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  1. A BIBLIOGRAPHY: JOHN CORCORAN's PUBLICATIONS ON ARISTOTLE 1972–2015.John Corcoran - manuscript
    This presentation includes a complete bibliography of John Corcoran’s publications devoted at least in part to Aristotle’s logic. Sections I–IV list 20 articles, 43 abstracts, 3 books, and 10 reviews. It starts with two watershed articles published in 1972: the Philosophy & Phenomenological Research article that antedates Corcoran’s Aristotle’s studies and the Journal of Symbolic Logic article first reporting his original results; it ends with works published in 2015. A few of the items are annotated with endnotes connecting them with (...)
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  2. O Silogismo Científico em Aristóteles.Raquel Mieko Nakaza - manuscript
  3. Aristotle's Syllogism as Simple as ABC by New Transformed Raval's Notations.Ravinder Kumar Singh - manuscript
    Transformed RAVAL NOTATION solves Syllogism problems very quickly and accurately. This method solves any categorical syllogism problem with same ease and is as simple as ABC… In Transformed RAVAL NOTATION, each premise and conclusion is written in abbreviated form, and then conclusion is reached simply by connecting abbreviated premises.NOTATION: Statements (both premises and conclusions) are represented as follows: Statement Notation a) All S are P, SS-P b) Some S are P, S-P c) Some S are not P, S / PP (...)
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  4. Division, Syllogistic, and Science in Prior Analytics I.31.Justin Vlasits - forthcoming - Ergo: An Open Access Journal of Philosophy.
    In the first book of the Prior Analytics, Aristotle sets out, for the first time in Greek philosophy, a logical system. It consists of a deductive system (I.4-22), meta-logical results (I.23-26), and a method for finding and giving deductions (I.27-29) that can apply in “any art or science whatsoever” (I.30). After this, Aristotle compares this method with Plato’s method of division, a procedure designed to find essences of natural kinds through systematic classification. This critical comparison in APr I.31 raises an (...)
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  5. A Teoria da Demonstração Científica de Aristóteles em Segundos Analíticos 1.2-9 e 1.13.Davi Bastos - 2020 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 30:e03021.
    I defend an interpretation of Aristotle’s Posterior Analytics Book I which distinguishes between two projects in different passages of that work: (i) to explain what a given science is and (ii) to explain what properly scientific knowledge is. I present Aristotle’s theory in answer to ii, with special attention to his definition of scientific knowledge in 71b9-12 and showing how this is developed on chapters I.2-9 and I.13 into a solid Theory of Scientific Demonstration. The main point of this theory (...)
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  6. Teoria Aristotélica do Silogismo: a perfeição do silogismo nos Primeiros Analíticos.Eduardo Rafael Kobs - 2020 - Dissertation, UFPR, Brazil
  7. Os métodos de prova nos Primeiros Analíticos de Aristóteles e sua natureza normativa.Ralph Leal Heck - 2020 - Veritas – Revista de Filosofia da Pucrs 65 (3):1-13.
  8. Transzendentalität als Verhältnis aller Verhältnisse und Konkretisierung alles Konkreten. Zur Problementfaltung von Zeidlers Schlusslogischer Letztbegründung im Ausgang von Peirce, Hegel und Schelling.Lois Marie Rendl - 2020 - In Lois Marie Rendl & Robert König (eds.), Schlusslogische Letztbegründung. Festschrift für Kurt Walter Zeidler zum 65. Geburtstag. Berlin, Deutschland: pp. 33-112.
    This article reconstructs the development of Kurt Walter Zeidler's argument for a reformulation of Kant's transcendental dialectic as a theory of the foundation of transcendental logic. It therefore examines his doctoral dissertation "Logik des Erkenntnisprozesses. Dedukton - Induktion - Abduktion" (1979), where he discusses Norwood Russell Hansons 'logic of discovery' and finds an analogy between Charls S. Peirce's definiton of 'abduction' and Hegel's defintion of 'analogy', as well as his early papers, collected in "Grundlegungen. Zur Theorie der Vernunft und Letztbegründung" (...)
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  9. A Class-Room Introduction to Logic.Desh Raj Sirswal - 2020 - Pehowa(Kurukshetra): CPPIS.
