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1. Functorial Semantics of Algebraic Theories, Proceedings of the National Academy of Science 50, No. 5
(November 1963), 869-872.
2. Elementary Theory of the Category of Sets, Proceedings of the National Academy of Science 52, No.
6 (December 1964), 1506-1511.
3. Algebraic Theories, Algebraic Categories, and Algebraic Functors, Theory of Models; North-Holland,
Amsterdam (1965), 413-418.
4. Functorial Semantics of Elementary Theories, Journal of Symbolic Logic, Abstract, Vol. 31 (1966),
294-295.
5. The Category of Categories as a Foundation for Mathematics, La Jolla Conference on Categorical Algebra,
Springer-Verlag (1966), 1-20.
6. Some Algebraic Problems in the Context of Functorial Semantics of
Algebraic Theories, Springer Lecture
Notes in Mathematics No. 61, Springer-Verlag (1968), 41-61.
7. Ordinal Sums and Equational Doctrines,
Springer Lecture Notes in Mathematics No. 80, Springer-Verlag
(1969), 141-155.
8. Diagonal Arguments and Cartesian Closed Categories, Springer Lecture Notes in Mathematics No. 92,
Springer-Verlag (1969), 134-145.
9. Adjointness in Foundations, Dialectica
23 (1969), 281-296.
10. Equality in Hyperdoctrines and Comprehension Schema as an Adjoint
Functor, Proceedings of the American
Mathematical Society Symposium on Pure Mathematics XVII (1970),
1-14.
11. Quantifiers and Sheaves, Proceedings
of the International Congress on Mathematics, (Nice 1970),
Gauthier-Villars (1971) 329-334.
12. Introduction to the Proceedings of the Halifax Conference, Toposes,
Algebraic Geometry and Logic, Springer
Lecture Notes in Mathematics No. 274, Springer-Verlag (1972), 1-12
13. Metric Spaces, Generalized Logic and Closed Categories, Rendiconti del Seminario Matematico e Fisico di
Milano 43 (1973), 135-166.
14. Continuously Variable Sets: Algebraic Geometry = Geometric Logic, Proceedings of the Logic Colloquium,
Bristol (1973), North Holland (1975), 135-157.
15. Introduction to Part I of Model Theory and Topoi, Springer Lecture Notes in Mathematics
No.445, Springer-Verlag (1975), 3-14.
16. Variable Quantities and Variable Structures in Topoi, Algebra, Topology and Category Theory,
A Collection in Honor of Samuel Eilenberg, Academic Press (1976), 101-131.
17. Categorical Dynamics in
Proceedings of Aarhus May 1978 Open House on Topos Theoretic Methods in
Geometry (1979), Aarhus/Denmark.
18. Toward the Description in a Smooth Topos of the Dynamically Possible
Motions and Deformations of a Continuous Body,
Cahiers de Topologie et Géométrie Différentielle Catégorique XXI
(1980), 337-392.
19. Review of P. M. Cohn's Universal Algebra, 2nd Edition, American Scientist (May-June 1982), 329.
20. State Categories, Closed Categories, and the Existence of
Semicontinuous Entropy Functions - IMA
Research Report #86, University of Minnesota (1986).
21. Functorial Remarks on the General Concept of Chaos - IMA Research Report #87, University
of Minnesota (1986).
22. Introduction to Categories in Continuum Physics, Springer Lecture Notes in Mathematics No. 1174,
Springer-Verlag (1986).
23. Categories of Spaces may not be Generalized Spaces, as Exemplified by
Directed Graphs, Revista Colombiana de
Matemáticas XX (1986), 179-185.
24. Taking Categories Seriously, Revista
Colombiana de Matemáticas XX (1986), 147-178.
25. Qualitative Distinctions between some Toposes of Generalized Graphs, Proceedings of AMS Boulder 1987 Symposium on
Categories in Computer Science and Logic, Contemporary Mathematics 92
(1989), 261-299.
26. (with G. M. Kelly) On the Complete Lattice of Essential Localizations, Bulletin Société Mathématique de Belgique XLI
(1989), 289-319.
