Foundations of Mathematics

February 1, 2019

Foundations of Mathematics, Andrés E. Caicedo, James Cummings, Peter Koellner, and Paul B. Larson, eds., Contemporary Mathematics, vol. 690, Amer. Math. Soc., Providence, RI, 2017. DOI: 10.1090/conm/690. MR3656304. Zbl 06733965.

This book contains the proceedings of the conference in honor of Hugh Woodin’s 60th birthday, that I previously discussed on this blog (here, here, and here).

The AMS page for the volume can be found here, including the table of contents and links to the front- and endmatter (which I think are available to everybody) and links to the individual papers (which I imagine may not be).



August 11, 2016

I have just posted on my papers page a preprint of a review of

Smullyan, Raymond
Reflections—the magic, music and mathematics of Raymond Smullyan.
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2015. x+213 pp.
ISBN: 978-981-4644-58-7; 978-981-4663-19-9

that I have submitted to Mathematical Reviews.


May 17, 2013

Because of this, I decided to take a look at Cardinal Algebras, a monograph by Alfred Tarski, né Alfred Teitelbaum, published by Oxford University Press in 1949.

Here is the closing paragraph of the Preface:

It would be impossible for me to conclude this introduction without mentioning one more namethat of Adolf Lindenbaum, a former student and colleague of mine at the University of Warsaw. My close friend and collaborator for many years, he took a very active part in the earlier stages of the research which resulted in the present work, and the few references to his contribution that will be found in the book can hardly convey an adequate idea of the extent of my indebtedness. The wave of organized totalitarian barbarism engulfed this man of unusual intelligence and great talentas it did millions of others.{}^4

{}^4 Adolf Lindenbaum was killed by the Gestapo in 1941.

Secret history

February 5, 2012

One of the deepest results to emerge from Hall’s school was […] This was obtained by Hall’s student Peter Stroud, who was tragically killed in an accident shortly after completing his doctorate; as a result, the proof was never published, and remains quite difficult to get at (Stroud’s thesis may be consulted in the Cambridge University Library, but photocopying is not allowed).

Dan Segal, Words. Notes on verbal width in groups, Cambridge University Press, 2009.


January 13, 2012

There is this book we read at bedtime, All the things I love about you, by LeUyen Pham. Francisco has added to it a few twists of his own:

For example, here the boy is running away from an explosion.

He is learning to spell, but he is stubborn. And sometimes he spells backwards. So Y-R-M-A-C A-T-O-Y-O-T spells car.

His favorite movie right now is Jumanji. During the stampede scenes, the living room gets destroyed. He is thorough.

For christmas he got the Doctor, and for his birthday, a bike. And, of course, a million other things.

All of which must be uniformly spread through the living room while elephants trumpet.

Set theory and its applications

January 15, 2011

Set theory and its applicationsL. Babinkostova, A. E. Caicedo, S. GeschkeM. Scheepers, eds. Contemporary Mathematics, vol. 533, Amer. Math. Soc., Providence, RI, 2011. ISBN-10: 0-8218-4812-7 ISBN-13: 978-0-8218-4812-8

Here is a link to the AMS page for it, a link to its table of contents, and the preface:

The Boise Extravaganza in Set Theory (BEST) started in 1992 as a small, locally funded conference dedicated to Set Theory and its Applications. A number of years after its inception BEST started being funded by the National Science Foundation. Without this funding it would not have been possible to maintain the conference. The conference remained relatively small with many opportunities for its participants to meet informally. We like to think that during these years BEST has made it possible for the numerous set theorists who have participated in it to absorb, besides the new developments featured in the conference talks, also part of the folklore and traditions of the field of set theory and its relatives. An explicit effort was made to bring together role models from various career stages in set theory as well as the new generation to support some notion of continuity in the field.
This volume has a similar purpose. In it the reader will find valuable papers ranging from surveys that put in print here set theoretic knowledge that has been around for several decades as unpublished lore, to hybrid survey-research papers, to pure research papers. Readers can be assured of the authority of each paper since each has been carefully refereed. The reader will also find that the subjects treated in these papers range over several of the historically strongly represented areas of set theory and its relatives. Rather than expounding the virtues of each paper individually here, we invite the reader to learn from the authors.
Bringing to publication such a collection of papers is not possible without the generous dedication of authors and referees and the services of a publisher. We would like to thank all authors and referees for their selfless contributions to this volume. And we particularly would like to thank the publisher, Contemporary Mathematics, and Christine Thivierge, for the guidance they provided during this process.