Catálogo de obras de Rolando Chuaqui

Extraído de su obituario, publicado en la Revista Notas de la Sociedad de matemáticas de Chile en 1994. Ver PDF¹.

 

Scientific papers

1- R. Chuaqui, Cardinal algebras and measures invariant under equivalence relations, Transactions of the American Mathematical Society, 142(1969) , 61-79

2- R. Chuaqui, Cardinal algebras of functons and integration, Fundamenta Mathematicae, 71 (1971), 77-84.
Abstract: A characterization of Lebesgue measure in terms of translations, Notices of the American Mathematical Society, 17 (1970) 159-159.

3- R. Chuaqui, A representation theorem for lineratly orderded cardinal algebras, Fundamenta Mathematicae, 71 (1971), 85-91.
Abstract: A representation theorem for lineraly ordeder cardina algebras, The journal of Symboplic Logic, 36 (1971), 578-578.

4- R.Chuaqui, Forcing for the impredicative theory of classes, The Journal of Symbolic Logic, 37 (1972), 1-18.
Abstract: Forcing for Morse’s set theory, The Journal of Symbolic Logic, 38 (1973), 354-355.

5- R.Chuaqui, Simple cardinal algebras and invariant measures, Notas Matemáticas, Universidad Católica de Chile, 6 (1976), 106-131.
Abstract 1: Some properties of real multiples in cardinal algebras, Notices of the American Mathematical Society, 21 (1974), A288-A288
Abstract 2: Completely divisible cardinal algebras, Notices of the American Mathematical Society, 21 (1974), A523-A523.
Abstract 3: A clasification of simple cardinal algebras, Notices of the American Mathematical Society, 21 (1974), A587-A587.

6- R. Chuaqui, A Semantical definition of probability, Non-Classical Logics, Model Theory and Computability, A. I. Arruda, N. C. A. da Costa and R. Chuaqui (editors), Studies in Logic and the Foundation of Mathematics 89 (1977), 135-168, North-Holland Pub. Co., Amsterdam, New York and Oxford.
Abstract 1: A model-theoretical definition of probability, Contributed Papers, 5th International Congress of Logic, Methodology, and Philosophy of Science, London, Ontario, 1975, pp. VI-7, 8.
Abstract 2: A semantical definition of probability, The journal of Symbolic Logic, 43 (1978), 256-357.

7- R. Chuaqui, Measures invariant under a group of transformations, Pacific Journal of Mathematics, 68 (1977), 313-329.
Abstract 1: The existence of invariant measures and paradoxical decompositions, Notices of the American Mathematical Society, 20 (1973), A636-A636

8- R. Chuaqui, Bernay’s class theory, Mathematical Logic: Proceedings of the First Brazilian Conference, A. I. Arruda, N. C. A. da Costa and R. Chuaqui (editors), Lecture Notes in Pure and Applied Mathematics 39 (1978), 31-55, Marcel Dekker Inc., New York.

9- M. Corrada and R. Chuaqui, Internal Models for finite subsets of axioms of the impredicative theory of classes, Mathematical Logic: Proceedings of the First Brazilian Conference, A. I. Arruda, N. C. A. da Costa and R. Chuaqui (editors), Lecture Notes in Pure and Applied Mathematics 39 (1978), 73-97, Marcel Dekker Inc., New York.

10- M.V Marshall and R. Chuaqui, Constructibility in the impredicative theory of classesMathematical Logic: Proceedings of the First Brazilian Conference, A. I. Arruda, N. C. A. da Costa and R. Chuaqui (editors), Lecture Notes in Pure and Applied Mathematics 39 (1978), 179-202, Marcel Dekker Inc., New York.

11- R. Chuaqui, Probability as between truth and falsity, Abstracts, Sections 5 and 7, 6th International Congress of Logic, Methodology and Philosophy of Science, Hannover, 1979, pp. 227-231-

12- I. Mikenberg and R. Chuaqui, Equational classes of partial algebras, Abstracts, Sections 1, 2 , 3 and 4, 6th International Congress of Logic, Methodology and Philosophy of Science, Hannover, 1979, pp.127-131.

