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### Recent blog posts

- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
- Prolific Souslin trees March 17, 2016
- Genearlizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014

### Keywords

Prikry-type forcing 11P99 Weakly compact cardinal reflection principles stationary reflection Selective Ultrafilter Constructible Universe Minimal Walks Hindman's Theorem Poset Sakurai's Bell inequality Hedetniemi's conjecture Chromatic number Jonsson cardinal Uniformization Singular Density Fast club Parameterized proxy principle Almost-disjoint famiy sap Shelah's Strong Hypothesis Slim tree 05A17 PFA(S)[S] Fodor-type reflection tensor product graph polarized partition relation weak diamond Reduced Power S-Space approachability ideal free Boolean algebra Erdos-Hajnal graphs Successor of Regular Cardinal ccc Forcing Axioms Generalized Clubs coloring number Non-saturation Souslin Tree 05D10 square Aronszajn tree Partition Relations Axiom R stationary hitting Chang's conjecture Antichain HOD Club Guessing incompactness Erdos Cardinal OCA Cardinal Invariants Stevo Todorcevic projective Boolean algebra Dushnik-Miller Almost countably chromatic Martin's Axiom Fat stationary set Rainbow sets Universal Sequences Knaster P-Ideal Dichotomy Square-Brackets Partition Relations b-scale L-space Cohen real Prevalent singular cardinals Singular coﬁnality Rado's conjecture weak square Hereditarily Lindelöf space Mandelbrot set PFA Diamond Almost Souslin Foundations very good scale Small forcing Microscopic Approach Singular Cofinality Large Cardinals middle diamond Successor of Singular Cardinal Ostaszewski square xbox Ascent Path Singular cardinals combinatorics Whitehead Problem Commutative cancellative semigroups Cardinal function Coherent tree Rock n' Roll 20M14 Forcing diamond star Absoluteness Kurepa Hypothesis

# Tag Archives: weak diamond

## The search for diamonds

Abstract: This is a review I wrote for the Bulletin of Symbolic Logic on the following papers: Saharon Shelah, Middle Diamond, Archive for Mathematical Logic, vol. 44 (2005), pp. 527–560. Saharon Shelah, Diamonds, Proceedings of the American Mathematical Society, vol. … Continue reading

Posted in Publications, Reviews, Squares and Diamonds
Tagged Diamond, middle diamond, weak diamond, weak square
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