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  1. Do Logic and Religion Mix?James Collin - 2017 - In Duncan Pritchard & Mark Harris (eds.), Philosophy, Science and Religion for Everyone. London, UK:
    Logic is the study of the validity of arguments, which is to say the study of when a conclusion follows or does not follow from a set of premises. Logic is an ancient discipline pioneered by Aristotle and developed by some of the greatest thinkers in the Middle Ages. However, in the nineteenth century logic underwent a remarkable transformation into a precise branch of mathematics that changed the nature of logic, and the study of religion, forever. Both religious adherents and (...)
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  2. Hobson’s Conception of Definable Numbers.Zhao Fan - 2020 - History and Philosophy of Logic 41 (2):128-139.
    In this paper, I explore an intriguing view of definable numbers proposed by a Cambridge mathematician Ernest Hobson, and his solution to the paradoxes of definability. Reflecting on König’s paradox and Richard’s paradox, Hobson argues that an unacceptable consequence of the paradoxes of definability is that there are numbers that are inherently incapable of finite definition. Contrast to other interpreters, Hobson analyses the problem of the paradoxes of definability lies in a dichotomy between finitely definable numbers and not finitely definable (...)
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  3. On Russell's Logical Atomism.Landon D. C. Elkind - 2018 - In Landon D. C. Elkind & Gregory Landini (eds.), The Philosophy of Logical Atomism: A Centenary Reappraisal. Basingstoke, UK: pp. 3-37.
    I characterize and argue against the standard interpretation of logical atomism. The argument against this reading is historical: the standard interpretation of logical atomism (1) fails to explain how the view is inspired by nineteenth-century developments in mathematics, (2) fails to explain how logic is central to logical atomism, and (3) fails to explain how logical atomism is a revolutionary and new "scientific philosophy." In short, the standard interpretation is a bad history of logical atomism. A novel interpretation of the (...)
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  4. Logical Foundations and Kant's Principles of Formal Logic.Srećko Kovač - 2019 - History and Philosophy of Logic 41 (1):48-70.
    The abstract status of Kant's account of his ‘general logic’ is explained in comparison with Gödel's general definition of a formal logical system and reflections on ‘abstract’ concepts. Thereafter, an informal reconstruction of Kant's general logic is given from the aspect of the principles of contradiction, of sufficient reason, and of excluded middle. It is shown that Kant's composition of logic consists in a gradual strengthening of logical principles, starting from a weak principle of contradiction that tolerates a sort of (...)
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  5. The Truth of Future Contingents: An Analysis of Truth-Maker Indeterminacy.Tero Tulenheimo - 2020 - Filosofiska Notiser 7 (1):53-77.
    I argue that the semantics of sentences expressing future contingent propositions is best viewed as being based on a clear distinction between a time at which a proposition is true and a time at which a state of affairs that makes it true gets actualized. That a prediction is true here and now means that its truth-maker gets actualized later. This is not to say that if a contingent proposition p concerning the future is true at t, it acquires the (...)
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  6. Logikdiagramme und Logikmaschinen aus der Zittauer Schule um Christian Weise.Jens Lemanski - 2019 - Neues Lausitzische Magazin 141 (1):39-57.
    A particularly promising trail on the search for forgotten logic diagrams leads to Upper Lusatia in the 17th century, more precisely to Christian Weise and his students. Samuel Grosser, who later became rector in Görlitz, and Johann Christian Lange, who later became professor of logic at the University of Gießen, are the most prominent to have published remarkable logic diagrams. Even more remarkable, however, is the fact that Lange's interest in these diagrams ultimately gave rise to the idea of building (...)
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  7. Mereology with Super-Supplemention Axioms. A Reconstruction of the Unpublished Manuscript of Jan F. Drewnowski.Kordula Świętorzecka & Marcin Łyczak - forthcoming - Logic and Logical Philosophy:1.
