About this topic
Summary Logic and philosophy of science and mathematics did not develop in Latin American philosophy until the second half of the twentieth century. At present, they are cultivated mostly by philosophers working in the analytic tradition. But it is not uncommon to find interest in these areas among some Thomists and historians of philosophy. 
Key works The greatest contribution to logic from Latin America is paraconsistent logic, first outlined by Peruvian Francisco Miro´ Quesada and later developed by the Brazilian Newton da Costa and his collaborators. Argentine Carlos Alchourron has made a contribution to epistemology through his original theory of belief revision, developed with colleagues from outside Latin America. Noteworthy contributions to philosophy of science include Ulises C. Moulines's structuralism in science, Mario Bunge's scientific realism, and Roberto Torretti’s historical approach to the foundations of physics.
Introductions Introductory sources in this category include Bunge 1963, Bunge 1962, Moulines 1976, Moulines 1980, Moulines 2010, Arlo-Costa 2000, da Costa et al 2007, and Costa et al 1997
Related categories

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  1. BERARD, TJ,“Rethinking Practices and Structures,” 196. BUNGE, MARIO,“Who Rules in Science? An Opinionated Guide to the Wars by James Robert Brown”[Book Review], 250. COLLINS, RICHARD,“Broadcasting and Convergence. New Articulations of The. [REVIEW]Joseph Agassi - 2005 - Philosophy of the Social Sciences 35 (4):523-525.
  2. The Interface of Philosophy and Physics. [REVIEW]Joseph Agassi - 1972 - Philosophy of Science 39 (2):263 - 265.
  3. Scientific Philosophy Today Essays in Honor of Mario Bunge.Joseph Agassi, R. S. Cohen & Mario Augusto Bunge - 1982
  4. Philosophy and the Origin and Evolution of the Universe.Evandro Agazzi & Alberto Cordero (eds.) - 1991 - Kluwer Academic Publishers.
  5. On Law and Logic.Carlos E. Alchourron - 1996 - Ratio Juris 9 (4):331-348.
    The main purpose of this paper is to explore the role played by logic in the legal domain. In the traditional conception which underlies the movement of codification, judges are able to find in the legal system (the Master System) a unique answer for every legal problem. This entails its completeness, consistency and the possibility of deriving from it the contents of all judicial decisions. Although the ideal model of this conception is supported by important theoretical and political ideals, it (...)
  6. Detachment and Defeasibility in Deontic Logic.Carlos E. Alchourrón - 1996 - Studia Logica 57 (1):5 - 18.
    The purpose of the paper is to present a logical framework that allow to formalize a kind of prima facie duties, defeasible conditional duties, indefeasible conditional duties and actual (indefeasible) duties, as well as to show their logical interconnections.
  7. Conflicts of Norms and the Revision of Normative Systems.Carlos E. Alchourrón - 1991 - Law and Philosophy 10 (4):413 - 425.
  8. On the Philosophical Adequacy of Set Theories.Carlos E. Alchourrón - 1987 - Theoria 2 (2):567-574.
  9. Prescripciones y normas: la teoría de Castañeda.Carlos E. Alchourrón - 1981 - Critica 13 (38):3 - 27.
  10. The Intuitive Background of Normative Legal Discourse and its Formalization.Carlos E. Alchourrón - 1972 - Journal of Philosophical Logic 1 (3/4):447 - 463.
  11. On the Logic of Theory Change: Partial Meet Contraction and Revision Functions.Carlos E. Alchourrón, Peter Gärdenfors & David Makinson - 1985 - Journal of Symbolic Logic 50 (2):510-530.
    This paper extends earlier work by its authors on formal aspects of the processes of contracting a theory to eliminate a proposition and revising a theory to introduce a proposition. In the course of the earlier work, Gardenfors developed general postulates of a more or less equational nature for such processes, whilst Alchourron and Makinson studied the particular case of contraction functions that are maximal, in the sense of yielding a maximal subset of the theory (or alternatively, of one of (...)
  12. Maps Between Some Different Kinds of Contraction Function: The Finite Case.Carlos E. Alchourrón & David Makinson - 1986 - Studia Logica 45 (2):187 - 198.
    In some recent papers, the authors and Peter Gärdenfors have defined and studied two different kinds of formal operation, conceived as possible representations of the intuitive process of contracting a theory to eliminate a proposition. These are partial meet contraction (including as limiting cases full meet contraction and maxichoice contraction) and safe contraction. It is known, via the representation theorem for the former, that every safe contraction operation over a theory is a partial meet contraction over that theory. The purpose (...)
