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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

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

# 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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