    We present a study of unpublished fragments of Jan F. Drewnowski’s manuscript from the years 1922–1928, which contains his own axiomatics for mereology. The sources are transcribed and two versions of mereology are reconstructed from them. The first one is given by Drewnowski. The second comes from Leśniewski and was known to Drewnowski from Leśniewski’s lectures. Drewnowski’s version is expressed in the language of ontology enriched with the primitive concept of a (proper) part, and its key axiom expresses the so-called (...)
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  8. Per Se Modality and Natural Implication – an Account of Connexive Logic in Robert Kilwardby.Spencer Johnston - 2019 - Logic and Logical Philosophy 28 (3):449.
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  9. The Development of Gödel’s Ontological Proof.Annika Kanckos & Tim Lethen - forthcoming - Review of Symbolic Logic:1-19.
    Gödel’s ontological proof is by now well known based on the 1970 version, written in Gödel’s own hand, and Scott’s version of the proof. In this article new manuscript sources found in Gödel’s Nachlass are presented. Three versions of Gödel’s ontological proof have been transcribed, and completed from context as true to Gödel’s notes as possible. The discussion in this article is based on these new sources and reveals Gödel’s early intentions of a liberal comprehension principle for the higher order (...)
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  10. On the Czech Logic in the 20th Century.Jiri Raclavsky - 2012 - In Andrew Schumann (ed.), Logic in Central and Eastern Europe. Lanham, MD 20706, Spojené státy americké: Rowman & Littlefield. pp. 229-243.
    On the first part, a historical overview of the development of the Czech logic from 1900 until nowadays is sketched. In the second part, theyare listed Czech logicians, mentioning their key topics and books.
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  11. Intuitionist Reasoning in the Tri-Unitarian Theology of Nicholas of Cues (1401-1464).Antonino Drago - forthcoming - Journal of Applied Logic.
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  12. Perspectives on the Logical Study of Language.Jaakko Hintikka - 2019 - Logica Universalis 13 (2):151-163.
    Published originally as “Loogisen kielentutkimuksen näköaloja”, Ajatus 19,, pp. 81–96, the following piece by Jaakko Hintikka is the first essay he published in his mother tongue of Finnish. It is seen to provide both a state-of-the-art review of current topics emerging in the philosophy of language in the mid-1950, as well as outlines of Hintikka’s own evaluation of major theses of that era, in particular those of Quine’s and Wittgenstein’s concerning language use. Hintikka evaluates contributions that the logical study of (...)
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  13. Sylvan's Jungle Volume 1: Exploring Meinong's Jungle and Beyond.Maureen Eckert - 2018 - International: Synthese Library.
    In this first volume of The Sylvan Jungle, the editors present a scholarly edition of the first chapter, "Exploring Meinong's Jungle," of Richard Routley's 1000-plus page book, Exploring Meinong's Jungle and Beyond. Going against the Quinean orthodoxy, Routley’s aim was to support Meinong’s idea that we can truthfully refer to non-existent and even impossible objects, like Superman, unicorns and the (infamous) round-square cupola on Berkeley College. The tools of non-classical logic at Routley’s disposal enabled him to update Meinong’s project for (...)
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  14. Formalizing Kant’s Rules.Richard Evans, Andrew Stephenson & Marek Sergot - 2019 - Journal of Philosophical Logic 48:1-68.
    This paper formalizes part of the cognitive architecture that Kant develops in the Critique of Pure Reason. The central Kantian notion that we formalize is the rule. As we interpret Kant, a rule is not a declarative conditional stating what would be true if such and such conditions hold. Rather, a Kantian rule is a general procedure, represented by a conditional imperative or permissive, indicating which acts must or may be performed, given certain acts that are already being performed. These (...)
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  15. Duty and Sacrifice: A Logical Analysis of the Mīmāṃsā Theory of Vedic Injunctions.Elisa Freschi, Andrew Ollett & Matteo Pascucci - 2019 - History and Philosophy of Logic 40 (4):323-354.