  13. On the Logic of Theory Change: Safe Contraction.Carlos E. Alchourrón & David Makinson - 1985 - Studia Logica 44 (4):405 - 422.
    This paper is concerned with formal aspects of the logic of theory change, and in particular with the process of shrinking or contracting a theory to eliminate a proposition. It continues work in the area by the authors and Peter Gärdenfors. The paper defines a notion of safe contraction of a set of propositions, shows that it satisfies the Gärdenfors postulates for contraction and thus can be represented as a partial meet contraction, and studies its properties both in general and (...)
  14. On the Logic of Theory Change: Contraction Functions and Their Associated Revision Functions.Carlos E. Alchourron & David Makinson - 1982 - Theoria 48 (1):14-37.
  15. Logic Without Truth.Carlos E. Alchourron & Antonio A. Martino - 1990 - Ratio Juris 3 (1):46-67.
  16. Lógica Sin Verdad.Carlos E. Alchourron & Antonio A. Martino - 1987 - Theoria 3 (1):7-43.
    1. EI dilema de Jørgensen. 2. La salución propuesta. 3. Breve historia de un prejudicio filosófico. 4. Normas sin lógica (o los precios ontológicos). 4.1. Imperativos sin lógica. 4.2. Normas y proposicienesnormativas. 4.3. Proposiciones normativas y normas verdaderas. 4.4. Mundos posibles. 4.5. Validez e invalidez. 4.6. La racionalidad del legislador. 5. La noción abstracta, sintáctica y semántica de consecuencia. 5.1. La noción abstracta de consecuencia. 5.2. La noción sintáctica de consecuencia. 5.3. La noción semántica de consecuencia. 5.4. EI sentido dado (...)
  17. About Mario Bunge's 'a Critical Examination of Dialectics'.Ravel Apostol - 1985 - Studies in East European Thought 29 (2):89-136.
  18. About Mario Bunge's?A Critical Examination of Dialectics?Ravel Apostol - 1985 - Studies in Soviet Thought 29 (2):89-136.
  19. Formal Epistemology and Logic.Horacio Arló-Costa & Eduardo Fermé - 2010 - In Susana Nuccetelli, Ofelia Schutte & Otávio Bueno (eds.), A Companion to Latin American Philosophy. Wiley-Blackwell.
  20. Social Norms, Rational Choice and Belief Change.Horacio Arlo-Costa & Arthur Paul Pedersen - unknown
    This article elaborates on foundational issues in the social sciences and their impact on the contemporary theory of belief revision. Recent work in the foundations of economics has focused on the role external social norms play in choice. Amartya Sen has argued in [Sen93] that the traditional rationalizability approach used in the theory of rational choice has serious problems accommodating the role of social norms. Sen's more recent work [Sen96, Sen97] proposes how one might represent social norms in the theory (...)
  21. Meeting of the Association for Symbolic Logic: Bogotá, Colombia, 1981.Ayda I. Arruda, Xavier Caicedo, Rolando Chuaqui & Newton C. A. Costa - 1983 - Journal of Symbolic Logic 48 (3):884-892.
  22. Meeting of the Association for Symbolic Logic: Bogotá, Colombia, 1981.Ayda I. Arruda, Xavier Caicedo, Rolando Chuaqui & Newton C. A. da Costa - 1983 - Journal of Symbolic Logic 48 (3):884 - 892.
  23. Mathematical Logic in Latin America: Proceedings of the IV Latin American Symposium on Mathematical Logic Held in Santiago, December 1978.Ayda I. Arruda, R. Chuaqui & Newton C. A. Costa (eds.) - 1980 - Sole Distributors for the U.S.A. And Canada, Elsevier North-Holland.
    (or not oveA-complete.) . Let * be a unary operator defined on the set F of formulas of the language £ (ie, if A is a formula of £, then *A is also a ...
  24. Non-Classical Logics, Model Theory, and Computability: Proceedings of the Third Latin-American Symposium on Mathematical Logic, Campinas, Brazil, July 11-17, 1976. [REVIEW]Ayda I. Arruda, Newton C. A. Costa & R. Chuaqui (eds.) - 1977 - Sale Distributors for the U.S.A. And Canada, Elsevier/North-Holland.