    This book is an outcome of my wordpress page “A Class-Room Introduction to Logic” This was prepared for the students of the paper entitled “Principles of Logic” in the Diploma-in-Reasoning Course of Department of Philosophy, Kurukshetra University, Kurukshetra, where I taught in the Diploma about four years and presently have an experience of teaching logic about 15 years. This book is beneficial for graduate students who have elementary logic course in their syllabus as well as for the general reader of (...)
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  10. La teoría del silogismo simpliciter en las Refutaciones Sofísticas de Aristóteles.Gonzalo Llach Villalobos - 2020 - Dissertation, Pontifical Catholic University of Chile
  11. Material Cause and Syllogistic Necessity in Posterior Analytics II 11.Paolo Fait - 2019 - Manuscrito 42 (4):282-322.
    The paper examines Posterior Analytics II 11, 94a20-36 and makes three points. (1) The confusing formula ‘given what things, is it necessary for this to be’ [τίνων ὄντων ἀνάγκη τοῦτ᾿ εἶναι] at a21-22 introduces material cause, not syllogistic necessity. (2) When biological material necessitation is the only causal factor, Aristotle is reluctant to formalize it in syllogistic terms, and this helps to explain why, in II 11, he turns to geometry in order to illustrate a kind of material cause that (...)
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  12. Mereology in Aristotle's Assertoric Syllogistic.Justin Vlasits - 2019 - History and Philosophy of Logic 40 (1):1-11.
    How does Aristotle think about sentences like ‘Every x is y’ in the Prior Analytics? A recently popular answer conceives of these sentences as expressing a mereological relationship between x and y: the sentence is true just in case x is, in some sense, a part of y. I argue that the motivations for this interpretation have so far not been compelling. I provide a new justification for the mereological interpretation. First, I prove a very general algebraic soundness and completeness (...)
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  13. Aristotle’s Modal Syllogistic. [REVIEW]Lucas Angioni - 2018 - Ancient Philosophy 38 (1):211-216.
  14. Angioni, L. (2014) (ed.). Lógica e Ciência em Aristóteles. Campinas, Ed. Phi. [REVIEW]Manuel Berrón - 2017 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 20:335-342.
  15. Platonic Division and the Origins of Aristotelian Logic.Justin Vlasits - 2017 - Dissertation, University of California, Berkeley
    Aristotle's syllogistic theory, as developed in his Prior Analytics, is often regarded as the birth of logic in Western philosophy. Over the past century, scholars have tried to identify important precursors to this theory. I argue that Platonic division, a method which aims to give accounts of essences of natural kinds by progressively narrowing down from a genus, influenced Aristotle's logical theory in a number of crucial respects. To see exactly how, I analyze the method of division as it was (...)
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  16. Transitivity in Coherence-Based Probability Logic.Angelo Gilio, Niki Pfeifer & Giuseppe Sanfilippo - 2016 - Journal of Applied Logic 14:46-64.
    We study probabilistically informative (weak) versions of transitivity by using suitable definitions of defaults and negated defaults in the setting of coherence and imprecise probabilities. We represent p-consistent sequences of defaults and/or negated defaults by g-coherent imprecise probability assessments on the respective sequences of conditional events. Moreover, we prove the coherent probability propagation rules for Weak Transitivity and the validity of selected inference patterns by proving p-entailment of the associated knowledge bases. Finally, we apply our results to study selected probabilistic (...)
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  17. What Is a Perfect Syllogism in Aristotelian Syllogistic?Theodor Ebert - 2015 - Ancient Philosophy 35 (2):351-374.
    The question as to what makes a perfect Aristotelian syllogism a perfect one has long been discussed by Aristotelian scholars. G. Patzig was the first to point the way to a correct answer: it is the evidence of the logical necessity that is the special feature of perfect syllogisms. Patzig moreover claimed that the evidence of a perfect syllogism can be seen for Barbara in the transitivity of the a-relation. However, this explanation would give Barbara a different status over the (...)
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  18. What is a Perfect Syllogism.Benjamin Morison - 2015 - Oxford Studies in Ancient Philosophy 48:107-166.
