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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
- Genearlizations 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

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

# 18th Boise Extravaganza in Set Theory

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