Mathematics (p)reprints of
John T. Baldwin
If you click on the
name of the paper and have an appropriatereader, itwill appear now. The newest papers are available in pdf format on this page. Some of the older postscript files
can be obtained by anonymous ftp (loginname"anonymous"
or "ftp"; password can beanything)fromftp://www.math.uic.edu/pub/preprints/baldwin/.
You will need to uncompress these files with the command pkunzip
or gunzip. In those cases, the name of the archived
file is in parentheses.
- Categoricity
in Abstract Elementary Classes ; 245 pages in AMS format: appeared August
2009 — The printed
version will cost $55. pdf
· Beyond First Order Logic: From number of
structures to structure of numbers (with Tapani Hytinnen and Meeri pdf (Feb. 21,
2011 version) (Intro to AEC; the
notion of completenesss; an amusing AEC from PA)
· Geometry and Categoricity
(July 5, 2010 version) pdf (for Kirishma
volume; expanded from Zilber-fest talk. March 2010)
Talk with paper in progress:
· Modern Model Theory\\ The impact on
mathematics and philosophy, Model Theory and Philosophy – Paris June2010. pdf
· Bib for Modern Model Theory\\ The impact
on mathematics and philosophy, Model Theory and Philosophy – Paris June2010. pdf
The
following two papers overlap but each contains some material not in the other.
· Model Theoretic Perspectives on the
Philosophy of Mathematics—
paper for the Workshop in Practice Based Philosophy - Amsterdam Aug
2009. pdf
More philosophically oriented version.
· Model Theoretic Perspectives on the
Philosophy of Mathematics—
paper for the Workshop in Practice Based Philosophy - Amsterdam Aug 2009.
Longer and more mathematical version pdf
· A short note on Monster models pdf
· A Hanf number
for saturation and omission —
(with Saharon Shelah); pdf
(April 2010 version)
· Amalgamation, Absoluteness, and Categoricity — Southeast Asia Logic Conference,
(version of Sept 2010: Appendix by David Marker) pdf
· Stability Spectrum for Classes of Atomic
Models — (with Saharon Shelah); New results on
stability spectrum and general discussion of EM models over trees of indiscernibles pdf
(April 2010 version)
· Review of The Birth of Model Theory by Calixto Badesa — This is a Halmos-style
review for the Bulletin of the AMS. If takes off from the book to sketch the
history/viewpoint of model theory and its connections with core mathematics. pdf
· A Field Guide to Hrushovski
Constructions — This is
an annotated bibliography with a few open problems to papers based on the Hrushovski construction. There are sections on the ab initio constructions, expansions/fusions, and infinitary versions. Although written as slides, the notes
are compiled in printable form. pdf
- The Amalgamation Spectrum
posted Spring 2008: pdf
with Alexei Kolesnikov and Saharon
Shelah
- Generalized Quantifiers, Infinitary Logics, and Abstract Elementary Classes
posted Dec. 2007: pdf
Proceedings of Mostowki conference July 2007
- N perp
as an AEC (with Paul Ekof and Jan Trlifaj) posted Dec. 2006, revised June 2007: pdf
- Categoricity,
Amalgamation, and Tameness (with Alexei Kolesnikov)
posted Oct. 2006, final version
revised Nov 2007 to appear: Israel Journal of Math pdf
- Geometry and Proof : Tools
for Teaching Logic, Conference in Salamanca,
September 2006 pdf
- Cayley's
theorem for ordered groups: o-minimality (with Bektur Baizhanov and Viktor Verbovskiy) pdf
(posted August 2006)
- The complex numbers and
complex exponentiation: Why Infinitary Logic is
necessary! (Annual Meeting of Columbian Mathematical Society: August 2005)
pdf
(posted April 2006)
