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2009-05-01

Aristotle’s Logic at the University of Buffalo’s Department of Philosophy

Palabras clave:


underlying logic, many-sorted logic, range indicator, sortal variable, quantifier-noun-variable, Buffalo-Cambridge interpretation (es)

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Autores/as

  • John Corcoran
We begin with an introductory overview of contributions made by more than twenty scholars associated with the Philosophy Department at the University of Buffalo during the last half-century to our understanding and evaluation of Aristotle’s logic. More well-known developments are merely mentioned in order to make room to focus on issues at the center of attention from the beginning: existential import and, more generally, the analysis of categorical propositions. I include a list of the UB scholars, a list of collaborators and supporters from fellow institutions, a bibliography of relevant publications by UB scholars, and a bibliography of important related works.

Referencias

Part A: Selected Relevant Works by the Buffalo Syllogistic Group

Anton, J. (1996) "On Aristotle's Principle of Contradiction and its Platonic Antecedents", Philosophia 2 (1972): 266-80. Reprinted in Anton.

Anton, J. Categories and Experience. Oakvale/NewYork: Dowling College Press, 1996.

Anton, J. Aristotle's Theory of Contrariety. London: Routledge and Kegan Paul, 2000.

Boger, G. "The Logical Sense of paradoxon in Aristotle's Sophistical Refutations". Ancient Philosophy 13/1 (1993): 55-78.

Boger, G. "Completion, Reduction, and Analysis: Three Proof-theoretic Processes in Aristotle's Prior Analytics". History and Philosophy of Logic 19 (1998): 187-226.

Boger, G. "The Modernity of Aristotle's Logic". Aristotle and Contemporary Science, vol. 2, ed. Sfendoni-Mentzou, D. New York: Peter Lang Publishers, 2000. 97-112.

Boger, G. "Essay-Review of Aristote: Les Réfutations Sophistiques". Ancient Philosophy 22 (2002): 195-204.

Boger, G. "Aristotle's Underlying Logic". The Handbook of the History and Philosophy of Logic I. Gabby, D. & Woods, J. eds. Amsterdam, Netherlands: Elsevier, 2004: 101-246.

Boger, G., Corcoran, J., Rose, L. et. al. Memorial Service for William Tuthill Parry. University of Buffalo. Philosophy Department Archives, October 9, 1988.

Cohen, M. & Nagel, E. An Introduction to Logic, 2th edition. Introduction by Corcoran, J. Indianapolis: Hackett Publishing Company, 1993.

Corcoran, J. "Completeness of an Ancient Logic", Journal of Symbolic Logic 37 (1972): 696- 702. .

Corcoran, J. "A Mathematical Model of Aristotle's Syllogistic", Archiv für Geschichte der Philosophie 55 (1973): 191-219. .

Corcoran, J. "Ancient Logic and Its Modern Interpretations". Proceedings of the Buffalo Symposium on Modernist Interpretations of Ancient Logic. Dordrecht: Reidel (Kluwer), 1974a.

Corcoran, J. "Aristotelian Syllogisms: Valid Arguments or True Generalized Conditionals?", Mind 83 (1974b): 278-281. .

Corcoran, J. "Aristotle's Natural Deduction System". Ancient Logic and Its Modern Interpretation, ed. Corcoran, J. Dordrecht: Riedel, 1974c. 85-132. .

Corcoran, J. "Future Research on Ancient Theories of Communication and Reasoning". Ancient Logic and Its Modern Interpretations, ed. Corcoran, J. Dordrecht: Riedel, 1974d. 185-187. .

Corcoran, J. "Aristotle on the Underlying Logics of Sciences". Fifth International Congress of Logic, Methodology and Philosophy of Science XII, 1975. 11-12.

Corcoran, J. "Deduction and Reduction: two Proof-theoretic Processes in Prior Analytics I". Journal of Symbolic Logic 48 (1983): 906.