    The Mīmāṃsā school of Indian philosophy has for its main purpose the interpretation of injunctions that are found in a set of sacred texts, the Vedas. In their works, Mīmāṃsā authors provide some of the most detailed and systematic examinations available anywhere of statements with a deontic force; however, their considerations have generally not been registered outside of Indological scholarship. In the present article we analyze the Mīmāṃsā theory of Vedic injunctions from a logical and philosophical point of view. The (...)
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  16. The Later Wittgenstein’s Guide to Contradictions.Alessio Persichetti - forthcoming - Synthese:1-17.
    This paper portrays the later Wittgenstein’s conception of contradictions and his therapeutic approach to them. I will focus on and give relevance to the Lectures on the Foundations of Mathematics, plus the Remarks on the Foundations of Mathematics. First, I will explain why Wittgenstein’s attitude towards contradictions is rooted in: a rejection of the debate about realism and anti-realism in mathematics; and Wittgenstein’s endorsement of logical pluralism. Then, I will explain Wittgenstein’s therapeutic approach towards contradictions, and why it means that (...)
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  17. Karel Lambert. Existential Import Revisited. Notre Dame Journal of Formal Logic, Vol. 4 No. 4 , Pp. 288–292.Alonzo Church - 1965 - Journal of Symbolic Logic 30 (1):103-104.
  18. Karel Lambert. Existential Import Revisited. Notre Dame Journal of Formal Logic, Vol. 4 No. 4 , Pp. 288–292.Alonzo Church - 1965 - Journal of Symbolic Logic 30 (1):103-104.
  19. T. Gierymski and M. P. Slattery. Existential Import and “Latin Averroism.”Franciscan Studies, Vol. 18 , Pp. 127–132.Charles A. Baylis - 1964 - Journal of Symbolic Logic 29 (2):112.
  20. T. Gierymski and M. P. Slattery. Existential Import and “Latin Averroism.”Franciscan Studies, Vol. 18 , Pp. 127–132.Charles A. Baylis - 1964 - Journal of Symbolic Logic 29 (2):112.
  21. Joan B. Ogden and Henry B. Veatch. Putting the Square Back Into Opposition. The New Scholasticism, Vol. 30 , Pp. 409–440. [REVIEW]Charles A. Baylis - 1964 - Journal of Symbolic Logic 29 (2):111.
  22. Joan B. Ogden and Henry B. Veatch. Putting the Square Back Into Opposition. The New Scholasticism, Vol. 30 , Pp. 409–440. [REVIEW]Charles A. Baylis - 1964 - Journal of Symbolic Logic 29 (2):111.
  23. Tadeusz Gierymski and Michael P. Slattery. Is the Square Back in Opposition?Philosophical Studies , Vol. 7 , Pp. 123–130. [REVIEW]Charles A. Baylis - 1964 - Journal of Symbolic Logic 29 (2):111-112.
  24. Tadeusz Gierymski and Michael P. Slattery. Is the Square Back in Opposition?Philosophical Studies , Vol. 7 , Pp. 123–130. [REVIEW]Charles A. Baylis - 1964 - Journal of Symbolic Logic 29 (2):111-112.
  25. Aristotle's syllogistics: Marko Malink: Aristotle’s modal syllogistics Boston: Harvard University Press, 2013, 384pp, $49.95 HB.Sara L. Uckelman - 2014 - Metascience 23 (3):573-579.
    In this masterful book, Marko Malink sets out to do what no one has succeeded in doing before: To provide a consistent and coherent model adequate for the entirety of Aristotle’s claims about valid and invalid syllogisms, both apodeictic and modal (p. 2). The fact that Malink attains his goal is impressive enough to almost—but not quite—overshadow the drawbacks of the model (which, to be fair, he points out himself in various places).After an introduction, where notation for categorical claims is (...)
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  26. Lynn E. Rose. Aristotle's Syllogistic. Charles C. Thomas, Publisher, Springfield, Illinois, 1968, Vii + 149 Pp. [REVIEW]Ivan Boh - 1971 - Journal of Symbolic Logic 36 (4):670-671.