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  19. Aristotle’s Assertoric Syllogistic and Modern Relevance Logic.Philipp Julius6 Steinkrüger - 2015 - Synthese 192 (5):1413-1444.
    This paper sets out to evaluate the claim that Aristotle’s Assertoric Syllogistic is a relevance logic or shows significant similarities with it. I prepare the grounds for a meaningful comparison by extracting the notion of relevance employed in the most influential work on modern relevance logic, Anderson and Belnap’s Entailment. This notion is characterized by two conditions imposed on the concept of validity: first, that some meaning content is shared between the premises and the conclusion, and second, that the premises (...)
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  20. Sistemas semânticos e o problema de adequação para uma interpretação na silogística de Aristóteles.Felipe Weinmann - 2015 - Filosofia Grega E Helenística (Coleção XVI Encontro Anpof).
  21. As proposições categóricas na lógica de Aristóteles.Mateus R. F. Ferreira - 2014 - In Lucas Angioni (ed.), Lógica e Ciência em Aristóteles. pp. 203-246.
    Discuto a semântica das formas categóricas em Aristóteles.
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  22. Aristoteles’ in izahat Yöntemi Hakkindaki Yorumlar.Murat Kelikli - 2014 - Kutadgubilig Felsefe-Bilim Araştırmaları Dergisi 25:115-127.
    There is very little information about the proving by Aristotle’s ecthesis method both in Aristotle’s and his commentators’ articles. Researches on ecthesis which were made by recent commentators are only on expository term. In our study, comments have been evaluated, points that are subject to contradiction have been determined, and opinions about ecthesis have been cited by giving proofs obtained by the ecthesis method.
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  23. Review of Marko Malink, Aristotle's Modal Syllogistic[REVIEW]Jacob Rosen - 2014 - Notre Dame Philosophical Reviews.
    Malink’s interpretation is designed to validate Aristotle’s claims of validity and invalidity of syllogistic-style arguments, as well as his conversion claims. The remaining sorts of claims in Aristotle's text are allowed to fall out as they may. Thus, not all of Aristotle’s examples turn out correct: on some occasions, Aristotle claims that a given pair of terms yields a true (false) sentence of a given type although, under Malink’s interpretation, the sentence in question is false (true). Similarly, some of Aristotle’s (...)
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  24. Silogismos e ordenação de termos nos Primeiros analíticos I.4 e I.7 de Aristóteles.Felipe Weinmann - 2014 - In Lucas Angioni (ed.), Lógica e Ciência em Aristóteles. pp. 247-286.
  25. A Cláusula Final da Definição Geral do Silogismo e suas funções na silogística e nos Primeiros Analíticos I de Aristóteles.Felipe Weinmann - 2014 - Dissertation, University of Campinas
    Aristotle's General Definition of the Syllogism may be taken as consisting of two parts: the Inferential Conditions and the Final Clause. Although this distinction is well known, traditional interpretations neglect the Final Clause and its influence on syllogistic. Instead, the aforementioned tradition focuses on the Inferential Conditions only. We intend to show that this neglect has severe consequences not just on syllogistic but on the whole exegesis of Aristotle's Prior Analytics I. Due to these consequences, our objective is to analyse (...)
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  26. O Escopo Do 'Toi Tauta Einai' Na Silogística Aristotélica.Felipe Weinmann - 2014 - Intuitio 7 (1):43-66.
  27. Aristotle's Earlier Logic (2nd Edition).John Woods - 2014 - College Publications.
  28. Fundacionalismo e silogística.Breno A. Zuppolini - 2014 - In Lucas Angioni (ed.), Lógica e Ciência em Aristóteles. Phi. pp. 161-202.
  29. Die merk-würdigen Modi Baroco und Bocardo: Zur Axiomatik der Syllogismen bei Aristoteles, Boethius und den moderni.Reinhold F. Glei - 2013 - Bochumer Philosophisches Jahrbuch Fur Antike Und Mittelalter 16 (1):163-184.
