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- A strong form of König’s lemma October 21, 2017
- 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

### Keywords

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

# Tag Archives: middle 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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