Results for 'Syllogism History'

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  1.  51
    Modal Syllogistics in the Middle Ages.Henrik Lagerlund - 2000 - Brill.
    This book presents the first study of the development of the theory of modal syllogistic in the Middle Ages.
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  2. Aristotle's Syllogistic From the Standpoint of Modern Formal Logic.Jan Łukasiewicz - 1951 - Oxford, England: Garland.
  3.  8
    Relational Syllogism and the History of Arabic Logic, 900-1900. [REVIEW]Samet Büyükada - 2015 - Nazariyat, Journal for the History of Islamic Philosophy and Sciences 4 (7):131-135.
  4.  51
    Hypothetical Syllogistic and Stoic Logic.Anthony Speca - 2001 - Brill.
    This book uncovers and examines the confusion in antiquity between Aristotle's hypothetical syllogistic and Stoic logic, and offers a fresh perspective on the ...
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  5.  97
    Syllogistic Reasoning as a Ground for the Content of Judgment: A Line of Thought From Kant Through Hegel to Peirce.Preston Stovall - 2020 - European Journal of Philosophy (4):864-886.
    In this paper I develop Paul Redding’s suggestion that Peircean abduction and Hegel’s discussion of the syllogism can be seen as a working out of Kant’s treatment of the reflecting power of judgment, particularly concerning its role in conceptual change. After some historical background I regiment a use of singular terms, kind terms, and predicates across Hegel’s three syllogistic figures and reconstruct an account of comprehension and extension for this system suggested by Peirce. In doing so I show that (...)
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  6.  14
    Toward a History of Syllogistic After Avicenna: Notes on Rescher's Studies on Arabic Modal Logic.T. Street - 2000 - Journal of Islamic Studies 11 (2):209-228.
  7.  38
    Syllogistic with Indefinite Terms.Enrique Alvarez & Manuel Correia - 2012 - History and Philosophy of Logic 33 (4):297-306.
    This paper presents a restructured set of axioms for categorical logic. In virtue of it, the syllogistic with indefinite terms is deduced and proved, within the categorical logic boundaries. As a result, the number of all the conclusive syllogisms is deduced through a simple and axiomatic methodology. Moreover, the distinction between immediate and mediate inferences disappears, which reinstitutes the unity of Aristotelian logic.
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  8. 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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  9.  23
    Deductions and Reductions Decoding Syllogistic Mnemonics.John Corcoran, Daniel Novotný & Kevin Tracy - 2018 - Entelekya Logico-Metaphysical Review 2 (1):5-39.
    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 theories (...)
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  10.  39
    The Syllogistic Theory of Boethius.Manuel Correia - 2009 - Ancient Philosophy 29 (2):391-405.
  11. Aristotle’s Syllogistic and Core Logic.Neil Tennant - 2014 - History and Philosophy of Logic 35 (2):120-147.
    I use the Corcoran–Smiley interpretation of Aristotle's syllogistic as my starting point for an examination of the syllogistic from the vantage point of modern proof theory. I aim to show that fresh logical insights are afforded by a proof-theoretically more systematic account of all four figures. First I regiment the syllogisms in the Gentzen–Prawitz system of natural deduction, using the universal and existential quantifiers of standard first-order logic, and the usual formalizations of Aristotle's sentence-forms. I explain how the syllogistic is (...)
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  12. Is Aristotle's Syllogistic a Logic?Phil Corkum - forthcoming - History and Philosophy of Logic.
    Much of the last fifty years of scholarship on Aristotle’s syllogistic suggests a conceptual framework under which the syllogistic is a logic, a system of inferential reasoning, only if it is not a theory or formal ontology, a system concerned with general features of the world. In this paper, I will argue that this a misleading interpretative framework. The syllogistic is something sui generis: by our lights, it is neither clearly a logic, nor clearly a theory, but rather exhibits certain (...)
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  13. The Practical Syllogism and Deliberation in Aristotle’s Causal Theory of Action.Alfred R. Mele - 1981 - New Scholasticism 55 (3):281-316.
    In the present paper, I want to contribute to a correct understanding of Aristotle's action theory by explaining just how two of the key concepts which it involves are connected and by showing that, contrary to what a number of commentators have said, there are causal concepts. The concepts in question are those of deliberation and the so-called "practical syllogism.".
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  14.  7
    Arabic Logic From Al-Fārābī to Averroes : A Study of the Early Arabic Categorical, Modal, and Hypothetical Syllogistics.Saloua Chatti - 2019 - Springer Verlag.