27. Display of Graphics and their Applications, as Exemplified by 2-Categories
and the Hegelian "Taco", Proceedings
of the First International Conference on Algebraic Methodology and Software
Technology, The University of Iowa, (1989).
28. More on Graphic Toposes,
Proceedings of the 1989 Bangor Category Theory Meeting, Cahiers de Topologie
et Géométrie Différentielle Catégorique XXXII - 1 (1991), 5-10.
29. Intrinsic Co-Heyting Boundaries and the Leibniz Rule in Certain
Toposes, Category Theory,
Proceedings Como 1990. Springer Lecture Notes in Mathematics 1488, Springer-Verlag (1991) 279-281.
30. Some Thoughts on the Future of Category Theory, Category Theory, Proceedings Como
1990. Springer Lecture Notes in Mathematics 1488, Springer-Verlag (1991) 1-13.
31. Categories of Space and of Quantity,
International Symposium on Structures in Mathematical Theories (1990), San
Sebastian, Spain; The Space of Mathematics: Philosophical, Epistemological
and Historical Explorations, DeGruyter, Berlin (1992), 14-30.
32. Tools for the Advancement of Objective Logic: Closed Categories and
Toposes, J. Macnamara & G. E. Reyes
(Eds). The Logical Foundations of Cognition, Oxford University
Press (1994), 43-56.
33. Cohesive Toposes and Cantor's "lauter Einsen", Philosophia Mathematica, The Canadian
Society for History and Philosophy of Mathematics, Series III, Vol. 2 (1994),
5-15.
34. Theory of Mathematical Categories,
(1995) Encyclopedia article, publication canceled.
35. Adjoints in and among Bicategories,
Proceedings of the 1994 Siena Conference in Memory of Roberto Magari. Logic
& Algebra, Lecture Notes in Pure and Applied Algebra 180:
181-189, Ed. Ursini/Aglianò, Marcel Dekker, Inc. Basel, New York, (1996).
36. Unity and Identity of Opposites in Calculus and Physics, Proceedings of ECCT 1994 Tours Conference, Applied
Categorical Structures, 4: 167-174 Kluwer Academic Publishers, (1996).
37. Grassmann's Dialectics and Category Theory, Proceedings of the 1994 Conference to commemorate 150 years of
Grassmann's "Ausdehnungslehre", Hermann Günther Grassmann
(1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar, Boston
Studies in the Philosophy of Science, 187: 255-264, Editor Gert
Schubring, Kluwer Academic Publishers, (1996).
38. Kinship and Mathematical Categories,
(in memory of John Macnamara), Language, Logic, and Conceptual
Representation, MIT Press, (Ed. P. Bloom, R. Jackendoff, and K.
Wynn), (1999), 411-425.
39. Categorie e Spazio: Un Profilo, Lettera
matematica PRISTEM 31,
Springer, Italy, (1999), 35-50.
40. Comments on the Development of Topos Theory, Development of Mathematics 1950-2000,
(Ed. J.-P. Pier) Birkhäuser Verlag, Basel, (2000), 715-734.
41. Volterra's functionals and covariant cohesion of space, Supplemento ai Rendiconti del Circolo Matematico
di Palermo, Serie II,
64, (Ed. R. Betti and F. W. Lawvere),
(2000), 201-214.
42. (with J. Adamek and J. Rosicky) How algebraic is algebra? Theory and Applications of Categories,
online publication, vol.8, (2001), 253-283.
43. Linearization of Graphic Toposes via Coxeter Groups, Journal of Pure and Applied Algebra,
vol. 168, (2002), 425-436.
44. Categorical algebra for continuum microphysics, Journal of Pure and Applied algebra 175,
(2002), 267-287.
45. Enriched Categories in the Logic of Geometry and Analysis, Reprint with author commentary of Metric
Spaces, Generalized Logic, and Closed Categories (1973), Reprints in Theory and
Applications of Categories, online
publication, No. 1, (2002), 1-39. (link)
46. (with J. Adamek and J. Rosicky) On the duality between varieties and
algebraic theories, Algebra Universalis,
(2003), 35-49.
