### Archives

### Recent blog posts

- 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

### Keywords

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