Alphabetically Sorted, Complete Bibliography

• Adamek, J. et al., 1990, Abstract and Concrete Categories: The Joy of Cats, New York: Wiley.
• Adamek, J. et al., 1994, Locally Presentable and Accessible Categories, Cambridge: Cambridge University Press.
• Arzi-Gonczaworski, Z., 1999, "Perceive This as That — Analogies, Artificial Perception, and Category Theory", Annals of Mathematics and Artificial Intelligence, 26, no. 1, 215–252.
• Awodey, S. & Butz, C., 2000, "Topological Completeness for Higher Order Logic", Journal of Symbolic Logic, 65, 3, 1168–1182.
• Awodey, S. & Reck, E. R., 2002, "Completeness and Categoricity I. Nineteen-Century Axiomatics to Twentieth-Century Metalogic", History and Philosophy of Logic, 23, 1, 1–30.
• Awodey, S. & Reck, E. R., 2002, "Completeness and Categoricity II. Twentieth-Century Metalogic to Twenty-first-Century Semantics", History and Philosophy of Logic, 23, 2, 77–94.
• Awodey, S., 1996, "Structure in Mathematics and Logic: A Categorical Perspective", Philosophia Mathematica, 3, 209–237.
• Awodey, S., 2004, "An Answer to Hellman's Question: Does Category Theory Provide a Framework for Mathematical Structuralism", Philosophia Mathematica, 12, 54–64.
• Baez, J. & Dolan, J., 1998a, "Higher-Dimensional Algebra III. n-Categories and the Algebra of Opetopes", Advances in Mathematics, 135, 145–206.
• Baez, J. & Dolan, J., 1998b, "Categorification", Higher Category Theory, Contemporary Mathematics, 230, Providence: AMS, 1–36.
• Baez, J. & Dolan, J., 2001, "From Finite Sets to Feynman Diagrams", Mathematics Unlimited – 2001 and Beyond, Berlin: Springer, 29–50.
• Baez, J., 1997, "An Introduction to n-Categories", Category Theory and Computer Science, Lecture Notes in Computer Science, 1290, Berlin: Springer-Verlag, 1–33.
• Baianu, I. C., 1987, "Computer Models and Automata Theory in Biology and Medecine", in Witten, Matthew, Eds. Mathematical Modelling, Vol. 7, 1986, chapter 11, Pergamon Press, Ltd., 1513–1577.
• Barr, M. & Wells, C., 1985, Toposes, Triples and Theories, New York: Springer-Verlag.
• Barr, M. & Wells, C., 1999, Category Theory for Computing Science, Montreal: CRM.
• Batanin, M., 1998, "Monoidal Globular Categories as a Natural Environment for the Theory of Weak n-Categories", Advances in Mathematics, 136, 39–103.
• Bell, J. L., 1981, "Category Theory and the Foundations of Mathematics", British Journal for the Philosophy of Science, 32, 349–358.
• Bell, J. L., 1982, "Categories, Toposes and Sets", Synthese, 51, 3, 293–337.
• Bell, J. L., 1986, "From Absolute to Local Mathematics", Synthese, 69, 3, 409–426.
• Bell, J. L., 1988, "Infinitesimals", Synthese, 75, 3, 285–315.
• Bell, J. L., 1988, Toposes and Local Set Theories: An Introduction, Oxford: Oxford University Press.
• Bell, J. L., 1995, "Infinitesimals and the Continuum", Mathematical Intelligencer, 17, 2, 55–57.
• Bell, J. L., 1998, A Primer of Infinitesimal Analysis, Cambridge: Cambridge University Press.
• Bell, J. L., 2001, "The Continuum in Smooth Infinitesimal Analysis", Reuniting the Antipodes — Constructive and Nonstandard Views on the Continuum, Synthese Library, 306, Dordrecht: Kluwer, 19–24.
• Bell, J. L., 2001, "The Continuum in Smooth Infinitesimal Analysis", Reuniting the Antipodes – Constructive and Nonstandard Views on the Continuum, Synthese Library, 306, Dordrecht: Kluwer, 19–24.
• Birkoff, G. & Mac Lane, S., 1999, Algebra, 3^rd ed., Providence: AMS.