13- R. Chuaqui, El significado de la probabilidad, incorporation adress, Academia Chilena de Ciencias, 1977, Boletín de la academia Chilena de Ciencias, 2 N°2 (1984), 26-31. Also appeared in:
(a) Boletín de educación matemática, Centro de Perfeccionamient, Experimentación e Investigaciones Pedagógicas, 9 (1979), 4-8.
(b) Antología de la lógica de América Latina, C.E.L.I.J.S., Universidad de Carabobo, Venezuela, Colección Investigaciones, Fundación Banco Exterior, Madrir, 1988, pp. 431-442

14- R. Chuaqui, Foundations of statistical methods using a semantical definition of probability, Mathematical Logic in Latin America, A. I. Arruda, R. Chuaqui and N. C. A. da Costa (editors), Studies in Logic and the Foundations od Mathematics 99 (1980), 103-119, North-Holland Pub. Co., Amsterdam, New York and Oxford.
Abstract: Foundations of statistical methods using a semantical definition of probability, The Journal of Symbolic Logic, 46 (1981), 183-183.

15- M. G. Schwarze and R. Chuaqui, Axiomatizaons of σ-additive measurements, Mathematical Logic in Latin America, A. I. Arruda, R. Chuaqui and N. C. A. da Costa (editors), Studies in Logic and the Foundations od Mathematics 99 (1980), 351-364, North-Holland Pub. Co., Amsterdam, New York and Oxford.
Abstract 1: Measures on qualitativa probability σ.algebras, Notices of the American Mathematical Society, 24 (1977), A440-A440
Abstract 2: Axiomatizations for σ-additive measurements systems, The Journal of Symbolic Logic, 46 (1981), 188-188

16- R. Chuaqui, Internal and forcing models for the impredicative theory of classes, Dissertationes Mathematicae, 176 (1980), 1-64. Parts of the contents of this paper also appeared in:
Complexity of axiom systems for the impredicative theory of clases, in Atas do simpósio de lógica matemática, Universidad Estadual de Campinas, 1975, pp. 9-17

17- R. Chuaqui, Platonism as philosophical foundations of mathematics, Proceedings of the Third Brazilian Conference on Mathematical Logic. A. I. Arruda, N. C. A da Costa and A. M. Sette (editors), Sociedade Brasilera de Lógica, São Paulo, 1980, pp. 35-48.

18- R. Chuaqui, Limitaciones matemáticas de los métodos computacionales, Aportes Matemáticos, Universidad de Tarapacá, 2 (1982), 39-98.

19- R. Chuaqui, Escuelas de interpretación del concepto de probabilidad, Revista Colombiana de Estadística, 5 (1982), 21-34.

20- R. Chuaqui and J. I. Malitz, Preorderings compatible with probability measures, Transactions of the American Mathematical Society, 278 (1983), 811-824.
Abstract: Preorderings compatible with probability measures, Abstracts of the Ametican Mathematical Society, 3 (1982), 215-215.

21- R. Chuaqui, Restricted Platonism and the teaching of mathematics, Proceedings of the Foruth International Congress on Mathematical Education, Berkeley, 1980, M. Zweng, T. Green, J. Kilpatrick, H. Pollak and M. Suydam (editors), Birkhauser, Boston, 1983, pp. 447-449.

22- R. Chuaqui, How to decide between different methods of statistical inference, Mathematical Logic and Formal Systems, volume in honor of Newton C. A. da Costa, L. P. de Alcantara (editor), Lecture Notes in Pure and Applied Mathematics 94 (1985), 43-56, Marcel Dekker Inc., New York.

23- R. Chuaqui, Models for probability, Analysis, Geometry and probability, R. Chuaqui (editor), Lecture Notes in Pure and Applied Mathematics 96 (1985), 89-120, Marcel Dekker Inc., New York.

24- R. Chuaqui and L. Bertossi, Approximation to truth and theroy of errors, Methods of Mathematical Logic, C. A. Di Prisco (editor), Lecture Notes in Mathematics, 1130 (1985), 13-31, Springer-Verlag, Berlin, Heidelberg, New York and Tokyo.