  30. Aristotle on Deduction and Inferential Necessity.Jean-Louis Hudry - 2013 - Review of Metaphysics 67 (1):29-54.
    Aristotle’s Prior Analytics identifies deductions simpliciter with inferential necessity, so that a deduced conclusion is necessarily inferred from some premises. Modern logical reconstructions claim that inferential necessity in Aristotle corresponds to logical validity. However, this logical reconstruction fails on two accounts. First, logical validity does not highlight Aristotle’s distinction between inferential necessity and predicative necessity, meaning that the inferential necessity of a deduction is not of the same kind as the predicative necessity of a non‑deductive argument. Second, logical validity does (...)
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  31. Aristotle on Modality and Predicative Necessity.Jean-Louis Hudry - 2013 - International Philosophical Quarterly 53 (1):5-21.
    Many logicians have tried to formalize a modal logic from the Prior Analytics, but the general view is that Aristotle has failed to offer a consistent modal logic there. This paper explains that Aristotle is not interested in modal logic as such. Modalities for him pertain to the relations of predication, without challenging the assertoric system of deductions simpliciter. Thus, demonstrations or dialectical deductions have modal predicates and yet are still deductions simpliciter. It is a matter of distinguishing inferential necessity (...)
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  32. Necessidade, mediação e o papel do 'toi tauta einai' nos Primeiros Analíticos I.4 e I.7 de Aristóteles.Felipe Weinmann - 2013 - Revista Do Seminário Dos Alunos Do PPGLM/UFRJ 4 (1):70-87.
  33. Os seis requisitos das premissas da demonstração científica em Aristóteles.Lucas Angioni - 2012 - Manuscrito 35 (1):7-60.
    I discuss in this paper the six requirements Aristotle advances at Posterior Analytics A-2, 71b20-33, for the premisses of a scientific demonstration. I argue that the six requirements give no support for an intepretation in terms of “axiomatization”. Quite on the contrary, the six requirements can be consistently understood in a very different picture, according to which the most basic feature of a scientific demonstration is to explain a given proposition by its appropriate cause.
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  34. TRÊS TIPOS DE ARGUMENTO SOFÍSTICO.Lucas Angioni - 2012 - Dissertatio 36:187-220.
    This paper attempts to clarify the nature and the importance of a third kind of sophistic argument that is not always found in the classification of those arguments in the secondary literature. An argument of the third kind not only is a valid one, but is also constituted of true propositions. What makes it a sophistic argument is the fact that it produces a false semblance of scientific explanation: its explanation seems to be appropriate to the explanandum without being so. (...)
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  35. A LÓGICA DE ARISTÓTELES: PROBLEMAS INTERPRETATIVOS E ABORDAGENS CONTEMPORÂNEAS DOS PRIMEIROS ANALÍTICOS.Mateus Ricardo Fernandes Ferreira - 2012 - Dissertation, University of Campinas
  36. Figures of Prosleptic Syllogisms in Prior Analytics 2.7.Marko Malink - 2012 - Classical Quarterly 62 (1):163-178.
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  37. Aristotle's Megarian Manoeuvres.Kit Fine - 2011 - Mind 120 (480):993-1034.
    Towards the end of Theta.4 of the Metaphysics, Aristotle appears to endorse the obviously invalid modal principle that the truth of A will entail the truth of B if the possibility of A entails the possibility of B. I attempt to show how Aristotle's endorsement of the principle can be seen to arise from his accepting a non-standard interpretation of the modal operators and I indicate how the principle and its interpretation are of independent interest, quite apart from their role (...)
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  38. Aristotle's Modal Proofs.Adriane Rini - 2011 - Springer.
    All the way through An.Pr. A9 11, Aristotle gives a new and separate proof of each modal syllogism. He does not take the mixed syllogisms as entirely trivial and obvious. He tries to explain them and to establish their validity. And that is where ...
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  39. Michael Wolff Über Beweise Für Vollkommene Syllogismen Bei Aristoteles.Theodor Ebert - 2010 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 41 (1):215 - 231.
    The paper rejects Michael Wolff's claim that Aristotle offers proofs for the validity of his perfect syllogisms.
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  40. Systemy sylogistyki dowodowej.Piotr Kulicki - 2010 - Roczniki Filozoficzne 58 (1):139-154.
