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- 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

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

# 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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