### 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

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

# 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
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