constituted Platonism Addresses The Problem Of The Objectivity Of Mathematics And Of The Knowledge Of Abstract Mathematical Objects. Finally, He Considers The Implications Of This Position For The Claim That Human Minds ('Monads') Are Machines, And Discusses The Issues Of Pragmatic Holism And Rationalism.

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Frequently Asked Questions

  • Q: What is the main focus of 'After Godel' by Richard Tieszen? A: The book analyzes central ideas in Kurt Godel's writings on the philosophy and foundations of mathematics and logic, focusing on Godel's philosophical heroes such as Plato, Leibniz, and Husserl.
  • Q: What philosophical concepts does Tieszen explore in this book? A: Tieszen explores concepts like constituted platonism, rational intuition, and the implications of Godel's views on the objectivity of mathematics and knowledge of abstract mathematical objects.
  • Q: How does Tieszen defend his arguments in the book? A: He structures his arguments around Godel's philosophical influences and supplements them with close readings of Godel's texts and discussions from Godel's Nachlass.
  • Q: What is 'constituted platonism' as discussed in the book? A: Constituted platonism is a new type of rationalism that requires rational intuition, addressing the objectivity of mathematics and the knowledge of abstract mathematical objects.
  • Q: Who are Godel's philosophical influences mentioned in the book? A: The book discusses Godel's engagement with philosophers such as Plato, Leibniz, Husserl, and Kant.
  • Q: What are some key topics covered by Tieszen in relation to Godel's work? A: Key topics include Godel's technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs.
  • Q: What is the publication date and edition of 'After Godel'? A: The book was published on June 20, 2011, and it is the first edition.
  • Q: What is the condition and binding type of this book? A: The book is in new condition and is available in hardcover binding.
  • Q: How many pages does 'After Godel' have? A: The book contains a total of 245 pages.
  • Q: Who is the author of 'After Godel'? A: The author of the book is Richard Tieszen.