Church's Thesis After 70 Years
eBook - PDF

Church's Thesis After 70 Years

  1. 551 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Church's Thesis After 70 Years

About this book

Church's Thesis (CT) was first published by Alonzo Church in 1935. CT is a proposition that identifies two notions: an intuitive notion of a effectively computable function defined in natural numbers with the notion of a recursive function. Despite of the many efforts of prominent scientists, Church's Thesis has never been falsified. There exists a vast literature concerning the thesis. The aim of the book is to provide one volume summary of the state of research on Church's Thesis. These include the following: different formulations of CT, CT and intuitionism, CT and intensional mathematics, CT and physics, the epistemic status of CT, CT and philosophy of mind, provability of CT and CT and functional programming.

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Yes, you can access Church's Thesis After 70 Years by Adam Olszewski, Jan Wolenski, Robert Janusz, Adam Olszewski,Jan Wolenski,Robert Janusz in PDF and/or ePUB format, as well as other popular books in Philosophy & Language in Philosophy. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2013
Print ISBN
9783110324945
eBook ISBN
9783110325461
Edition
1
Topic
Philosophy
Subtopic
Language in Philosophy

Table of contents

  1. Preface
  2. Darren Abramson€Church’s Thesis and Philosophy of Mind
  3. Andreas Blass, Yuri Gurevich€Algorithms: A Quest for Absolute Definitions
  4. Douglas S. Bridges€Church’s Thesis and Bishop’s Constructivism
  5. Selmer Bringsjord, Konstantine Arkoudas€On the Provability, Veracity, and AI-Relevance of the Church–Turing Thesis
  6. Carol E. Cleland€The Church–Turing Thesis. A Last Vestige of a Failed Mathematical Program
  7. B. Jack Copeland€Turing’s Thesis
  8. Hartmut Fitz€Church’s Thesis and Physical Computation
  9. Janet Folina€Church’s Thesis and the Variety of Mathematical Justifications
  10. Andrew Hodges€Did Church and Turing Have a Thesis about Machines?
  11. Leon Horsten€Formalizing Church’s Thesis
  12. Stanislaw Krajewski€Remarks on Church’s Thesis and Gödel’s Theorem
  13. Charles McCarty€Thesis and Variations
  14. Elliott Mendelson€On the Impossibility of Proving the “Hard-Half” of Church’s Thesis
  15. Roman Murawski, Jan Wolenski€The Status of Church’s Thesis
  16. Jerzy Mycka€Analog Computation and Church’s Thesis
  17. Piergiorgio Odifreddi€Kreisel’s Church
  18. Adam Olszewski€Church’s Thesis as Formulated by Church — An Interpretation
  19. Oron Shagrir€Gö del on Turing on Computability
  20. Stewart Shapiro€Computability, Proof, and Open-Texture
  21. Wilfried Sieg€Step by Recursive Step: Church’s Analysis of Effective Calculability
  22. Karl Svozil€Physics and Metaphysics Look at Computation
  23. David Turner€Church’s Thesis and Functional Programming
  24. Index