• Biss, D.K., 2003, "Which Functor is the Projective Line?", American Mathematical Monthly, 110, 7, 574–592.
• Blass, A. & Scedrov, A., 1983, Classifying Topoi and Finite Forcing , Journal of Pure and Applied Algebra, 28, 111–140.
• Blass, A. & Scedrov, A., 1989, Freyd's Model for the Independence of the Axiom of Choice, Providence: AMS.
• Blass, A. & Scedrov, A., 1992, "Complete Topoi Representing Models of Set Theory", Annals of Pure and Applied Logic , 57, no. 1, 1–26.
• Blass, A., 1984, "The Interaction Between Category Theory and Set Theory", Mathematical Applications of Category Theory, 30, Providence: AMS, 5–29.
• Blute, R. & Scott, P., 2004, "Category Theory for Linear Logicians", in Linear Logic in Computer Science, T. Ehrhard, P. Ruet, J-Y. Girard, P. Scott, eds., Cambridge: Cambridge University Press, 1–52.
• Boileau, A. & Joyal, A., 1981, "La logique des topos", Journal of Symbolic Logic, 46, 1, 6–16.
• Borceux, F., 1994, Handbook of Categorical Algebra, 3 volumes, Cambridge: Cambridge University Press.
• Bunge, M., 1974, "Topos Theory and Souslin's Hypothesis", Journal of Pure and Applied Algebra, 4, 159–187.
• Bunge, M., 1984, "Toposes in Logic and Logic in Toposes", Topoi, 3, no. 1, 13–22.
• Cockett, J. R. B. & Seely, R. A. G., 2001, "Finite Sum-product Logic", Theory and Applications of Categories (electronic), 8, 63–99.
• Couture, J. & Lambek, J., 1991, "Philosophical Reflections on the Foundations of Mathematics", Erkenntnis, 34, 2, 187–209.
• Couture, J. & Lambek, J., 1992, "Erratum:"Philosophical Reflections on the Foundations of Mathematics"", Erkenntnis, 36, 1, 134.
• Crole, R. L., 1994, Categories for Types, Cambridge: Cambridge University Press.
• Dieudonné, J. & Grothendieck, A., 1960, [1971], Éléments de Géométrie Algébrique, Berlin: Springer-Verlag.
• Ehresmann, A. C. & Vanbremeersch, J-P., 1987, "Hierarchical Evolutive Systems: a Mathematical Model for Complex Systems", Bulletin of Mathematical Biology, 49, no. 1, 13–50.
• Eilenberg, S. & Cartan, H., 1956, Homological Algebra, Princeton: Princeton University Press.
• Eilenberg, S. & Mac Lane, S., 1942, "Group Extensions and Homology", Annals of Mathematics, 43, 757–831.
• Eilenberg, S. & Mac Lane, S., 1945, "General Theory of Natural Equivalences", Transactions of the American Mathematical Society, 58, 231–294.
• Eilenberg, S. & Steenrod, N., 1952, Foundations of Algebraic Topology, Princeton: Princeton University Press.
• Ellerman, D., 1988, "Category Theory and Concrete Universals", Synthese, 28, 409–429.
• Feferman, S., 1977, "Categorical Foundations and Foundations of Category Theory", Logic, Foundations of Mathematics and Computability, R. Butts (ed.), Reidel, 149–169.
• Freyd, P., 1964, Abelian Categories. An Introduction to the Theory of Functors, New York: Harper & Row.
• Freyd, P., 1965, "The Theories of Functors and Models". Theories of Models, Amsterdam: North Holland, 107–120.
• Freyd, P., 1972, "Aspects of Topoi", Bulletin of the Australian Mathematical Society, 7, 1–76.
• Freyd, P., 1980, "The Axiom of Choice", Journal of Pure and Applied Algebra, 19, 103–125.
• Freyd, P., 1987, "Choice and Well-Ordering", Annals of Pure and Applied Logic, 35, 2, 149–166.
• Freyd, P., 1990, Categories, Allegories, Amsterdam: North Holland.
• Freyd, P., 2002, "Cartesian Logic", Theoretical Computer Science, 278, no. 1–2, 3–21.