    This monograph explores the logical systems of early logicians in the Arabic tradition from a theoretical perspective, providing a complete panorama of early Arabic logic and centering it within an expansive historical context. By thoroughly examining the writings of the first Arabic logicians, al-Fārābī, Avicenna and Averroes, the author analyzes their respective theories, discusses their relationship to the syllogistics of Aristotle and his followers, and measures their influence on later logical systems. Beginning with an introduction to the writings of the (...)
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  15.  16
    The Syllogistics of Class-Logic. A Unified Associative System of Definite Classes.Ingeborg Seifert - 1986 - Philosophy and History 19 (1):26-27.
  16.  95
    Dialectic and the Syllogism.Robin Smith - 1994 - Ancient Philosophy 14 (S1):133-151.
  17.  47
    Syllogistic: Old Wine in New Bottles.George Englebretsen - 2002 - History and Philosophy of Logic 23 (1):31-35.
    In the late nineteenth century there were two very active lines of research in the field of formal logic. First, logicians (mostly in English-speaking countries) were engaged in formulating a generally traditional logic as an algebra, a part of mathematics; second, logicians (mostly on the continent) were busy building a non-traditional logic that could serve, not as a part of, but as the foundation of, mathematics. By the end of the First World War the former line had been pretty well (...)
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  18.  67
    Assertoric Vs. Modal Syllogistic.Gisela Striker - 1994 - Ancient Philosophy 14 (S1):39-51.
  19. The Destructive Hypothetical Syllogism in Greek Logic and in Attic Oratory.Stanley Wilcox - 1939 - [New Haven.
  20.  2
    The Logic of Essentialism: An Interpretation of Aristotle’s Modal Syllogistic.Paul Thom - 1996 - Dordrecht, Boston, and London: Kluwer Academic Publishers.
    Aristotle's modal syllogistic has been an object of study ever since the time of Theophrastus; but these studies have been somewhat desultory. Remarkably, in the 1990s several new lines of research have appeared, with series of original publications by Fred Johnson, Richard Patterson and Ulrich Nortmann. Johnson presented for the first time a formal semantics adequate to a de re reading of the apodeictic syllogistic; this was based on a simple intuition linking the modal syllogistic to Aristotelian metaphysics. Nortmann developed (...)
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  21.  5
    On the Syllogism.John A. Mourant - 1968 - Philosophical Studies (Dublin) 17:270-272.
    This is the most recent volume in that fine series, Rare Masterpieces of Science and Philosophy As in other volumes the reader will be much indebted to the editor and publisher for bringing out material which heretofore has been relatively inaccessible. In the present instance this material consists of the more important essays by De Morgan on the syllogism—essays which offer a valuable supplement to his well known Formal Logic and enable us to perceive more clearly why De Morgan (...)
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  22.  2
    Three Logicians: Aristotle, Leibniz, and Sommers and the Syllogistic.George Englebretsen - 1981 - Van Gorcum.
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  23.  19
    The Aftermath of Syllogism. Aristotelian Logical Argument From Avicenna to Hegel.J. Mendelsohn - 2021 - History and Philosophy of Logic 42 (2):189-191.
    This volume brings together nine previously unpublished, historically focused papers covering syllogistic logic and the notion of the syllogism. The book’s purpose, according to the editors, is ‘to...
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  24.  94
    Aristotle’s Syllogistic, Modern Deductive Logic, and Scientific Demonstration.Edward M. Engelmann - 2007 - American Catholic Philosophical Quarterly 81 (4):535-552.
    This article investigates the nature of Aristotelian syllogistics and shows that the categorical syllogism is fundamentally about showing the connection, in the premises of the syllogism, between the major and minor terms as stated in the conclusion. It discusses how this is important for the use of the syllogism in scientific demonstration. The article then examines modern deductive logic with an eye to they way in which it contrasts with Aristotelian syllogistics. It shows howmodern logic is about (...)
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  25. The Ethical Syllogism.Paula Gottlieb - 2008 - History of Philosophy & Logical Analysis 11.
    Aristotle’s practical syllogism is an ethical topic. It is possible to construct an ethical syllogism that explains the actions of the good human being, with the first part of the minor premise referring to the agent’s character. The resulting account coheres with Aristotle’s discussions of the akratic, the enkratic and the learner, and with Aristotle’s view that practical wisdom requires full ethical virtue and conversely. The ethical syllogism is central to Aristotle’s ethic of virtue.
