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CR9780511756306
UkCbUP
100422s2014||||enk o ||1 0|eng|d
9780511756306
9781107002661
(Sirsi) a792475
eng
511.3
23
Interpreting Gödel :
critical essays
[E-Book] /
edited by Juliette Kennedy, University of Helsinki.
Cambridge :
Cambridge University Press,
2014
(CUP)
CUP20200108
1 online resource (xi, 279 pages)
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1. Introduction: Gödel and analytic philosophy: how did we get here? / Juliette Kennedy -- Part I. Gödel on Intuition: 2. Intuitions of three kinds in Gödel's views on the continuum / John P. Burgess; 3. Gödel on how to have your mathematics and know it too / Janet Folina -- Part II. The Completeness Theorem: 4. Completeness and the ends of axiomatization / Michael Detlefsen; 5. Logical completeness, form, and content: an archaeology / Curtis Franks -- Part III. Computability and Analyticity: 6. Gödel's 1946 Princeton bicentennial lecture: an appreciation / Juliette Kennedy; 7. Analyticity for realists / Charles Parsons -- Part IV. The Set-theoretic Multiverse: 8. Gödel's program / John R. Steel; 9. Multiverse set theory and absolutely undecidable propositions / Jouko Väänänen -- Part V. The Legacy: 10. Undecidable problems: a sampler / Bjorn Poonen; 11. Reflecting on logical dreams / Saharon Shelah.
The logician Kurt Gödel (1906-1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.
Logic, Symbolic and mathematical.
Mathematics
Philosophy.
Kennedy, Juliette,
editor
https://doi.org/10.1017/CBO9780511756306
Volltext
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