    Aristotle in Analytica Posteriora presented a notion of proof as a special case of syllogism. In the present paper the remarks of Aristotle on the subject are used as an inspiration for developing formal systems of demonstrative syllogistic, which are supposed to formalize syllogisms that are proofs. We build our systems in the style of J. Łukasiewicz as theories based on classical propositional logic. The difference between our systems and systems of syllogistic known from the literature lays in the interpretation (...)
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  41. Suhrawardi on Syllogisms.Zia Movahed - 2010 - Sophia Perennis 2:5-18.
  42. Demonstração e Silogismo nos Analíticos de Aristóteles.Francine Maria Ribeiro - 2010 - Cadernos da Graduação 8:153-161.
  43. A Simple Semantics for Aristotelian Apodeictic Syllogistics.Sara L. Uckelman & Spencer Johnston - 2010 - Advances in Modal Logic 8:454-469.
    We give a simple definition of validity for syllogisms involving necessary and assertoric premises which validates all and only the Aristotelian apodeictic syllogisms.
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  44. A Simple Semantics for Aristotelian Apodeictic Syllogistics.Sara L. Uckelman & Spencer Johnston - 2010 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 454-469.
  45. Transitivity Cannot Explain Perfect Syllogisms.Fabio Acerbi - 2009 - Rhizai. A Journal for Ancient Philosophy and Science 11:23-42.
    Aristotle claims that the necessity of the syllogisms in the first figure is evident, and calls them ‘perfect’ on this basis. The perfection of such syllogisms, most notably barbara, appears to be correlated with the actual disposition of the middle term. G. Patzig strengthened the correlation to an explanation, claiming that in virtue of that disposition the transitivity of the relation ‘belongs to all’ between the terms becomes manifest. The present article shows that the modern scheme of transitivity, namely, with (...)
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  46. Metaxu.Emmanuel Alloa - 2009 - Revue de Métaphysique et de Morale 62 (2):247.
    Depuis la renaissance des études aristotéliciennes avec Werner Jaeger, on a souvent observé la fréquence lexicographique des termes dénotant la médiété et la médiation dans le corpus aristotélicien. Cette récurrence a cependant généralement été traitée comme un effet homonymique, rien ne permettant de relier a priori la médiété éthique, le terme intermédiaire en logique ou encore le milieu perceptif. Et pourtant, le fait qu'Aristote s'interroge lui-même sur cette « plurivocité » du médium peut être lu comme une indication que, sous (...)
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  47. Michael Wolff über Syllogismen bei Aristoteles und Vernunftschlüsse bei Kant.Th Ebert - 2009 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 40 (2):357-372.
    This is a critique of Michael Wolff's ideas on Kant and Aristotle. I criticize in particular his overestimation of Kant as a logician and his claim that Aristotle wants to offer proofs for his perfect syllogisms.
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  48. A Critical Examination of Ibn-Sina’s Theory of the Conditional Syllogism.Zia Movahed - 2009 - Sophia Perennis 1:5-22.
  49. Establishing Connections Between Aristotle's Natural Deduction and First-Order Logic.Edgar Jose Andrade & Edward Samuel Becerra - 2008 - History and Philosophy of Logic 29 (4):309-325.
    This article studies the mathematical properties of two systems that model Aristotle's original syllogistic and the relationship obtaining between them. These systems are Corcoran's natural deduction syllogistic and ?ukasiewicz's axiomatization of the syllogistic. We show that by translating the former into a first-order theory, which we call T RD, we can establish a precise relationship between the two systems. We prove within the framework of first-order logic a number of logical properties about T RD that bear upon the same properties (...)
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  50. O conhecimento científico no livro I dos Segundos Analíticos de Aristóteles.Lucas Angioni - 2007 - Journal of Ancient Philosophy 1 (2):1-24.
    I examine Aristotle’s definition of scientific knowledge in Posterior Analytics 71b 9-12 and try to understand how it relates to the sophistical way of knowing and to "kata sumbebekos knowledge". I claim that scientific knowledge of p requires knowing p by its appropriate cause, and that this appropriate cause is a universal (katholou) in the restricted sense Aristotle proposes in 73b 26-27 ff., i.e., an attribute coextensive with the subject (an extensional feature) and predicated of the subject in itself (an (...)
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