  27. Lynn E. Rose. Aristotle's Syllogistic. Charles C. Thomas, Publisher, Springfield, Illinois, 1968, Vii + 149 Pp. [REVIEW]Ivan Boh - 1971 - Journal of Symbolic Logic 36 (4):670-671.
  28. Eugen Mihăilescu. Sur Quelques Théorèmes de la Logique Classique. Revue de Mathématiques Pures Et Appliquées, Vol. 4 No. 2 , Pp. 233–248. [REVIEW]K. Iséki - 1971 - Journal of Symbolic Logic 36 (1):173.
  29. Eugen Mihăilescu. Sur Quelques Théorèmes de la Logique Classique. Revue de Mathématiques Pures Et Appliquées, Vol. 4 No. 2 , Pp. 233–248. [REVIEW]K. Iséki - 1971 - Journal of Symbolic Logic 36 (1):173.
  30. R. Zane Parks. On Formalizing Aristotle's Theory of Modal Syllogisms. Notre Dame Journal of Formal Logic, Vol. 13 , Pp. 385–386. [REVIEW]Ivo Thomas - 1973 - Journal of Symbolic Logic 38 (3):519-520.
  31. R. Zane Parks. On Formalizing Aristotle's Theory of Modal Syllogisms. Notre Dame Journal of Formal Logic, Vol. 13 , Pp. 385–386. [REVIEW]Ivo Thomas - 1973 - Journal of Symbolic Logic 38 (3):519-520.
  32. Jaakko Hintikka. An Aristotelian Dilemma. Ajatus, Vol. 22 , Pp. 87–92. - Nicholas Rescher. Aristotle's Theory of Modal Syllogisms and its Interpretation. The Critical Approach to Science and Philosophy, Edited by Mario Bunge, The Free Press of Glencoe, Collier-Macmillan Limited, London1964, Pp. 152–177. Reprinted in Essays in Philosophical Analysis, by Nicholas Rescher, University of Pittsburgh Press, Pittsburgh 1969, Pp. 33–60. - Storrs McCall. Aristotle's Modal Syllogisms. Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam1963, VIII + 100 Pp. [REVIEW]Ivo Thomas - 1972 - Journal of Symbolic Logic 37 (2):418-419.
  33. Jaakko Hintikka. An Aristotelian Dilemma. Ajatus, Vol. 22 , Pp. 87–92. - Nicholas Rescher. Aristotle's Theory of Modal Syllogisms and its Interpretation. The Critical Approach to Science and Philosophy, Edited by Mario Bunge, The Free Press of Glencoe, Collier-Macmillan Limited, London1964, Pp. 152–177. Reprinted in Essays in Philosophical Analysis, by Nicholas Rescher, University of Pittsburgh Press, Pittsburgh 1969, Pp. 33–60. - Storrs McCall. Aristotle's Modal Syllogisms. Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam1963, VIII + 100 Pp. [REVIEW]Ivo Thomas - 1972 - Journal of Symbolic Logic 37 (2):418-419.
  34. Alexander Prestel. Einführung in die mathematische Logik und Modelltheorie. Vieweg studium, no. 60. Friedr. Vieweg & Sohn, Brunswick et Wiesbaden 1986, xiv + 286 pp. [REVIEW]Francoise Delon - 1991 - Journal of Symbolic Logic 56 (1):341-343.
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  35. Ulrich Blau. Die Logik der Unbestimmtheiten und Paradoxien. Philosophische Impulse, vol. 8. Synchron Wissenschaftsverlag der Autoren, Heidelberg, 2008, 960 pp. [REVIEW]Ralf Schindler - 2009 - Bulletin of Symbolic Logic 15 (4):436-438.
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  36. Lothar Kreiser. Logik und Logiker in der DDR. Eine Wissenschaft im Aufbruch. Leipziger Universitaetsverlag, Leipzig, 2009, 479 pp. [REVIEW]Matthias Wille - 2010 - Bulletin of Symbolic Logic 16 (1):87-89.
