### Archives

### 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
- Generalizations 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

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

# 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
1 Comment