47. Foundations and Applications: Axiomatization and Education, The Bulletin of Symbolic Logic, vol.
9, No. 2, (2003), 213-224.
48. Incontro con Ludovico Geymonat, anno 1977, Filosofia, scienza e vita civile nel pensiero di Ludovico Geymonat
(a cura di Fabio Minazzi) La città del sole, Napoli, (2003), 181-185. English: Encounter
with Ludovico Geymonat in 1977.
49. (with J. Adamek and J. Rosicky) Continuous Categories Revisited, Theory
and Applications of Categories, online publication, vol. 11, (2003), 252-282.
50. Concetti fondazionali espliciti nell'insegnamento della matematica,
Matematica e filosofia: il problema
dei fondamenti oggi PRISTEM/Storia 14-15 a cura di Alberverio, Sergio e
Minazzi, Fabio. Atti del Convegno di Mendrisio, 16 novembre 2001.[
Interdisciplinary Encounter on the Problem of Foundations of Mathematics]).
50a. English translation: Explicit foundational concepts in the teaching
of mathematics in Filsofia, scienza e
bioetica nel dibattito contemporaneo a cura di Minazzi, Fabio, Instituto Poligrafico e Zecca dello Stato, Roma (2007).
51. Left and Right Adjoint Operations on Spaces and Data Types, For
Dana Scott's Seventieth Birthday, Copenhagen 2002, Theoretical Computer
Science, Elsevier, vol 316/1-3, (2004)
105-111.
52. Essay Review of:
A new branch of mathematics, "The Ausdehnungslehre of 1844", and
other works by Hermann Günther Grassmann, translated by Lloyd C. Kannenberg,
with foreword by Albert C. Lewis, Open Court Publishing Company, (1995).
and of
Extension Theory, "The Ausdehnungslehre of 1862" by Hermann Günther
Grassmann, translated and with a foreword and notes by Lloyd C. Kannenberg,
History of Mathematics, 19, American Mathematical Society and London
Mathematical Society, (2000).
Historia Mathematica, vol.
32, (2005), pp. 101-106.
53. Reprint with author commentary on both Functorial Semantics of
Algebraic Theories (Thesis 1963) and Some
algebraic problems in the context of functorial semantics of algebraic theories
(1968) Reprints in Theory and
Applications of Categories, online publication, No. 5 (2004) pp 1-121(link)
54. Functorial Concepts of Complexity for Finite Automata, (in honor of Aurelio Carboni's 60th Birthday) Theory
and Applications of Categories, online publication, vol 13, (2005) (link).
55. Reprint with author commentary, Taking Categories Seriously (1986) Reprints in Theory and Applications of Categories,
online publication, No. 8, (2005),
pp. 1-24 (link)
56. Reprint with author commentary Categories of Spaces may not be
Generalized Spaces, as Exemplified by Directed Graphs(1986) Reprints in Theory and Applications of Categories,
online publication, No. 9, (2005),
pp. 1-7 (link)
57. Long version with commentary by the author and by Colin McLarty: An
Elementary theory of the category of sets (1964) (long version) Reprints in Theory and Applications of Categories,
online publication, No. 11, (2005),
pp. 1-35 (link)
58. Reprint with author commentary Diagonal Arguments and Cartesian
Closed Categories (1969) Reprints in
Theory and Applications of Categories, online publication, No. 15, (2006), pp. 1-13. (link)
59. Reprint with author commentary Adjointness in Foundations (1969) Reprints in Theory and Applications of Categories,
online publication, No. 16, (2006),
1-16. (link)
60. Review of Synthetic Differential Geometry Second Edition by Kock,
Anders. SIAM Review, Vol 49, 349-350, (2007). (on page 349 there is a slip:
K.T. Chen’s proposed category certainly has smooth function spaces).
61. Axiomatic Cohesion Theory and
Applications of Categories, online publication, Special volume
from the CT2006 Conference at Whitepoint Nova Scotia, vol 19, (2007), 41-49. (link)
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