  25. Meeting of the Association for Symbolic Logic: Campinas, Brazil 1976.Ayda I. Arruda, Francisco Miro Quesada, Newton C. A. Da Costa & Rolando Chuaqui - 1978 - Journal of Symbolic Logic 43 (2):352-364.
  26. Meeting of the Association for Symbolic Logic: Campinas, Brazil 1976.Ayda I. Arruda, Francisco Miró Quesada, Newton C. A. Da Costa & Rolando Chuaqui - 1978 - Journal of Symbolic Logic 43 (2):352 - 364.
  27. Critical Studies/Book Reviews 319.Jody Azzouni & Otavio Bueno - unknown
    Ask a philosopher what a proof is, and you’re likely to get an answer hii empaszng one or another regimentationl of that notion in terms of a finite sequence of formalized statements, each of which is either an axiom or is derived from an axiom by certain inference rules. (Wecan call this the formal conception of proof) Ask a mathematician what a proof is, and you will rbbl poay get a different-looking answer. Instead of stressing a partic- l uar regimented (...)
  28. On Theoreticity.Wolfgang Balzer & C. Ulises Moulines - 1980 - Synthese 44 (3):467 - 494.
  29. La systémique de Mario Bunge.Hervé Barreau - 1985 - Revue de Métaphysique et de Morale 90 (1):106 - 112.
  30. The Simple Liar Without Bivalence?Jc Beall & Otávio Bueno - 2002 - Analysis 62 (1):22–26.
  31. Report: Symposium on the Philosophy of Chemistry, Universidad de Los Andes, Bogota, Colombia, 21-23 July 2009.Andrés Bernal, Guillermo Restrepo & José L. Villaveces - 2010 - Hyle 16 (1):43 - 45.
  32. Ciencia y Filosofía En México En El Siglo Xx.Mauricio Beuchot - 2006 - Universidad Nacional Autónoma de México.
    Ciencia y filosofía en Arturo Rosenblueth -- Algunos temas filosóficos de Antonio Gómez Robledo -- Leopoldo Zea y el problema de la filosofía latinoamericana -- Juan Hernández Luna y la historiografía de la filosofía en el México colonial -- Bernabé Navarro, filósofo -- Ontología y poesía en Ramón Xirau -- José Rubén Sanabria, un existencialista mexicano -- Fernando Salmerón y la filosofía -- Individuos y universales en Adolfo García Díaz -- Abelardo Villegas y los derechos humanos -- Aspectos del filosofar (...)
  33. Lógica y Metafísica En la Nueva España.Mauricio Beuchot - 2006 - Instituto de Investigaciones Filosóficas.
  34. Filosofia y Ciencia. Historia Del Pensamiento Racional.Juan Carlos García Borrón - 1971 - Teide.
  35. Book Review:Quantum Theory and Reality Mario Bunge. [REVIEW]Jeffrey Bub - 1968 - Philosophy of Science 35 (4):425-.
  36. Empirical Adequacy: A Partial Structures Approach.O. Bueno - 1997 - Studies in History and Philosophy of Science Part A 28 (4):585-610.
    Based on da Costa's and French's notions of partial structures and pragmatic truth, this paper examines two possible characterizations of the concept of empirical adequacy, one depending on the notion of partial isomorphism, the other on the hierarchy of partial models of phenomena, and both compatible with an empiricist view. These formulations can then be employed to illuminate certain aspects of scientific practice.
  37. Yablo's Paradox and Referring to Infinite Objects.O. Bueno & M. Colyvan - 2003 - Australasian Journal of Philosophy 81 (3):402 – 412.
    The blame for the semantic and set-theoretic paradoxes is often placed on self-reference and circularity. Some years ago, Yablo [1985; 1993] challenged this diagnosis, by producing a paradox that's liar-like but does not seem to involve circularity. But is Yablo's paradox really non-circular? In a recent paper, Beall [2001] has suggested that there are no means available to refer to Yablo's paradox without invoking descriptions, and since Priest [1997] has shown that any such description is circular, Beall concludes that Yablo's (...)
  38. Review. An Essay on Contraction. A Fuhrmann.O. Bueno & S. French - 2000 - British Journal for the Philosophy of Science 51 (3):513-517.
