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About this book
Reverse Mathematics is a program of research in the foundations of mathematics, motivated by the foundational questions of what are appropriate axioms for mathematics, and what are the logical strengths of particular axioms and particular theorems. The book contains 24 original papers by leading researchers.
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Table of contents
- Cover
- Half Title
- Frontmatter
- Title Page
- Copyright Page
- Preface
- Table Of Contents
- Andrew Arana Possible m-diagrams of models of arithmetic
- Jeremy Avigad Weak theories of nonstandard arithmetic and analysis
- Douglas K. Brown Notions of compactness in weak subsystems of second order arithmetic
- Douglas Cenzer and Jeffrey B. Remmel Proof-theoretic strength of the stable marriage theorem and other problems
- Peter A. Cholak, Mariagnese Giusto, Jeffry L. Hirst, and Carl G. Jockusch, Jr. Free sets and reverse mathematics
- C. T. Chong, Richard A. Shore, and Yue Yang Interpreting arithmetic in the r.e. degrees under Σ4-induction
- Rodney G. Downey and Reed Solomon Reverse mathematics, Archimedean classes, and Hahn's Theorem
- António M. Fernandes The Baire category theorem over a feasible base theory
- António M. Fernandes and Fernando Ferreira Basic applications of weak König's lemma in feasible analysis
- Harvey M. Friedman Maximal nonfinitely generated subalgebras
- Harvey M. Friedman Metamathematics of comparability
- Jeffry L. Hirst A note on compactness of countable sets
- Jeffry L. Hirst A survey of the reverse mathematics of ordinal arithmetic
- Jeffry L. Hirst Reverse mathematics and ordinal suprema
- A. James Humphreys Did Cantor need set theory?
- Julia F. Knight Models of arithmetic: quantifiers and complexity
- Ulrich Kohlenbach Higher order reverse mathematics
- Roman Kossak Arithmetic saturation
- Alberto Marcone WQO and BQO theory in subsystems of second order arithmetic
- James H. Schmerl Reverse mathematics and graph coloring: eliminating diagonalization
- James H. Schmerl Undecidable theories and reverse mathematics
- Stephen G. Simpson Π10 sets and models of WKL0
- Kazuyuki Tanaka and Takeshi Yamazaki Manipulating the reals in RCA0
- Takeshi Yamazaki Reverse mathematics and weak systems of 0-1 strings for feasible analysis
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Yes, you can access Reverse Mathematics 2001 by Stephen G. Ross in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.