The Cabal was, or perhaps is, a set of
set theorists
Set, The Set, SET or SETS may refer to:
Science, technology, and mathematics Mathematics
*Set (mathematics), a collection of elements
*Category of sets, the category whose objects and morphisms are sets and total functions, respectively
Electro ...
in
Southern California
Southern California (commonly shortened to SoCal) is a geographic and Cultural area, cultural List of regions of California, region that generally comprises the southern portion of the U.S. state of California. Its densely populated coastal reg ...
, particularly at
UCLA
The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school then known as the southern branch of the C ...
and
Caltech
The California Institute of Technology (branded as Caltech) is a private university, private research university in Pasadena, California, United States. The university is responsible for many modern scientific advancements and is among a small g ...
, but also at
UC Irvine
UC may refer to:
Education
In the United States
* University of California system
* University of Charleston, West Virginia
* University of Chicago, Illinois
* University of Cincinnati, Ohio
* Upsala College, East Orange, New Jersey (''defunct ...
. Organization and procedures range from informal to nonexistent, so it is difficult to say whether it still exists or exactly who has been a member, but it has included such notable figures as
Donald A. Martin,
Yiannis N. Moschovakis,
John R. Steel, and
Alexander S. Kechris. Others who have published in the proceedings of the Cabal seminar include
Robert M. Solovay,
W. Hugh Woodin,
Matthew Foreman, and
Steve Jackson.
The work of the group is characterized by free use of
large cardinal
In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the name suggests, generally very "large" (for example, bigger than the least ...
axioms, and research into the
descriptive set theoretic behavior of
sets of
reals if such assumptions hold.
Some of the philosophical views of the Cabal seminar were described in and .
Publications
*
*
*
*
References
*
*
Descriptive set theory
Set theory
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