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  37. Bobenrieth M. Andrés. The Origins of the Use of the Argument of Trivialization in the Twentieth Century. History and Philosophy of Logic, Vol. 31 , No. 2, Pp. 111–121. [REVIEW]Matthias Wille - 2010 - Bulletin of Symbolic Logic 16 (4):537-538.
  38. Les attitudes russelliennes.Fabien Schang - 2017 - Cahiers de Philosophie de L’Université de Caen 54:149-168.
    Russell prétend qu’un examen des croyances est indispensable pour définir nos raisonnements quotidiens et comprendre ce que les philosophes entendent par la notion de vérité. Cela étant, l’auteur considère qu’une étude de ces croyances n’a aucun rapport avec la logique, laquelle concerne uniquement le vrai et le faux. En d’autres termes, Russell associe croyance et psychologie tout en réservant le domaine de la logique au thème de la proposition, vraie ou fausse par définition. Une certaine théorie de la vérité sous-tend (...)
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  39. The Prior-von Wright Debate on Anselm's Argument for the Existence of God.David Jakobsen & Peter Øhrstrøm - 2017 - In Ilkka Niiniluoto & Thomas Wallgren (eds.), On the Human Condition : Philosophical Essays in Honour of the Centennial Anniversary of Georg Henrik von Wright. Helsingfors, Finland: pp. 255-267.
    Arthur Norman Prior (1914 – 1969) and Georg Henrik von Wright (1916 – 2003) both attended a conference in England sometime in the spring of 1956, after which they corresponded on Anselm’s ontological argument. Prior had at the conference presented a formal treatment of the ontological argument. Based upon notes from the Prior archive at the Bodleian Library, and correspondence with von Wright, we here presents Prior’s and von Wrights’ discussion of Anselm’s argument in light of Prior’s published, as well (...)
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  40. Track-Down Operations on Bilattices.Damian Szmuc - 2018 - In Robert Wille & Martin Lukac (eds.), Proceedings of the 48th IEEE International Symposium on Multiple-Valued Logic. Los Alamitos, California, EE. UU.: pp. 74-79.
    This paper discusses a dualization of Fitting's notion of a "cut-down" operation on a bilattice, rendering a "track-down" operation, later used to represent the idea that a consistent opinion cannot arise from a set including an inconsistent opinion. The logic of track-down operations on bilattices is proved equivalent to the logic d_Sfde, dual to Deutsch's system S_fde. Furthermore, track-down operations are employed to provide an epistemic interpretation for paraconsistent weak Kleene logic. Finally, two logics of sequential combinations of cut-and track-down (...)
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  41. Medieval Vs Contemporary Metaphysics and Logic of Intentionality.Andrzej Bułeczka - 2017 - Dissertation,
    This thesis addresses three challenges posed by intentionality - the ability of our mental states and language to be about something - to a logician: an apparent reference to non-existent objects, intentional indeterminacy and the failure of substitutivity of coextensive terms in an intentional context. Since intentionality plays an important role in our everyday reasoning, a proper formal account of it is highly desirable, yet it requires a departure from classical logic. One can modify classical logic and adapt the formal (...)
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  42. A Darkly Bright Republic: Milton's Poetic Logic.Joshua M. Hall - 2018 - South African Journal of Philosophy 37 (2):158-170.
    My first section considers Walter J. Ong’s influential analyses of the logical method of Peter Ramus, on whose system Milton based his Art of Logic. The upshot of Ong’s work is that philosophical logic has become a kind monarch over all other discourses, the allegedly timeless and universal method of mapping and diagramming all concepts. To show how Milton nevertheless resists this tyrannical result in his non-Logic writings, my second section offers new readings of Milton’s poems Il Penseroso and Sonnet (...)
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  43. Note on the Significance of the New Logic.Frederique Janssen-Lauret - 2018 - The Reasoner 6 (12):47-48.
    Brief note explaining the content, importance, and historical context of my joint translation of Quine's The Significance of the New Logic with my single-authored historical-philosophical essay 'Willard Van Orman Quine's Philosophical Development in the 1930s and 1940s'.
