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57Murray Murphey's Work and C. I. Lewis's Epistemology: Problems with Realism and the Context of Logical PositivismTransactions of the Charles S. Peirce Society 42 (1): 32-44. 2006.
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5The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition PaperIn Urszula Wybraniec-Skardowska & Ángel Garrido (eds.), The Lvov-Warsaw School. Past and Present, Springer- Birkhauser,. pp. 405-424. 2018.This paper discusses the history of the confusion and controversies over whether the definition of consequence presented in the 11-page Tarski consequence-definition paper is based on a monistic fixed-universe framework—like Begriffsschrift and Principia Mathematica. Monistic fixed-universe frameworks, common in pre-WWII logic, keep the range of the individual variables fixed as ‘the class of all individuals’. The contrary alternative is that the definition is predicated on a pluralistic multipl…Read more
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14Logic in The 21st Century: Advice For Young LogiciansFelsefe Arkivi 51 309-319. 2019.By logic I mean the subject Aristotle started in Prior Analytics. Logic studies demonstration and everything necessary for demonstration, and also many things that come to mind in the course of such studies—including axiomatic method as described in my short “Axiomatic method”. By young I mean less than about 40 years old. By logicians I mean people who have dedicated their lives to advancing and criticizing logic: to discovering and establishing new additions and also to clarifying and correcti…Read more
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16Aritmética Semántica: un prefacioAgora 39 (1). 2020.La teoría de números, o la aritmética pura, concierne a los números naturales mismos, no a la notación usada, y en particular no a los numerales. La teoría de ristras, o la sintaxis pura, concierne a los numerales como ristras de caracteres «no-interpretados», al margen de los números que puedan denotar cuando son usados. La teoría de los números es puramente aritmética, la teoría de ristras es puramente sintáctica… en tanto se considere el universo del discurso solo. La aritmética semántica es …Read more
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57Logical Investigations of Predication Theory and the Problem of UniversalsNoûs 25 (2): 221-230. 1991.
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23From Peirce to Skolem. A Neglected Chapter in the History of LogicBulletin of Symbolic Logic 14 (4): 541-544. 2008.
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5Silogismos aristotélicos: argumentos válidos ou condicionais universalizados verdadeiros?Analytica. Revista de Filosofia 23 (2): 117-123. 2021.Publicado originalmente em 1974, este breve artigo de John Corcoran analisa algumas passagens da obra de Jan Lukasiewicz dedicada à silogística de Aristóteles, refutando a tese do lógico polonês de que os silogismos aristotélicos seriam condicionais universalizados.
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36Deductions and Reductions Decoding Syllogistic MnemonicsEntelekya Logico-Metaphysical Review 2 (1): 5-39. 2018.The syllogistic mnemonic known by its first two words Barbara Celarent introduced a constellation of terminology still used today. This concatenation of nineteen words in four lines of verse made its stunning and almost unprecedented appearance around the beginning of the thirteenth century, before or during the lifetimes of the logicians William of Sherwood and Peter of Spain, both of whom owe it their lasting places of honor in the history of syllogistic. The mnemonic, including the theory or …Read more
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29Logical Investigations of Predication Theory and the Problem of UniversalsJournal of Symbolic Logic 53 (3): 991-993. 1988.
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31On the Foundations of Geometry and Formal Theories of ArithmeticPhilosophy and Phenomenological Research 34 (2): 283-286. 1973.
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54Heinz-Dieter Ebbinghaus. Über eine Prädikatenlogik mit partiell definierten Prädikaten und Funktionen. Archie für mathematische Logik und Grundlagenforschung, vol. 12 , pp. 39–53 (review)Journal of Symbolic Logic 37 (3): 617-618. 1972.
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28Michael J. Loux. The ontology of William of Ockham. Ockham's theory of terms, Part I of the Summa logicae, translated and introduced by Michael J. Loux, University of Notre Dame Press, Notre Dame and London1974, pp. 1–21. - Michael J. Loux. Ockham on generality. Ockham's theory of terms, Part I of the Summa logicae, translated and introduced by Michael J. Loux, University of Notre Dame Press, Notre Dame and London1974, pp. 23–46 (review)Journal of Symbolic Logic 46 (3): 667-668. 1981.
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29Nino B. Cocchiarella. Logical investigations of predication theory and the problem of universals. Indices, no. 2. Bibliopolis, Naples1986, also distributed by Humanities Press, Atlantic Highlands, N.J., 265 pp (review)Journal of Symbolic Logic 53 (3): 991-993. 1988.
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38Aristotle’s Prototype Rule-Based Underlying LogicLogica Universalis 12 (1-2): 9-35. 2018.This expository paper on Aristotle’s prototype underlying logic is intended for a broad audience that includes non-specialists. It requires as background a discussion of Aristotle’s demonstrative logic. Demonstrative logic or apodictics is the study of demonstration as opposed to persuasion. It is the subject of Aristotle’s two-volume Analytics, as its first sentence says. Many of Aristotle’s examples are geometrical. A typical geometrical demonstration requires a theorem that is to be demonstra…Read more
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711Philosophy of Logic. Hilary Putnam (review)Philosophy of Science 40 (1): 131-133. 1973.Putnam, Hilary FPhilosophy of logic. Harper Essays in Philosophy. Harper Torchbooks, No. TB 1544. Harper & Row, Publishers, New York-London, 1971. v+76 pp. The author of this book has made highly regarded contributions to mathematics, to philosophy of logic and to philosophy of science, and in this book he brings his ideas in these three areas to bear on the traditional philosophic problem of materialism versus (objective) idealism. The book assumes that contemporary science (mathematical and ph…Read more
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1171Philosophy of Logic. Willard Van Orman Quine (review)Philosophy of Science 39 (1): 97-99. 1972.
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5An Introduction to Logic (edited book)Hackett Publishing Company. 1993.Written for independent study and suitable for an introductory course in logic, this classic text combines a sound presentation of logic with effective pedagogy and illustrates the role of logic in many areas of humanistic and scientific thought. Cohen and Nagel's elegant integration of the history of philosophy, natural science, and mathematics helps earn this work its distinguished reputation.
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14Logic, Semantics, Metamathematics: Papers from 1923 to 1938Journal of Symbolic Logic 54 (1): 281-282. 1956.
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Epistemology |
Logic and Philosophy of Logic |