25- W. N. Reinhardt and R. Chuaqui, Types un clas set theory, Methods of Mathematical Logic, C. A. Di prisco (editor), Lecture Notes in Mathematics 1130 (1985), 385-394, S´ringer-Verlag, Berlin, Heildeberg, New York and Tokyo

26- R. Chuaqui, Factual and cognitive probability, Proceedings of the Fifth Latin American Symposium on MAthematical Logic, Bogotá, 1981, X. Caicedo, N. C. A. da Costa and R. Chuaqui (editors), Revista Colombiana de matemáticas, 19 (1985), 43-57.
Abstract: The semantical definition of probability and classical statistical inference, The Journal of Symbolic Logic, 48 (1983), 885-885.

27- I. Mikenberg, N. C. A. Da Costa and R. Chuaqui, Pragmatic truth and approximation to truth, The Journal of Symbolic Logic, 51 (1986), 201-221-

28- R. Chuaqui, Algunas observaciones sobre la relación entre la fe religiosa y la teología y las ciencias exactas y naturales, Teología y Vida, 27 (1986), 89-102.

29- R. Chuaqui, Sets of relational systems as models for stochastic processes, Methods and Applications of Mathematical Logic, L. P. de Alcántara and W. Carnielli (editors), Contemporary Mathematics, American Mathematical Society, 69 (1988), 117-148.
Abstract: Sets of two-sorted relational systems as models for probability, The Journal of Symbolic Logic, 51 (1986), 1431-1431.

30- N. C. A. Da Costa and R. Chuaqui, On Suppes’set theoretical predicates, Erkenntniss, 29 (1988), 95-112.

31- R. Chuaqui, Probability based on possibility, Actas del Congreso Internacional Extraordinario de Filosofía, Córdoba, Argentina, 1987, pp. 945-954. Spanish Translation, pp. 955-965.

32- R. Chuaqui, Probabilistic models, Logic Colloquium’88, Proc. of the European Logic Colloquium, Padova, 1988, R. Ferro, C. Bonotto, S. Valentini and A. Zanardo (editors), Studies in Logic and the Foundations of Mathematics 127 (1989), 287-317, North Holland, Amsterdam, New York and Oxford.

33- R. Chuaqui and P. Suppes, An equational deductive system for the differential and integral calculus, Colog 88. Proceedings of the Conference on Computer Logic, Tallinm, 1988, P. Martin-Löf and G. Mints (editors), LEcture Notes in Computer Science, 417 (1900), 25-49, Springer Verlag, Berloin, Heildeberg, New York y Tokyo.  Complete detailed version:
An equational Deductiva System for the Differential and Integral Calculus, Technical Report #313, Institute for Mathematical Studies in the Social Sciences, Standford University, 1989, 176 pp.

34- R. Chuaqui and N. Bertoglio, Nonstandard foudations of integration, Notas de la Sociedad de Matemática de Chile, XII/XIII, 1993/994, N°1, 13-42

35- R. Chuaqui, Nonstandard analysis without transfer, Proceedings of the first Logic Congress, May 5-7, 1990, Tehran, Iran, S. Etemad, M. J. A. Larijani and Z. Mohaved, (editors), IPM Proceedings Serires N°1, Thran, 1992, pp. 282-297.

36- R. Chuaqui, ¿De dónde proviene nuestra certeza?, Segunda Jornada de Posgrado, 1990, P. Universidad Católica de Chile, pp. 39-45.

37- R. Chuaqui, Causalidad en ciencia, Educación Médica U.C., 9 (1991), 123-134.

38- R. Chuaqui and J. I. Malitz, The geometry of legal principles, Theory and Decision, 30 (1991), 27-49.

39- M. V. Marshall and R. Chuaqui, Sentences of the type theory: the only sentences preserved under isomorphisms, The Journal of Symbolic Logic, 56 (1991), 932-948.

