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### Archives

### 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

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