### 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

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

# Category Archives: Reviews

## Review: Stevo Todorcevic’s CRM-Fields-PIMS Prize Lecture

After winning the 2012 CRM-Fields-PIMS Prize, Stevo Todorcevic gave a series of talks on his research: at CRM, at PIMS and at the Fields Institute. The director of the Fields Institute asked me to write a short review on Stevo’s … Continue reading

## Review: Is classical set theory compatible with quantum experiments?

Yesterday, I attended a talk at the Quantum Foundations seminar at the beautiful Perimeter Institute for Theoretical Physics (Waterloo, Ontario). The (somewhat provocative) title of the talk was “Is Classical Set Theory Compatible with Quantum Experiments?”, and the speaker was Radu … Continue reading

## The search for diamonds

Abstract: This is a review I wrote for the Bulletin of Symbolic Logic on the following papers: Saharon Shelah, Middle Diamond, Archive for Mathematical Logic, vol. 44 (2005), pp. 527–560. Saharon Shelah, Diamonds, Proceedings of the American Mathematical Society, vol. … Continue reading

Posted in Publications, Reviews, Squares and Diamonds
Tagged Diamond, middle diamond, weak diamond, weak square
1 Comment