40- R. Chuaqui, Verdad, posibilidad y probabilidad, Actas, 64° Encuentro de Matemática, G.Bobadilla, V. Cortés, R. Labarca anmd O. Rojo (editors), Sociedad de Matemática de Chile, 1992, pp. 1-11

41- R. Chuaqui, Inferencia estadística: Lógica de aceptación provisoria de proposiciones, Anales de la Academia de Ciencias Exactas, Físicas y Naturales, Buenos Aires, 43 (1992), 1-23

42- T. Bedrax and R. Chuaqui, Infmal: Infinitesimal analysis interactive theorem prover and problem solver, Proc. of the XII International Congress of the SCCC, S. Mujica and A. Vía (editors), Sociedad Chilena de Ciencia de la Computacion, pp. 97-112.

43- T. Bedrax and R. Chuaqui, Un sistema para demostrar teoremas y resolver problemas del cálculo: un prototipo, Apuntes de Ingeniería, 47 (1993), 83-85.

44- R. Chuaqui, Random sequiences and hypotheses tests, Patrick Suppes, Scientific Philosopher, Volume 1: Probability, Probabilistic Causality, Learning and Action Theory, P. Humphreys (editor), Kluwer Academic Publishers, Dordrecht, 63-85

45- N. Bertoglio and R. Chuaqui, An elementary geometric nonstandar proof of Jordan curve theorem, Geometriae Dedicata, 51:15-27, 1994.

46- R. Chuaqui and P. Suppes, Foundations of infinitesimal analýsis: a fragment with finitary consistency proof, The Journal of Symbolic Logic, 60 (1995), 122-159.

47- P. Suppes and R. Chuaqui, A finitarily consistent free-variable positive fragment of infinitesumal analysis, Proc. of the IX Latin American Symposium on Mathematical Logic, 1993, 1-59

48- R. Chuaqui and R. Rebolledo, The nonstandard representation of a quantum probability space, Actas del IV Simposio Chileno de Matemáticas, 1993, 110-111-

49- N. C. A. da Costa, R. Chuaqui and O. Bueno, The Logic of Quasi-truth, this volume.

Research Books

50- R. Chuaqui, Axiomatic Set Theory: Impredicative Theories of Classes, Mathematic Studies 51, Notas de Matemática 78, North-Holland Pub.Co., Amsterdam, New York and Oxford, 1981, XV+386 pp.

51- R. Chuaqui, Truth, Possibility and Probability: New Logical Foundations of Probability and Statistical Inference, Mathematics Studies 166, North-Holland, Amsterdam, New York and Oxford, 1991, XVIII+484 pp.

Texts

52- R. Chuaqui, Introducción a la metamatemática y sus aplicaciones, Publicaciones del Intituto de Matemática, P. Universidad Católica de Chile, SAntiago de Chile, 1976, 83 pp.

53- R. Chuaqui, ¿Qué son los números? El método Axiomático, Fascículos para la comprensión de las ciencias, las humanidades y la tecnología 30, Editorial Universitaria, Santiago de Chile, 1980, 128 pp.

54- N. Bertoglio and R. Chuaqui, Introducción al análisis infinitesimal, Facultad de Matemáticas, P. Universidad Católica de Chile, Santiago de Chile, 708 pp.

Long Reviews

55- R. Chuaqui, Review of Fundamentals of Contemporary Set Theory by Keith J. Devlin (Springer-Verlag, New York, Heildeberg and Berlin, 1979), The Journal of Symbolic Logic, 46 (1981), 419-420.

56- R. Chuaqui, Review of Obras Completas by Kurt Gödel, Spanish translation and commentaries by Jesús Mosterín (Alianza Editorial, Madrid, 1981), The Journal of Symbolic Logic, 48 (1983), 1199-1201.

57- R. Chuaqui, Review of Ensaio sobre os fundamentos da lógica by Newton C. A. da Costa (Editora Hucitec, Editora da Universidade de São Paulo, 1980), The Journal of Symbolic Logic, 56 (1991), 1500-1503.

Other papers

58- A. I. Arruda, N. C. A Da Costa and R. Chuaqui, A Short history of the Latin American Logic Symposium, Non-Classical Logics, Model Theory and Computability,  A. I. Arruda, N. C. A da costa y R. Chuaqui (editors), Studies in Logic and the Foundation of Mathemaics 89 (1977), IX-XVIII, North-Holland Pub. Co., Amsterdam, New York and Oxford.