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  26.  13
    Opposition and the Syllogism.Theodore de Laguna - 1912 - Journal of Philosophy 9 (15):393.
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  27. How to Base Apodeictic Syllogistic on Essentialist Theory.Paul Thom - 1998 - History of Philosophy & Logical Analysis 1.
    Essentialist theories are based on notions of necessity and essentiality. Kinds and Quasi-Kinds can be defined in terms of these notions. Aristotle's essentialism asserts that Kinds are unions of Quasi-Kinds, Kinds that can overlap are necessarily included in a common Kind, and Kinds partition into sub-Kinds. Truth-conditions for the apodeictic propositions of Aristotle's modal syllogistic are stated in terms of necessity and essentiality, but independent of theses -. While the basic insights motivating Patterson's and Nortmann's interpretations of modal syllogistic are (...)
     
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  28. The Ethical Syllogism.Paula Gottlieb - 2009 - History of Philosophy & Logical Analysis 12.
    Aristotle’s practical syllogism is an ethical topic. It is possible to construct an ethical syllogism that explains the actions of the good human being, with the first part of the minor premise referring to the agent’s character. The resulting account coheres with Aristotle’s discussions of the akratic, the enkratic and the learner, and with Aristotle’s view that practical wisdom requires full ethical virtue and conversely. The ethical syllogism is central to Aristotle’s ethic of virtue.
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  29.  36
    Opposition and the Syllogism.Theodore de Laguna - 1912 - Journal of Philosophy, Psychology and Scientific Methods 9 (15):393-400.
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  30.  5
    The Status of Conditional Syllogism in Syllogistics.Moussa Fatahine & Yagoubi Mahmmoud - 2020 - Studia Humana 9 (1):12-18.
    The form of the conditional syllogism resembles that of the categorical syllogism, while its subject matter is at least a conditional premise, but its conclusion is always conditional conjunctive or disjunctive. This mixed structure to which we apply the rules of the categorical syllogism, is a structure of which Aristotle did not have an idea, and which the Stoics did not conceive, and which the non-Arabian logicians did not know until in modern times. But what we have (...)
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  31.  3
    Logic and Interpretation: Syllogistic Reconstructions in Simplicius’ Commentary on Aristotle’s Physics.Orna Harari - 2021 - History of Philosophy & Logical Analysis 24 (1):122-139.
    In this article I explain three puzzling features of Simplicius’ use of syllogistic reconstructions in his commentary on Aristotle’s Physics: Why does he reconstruct Aristotle’s non-argumentative remarks? Why does he identify the syllogistic figure of an argument but does not explicitly present its reconstruction? Why in certain lemmata does he present several reconstructions of the same argument? Addressing these questions, I argue that these puzzling features are an expression of Simplicius’ assumption that formal reasoning underlies Aristotle’s prose, hence they reflect (...)
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  32.  20
    Notes on the Modal Syllogism.Venant Cauchy - 1956 - Modern Schoolman 34 (2):121-130.
  33.  45
    Alexander of Aphrodisias and Others on a Controversial Demonstration in Aristotle’s Modal Syllogistic.Kevin L. Flannery - 1993 - History and Philosophy of Logic 14 (2):201-214.
    (1993). Alexander of aphrodisias and others on a controversial demonstration in aristotle’s modal syllogistic. History and Philosophy of Logic: Vol. 14, No. 2, pp. 201-214.
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  34.  21
    In Defense of the Syllogism.Henry Veatch - 1949 - Modern Schoolman 27 (3):184-202.
  35.  32
    Aristotle's Syllogistic. By L. E. Rose.Lee C. Rice - 1969 - Modern Schoolman 46 (3):283-283.
  36.  35
    Models for the Practical Syllogism.Rosamond Kent Sprague - 1987 - Ancient Philosophy 7:87-94.
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  37. Relational Syllogisms and the History of Arabic Logic, 900-1900.Khaled El-Rouayheb - 2010 - Brill.
    Relational inferences are a well-known problem for Aristotelian logic. This book charts the development of thinking about this problem by logicians writing in Arabic from the ninth to the nineteenth century. It shows that that the development of Arabic logic did not - as is often supposed - come to an end in the fourteenth century.
     
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  38.  6
    Opposition and the Syllogism.Karl Schmidt - 1912 - Journal of Philosophy 9 (24):668.
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  39.  70
    A Reconstruction of Aristotle's Modal Syllogistic.Marko Malink - 2006 - History and Philosophy of Logic 27 (2):95-141.