• Freyd, P., Friedman, H. & Scedrov, A., 1987, "Lindembaum Algebras of Intuitionistic Theories and Free Categories", Annals of Pure and Applied Logic, 35, 2, 167–172.
• Galli, A. & Reyes, G. & Sagastume, M., 2000, "Completeness Theorems via the Double Dual Functor", Studia Logical, 64, no. 1, 61–81.
• Ghilardi, S. & Zawadowski, M., 2002, Sheaves, Games & Model Completions: A Categorical Approach to Nonclassical Porpositional Logics, Dordrecht: Kluwer.
• Ghilardi, S., 1989, "Presheaf Semantics and Independence Results for some Non-classical first-order logics", Archive for Mathematical Logic, 29, no. 2, 125–136.
• Goldblatt, R., 1979, Topoi: The Categorical Analysis of Logic, Studies in logic and the foundations of mathematics, Amsterdam: Elsevier.
• Grothendieck, A. et al., Séminaire de Géométrie Algébrique, Vol. 1--7, Berlin: Springer-Verlag.
• Grothendieck, A., 1957, "Sur Quelques Points d'algèbre homologique", Tohoku Mathematics Journal, 9, 119–221.
• Hatcher, W. S., 1982, The Logical Foundations of Mathematics, Oxford: Pergamon Press.
• Healy, M. J., 2000, "Category Theory Applied to Neural Modeling and Graphical Representations", Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks: IJCNN200, Como, vol. 3, M. Gori, S-I. Amari, C. L. Giles, V. Piuri, eds., IEEE Computer Science Press, 35–40.
• Hellman, G., 2003, "Does Category Theory Provide a Framework for Mathematical Structuralism?", Philosophia Mathematica, 11, 2, 129–157.
• Hermida, C. & Makkai, M. & Power, J., 2000, "On Weak Higher-dimensional Categories I", Journal of Pure and Applied Algebra, 154, no. 1-3, 221–246.
• Hermida, C. & Makkai, M. & Power, J., 2001, "On Weak Higher-dimensional Categories 2", Journal of Pure and Applied Algebra, 157, no. 2-3, 247–277.
• Hermida, C. & Makkai, M. & Power, J., 2002, "On Weak Higher-dimensional Categories 3", Journal of Pure and Applied Algebra, 166, no. 1-2, 83–104.
• Hyland, J. M. E. & Robinson, E. P. & Rosolini, G., 1990, "The Discrete Objects in the Effective Topos", Proceedings of the London Mathematical Society (3), 60, no. 1, 1–36.
• Hyland, J. M. E., 1982, "The Effective Topos", Studies in Logic and the Foundations of Mathematics, 110, Amsterdam: North Holland, 165–216.
• Hyland, J. M. E., 1988, "A Small Complete Category", Annals of Pure and Applied Logic, 40, no. 2, 135–165.
• Hyland, J. M. E., 1991, "First Steps in Synthetic Domain Theory", Category Theory (Como 1990), Lecture Notes in Mathematics, 1488, Berlin: Springer, 131–156.
• Hyland, J. M. E., 2002, "Proof Theory in the Abstract", Annals of Pure and Applied Logic, 114, no. 1–3, 43–78.
• Jacobs, B., 1999, Categorical Logic and Type Theory, Amsterdam: North Holland.
• Johnstone, P. T., 1977, Topos Theory, New York: Academic Press.
• Johnstone, P. T., 1979a, "Conditions Related to De Morgan's Law", Applications of Sheaves, Lecture Notes in Mathematics, 753, Berlin: Springer, 479–491.
• Johnstone, P. T., 1979b, "Another Condition Equivalent to De Morgan's Law", Communications in Algebra, 7, no. 12, 1309–1312.
• Johnstone, P. T., 1981, "Tychonoff's Theorem without the Axiom of Choice", Fundamenta Mathematicae, 113, no. 1, 21–35.
• Johnstone, P. T., 1982, Stone Spaces, Cambridge:Cambridge University Press.
• Johnstone, P. T., 1985, "How General is a Generalized Space?", Aspects of Topology, Cambridge: Cambridge University Press, 77–111.
