Results for 'apparent syllogism'

958 found
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  1.  31
    The Theoretical Unity of Aristotle’s Categorical Syllogistic and Sophistics.Gonzalo Llach - forthcoming - History and Philosophy of Logic:1-18.
    The hypothesis of a theoretical unity between On Sophistical Refutations and Prior Analytics presents a major challenge to scholars attempting to unify the criteria of analysis. This paper examines this problem and proposes a middle ground between the perspectives of Woods and Boger to address this crucial question: If a unitary and coherent theory of deduction exists, why does not the technical apparatus of syllogistic modes for analyzing fallacies appear in SE? This paper makes useful contributions to the discussion on (...)
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  2.  10
    The Theoretical Unity of Aristotle’s Categorical Syllogistic and Sophistics.Gonzalo Llach Independent Researcher - forthcoming - History and Philosophy of Logic:1-18.
    The hypothesis of a theoretical unity between On Sophistical Refutations and Prior Analytics presents a major challenge to scholars attempting to unify the criteria of analysis. This paper examines this problem and proposes a middle ground between the perspectives of Woods and Boger to address this crucial question: If a unitary and coherent theory of deduction exists, why does not the technical apparatus of syllogistic modes for analyzing fallacies appear in SE? This paper makes useful contributions to the discussion on (...)
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  3. (1 other version)Pre-Stoic Hypothetical Syllogistic in Galen.Susanne Bobzien - 2002 - The Bulletin of the Institute of Classical Studies:57-72.
    ABSTRACT: This paper traces the evidence in Galen's Introduction to Logic (Institutio Logica) for a hypothetical syllogistic which predates Stoic propositional logic. It emerges that Galen is one of our main witnesses for such a theory, whose authors are most likely Theophrastus and Eudemus. A reconstruction of this theory is offered which - among other things - allows to solve some apparent textual difficulties in the Institutio Logica.
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  4.  75
    Did Aristotle Endorse Aristotle’s Thesis? A Case Study in Aristotle’s Metalogic.Yale Weiss - 2022 - Notre Dame Journal of Formal Logic 63 (4):551-579.
    Since McCall (1966), the heterodox principle of propositional logic that it is impossible for a proposition to be entailed by its own negation—in symbols, ¬(¬φ→φ)—has gone by the name of Aristotle’s thesis, since Aristotle apparently endorses it in Prior Analytics 2.4, 57b3–14. Scholars have contested whether Aristotle did endorse his eponymous thesis, whether he could do so consistently, and for what purpose he endorsed it if he did. In this article, I reconstruct Aristotle’s argument from this passage and show that (...)
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  5.  57
    Aristotle’s Treatment of Fallacious Reasoning in Sophistical Refutations and Prior Analytics.George Boger - unknown
    Aristotle studies syllogistic argumentation in Sophistical Refutations and Prior Analytics. In the latter he focuses on the formal and syntactic character of arguments and treats the sullogismoi and non-sullogismoi as argument patterns with valid or invalid instances. In the former Aristotle focuses on semantics and rhetoric to study apparent sullogismoi as object language arguments. Interpreters usually take Sophistical Refutations as considerably less mature than Prior Analytics. Our interpretation holds that the two works are more of a piece than previously (...)
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  6.  69
    (1 other version)The semiotic status of commands.Herbert Gaylord Bohnert - 1945 - Philosophy of Science 12 (4):302-315.
    The large number of writers who have in recent years attacked the problem of the logical nature of commands appear generally in agreement in accepting the distinction of common grammar between imperative and declarative sentences as representing, albeit in no clear one-to-one manner, some real difference in the logical character of the two types of expression, and possibly in the psychological sign-functioning mechanism itself. The crucial logical difference adduced is that commands can apparently rot be classified as true or false. (...)
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  7.  28
    Problem istnienia w platonizmie w świetle nauki św. Tomasza z Akwinu.Piotr Cyciura - 2012 - Filo-Sofija 12 (18).
    THE PROBLEM OF BEING IN PLATONISM FROM THE PERSPECTIVE OF THOMAS AQUINAS. A META-SYSTEMATIC ESSAY In spite of the apparent opposition to Plato, Aristotle accepted a lot from the thought of his master. The intuition, which plays the key role in the system of Plato, was understood by Aristotle in terms of how we grasp the middle term of syllogism. It is not, therefore, the intuition of being, but the reasoning, departing from the experience (nature’s “intention”), which is (...)
