Steve
Awodey
Professor
Department of
Philosophy
Carnegie Mellon
University
Research Areas
Category Theory
Logic
Philosophy of
Mathematics
History of Logic and
Analytic Philosophy
Textbook
Category Theory, Oxford Logic
Guides, Oxford University Press, 2006
Click here for more information.
Selected Current Preprints
·
Homotopy theoretic models of identity types.
S. Awodey, M. Warren, 2009.
·
From sets, to types, to categories, to sets.
S. Awodey, 2009.
·
Lawvere-Tierney sheaves in algebraic set theory.
S. Awodey, N. Gambino, P. Lumsdaine, M. Warren, 2008.
·
A brief introduction to algebraic set theory.
S. Awodey, 2008.
·
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. Research announcement. Bulletin of Symbolic Logic.
Selected Publications ·
Topology and modality: The topological
interpretation of first-order modal logic. S. Awodey, K. Kishida, The Review of Symbolic Logic, 2008. . ·
Carnap's Dream: Gödel, Wittgenstein, and Logical Syntax. S. Awodey, A.W. Carus, Synthese, 2007. . ·
Sheaf toposes for realizability (2004). S. Awodey and A. Bauer, Archive
for Mathemtical Logic, 2008. ·
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). 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 Algebraic Set Theory
Contact Information Steve Awodey Office: BH 152
[Abstract] [Summary]
Pure and Applied Logic Program
Philosophy
Department Home
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Paintings by Marc Awodey
Categorical Logic Workshop in Japan: Tohoku/Kyoto
Department of Philosophy
Carnegie Mellon University
135 Baker Hall
Pittsburgh, PA 15213
Phone: (412) 268-8947
Fax: (412) 268-1440
E-Mail: awodey (at) cmu.edu