• Johnstone, P. T., 2001, "Elements of the History of Locale Theory", Handbook of the History of General Topology, Vol. 3, Dordrecht: Kluwer, 835–851.
• Johnstone, P. T., 2002a, Sketches of an Elephant: a Topos Theory Compendium. Vol. 1, Oxford Logic Guides, 43, Oxford: Oxford University Press.
• Joyal, A. & Moerdijk, I., 1995, Algebraic Set Theory, Cambridge: Cambridge University Press.
• Kan, D. M., 1958, "Adjoint Functors", Transactions of the American Mathematical Society, 87, 294–329.
• Kock, A., 1981, Synthetic Differential Geometry, London Mathematical Society Lecture Note Series, 51, Cambridge: Cambridge University Press.
• La Palme Reyes, M., et. al., 1994, "The non-Boolean Logic of Natural Language Negation", Philosophia Mathematica, 2, no. 1, 45–68.
• La Palme Reyes, M., et. al., 1999, "Count Nouns, Mass Nouns, and their Transformations: a Unified Category-theoretic Semantics", Language, Logic and Concepts, Cambridge: MIT Press, 427–452.
• Lambek, J. & Scott, P.J., 1981, "Intuitionistic Type Theory and Foundations", Journal of Philosophical Logic, 10, 1, 101–115.
• Lambek, J. & Scott, P.J., 1983, "New Proofs of Some Intuitionistic Principles", Zeitschrift f¸r Mathematische Logik und Grundlagen der Mathematik, 29, 6, 493–504.
• Lambek, J. & Scott, P.J., 1986, Introduction to Higher Order Categorical Logic, Cambridge: Cambridge University Press.
• Lambek, J. 1994, "Are the Traditional Philosophies of Mathematics Really Incompatible?", Mathematical Intelligencer, 16, 1, 56–62.
• Lambek, J., 1968, "Deductive Systems and Categories I. Syntactic Calculus and Residuated Categories", Mathematical Systems Theory, 2, 287–318.
• Lambek, J., 1969, "Deductive Systems and Categories II. Standard Constructions and Closed Categories", Category Theory, Homology Theory and their Applications I, Berlin: Springer, 76–122.
• Lambek, J., 1972, "Deductive Systems and Categories III. Cartesian Closed Categories, Intuition≠istic Propositional Calculus, and Combinatory Logic", Toposes, Algebraic Geometry and Logic, Lecture Notes in Mathematics, 274, Berlin: Springer, 57–82.
• Lambek, J., 1982, "The Influence of Heraclitus on Modern Mathematics", Scientific Philosophy Today, J. Agassi and R.S. Cohen, eds., Dordrecht, Reidel, 111–122.
• Lambek, J., 1986, "Cartesian Closed Categories and Typed lambda calculi", Combinators and Functional Programming Languages, Lecture Notes in Computer Science, 242, Berlin: Springer, 136–175.
• Lambek, J., 1989, "On Some Connections Between Logic and Category Theory", Studia Logica, 48, 3, 269–278.
• Lambek, J., 1989, "On the Sheaf of Possible Worlds", Categorical Topology and its relation to Analysis, Algebra and Combinatorics, Teaneck: World Scientific Publishing, 36–53.
• Lambek, J., 1993, "Logic without Structural Rules", Substructural Logics, Studies in Logic and Computation, 2, Oxford: Oxford University Press, 179–206.
• Lambek, J., 1994, "Some Aspects of Categorical Logic", Logic, Methodology and Philosophy of Science IX, Studies in Logic and the Foundations of Mathematics 134, Amsterdam: North Holland, 69–89.
• Lambek, J., 1994, "What is a Deductive System?", What is a Logical System?, Studies in Logic and Computation, 4, Oxford: Oxford University Press, 141–159.
• Lambek, J., 2004, "What is the world of Mathematics? Provinces of Logic Determined", Annals of Pure and Applied Logic, 126(1-3), 149–158.
• Landry, E. & Marquis, J.-P., 2005, "Categories in Context: Historical, Foundational and philosophical", Philosophia Mathematica, 13, 1–43.
