Reverse Mathematics 2001

doi:10.1017/9781316755846

- Get access
  
  Buy a print copy
  
  Check if you have access via personal or institutional login
  
  Log in Register
Cited by 1
Cited by
- 1
Crossref Citations

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Carcassi, Gabriele and Aidala, Christine A. 2022. Reverse Physics: From Laws to Physical Assumptions. Foundations of Physics, Vol. 52, Issue. 2,

CrossRef

Google Scholar

Edited by Stephen G. Simpson, Pennsylvania State University

Publisher:: Cambridge University Press
Online publication date:: March 2017
Print publication year:: 2005
Online ISBN:: 9781316755846
DOI:: https://doi.org/10.1017/9781316755846

Subjects:: Mathematics, Logic, Categories and Sets, Logic, Philosophy, Programming Languages and Applied Logic
Series:: Lecture Notes in Logic (21)

80.00 (GBP)

Digital access for individuals
(PDF download and/or read online)
Add to cart

Added to cart

Digital access for individuals
(PDF download and/or read online)
View cart
Export citation
Buy a print copy

Information

Contents

Metrics

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.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

References

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Reverse Mathematics 2001

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Preface
pp v-viii

Contents
pp ix-x

Possible m-diagrams ofmodels of arithmetic
pp 1-18

Weak theories of nonstandard arithmetic and analysis
pp 19-46

Notions of compactness in weak subsystems of second order arithmetic
pp 47-66

Proof-theoretic strength of the stable marriage theorem and other problems
pp 67-103

Free sets and reversemathematics
pp 104-119

Interpreting arithmetic in the r.e. degrees under Σ4-induction
pp 120-146

Reverse mathematics, Archimedean classes, and Hahn's Theorem
pp 147-163

The Baire category theoremover a feasible base theory
pp 164-174

Basic applications of weak König's lemma in feasible analysis
pp 175-188

Maximal nonfinitely generated subalgebras
pp 189-200

Metamathematics of comparability
pp 201-218

A note on compactness of countable sets
pp 219-221

A survey of the reversemathematics of ordinal arithmetic
pp 222-234

Reversemathematics and ordinal suprema
pp 235-243

Did Cantor need set theory?
pp 244-270

Models of arithmetic: quantifiers and complexity
pp 271-280

Higher order reversemathematics
pp 281-295

Arithmetic saturation
pp 296-302

WQO and BQO theory in subsystems of second order arithmetic
pp 303-330

Reverse mathematics and graph coloring: eliminating diagonalization
pp 331-348

Undecidable theories and reversemathematics
pp 349-351

Π01 sets and models of WKL0
pp 352-378

Manipulating the reals in RCA0
pp 379-393

Reverse mathematics and weak systems of 0-1 strings for feasible analysis
pp 394-401

Metrics

Altmetric attention score

Full text views

Book summary page views

Reverse Mathematics 2001

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views