Reverse Mathematics 2001
eBook - PDF

Reverse Mathematics 2001

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

Reverse Mathematics 2001

About this 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.

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Yes, you can access Reverse Mathematics 2001 by Stephen G. Simpson in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Preface
  7. Table of contents
  8. POSSIBLE m-DIAGRAMS OF MODELS OF ARITHMETIC
  9. WEAK THEORIES OF NONSTANDARD ARITHMETIC AND ANALYSIS
  10. NOTIONS OF COMPACTNESS IN WEAK SUBSYSTEMS OF SECOND ORDER ARITHMETIC
  11. PROOF-THEORETIC STRENGTH OF THE STABLE MARRIAGE THEOREM AND OTHER PROBLEMS
  12. FREE SETS AND REVERSE MATHEMATICS
  13. INTERPRETING ARITHMETIC IN THE R.E. DEGREES UNDER Σ[sub(4)]-INDUCTION
  14. REVERSE MATHEMATICS, ARCHIMEDEAN CLASSES, AND HAHN’S THEOREM
  15. THE BAIRE CATEGORY THEOREM OVER A FEASIBLE BASE THEORY
  16. BASIC APPLICATIONS OF WEAK KONIG’S LEMMA IN FEASIBLE ANALYSIS
  17. MAXIMAL NONFINITELY GENERATED SUBALGEBRAS
  18. METAMATHEMATICS OF COMPARABILITY
  19. A NOTE ON COMPACTNESS OF COUNTABLE SETS
  20. A SURVEY OF THE REVERSE MATHEMATICS OF ORDINAL ARITHMETIC
  21. REVERSE MATHEMATICS AND ORDINAL SUPREMA
  22. DID CANTOR NEED SET THEORY?
  23. MODELS OF ARITHMETIC: QUANTIFIERS AND COMPLEXITY
  24. HIGHER ORDER REVERSE MATHEMATICS
  25. ARITHMETIC SATURATION
  26. WQO AND BQO THEORY IN SUBSYSTEMS OF SECOND ORDER ARITHMETIC
  27. REVERSE MATHEMATICS AND GRAPH COLORING: ELIMINATING DIAGONALIZATION
  28. UNDECIDABLE THEORIES AND REVERSE MATHEMATICS
  29. Π[sup(0)sub(1)] SETS AND MODELS OF WKL[sub(0)]
  30. MANIPULATING THE REALS IN RCA[sub(0)]
  31. REVERSE MATHEMATICS AND WEAK SYSTEMS OF 0-1 STRINGS FOR FEASIBLE ANALYSIS