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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
- 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

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

# 18th Boise Extravaganza in Set Theory

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