• Landry, E., 1999, "Category Theory: the Language of Mathematics", Philosophy of Science, 66, 3: supplement, S14–S27.
• Landry, E., 2001, "Logicism, Structuralism and Objectivity", Topoi, 20, 1, 79–95.
• Lawvere, F. W. & Rosebrugh, R., 2003, Sets for Mathematics, Cambridge: Cambridge University Press.
• Lawvere, F. W. & Schanuel, S., 1997, Conceptual Mathematics: A First Introduction to Categories, Cambridge: Cambridge University Press.
• Lawvere, F. W., 1964, "An Elementary Theory of the Category of Sets", Proceedings of the National Academy of Sciences U.S.A., 52, 1506–1511.
• Lawvere, F. W., 1965, "Algebraic Theories, Algebraic Categories, and Algebraic Functors", Theory of Models, Amsterdam: North Holland, 413–418.
• Lawvere, F. W., 1966, "The Category of Categories as a Foundation for Mathematics", Proceedings of the Conference on Categorical Algebra, La Jolla, New York: Springer-Verlag, 1–21.
• Lawvere, F. W., 1969a, "Diagonal Arguments and Cartesian Closed Categories", Category Theory, Homology Theory, and their Applications II, Berlin: Springer, 134–145.
• Lawvere, F. W., 1969b, "Adjointness in Foundations", Dialectica, 23, 281–295.
• Lawvere, F. W., 1970, "Equality in Hyper doctrines and Comprehension Schema as an Adjoint Functor", Applications of Categorical Algebra, Providence: AMS, 1-14.
• Lawvere, F. W., 1971, "Quantifiers and Sheaves", Actes du Congrès International des Mathématiciens, Tome 1, Paris: Gauthier-Villars, 329–334.
• Lawvere, F. W., 1972, "Introduction", Toposes, Algebraic Geometry and Logic, Lecture Notes in Mathematics, 274, Springer-Verlag, 1–12.
• Lawvere, F. W., 1975, "Continuously Variable Sets: Algebraic Geometry = Geometric Logic", Proceedings of the Logic Colloquium Bristol 1973, Amsterdam: North Holland, 135–153.
• Lawvere, F. W., 1976, "Variable Quantities and Variable Structures in Topoi", Algebra, Topology, and Category Theory, New York: Academic Press, 101–131.
• Lawvere, F. W., 1992, "Categories of Space and of Quantity", The Space of Mathematics, Foundations of Communication and Cognition, Berlin: De Gruyter, 14–30.
• Lawvere, F. W., 1994, "Cohesive Toposes and Cantor's lauter Ensein ", Philosophia Mathematica, 2, 1, 5–15.
• Lawvere, F. W., 1994, "Tools for the Advancement of Objective Logic: Closed Categories and Toposes", The Logical Foundations of Cognition, Vancouver Studies in Cognitive Science, 4, Oxford: Oxford University Press, 43–56.
• Lawvere, F. W., 2000, "Comments on the Development of Topos Theory", Development of Mathematics 1950-2000, Basel: Birkhäuser, 715–734.
• Lawvere, F. W., 2002, "Categorical Algebra for Continuum Micro Physics", Journal of Pure and Applied Algebra, 175, no. 1–3, 267–287.
• Lawvere, F. W., 2003, "Foundations and Applications: Axiomatization and Education. New Programs and Open Problems in the Foundation of Mathematics", Bullentin of Symbolic Logic, 9, 2, 213–224.
• Lawvere, F.W., 1963, "Functorial Semantics of Algebraic Theories", Proceedings of the National Academy of Sciences U.S.A., 50, 869–872.
• Leinster, T., 2002, "A Survey of Definitions of n-categories", Theory and Applications of Categories, (electronic), 10, 1–70.
• Mac Lane, S. & Moerdijk, I., 1992, Sheaves in Geometry and Logic, New York: Springer-Verlag.
• Mac Lane, S., 1950, "Dualities for Groups", Bulletin of the American Mathematical Society, 56, 485–516.
• Mac Lane, S., 1969, "Foundations for Categories and Sets", Category Theory, Homology Theory and their Applications II, Berlin: Springer, 146–164.