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  8.  55
    Second thoughts on the critiques of big rhetoric.Edward Schiappa - 2001 - Philosophy and Rhetoric 34 (3):260-274.
    In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Rhetoric 34.3 (2001) 260-274 [Access article in PDF] Second Thoughts on the Critiques of Big Rhetoric Edward Schiappa This note is divided into three parts. First, I explore some answers to the question "How did Rhetoric get so Big?" Second, I review some of the more important criticisms of a "globalized" or "universalized" view of rhetorical studies. Finally, I contend that the critiques of Big Rhetoric do (...)
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  9.  21
    Aristotle’s Expansion of the Taxonomy of Fallacy in De Sophisticis Elenchis 8.Carrie Swanson - 2012 - History of Philosophy & Logical Analysis 15 (1):200-237.
    In the eighth chapter of De Sophisticis Elenchis, Aristotle introduces a mode of sophistical refutation that constitutes an addition to the taxonomy of the earlier chapters of the treatise. The new mode is pseudo-scientific refutation, or “the [syllogism or refutation] which though real, [merely] appears appropriate to the subject matter”. Against the grain of its most commonly accepted reading, I argue that Aristotle is not concerned in SE 8 to establish that both the apparent refutations of SE 4–7 (...)
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  10.  39
    Trinitární paralogismy, univerzálnost logiky a vyústění středověké nominalistické tradice.Miroslav Hanke - 2015 - Studia Neoaristotelica 12 (3):45-75.
    The so-called “Trinitarian paralogisms” are apparently legitimate instances of syllogistic inference-schemes with premises and conclusions containing expressions of the language of the Trinity doctrine, which fail to be truth- or acceptability-preserving. The logical problem of the Trinity splits into two levels of analysis. First, the technical aspects of Trinitarian paralogisms are analysed in terms of logical innovations in theories of “suppositio” and “distributio”. Second, the philosophical aspect of Trinitarian paralogisms translates into the question of formality as general applicability of logic. (...)
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  11. The probabilistic approach to human reasoning.Mike Oaksford & Nick Chater - 2001 - Trends in Cognitive Sciences 5 (8):349-357.
    A recent development in the cognitive science of reasoning has been the emergence of a probabilistic approach to the behaviour observed on ostensibly logical tasks. According to this approach the errors and biases documented on these tasks occur because people import their everyday uncertain reasoning strategies into the laboratory. Consequently participants' apparently irrational behaviour is the result of comparing it with an inappropriate logical standard. In this article, we contrast the probabilistic approach with other approaches to explaining rationality, and then (...)
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  12.  25
    Descartes critique de la logique pure.Édouard Mehl - 2005 - Les Etudes Philosophiques 75 (4):485.
    La critique cartésienne de la logique est souvent reconduite à celle du syllogisme et d’une dialectique dont l’Organon aristotélicien fournit l’exposé canonique. On veut montrer ici, en resituant le propos cartésien dans son cheminement initial , que cette critique vise aussi, sinon en premier lieu, une conception alternative d’inspiration lulliste qui tend à s’imposer dans la Schulmetaphysik allemande contemporaine, et par le biais de laquelle celle-ci, déjà, prétend pouvoir se constituer en système encyclopédique du savoir. Le point culminant de cette (...)
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  13.  67
    The Cogito and the Gift.Gabriel Andrus - 2017 - Philosophy Today 61 (1):211-232.
    Jean-Luc Marion’s phenomenology has received much attention recently, both critical and constructive, but much less work has been done looking at the relationship between Marion’s work on Descartes and his phenomenological project. The present article begins by making a point of clarifying Marion’s understanding of the meaning of Descartes’s cogito, and contrasting it with the standard understanding as found in Leibniz, Kant, and Heidegger. Following the discussion of these various interpretations of the cogito, we examine some of the similarities between (...)
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  14.  16
    Un estudio sobre la premisa mayor del silogismo cosmológico kantiano.Miguel Alejandro Herszenbaun - 2014 - Dianoia 59 (72):49-62.