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  44. The Place of Logic in Kant's Philosophy.Clinton Tolley - 2017 - In Matthew C. Altman (ed.), The Palgrave Kant Handbook. London: Palgrave. pp. 165-87.
    This chapter spells out in detail how Kant’s thinking about logic during the critical period shapes the account of philosophy that he gives in the Critiques. Tolley explores Kant’s motivations behind his formation of the idea of a new “transcendental” logic, drawing out in particular how he means to differentiate it from the traditional “merely formal” approaches to logic, insofar as transcendental logic investigates not just the basic forms of the activity of thinking but also its basic contents. Kant’s understanding (...)
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  45. Prescission.Gabriele Gava - 2016 - The Commens Encyclopedia: The Digital Encyclopedia of Peirce Studies.
    Prescission is a method used by Peirce to separate concepts and ideas from one another and to find hierarchical relationship of dependence among them. In particular, prescission is applied in those cases in which two objects cannot be imagined separately, but we can nonetheless suppose one without the other. Prescission is of fundamental importance within Peirce’s system because it is used to identify relationships among the three fundamental categories.
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  46. Periods in the Use of Euler-Type Diagrams.Jens Lemanski - 2017 - Acta Baltica Historiae Et Philosophiae Scientiarum 5 (1):50-69.
    Logicians commonly speak in a relatively undifferentiated way about pre-euler diagrams. The thesis of this paper, however, is that there were three periods in the early modern era in which euler-type diagrams (line diagrams as well as circle diagrams) were expansively used. Expansive periods are characterized by continuity, and regressive periods by discontinuity: While on the one hand an ongoing awareness of the use of euler-type diagrams occurred within an expansive period, after a subsequent phase of regression the entire knowledge (...)
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  47. Die Neuaristotelischen Ursprünge des Kontextprinzips Und Die Fortführung in der Fregeschen Begriffsschrift.Jens Lemanski - 2013 - Zeitschrift für Philosophische Forschung 67 (4):566-586.
    Beginning with a research review, the present paper shows that Hans Slugaʼs and esp. Robert Brandomʼs thesis, according to which Frege has adopted the context-principle and the priority of propositional from Kant, can solve problems in current Frege scholarship, on the one hand, but is itself fraught with further problems, on the other hand. In contrast, this paper maintains that the context-principle and the priority of the propositional are implicitly present in Fregeʼs Begriffsschrift since both have not been taken over (...)
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  48. Aristotle’s Theory of Deduction and Paraconsistency.Evandro Luís Gomes & Itala M. Loffredo D'Ottaviano - 2010 - Principia: An International Journal of Epistemology 14 (1):71-97.
    In the Organon Aristotle describes some deductive schemata in which inconsistencies do not entail the trivialization of the logical theory involved. This thesis is corroborated by three different theoretical topics by him discussed, which are presented in this paper. We analyse inference schema used by Aristotle in the Protrepticus and the method of indirect demonstration for categorical syllogisms. Both methods exemplify as Aristotle employs classical reductio ad absurdum strategies. Following, we discuss valid syllogisms from opposite premises studied by the Stagerian (...)
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  49. Massimo Mugnai. Logic and Mathematics in the Seventeenth Century. History and Philosophy of Logic, Vol. 31 , Pp. 297–314. [REVIEW]Matthias Wille - 2011 - Bulletin of Symbolic Logic 17 (2):270-271.
  50. Alfredo Deaño and the Non-Accidental Transition of Thought.Maria G. Navarro - 2016 - Archives for the Philosohy and History of Soft Computing (1):1-13.
    If the cultural variations concerning knowledge and research on ordinary reasoning are part of cultural history, what kind of historiographical method is needed in order to present the history of its evolution? This paper proposes to introduce the study of theories of reasoning into a historiographic perspective because we assume that the answer to the previous question does not only depend of internal controversies about how reasoning performance is explained by current theories of reasoning. [...].
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