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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

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

# 18th Boise Extravaganza in Set Theory

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