Corcoran, J. "El Nacimiento de la Logica" (The Birth of Logic). Agora 11/2 (1992): 67-78. Spanish translation by J.M. Sagüillo of expanded and revised version of an unpublished English paper distributed to members by the Society for Ancient Greek Philosophy in March 1992.

Corcoran, J. "The Founding of Logic", Ancient Philosophy 14 (1994): 9-24.

Corcoran, J. "The Logical Form of Quantifier Phrases: Quantifier-sortalvariable", Bulletin of Symbolic Logic 5 (1999): 418-419.

Corcoran, J. "Notes on the Founding of Logics and Metalogic: Aristotle, Boole, and Tarski". Current Issues in Logic / Temas Actuales de Lógica: Imprenta Universidad Santiago de Compostela, 2008: 271-272.

Corcoran, J. "Aristotle's Many-sorted Logic". Bulletin of Symbolic Logic 14 (2008): 155-156.

Corcoran, J. "Aristotle's Demonstrative Logic". History and Philosophy of Logic 30 (2009): 1-20.

Corcoran, J. & Mohler, L. "An Ancient Generic Theory". Fifth International Congress of Logic, Methodology, and Philosophy of Science XII, 1975: 37-38.

Corcoran, J. & Scanlan, M. "Critical Notice: Contemporary Relevance of Ancient Logical Theory". Philosophical Quarterly 32 (1982): 76-86.

Garver, N. "Notes for a Linguistic Reading of the Categories". Ancient Logic and Its Modern Interpretation, ed. Corcoran, J. Dordrecht: Riedel, 1974. 133-148.

Gasser, J. "Aristotle's Logic for the Modern Reader", History and Philosophy of Logic 12 (1991): 235-240.

Glanville, J. "Zabarella and Poinsot on the Object and Nature of Logic". Readings in Logic, ed. Houde, R. Dubuque: Brown, 1958. 204-226.

Iverson, S. Reduction of the Aristotelian Syllogism. MA Thesis in Philosophy, University of Buffalo, 1964.

Kearns, J. "Aristotelian Quantifiers". 5th International Congress of Logic, Methodology, and Philosophy of Science XII, 1975. 25-26.

Mulhern, J. "Modern Notations and Ancient Logic". Ancient Logic and Its Modern Interpretation, ed. Corcoran, J. Dordrecht: Riedel, 1974. 71-82.

Mulhern, M. "Corcoran on Aristotle's Logical Theory". Ancient Logic and Its Modern Interpretation, ed. Corcoran, J. Dordrecht: Riedel, 1974. 133-148.

Nambiar, S. "The Influence of Aristotelian Logic on Boole's Philosophy of Logic: the Reduction of Hypotheticals to Categoricals". A Boole Anthology, ed. Gasser, J. Dordrecht: Kluwer, 2000. 217-240.

Parry, W. "Quantification of the Predicate and Many-sorted Logic". Philosophy and Phenomenological Research 22 (1966): 342-360.

Parry, W. & Hacker, E. Aristotelian Logic. Albany: State University of New York Press. 1991.

Rose, L. "Aristotle's Syllogistic and the Fourth Figure", Mind 74 (1965): 382-389.

Rose, L. "Premise Order in Aristotle's Syllogistic", Phronesis 11 (1966): 154-158.

Rose, L. Aristotle's Syllogistic. Springfield IL: Thomas, 1968.

Scanlan, M. "On Finding Compactness in Aristotle", History and Philosophy of Logic 4 (1983): 1-8.

Scanlan, M. "Review of Gasser 1989", Journal of Symbolic Logic 56 (1991). 757-758.

Zirin, R. "Inarticulate Noises". Ancient Logic and Its Modern Interpretation, ed. Corcoran, J. Dordrecht: Riedel, 1974. 23-26.

Part B: Other Works Cited

Aristotle. Posterior Analytics, translated by Ross W. D. Oxford: Oxford UP, 1949.

Aristotle. Metaphysics, translated by Ross W. D. Oxford: Oxford UP, 1953.