  39. Outline of a Paraconsistent Category Theory.Otavio Bueno - unknown
    The aim of this paper is two-fold: (1) To contribute to a better knowledge of the method of the Argentinean mathematicians Lia Oubifia and Jorge Bosch to formulate category theory independently of set theory. This method suggests a new ontology of mathematical objects, and has a profound philosophical significance (the underlying logic of the resulting category theory is classical iirst—order predicate calculus with equality). (2) To show in outline how the Oubina-Bosch theory can be modified to give rise to a (...)
  40. Nominalism and the Application of Mathematics.Otávio Bueno - 2012 - Metascience 21 (2):301-304.
    Nominalism and the application of mathematics Content Type Journal Article Category Book Review Pages 1-4 DOI 10.1007/s11016-012-9653-6 Authors Otávio Bueno, Department of Philosophy, University of Miami, Coral Gables, FL 33124, USA Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.
  41. When Physics and Biology Meet: The Nanoscale Case.Otávio Bueno - 2011 - Studies in History and Philosophy of Science Part C 42 (2):180-189.
    As an illustration of the complexities involved in connecting physics and molecular biology at the nanoscale, in this paper I discuss two case studies from nanoscience. The first examines the use of a biological structure to build nanostructures in a controlled way. The second discusses the attempt to build a single molecular wire, and then decide whether such a wire is indeed conducting. After presenting the central features of each case study, I examine the role played in them by microscopic (...)
  42. A Defense of Second-Order Logic.Otávio Bueno - 2010 - Axiomathes 20 (2-3):365-383.
    Second-order logic has a number of attractive features, in particular the strong expressive resources it offers, and the possibility of articulating categorical mathematical theories (such as arithmetic and analysis). But it also has its costs. Five major charges have been launched against second-order logic: (1) It is not axiomatizable; as opposed to first-order logic, it is inherently incomplete. (2) It also has several semantics, and there is no criterion to choose between them (Putnam, J Symbol Logic 45:464–482, 1980 ). Therefore, (...)
  43. Models and Scientific Representations.Otávio Bueno - 2010 - In P. D. Magnus & Jacob Busch (eds.), New Waves in Philosophy of Science. Palgrave-Macmillan. pp. 94--111.
  44. Structuralism and Information.Otávio Bueno - 2010 - Metaphilosophy 41 (3):365-379.
    Abstract: According to Luciano Floridi (2008) , informational structural realism provides a framework to reconcile the two main versions of realism about structure: the epistemic formulation (according to which all we can know is structure) and the ontic version (according to which structure is all there is). The reconciliation is achieved by introducing suitable levels of abstraction and by articulating a conception of structural objects in information-theoretic terms. In this essay, I argue that the proposed reconciliation works at the expense (...)
  45. Hetherington, Stephen, Ed., Epistemology Futures , Oxford: Clarendon Press, 2006, X + 241, Us$54.00 (Cloth).Otávio Bueno - 2010 - Australasian Journal of Philosophy 88 (1):181 – 183.
  46. Functional Beauty: Some Applications, Some Worries.Otávio Bueno - 2009 - Philosophical Books 50 (1):47-54.
  47. Fitch's Paradox and the Philosophy of Mathematics.Otavio Bueno - 2009 - In Joe Salerno (ed.), New Essays on the Knowability Paradox. Oxford University Press.
  48. Sosa on Skepticism.Otávio Bueno - 2009 - Metaphilosophy 40 (2):195-202.
    Abstract: Ernest Sosa has recently articulated an insightful response to skepticism and, in particular, to the dream argument. The response relies on two independent moves. First, Sosa offers the imagination model of dreaming according to which no assertions are ever made in dreams and no beliefs are involved there. As a result, it is possible to distinguish dreaming from being awake, and the dream argument is blocked. Second, Sosa develops a virtue epistemology according to which in appropriately normal conditions our (...)
  49. Relativism and Scepticism.Otávio Bueno - 2008 - International Journal of Philosophical Studies 16 (2):247-254.
  50. Truth and Proof.Otávio Bueno - 2008 - Manuscrito 31 (1):419-440.
    Current versions of nominalism in the philosophy of mathematics face a significant problem to understand mathematical knowledge. They are unable to characterize mathematical knowledge as knowledge of the objects mathematical theories are taken to be about. Oswaldo Chateaubriand’s insightful reformulation of Platonism (Chateaubriand 2005) avoids this problem by advancing a broader conception of knowledge as justified truth beyond a reasonable doubt, and by introducing a suitable characterization of logical form in which the relevant mathematical facts play an important role in (...)
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