Steve
Awodey
Associate Professor
Department of
Philosophy
Carnegie Mellon
University
Research Areas
Category Theory
Logic
Philosophy of
Mathematics
History of Logic and
Analytic Philosophy
Research Connections:
Logic
of Types and Computation
New book, now available!
Category Theory, Oxford Logic
Guides, Oxford University Press, 2006
Click
here for more information.
Selected Current Preprints
·
Topology and modality: The topological
interpretation of first-order modal logic.
S. Awodey, K. Kishida, June 2007.
· An
outline of algebraic set theory.
S. Awodey January 2006.
·
Algebraic
models of theories of sets and classes.
S. Awodey, H. Forssell, M. Warren, June 2006.
·
Relating
topos theory and set theory via categories of classes.
S. Awodey, C. Butz, A. Simpson, T. Streicher, June
2003.
·
Sheaf toposes for realizability.
S. Awodey and A. Bauer, (2002), forthcoming in: Archive
for Mathemtical Logic.
·
Continuity and logical completeness [ps] , [pdf].
S. Awodey,
December 2000.
Selected Publications
·
Algebraic
models of intuitionistic theories of sets and classes.
S. Awodey and H. Forssell, Theory and
Applications of Categories 15(5),
CT 2004, pp. 147--163 (2004).
·
Predicative
algebraic set theory.
S. Awodey and M. Warren, Theory and Applications
of Categories 15(1), CT 2004, pp.
1--39 (2004).
·
Ultrasheaves and double negation.
S. Awodey and J. Eliasson, Notre Dame Journal of
Formal Logic 45(4), pp. 235--245
(2004).
S. Awodey and A. Bauer, Journal of Logic and
Computation 14(4), pp. 447--471
(2004).
Philosophia Mathematica (3), vol. 12 (2004), pp. 54--64.
·
Modal operators and the formal dual of Birkhoff's completeness theorem.
S. Awodey and J. Hughes, Mathematical Structures
in Computer Science, vol. 13
(2003), pp. 233-258.
·
Categoricity and completeness: 19th century axiomatics to 21st century
semantics.
S. Awodey and E. Reck, History and Philosophy of
Logic , 23 (2002), pp. 1-30, 77-94.
·
Elementary axioms for local maps of toposes.
S. Awodey and L. Birkedal, Journal of Pure and
Applied Algebra, 177 (2003), pp.
215-230.
·
Local realizability toposes and a modal logic for
computability.
S. Awodey, L. Birkedal, D.S. Scott, Mathematical
Structures in Computer Science,
vol. 12 (2002), pp. 319-334.
·
Topological completeness for higher-order logic.
S. Awodey and C. Butz, Journal of Symbolic Logic 65(3), (2000) pp. 1168--82.
·
Topological representation of the lambda-calculus.
Mathematical Structures in Computer Science (2000), vol. 10, pp. 81--96.
·
Sheaf representation for topoi.
Journal of Pure and Applied Algebra 145 (2000), pp. 107--121.
·
Carnap, completeness, and categoricity: The Gabelbarkeitssatz of 1928.
S. Awodey and A.W. Carus, Erkenntnis 54 (2001), pp. 145-172.
·
Structure in mathematics and logic: a categorical perspective.
Philosophia
Mathematica (3), vol. 4 (1996), pp.
209--237.
Dissertation
·
Logic in Topoi: Functorial Semantics for
Higher-Order Logic
Ph.D.
Dissertation, The University of Chicago (1997).
[Abstract] [Summary]
Editorial Activities
·
The Bulletin of Symbolic Logic, reviews editor.
·
The
Collected Works of Rudolf Carnap, editor.
·
Full Circle: Publications of the Archives of
Scientific Philosophy,
managing editor.
· The
Bernays Project, project
member.
Course Materials
Other Links
Pure and Applied Logic Colloquium
Philosophy Department Colloquium
Pure and Applied Logic Program
Philosophy
Department Home
CMU Home
Ferienwohnung "Cölber
Mühle" bei Marburg
Paintings
by Marc Awodey
Carnap
Workshop in Berlin GAP.6
Contact Information
Steve Awodey
Department of Philosophy
Carnegie Mellon University
135 Baker Hall
Pittsburgh, PA 15213
Office: BH 152
Phone: (412) 268-8947
Fax: (412) 268-1440
E-Mail: awodey (at) cmu.edu