• Mac Lane, S., 1969, "One Universe as a Foundation for Category Theory", Reports of the Midwest Category Seminar III, Berlin: Springer, 192–200.
• Mac Lane, S., 1971, "Categorical algebra and Set-Theoretic Foundations", Axiomatic Set Theory, Providence: AMS, 231–240.
• Mac Lane, S., 1975, "Sets, Topoi, and Internal Logic in Categories", Studies in Logic and the Foundations of Mathematics, 80, Amsterdam: North Holland, 119–134.
• Mac Lane, S., 1981, "Mathematical Models: a Sketch for the Philosophy of Mathematics", American Mathematical Monthly, 88, 7, 462–472.
• Mac Lane, S., 1986, Mathematics, Form and Function, New York: Springer.
• Mac Lane, S., 1988, "Concepts and Categories in Perspective", A Century of Mathematics in America, Part I, Providence: AMS, 323–365.
• Mac Lane, S., 1989, "The Development of Mathematical Ideas by Collision: the Case of Categories and Topos Theory", Categorical Topology and its Relation to Analysis, Algebra and Combinatorics, Teaneck: World Scientific, 1–9.
• Mac Lane, S., 1996, "Structure in Mathematics. Mathematical Structuralism", Philosophia Mathematica, 4, 2, 174–183.
• Mac Lane, S., 1997, "Categorical Foundations of the Protean Character of Mathematics", Philosophy of Mathematics Today, Dordrecht: Kluwer, 117–122.
• Mac Lane, S., 1998, Categories for the Working Mathematician, 2^nd edition, New York: Springer-Verlag.
• MacNamara, J. & Reyes, G., (eds.), 1994, The Logical Foundation of Cognition, Oxford: Oxford University Press.
• Makkai, M. & Paré, R., 1989, Accessible Categories: the Foundations of Categorical Model Theory, Contemporary Mathematics 104, Providence: AMS.
• Makkai, M. & Reyes, G., 1977, First-Order Categorical Logic, Springer Lecture Notes in Mathematics 611, New York: Springer.
• Makkai, M., 1987, "Stone Duality for First-Order Logic", Advances in Mathematics, 65, 2, 97–170.
• Makkai, M., 1988, "Strong Conceptual Completeness for First Order Logic", Annals of Pure and Applied Logic, 40, 167–215.
• Makkai, M., 1997a, "Generalized Sketches as a Framework for Completeness Theorems I", Journal of Pure and Applied Algebra, 115, 1, 49–79.
• Makkai, M., 1997b, "Generalized Sketches as a Framework for Completeness Theorems II", Journal of Pure and Applied Algebra, 115, 2, 179–212.
• Makkai, M., 1997c, "Generalized Sketches as a Framework for Completeness Theorems III", Journal of Pure and Applied Algebra, 115, 3, 241–274.
• Makkai, M., 1998, "Towards a Categorical Foundation of Mathematics", Lecture Notes in Logic, 11, Berlin: Springer, 153–190.
• Makkai, M., 1999, "On Structuralism in Mathematics", Language, Logic and Concepts, Cambridge: MIT Press, 43–66.
• Makkei, M. & Reyes, G., 1995, "Completeness Results for Intuitionistic and Modal Logic in a Categorical Setting", Annals of Pure and Applied Logic, 72, 1, 25–101.
• Marquis, J.-P., 1993, "Russell's Logicism and Categorical Logicisms", Russell and Analytic Philosophy, A. D. Irvine & G. A. Wedekind, (eds.), Toronto, University of Toronto Press, 293–324.
• Marquis, J.-P., 1995, "Category Theory and the Foundations of Mathematics: Philosophical Excavations", Synthese, 103, 421–447.
• Marquis, J.-P., 2000, "Three Kinds of Universals in Mathematics?", Logical Consequence: Rival Approaches and New Studies in Exact Philosophy: Logic, Mathematics and Science, Vol. 2, Oxford: Hermes, 191–212.
