Reverse Mathematics 2001
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Reverse Mathematics 2001: (Series Number 21 Lecture Notes in Logic)

Reverse Mathematics 2001: (Series Number 21 Lecture Notes in Logic)

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About the Book

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Reverse mathematics is a program of research in the foundations of mathematics, motivated by two foundational questions: 'what are appropriate axioms for mathematics?' and 'what are the logical strengths of particular axioms and particular theorems?' This volume, the twenty-first publication in the Lecture Notes in Logic series, contains twenty-four original research papers from respected authors that present exciting new developments in reverse mathematics and subsystems of second order arithmetic since 1998.

Table of Contents:
Preface; 1. Possible m-diagrams of models of arithmetic Andrew Arana; 2. Weak theories of nonstandard arithmetic and analysis Jeremy Avigad; 3. Notions of compactness in weak subsystems of second order arithmetic Douglas K. Brown; 4. Proof theoretic strength of the stable marriage theorem and other problems Douglas Cenzer and Jeffrey B. Remmel; 5. Free sets and reverse mathematics Peter A. Cholak, Mariagnese Giusto, Jeffry L. Hirst and Carl G. Jockusch, Jr; 6. Interpreting arithmetic in the r.e. degrees under Σ4-induction C. T. Chong, Richard A. Shore and Yue Yang; 7. Reverse mathematics, Archimedean classes, and Hahn's theorem Rodney G. Downey and Reed Solomon; 8. The Baire category theorem over a feasible base theory António M. Fernandes; 9. Basic applications of weak König's lemma in feasible analysis António M. Fernandes and Fernando Ferreira; 10. Maximal nonfinitely generated subalgebras Harvey M. Friedman; 11. Metamathematics of comparability Harvey M. Friedman; 12. A note on compactness of countable sets Jeffry L. Hirst; 13. A survey of the reverse mathematics of ordinal arithmetic Jeffry L. Hirst; 14. Reverse mathematics and ordinal suprema Jeffry L. Hirst; 15. Did Cantor need set theory? A. James Humphreys; 16. Models of arithmetic: quantifiers and complexity Julia F. Knight; 17. Higher order reverse mathematics Ulrich Kohlenbach; 18. Arithmetic saturation Roman Kossak; 19. WQO and BQO theory in subsystems of second order arithmetic Alberto Marcone; 20. Reverse mathematics and graph coloring: eliminating diagonalization James H. Schmerl; 21. Undecidable theories and reverse mathematics James H. Schmerl; 22. Π01 and models of WKL0 Stephan G. Simpson; 23. Manipulating the reals in RCA0 Kazuyuki Tanaka and Takeshi Yamazaki; 24. Reverse mathematics and weak systems of 0-1 strings for feasible analysis Takeshi Yamazaki.


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Product Details
  • ISBN-13: 9781316755846
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press (Virtual Publishing)
  • Language: English
  • ISBN-10: 1316755843
  • Publisher Date: 31 Mar 2017
  • Binding: Digital download and online
  • Series Title: Series Number 21 Lecture Notes in Logic


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