Aristotle. Sophistical Refutations, translated by Forster, E. S. & Furley, D. J. Cambridge Mass: Harvard UP, 1955.

Aristotle. [APr.] Prior Analytics, translated by Smith, R. Indianapolis: Hackett, 1989.

Barnes, J. Truth, etc. Oxford: Oxford UP, 2007.

Boole, G. (1854). Laws of Thought. Introduction by Corcoran, J. Buffalo: Prometheus Books, 2003.

Church, A. Introduction to Mathematical Logic. Princeton: Princeton UP, 1956.

Corcoran, J. "Ockham's Syllogistic Semantics", Journal of Symbolic Logic 46 (1981): 197-198.

Corcoran, J. "Aristotle's Prior Analytics and Boole's Laws of Thought", History and Philosophy of Logic 24 (2003): 261-288.

Corcoran, J. "The Principle of Wholistic Reference", Manuscrito 27 (2004): 159-71.

Corcoran, J. "Counterexamples and Proexamples", Bulletin of Symbolic Logic 11 (2005a). 460.

Corcoran, J. "Wholistic Reference, Truth-Values, Universe of Discourse, and Formal Ontology. Réplica to Oswaldo Chateaubriand", Manuscrito 28 (2005b): 143-167.

Euclid. [c. 300 BCE]. Elements. 3 vols., trs. T. Heath. New York: Dover, 1908/1925.

Frege, G. (1879). "Begriffsschrift". Conceptual Notation and Related Articles, trs. and ed. Bynum, T. Oxford: Oxford UP, 1972.

Frege, G. Conceptual Notation and Related Articles, trans. & ed. Bynum, T. Oxford: Oxford UP, 1972.

Gupta, A. The Logic of Common Nouns. New Haven: Yale UP, 1980.

Hilbert, D. Foundations of Geometry. LaSalle, IL: Open Court. 1899/1971.

Hilbert, D. & Ackermann, W. Principles of Mathematical Logic, trans. Luce, R. Providence, RI: American Mathematical Society, 1928/1938/1950.

Jaskowski, S. "Rules of Suppositions in Formal Logic", Studia Logica 1 (1934): 5-32.

Kneale, W. & Kneale, M. Development of Logic. Oxford: Oxford UP, 1962.

Lear, J. Aristotle and Logical Theory. Cambridge: Cambridge UP, 1980.

Lukasiewicz, J. (1951). Aristotle's syllogistic. Oxford: Oxford University Press, 1957.

Lukasiewicz, J. Elements of Mathematical Logic, ed. Presburger, M. New York: The Macmillan Company, 1963.

Mignucci, M. "Aristotle on the Existential Import of Propositions", Phronesis 52 (2007):121-138.

Miller, J. The Structure of Aristotelian Logic. London: Kegan Paul, Trench, Trubner & Company, 1938.

Peano, G. (1889). "The Principles of Arithmetic Presented by a New Method". From Frege to Gödel, ed. van Heijenoort, J. Cambridge MA: Harvard UP, 1967.

Rosenbloom, P. Elements of Mathematical Logic. New York: Dover, 1950.

Ross, W. D. Aristotle's Prior and Posterior Analytics. Oxford: Oxford UP, 1949.

Russell, B. History of Western Philosophy. New York: Simon and Schuster, 1945.

Smiley, T. "Syllogism and Quantification", Journal of Symbolic Logic 27 (1962): 58-72.

Smiley, T. "What is a Syllogism?", Journal of Philosophical Logic 2 (1973): 136-154.

Smith, R., trs. Aristotle's Prior Analytics. Indianapolis: Hackett, 1989.

van Heijenoort, J. (ed). From Frege to Gödel. Cambridge MA: Harvard UP, 1967.

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“Aristotle’s Logic at the University of Buffalo’s Department of Philosophy”. Ideas Y Valores, vol. 58, no. 140, May 2009, pp. 99-117, https://revistas.unal.edu.co/index.php/idval/article/view/36478.

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