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Kurt Gödel and the foundations of mathematics : horizons of truth / edited by Matthias Baaz [and others].

Other titles
  • Kurt Gödel & the Foundations of Mathematics
Published
  • Cambridge : Cambridge University Press 2011
Physical description
1 online resource (xxiii, 515 pages) : digital, PDF file(s).
ISBN
  • 1-107-21669-9
  • 1-139-06291-3
  • 1-283-12723-7
  • 1-139-07511-X
  • 9786613127235
  • 0-511-97423-X
  • 1-139-07737-6
  • 1-139-08193-4
  • 1-139-06934-9
  • 1-139-07965-4
Notes
  • English
  • Includes bibliographical references and index.
  • Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents
  • I. Historical Context: Gödel's Contributions and Accomplishments: Gödel's Historical, Philosophical, and Scientific Work: 1. The impact of Gödel's incompleteness theorems on mathematics / Angus Macintyre; 2. Logical hygiene, foundations, and abstractions: diversity among aspects and options / Georg Kreisel; Gödel's Legacy: A Historical Perspective: 3. The reception of Gödel's 1931 incompletabilty theorems by mathematicians, and some logicians, to the early 1960s/ Ivor Grattan-Guinness; 4.dt 'Dozent Gödel will not lecture' / Karl Sigmund; 5. Gödel's thesis: an appreciation / Juliette Kennedy; 6. Lieber Herr Bernays!, Lieber Herr Gödel! Gödel on finitism, constructivity, and Hilbert's program / Solomon Feferman; The Past and Future of Computation: 7. Computation and intractability: echoes of Kurt Gödel / Christos H. Papadimitriou; 8. From the entscheidungsproblem to the personal computer -- and beyond / B. Jack Copeland; Gödelian Cosmology: 9. Gödel, Einstein, Mach, Gamow, and Lanczos: Gödel's remarkable excursion into cosmology / Wolfgang Rindler; 10. Physical unknowables / Karl Svozil -- II. A Wider Vision: The Interdisciplinary, Philosophical, And Theological Implications of Gödel's Work: On the Unknowables: 11. Gödel and physics / John D. Barrow; 12. Gödel, Thomas Aquinas, and the unknowability of God / Denys A. Turner; Gödel and the Mathematics of Philosophy: 13. Gödel's mathematics of philosophy / Piergiorgio Odifreddi; Gödel and Philosophical Theology: 14. Gödel's ontological proof and its variants / Petr Hájek; Gödel and the Human Mind: 15. The Gödel theorem and human nature / Hilary W. Putnam; 16. Gödel, the mind, and the laws of physics / Roger Penrose -- III. New Frontiers: Beyond Gödel's Work in Mathematics and Symbolic Logic: Extending Gödel's Work: 17. Gödel's functional interpretation and its use in current mathematics / Ulrich Kohlenbach; 18. My forty years on his shoulders / Harvey M. Friedman; The Realm of Set Theory: 19. My interaction with Kurt Gödel: the man and his work / Paul J. Cohen; Gödel and the Higher Infinite: 20. The transfinite universe / W. Hugh Woodin; Gödel and Computer Science: 21. The Gödel phenomena in mathematics: a modern view / Avi Wigderson.
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Genre
  • text
Language
  • English
  • This volume commemorates the life, work and foundational views of Kurt Gödel (1906-78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.

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Resource Link: https://eu04.alma.exlibrisgroup.com/view/uresolver/44LIV_INST/openurl?u.ignore_date_coverage=true&portfolio_pid=53358140030007351&Force_direct=true ; Cambridge Core Books

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Resource Link: https://eu04.alma.exlibrisgroup.com/view/uresolver/44LIV_INST/openurl?u.ignore_date_coverage=true&portfolio_pid=53363230910007351&Force_direct=true ; Cambridge Core Books

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Kurt Gödel and the foundations of mathematics : horizons of truth / edited by Matthias Baaz ... [et al.].

Published
  • Cambridge : Cambridge University Press 2011
Physical description
xxiv, 515 p. : digital, PDF file(s).
ISBN
  • 9780511974236
  • 9780521761444
Notes
  • Includes bibliographical references and index.
Subject
Other names
Related item
  • http://libanswers.liverpool.ac.uk/faq/182315
Genre
  • text
Language
  • English
Related Internet Resources
  • "This volume commemorates the life, work, and foundational views of Kurt Gödel (1906-1978), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances, and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology, and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy, and other disciplines for future generations of researchers"--

Holdings information at the University of Liverpool Library

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Link to external resource:

Resource Link: https://doi-org.liverpool.idm.oclc.org/10.1017/CBO9780511974236 ; View this e-book online

Link to external resource:

Resource Link: http://libanswers.liverpool.ac.uk/faq/182315 ; Reading advice (software, printing, accessibility, privacy)

Link to external resource:

Resource Link: https://eu04.alma.exlibrisgroup.com/view/uresolver/44LIV_INST/openurl?u.ignore_date_coverage=true&portfolio_pid=53279990350007351&Force_direct=true

Contact University of Liverpool Library

Kurt Gödel and the foundations of mathematics : horizons of truth / edited by Matthias Baaz ... [et al.].

Published
  • New York : Cambridge University Press 2011
Physical description
xxiii, 515 p. : ill. ; 26 cm.
ISBN
  • 9780521761444
Notes
  • Includes bibliographical references and index.
Subject
Other names
Genre
  • Bibliography
  • Illustrated
  • text
Language
  • English
  • "This volume commemorates the life, work, and foundational views of Kurt Gödel (1906-1978), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances, and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology, and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy, and other disciplines for future generations of researchers"--Provided by publisher.

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