On the Hamkins approximation property

Annals of Pure and Applied Logic 144 (1-3):126-129 (2006)
  Copy   BIBTEX


We give a short proof of a lemma which generalizes both the main lemma from the original construction in the author’s thesis of a model with no ω2-Aronszajn trees, and also the “Key Lemma” in Hamkins’ gap forcing theorems. The new lemma directly yields Hamkins’ newer lemma stating that certain forcing notions have the approximation property



    Upload a copy of this work     Papers currently archived: 77,712

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

A Natural Model of the Multiverse Axioms.Victoria Gitman & Joel David Hamkins - 2010 - Notre Dame Journal of Formal Logic 51 (4):475-484.
Nonlocality and the Rotating Wave Approximation.A. A. Clerk & J. E. Sipe - 1998 - Foundations of Physics 28 (4):639-651.
Approximation Representations for Δ2 Reals.George Barmpalias - 2004 - Archive for Mathematical Logic 43 (8):947-964.
Towards an Expanded Epistemology for Approximations.Jeffry L. Ramsey - 1992 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:154 - 164.
On the Computational Complexity of Best L1-approximation.Paulo Oliva - 2002 - Mathematical Logic Quarterly 48 (S1):66-77.
Truth approximation via abductive belief change.Gustavo Cevolani - 2013 - Logic Journal of the IGPL 21 (6):999-1016.
Fragility and indestructibility of the tree property.Spencer Unger - 2012 - Archive for Mathematical Logic 51 (5-6):635-645.


Added to PP

37 (#322,158)

6 months
7 (#127,476)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

Set-theoretic geology.Gunter Fuchs, Joel David Hamkins & Jonas Reitz - 2015 - Annals of Pure and Applied Logic 166 (4):464-501.
The downward directed grounds hypothesis and very large cardinals.Toshimichi Usuba - 2017 - Journal of Mathematical Logic 17 (2):1750009.
Characterizing large cardinals in terms of layered posets.Sean Cox & Philipp Lücke - 2017 - Annals of Pure and Applied Logic 168 (5):1112-1131.
Indestructible Strong Unfoldability.Joel David Hamkins & Thomas A. Johnstone - 2010 - Notre Dame Journal of Formal Logic 51 (3):291-321.

View all 14 citations / Add more citations

References found in this work

A weak variation of Shelah's I[ω₂].William J. Mitchell - 2004 - Journal of Symbolic Logic 69 (1):94-100.

Add more references