- The Vaught Conjecture, Do
uncountable models count (February 2006 rev. July 2006) (For Vaught
conjecture Conference held May 2005) pdf
- Examples of Non-locality
(with Saharon Shelah)(Fall
2005; revised Fall 2007: to appear JSL) pdf
- Abstract Elementary Classes:
Some Answers, More Questions (Logic Colloquium 2004, Turino) pdf
(revised Summer 2006)
- Uncountable Categoricity of Local Abstract Elementary Classes with
Amalgamation (with Olivier Lessmann) (first post
Spring 2005; revised Fall 2005; bib updated Apr 2006) pdf
- The Metamathematics
of Random Graphs (posted Spring 2005; revised Fall 2005) pdf
- Upward stability transfer for
Tame Abstract Elementary Classes(with David Kueker
and Monica VanDieren) (Spring 2004) pdf
- Non-splitting Extensions
(Spring 2004) pdf
technical report: Short proof to obtain nonsplitting
extensions in EM models
- Ehrenfeucht-Mostowski
Models and Abstract Elementary Classes(Fall 2003) pdf
- Review of Lavrov
and Makismova: Problems in Set theory,Mathematical Logic and the Theory of
Algorithms) pdf
- Review of Wolfram's A New
Kind of Science (Fall 2003) ps
- Notes on Quasimiminality:
Infinitary categoricity,
complexexponentiation, Hrushovski
Construction and Abstract ElementaryClasses(Spring
2004) pdf
- Constructing $\omega$-stable
Structures: Model Completeness (with Kitty Holland) (Summer 2003) postscript or dvi or pdf
- Local Homogeneity (with Bektur Baizhanov) (Winter
2003; revisedSpring 2004) pdf
- Subsets of Superstable Structures are weakly benign( with BekturBaizhanov and Saharon Shelah) (Winter 2003) pdf or dvi
- CA Computation and Simulation
(Note to FOM:Summer 2002) postscript
dvi
- Constructing $\omega$-stable Structures:Rank k fields ( withKitty
Holland)
(Summer 2002) postscript or dvi (Appeared NotreDame Journal of Formal Logic, (44) pg 139-147,
2003)
- Forking and Multiplicity in
First Order Theories (Spring 2001) postscript or
dvi
- Determined Theories and Limit
Laws (with Marco Mazzucco) (Spring2001; revised
Spring 2004) pdf
- Model Companions of $T_\aut$ for stable $T$ (with Saharon
Shelah)(Winter 2003) postscript
or dvi
- Rank and Homogeneity (Fall
2000) postscript or dvi
- Amalgamation properties and
finite models in$L^n$-theories (withOlivier Lessmann)
(Summer 2000) postscript or dvi
- Stable Amalgamation(expanded
from Malcev conference) (January2000) (postscript) or dvi
- Finite and Infinite Model
Theory: a historicalperspective(expanded from Wollics conference) (Fall 1999) dvi or (postscript)
- Constructing $\omega$-stable Structures:Computing Rank ( withKitty
Holland)
(summer 1999: rev Spring 2001) (dvi) or (postscript)
- Theories in Finite Model
Theory (April 1999: technicalreportIRCS,
Philadelphia Workshop) (dvi)
or (postscript)
- Probability and the Finite
Model Property:The "proof" thatHrushovski's example of an $\aleph_0$-categorical
stable theory has thefinite model property has a
serious error. (Later: Djordjevic found acounter example.)
- Constructing $\omega$-stable structures:Rank 2 fields(with KittyHolland)
(update: Spring 2001; original Mar. 98 below)
(dvi version ) or
(postscript)
- Stability, the finite cover
property, and $0$-$1$ laws (March 8,1998) (dvi version) or (postscript)
- Stability theory,
Permutations of Indiscernibles,and EmbeddedFinite Models ( with Michael Benedikt)(March 10, 1998)(dvi version) ) or postscript
- Random expansions of
geometries (Accepted Jan 2003 version) (dvi version) or
(postscript)
- Random expansions of
geometries ( 1999 version) (dvi
version) or (postscript)
The remainder are postscript files.
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