    Ever since ?ukasiewicz, it has been opinio communis that Aristotle's modal syllogistic is incomprehensible due to its many faults and inconsistencies, and that there is no hope of finding a single consistent formal model for it. The aim of this paper is to disprove these claims by giving such a model. My main points shall be, first, that Aristotle's syllogistic is a pure term logic that does not recognize an extra syntactic category of individual symbols besides syllogistic terms and, second, (...)
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  40.  1
    Aristotelian and Stoic Syllogistic in the Anonymous Commentary on Plato’s Theaetetus.Bernd Hene - 2021 - History of Philosophy & Logical Analysis 24 (1):44-70.
    The present paper investigates the question as to how and for what purposes the Middle Platonic author of the Anonymous Commentary on Plato’s Theaetetus uses Aristotelian and Stoic syllogistic in his interpretation of the Platonic text. This investigation shows that the commentator employs Aristotelian categorical syllogistic as an exegetical tool for reconstructing arguments in the Platonic text, enabling him not only to uncover doctrinal statements that are in his view hidden in the Platonic text, but also to dissociate Plato from (...)
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  41.  21
    Opposition and the Syllogism.Karl Schmidt - 1912 - Journal of Philosophy, Psychology and Scientific Methods 9 (24):668-669.
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  42.  34
    The Principle of Contradiction and Ecthesis in Aristotle's Syllogistic.Pierre Joray - 2014 - History and Philosophy of Logic 35 (3):219-236.
    In his 1910 book On the principle of contradiction in Aristotle, Jan Łukasiewicz claims that syllogistic is independent of the principle of contradiction . He also argues that Aristotle would have defended such a thesis in the Posterior Analytics. In this paper, we first show that Łukasiewicz's arguments for these two claims have to be rejected. Then, we show that the thesis of the independence of assertoric syllogistic vis-à-vis PC is nevertheless true. For that purpose, we first establish that there (...)
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  43.  19
    The Extra-Syllogistic Forms of Reasoning.Sylvester Hartman - 1939 - Proceedings of the American Catholic Philosophical Association 15:235-241.
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  44.  49
    Restoring Olympiodorus’ Syllogistic.Harold Tarrant - 1997 - Ancient Philosophy 17 (2):411-424.
  45.  10
    Perfect and Imperfect Syllogism.Peter D. O’Neill & Richard F. Washell - 1966 - New Scholasticism 40 (2):190-198.
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  46.  13
    Spiritual Exercises In A Syllogism.Robert L. McCormack - 1927 - Modern Schoolman 3 (4):55-56.
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  47.  43
    A Formal Reconstruction of Buridan's Modal Syllogism.Spencer Johnston - 2015 - History and Philosophy of Logic 36 (1):2-17.
    In this paper, we provide a historical exposition of John Buridan's theory of divided modal propositions. We then develop a semantic interpretation of Buridan's theory which pays particular attention to Buridan's ampliation of modal terms. We show that these semantics correctly capture his syllogistic reasoning.
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  48.  2
    The Aftermath of Syllogism. Aristotelian Logical Argument From Avicenna to Hegel: M. SGARBI and M. COSCI, Editors. London and New York: Bloomsbury Academic, 2018. 220 Pp. Paperback $39.95, ISBN 978-1-3501-2315-1, Hardback $120.00, ISBN 978-1-3500-4352-7, ePDF $35.95, ISBN 978-1-3500-4354-1. [REVIEW]J. Mendelsohn - 2021 - History and Philosophy of Logic 42 (2):189-191.
    This volume brings together nine previously unpublished, historically focused papers covering syllogistic logic and the notion of the syllogism. The book’s purpose, according to the editors, is ‘to...
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  49.  27
    On the Fourth Figure of the Syllogism.Paul Henle - 1949 - Philosophy of Science 16 (2):94-104.
    Perhaps the strangest controversy in the history of logic is that over the fourth figure of the syllogism. There was never any argument as to what syllogisms are valid, but merely as to how they should be arranged. Aristotle had divided syllogisms into figures according to whether the middle term was subject of one premiss and predicate of the other, or predicate of both premisses, or subject of both. Theophrastus and Eudemus subdivided the first figure into those moods (...)
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  50.  5
    The Extra-Syllogistic Forms of Reasoning.Sylvester Hartman - 1939 - Proceedings of the American Catholic Philosophical Association 15:235-241.
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