59- R. Chuaqui, Modelos en lógica matemática, Algunas reflexiones sobre modelos, B. Philipi (editor), Ediciones Nueva Universidad, Santiago de Chile, 1978, pp. 83-90.

60- R. Chuaqui, Platonismo y Matemática, Revista Universitaria, P. Universidad Católica de Chile, 4 (1980), 92-100.

61- R. Chuaqui, Las ciencias matemáticas en Chile, Las actividades de investigación y desarrollo en Chile: Una visión de la comunidad científica nacional, J. Lavados and I. Saavedra (editors), Corporación de Promoción Universitaria (CPU), Santiago de Chile, 1981, pp. 9-21.

62- R. Chuaqui, La autorreferencia en matemática, Revista Universitaria, P. Universidad Católica de Chile, 9 (1983), 114-121.

63- R. Chuaqui, Alfred Tarski, matemático de la verdad, Revista Universitaria, P. Universidad Católica de Chile, 11 (1984), 31-34. Portuguese translation:
– Alfred Tarski, matemático da verdade, Boletín da Sociedade Paraenense de Matemática, 2a série, 6 (1985), 1-10.

64- N. C. A. da Costa y R. Chuaqui, Interpretaciones y modelos en ciencia, Revista universitaria, P. Universidad Católica de Chile, 16 (1985), 72-79. Portuguese translation:
(a) Interpretaçoes e modelos em ciencia, Boletim da Sociedade Paraenense de Matemática, 2a serie, 8 (1987), 257-275. 
(b) Interpretaçoes e modelos em ciencia, Razo/Desrazo, C. S. Katz and F. A. Doria  (editors), Vozes, Petrópolis, págs. 202-214.

65- R. Chuaqui, Consecuencias filosóficas del teorema de Gödel sobre máquinas y mentes, en Chile también hay ciencia. Problemas contemporáneos de ciencias básicas vistos por científicos chilenos,  J. Ihoda, J. Melnick, and S. Melnick (editors), Universidad de Chile, Facultad de Ciencias Económicas y Administrativas, 1986, pp. 147-159.

66- R. Chuaqui, Probabilidad: confluencia entre filosofía, ciencia y aplicaciones prácticas, Revista Universitaria, P. Universidad Católica de Chile, 37 (1992), 15-19.

67- R. Chuaqui, Recuerdos de un matemático, Hermann Nemeyer y la Ciencia en Chile, Archivos de Biología y Medicina Experimentales, 25 (1992), 87-88.

68- A. I. Arruda, N. C. A Da Costa and R. Chuaqui, Non-Classical Logics, Model Theory and Computability, Studies in Logic and the Foundations of Mathematics 89, North-Holland Pub. Co., Amsterdam, New York and Oxford, 1977, XVIII+307 pp.

69- A. I. Arruda, N. C. A Da Costa and R. Chuaqui, Mathematical Logic: Proceedings of the First Brazilian Conference, Lecture Notes in Pure and Applied Mathematics 39, MArcel Dekker Inc., New York, 1978, XII+303 pp.

70- A. I. Arruda, N. C. A Da Costa and R. Chuaqui, Mathematical Logic in Latin America, Studies in Logic and the Foundations of Mathematics 99, North-Holland Pub. Co., Amsterdam, New York and Oxford, 1980, XII+392 pp.

71- R. Chuaqui, Analysis, Geometry and Probability, Lecture Notes in Pure and Applied Mathematics 96, MArcel DEkker Inc., New York, 1985, VIII+274 pp.

72- X. Caicendo, N. C. A. Da Costa and R. Chuaqui, Proceedings of the fifth Latin American Symposium on Mathematical Logic, Revista Colombiana de Matemáticas, Número Especial, 19, N° 1-2, Marzo-Junio 1985, V+230 pp.


¹Agradecemos a la familia Chuaqui por guardar este documento y dejarnos acceder a él para su publicación.