69Accesses
1Citation
This is a preview of subscription content,log in via an institution to check access.
Access this article
Subscribe and save
- Starting from 10 chapters or articles per month
- Access and download chapters and articles from more than 300k books and 2,500 journals
- Cancel anytime
Buy Now
Price includes VAT (Japan)
Instant access to the full article PDF.
References
Cholak, P. A.,C. G. Jockusch, andT. A. Slaman, On the strength of Ramsey’s theorem for pairs,The Journal of Symbolic Logic 66(1): 1–55, 2001.
Chong, C. T.,T. A. Slaman, andY. Yang, The inductive strength of Ramsey’s theorem for pairs,Advances in Mathematics 308: 121–141, 2017.
Hirst, J. L.,Combinatorics in Subsystems of Second Order Arithmetic. Ph.D. thesis, Pennsylvania State University, 1987.
Jockusch, C. G., Ramsey’s theorem and recursion theory,The Journal of Symbolic Logic 37(2): 268–280, 1972.
Jockusch, C. G., andR. I. Soare,\(\Pi ^0_1\) classes and degrees of theories,Transactions of the American Mathematical Society 361: 5805–5837, 1972.
Liu, J.,\({{\sf RT}}^2_2\),The Journal of Symbolic Logic 77(2): 609–620, 2012.
Patey, L., andK. Yokoyama, The proof-theoretic strength of Ramsey’s theorem for pairs and two colors, 2016.arXiv:1601.00050v3
Seetapun, D., andT. A. Slaman, On the Strength of Ramsey’s Theorem,Notre Dame Journal of Formal Logic 36(4): 570–582, 1995.
Simpson, S. G.,Subsystems of Second Order Arithmetic, 2nd edn., Cambridge University Press, Cambridge, 2009.
Specker, E., Ramsey’s Theorem does not hold in recursive set theory, in R. O. Gandy, and C. M. E. Yates, (eds.),Logic Colloquium ’69, vol. 61 ofStudies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1971, pp. 439–442.
Author information
Authors and Affiliations
School of Mathematics, University of Bristol, Bristol, BS8 1TW, UK
Benedict Eastaugh
- Benedict Eastaugh
Search author on:PubMed Google Scholar
Corresponding author
Correspondence toBenedict Eastaugh.
Rights and permissions
About this article
Cite this article
Eastaugh, B. Book Reviews.Stud Logica105, 873–879 (2017). https://doi.org/10.1007/s11225-017-9740-1
Published:
Issue date:
Share this article
Anyone you share the following link with will be able to read this content:
Sorry, a shareable link is not currently available for this article.
Provided by the Springer Nature SharedIt content-sharing initiative