• Marquis, J.-P., 2000, "Three Kinds of Universals in Mathematics?", in Logical Consequence: Rival Approaches and New Studies in Exact Philosophy: Logic, Mathematics and Science, Vol. II, B. Brown & J. Woods, eds., Oxford: Hermes, 191-212, 2000
• Marquis, J.-P., forthcoming, "Categories, Sets and the Nature of Mathematical Entities", in The Age of Alternative Logics. Assessing philosophy of logic and mathematics today, J. van Benthem, G. Heinzmann, Ph. Nabonnand, M. Rebuschi, H.Visser, eds., Kluwer.
• Mc Larty, C., 1986, "Left Exact Logic", Journal of Pure and Applied Algebra, 41, no. 1, 63–66.
• Mc Larty, C., 1990, "Uses and Abuses of the History of Topos Theory", British Journal for the Philosophy of Science, 41, 351–375.
• Mc Larty, C., 1991, "Axiomatizing a Category of Categories", Journal of Symbolic Logic, 56, no. 4, 1243–1260.
• Mc Larty, C., 1992, Elementary Categories, Elementary Toposes, Oxford: Oxford University Press.
• Mc Larty, C., 1993, "Numbers Can be Just What They Have to", Noûs, 27, 487–498.
• Mc Larty, C., 1994, "Category Theory in Real Time", Philosophia Mathematica, 2, no. 1, 36–44.
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• Moerdijk, I. & Palmgren, E., 1997, "Minimal Models of Heyting Arithmetic", Journal of Symbolic Logic, 62, no. 4, 1448–1460.
• Moerdijk, I. & Palmgren, E., 2002, "Type Theories, Toposes and Constructive Set Theory: Predicative Aspects of AST", Annals of Pure and Applied Logic, 114, no. 1–3, 155–201.
• Moerdijk, I. & Reyes, G., 1991, Models for Smooth Infinitesimal Analysis, New York: Springer-Verlag.
• Moerdijk, I., 1984, "Heine-Borel does not imply the Fan Theorem", Journal of Symbolic Logic, 49, no. 2, 514–519.
• Moerdijk, I., 1995a, "A Model for Intuitionistic Non-standard Arithmetic", Annals of Pure and Applied Logic, 73, no. 1, 37–51.
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• Pareigis, B., 1970, Categories and Functors, New York: Academic Press.
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• Pitts, A. M., 1987, "Interpolation and Conceptual Completeness for Pretoposes via Category Theory", Mathematical Logic and Theoretical Computer Science, Lecture Notes in Pure and Applied Mathematics, 106, New York: Dekker, 301–327.
• Pitts, A. M., 1989, "Conceptual Completeness for First-order Intuitionistic Logic: an Application of Categorical Logic", Annals of Pure and Applied Logic, 41, no. 1, 33–81.
• Pitts, A. M., 1992, "On an Interpretation of Second-order Quantification in First-order Propositional Intuitionistic Logic", Journal of Symbolic Logic, 57, no. 1, 33–52.
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• Reyes, G. & Zawadowski, M., 1993, "Formal Systems for Modal Operators on Locales", Studia Logica, 52, no. 4, 595–613.
• Reyes, G. & Zolfaghari, H., 1991, "Topos-theoretic Approaches to Modality", Category Theory (Como 1990), Lecture Notes in Mathematics, 1488, Berlin: Springer, 359–378.
• Reyes, G. & Zolfaghari, H., 1996, "Bi-Heyting Algebras, Toposes and Modalities", Journal of Philosophical Logic, 25, no. 1, 25–43.
• Reyes, G., 1974, "From Sheaves to Logic", in Studies in Algebraic Logic, A. Daigneault, ed., Providence: AMS.
• Reyes, G., 1991, "A Topos-theoretic Approach to Reference and Modality", Notre Dame Journal of Formal Logic, 32, no. 3, 359–391.
• Rodabaugh, S. E. & Klement, E. P., eds., Topological and Algebraic Structures in Fuzzy Sets: A Handbook of Recent Developments in the Mathematics of Fuzzy Sets, Trends in Logic, 20, Dordrecht: Kluwer.
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• Van der Hoeven, G. & Moerdijk, I., 1984a, "Sheaf Models for Choice Sequences", Annals of Pure and Applied Logic, 27, no. 1, 63–107.
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