    La relación entre máxima lógica y principio sintético de la razón pura ocupa un lugar fundamental en la "Dialéctica trascendental". Esto se nota en la formulación de los problemas que la Dialéctica se propone abordar, pues hace una referencia explícita al pasaje de la máxima al principio mencionado ; sin embargo, Kant no explica cómo se haría tal pasaje. Aquí se propone una explicación de dicho pasaje a través de un estudio pormenorizado de la premisa mayor del silogismo cosmológico, donde (...)
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  15.  56
    How many syllogisms are there?Colwyn Williamson - 1988 - History and Philosophy of Logic 9 (1):77-85.
    The incompleteness and artificiality of the ?traditional logic? of the textbooks is reflected in the way that syllogisms are commonly enumerated. The number said to be valid varies, but all the numbers given are of a kind that logicians should find irritating. Even the apparent harmony of what is almost invariably said to be the total number of syllogisms, 256, turns out to be illusory. In the following, it is shown that the concept of a distribution-value, which is related (...)
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  16.  36
    Reason, cause, and rationality in psychological explanation.Nigel Mackay - 1999 - Journal of Theoretical and Philosophical Psychology 19 (1):1-21.
    Psychoanalytic accounts offer a mix of reasons and causes to explain action. Adolf Grünbaum argues that these fail to be proper explanations because they are neither justified by inductively established laws, nor fit the standard form of rational explanation, the belief-plus-desire-yields-action structure of the practical syllogism. Grünbaum accepts rational explanation as cogent and transparently causal because, he asserts, reasons are causes. Yet he omits to show how they can be, especially in the face of the apparent fact that (...)
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  17.  40
    Green’s Attack on Formal Logic.Phillip Ferreira - 2003 - Bradley Studies 9 (1):40-51.
    Despite renewed interest in T.H. Green’s social and political theory, little attention has as yet been given to his metaphysics and epistemology — even more neglected, though, are his views on logical matters. It is unclear why this is. I suspect that the obscurity of his discussion has much to do with it. Green routinely refers to writers in whom there is little interest today; and a good deal of effort is required to penetrate his technical vocabulary. Still, I believe (...)
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  18.  31
    Book Review: Aristotle's Rhetoric: Philosophical Essays. [REVIEW]Carol Poster - 1995 - Philosophy and Literature 19 (2):361-362.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Aristotle’s Rhetoric: Philosophical EssaysCarol PosterAristotle’s Rhetoric: Philosophical Essays, edited by David J. Furley and Alexander Nehamas; xv & 322 pp. Princeton: Princeton University Press, 1994, $45.00.Scholars will find Aristotle’s Rhetoric, Philosophical Essays fascinating both for what is present and what is absent. As Alexander Nehamas states (pp. xi–xiv), this volume attempts to rectify the neglect by philosophers of Aristotle’s Rhetoric in particular and rhetoric in general. While the (...)
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  19. Peirce’s Propositional Logic.Randall R. Dipert - 1981 - Review of Metaphysics 34 (3):569 - 595.
    BEFORE Frege’s Begriffsschrift, propositional logic was submerged in the often murky theory of the "hypothetical syllogism." With the exception of the Stoa, a handful of astute mediaeval logicians, Leibniz, and Bolzano, one might well obtain the impression from studying the history of logic that Frege created his theory ex nihilo—which is substantially true, since Frege was apparently little influenced by previous work. One might also obtain the impression, especially by reading Frege himself, that very little was being done on (...)
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  20.  67
    Completion, reduction and analysis: three proof-theoretic processes in aristotle’s prior analytics.George Boger - 1998 - History and Philosophy of Logic 19 (4):187-226.
    Three distinctly different interpretations of Aristotle’s notion of a sullogismos in Prior Analytics can be traced: (1) a valid or invalid premise-conclusion argument (2) a single, logically true conditional proposition and (3) a cogent argumentation or deduction. Remarkably the three interpretations hold similar notions about the logical relationships among the sullogismoi. This is most apparent in their conflating three processes that Aristotle especially distinguishes: completion (A4-6)reduction(A7) and analysis (A45). Interpretive problems result from not sufficiently recognizing Aristotle’s remarkable degree of (...)
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  21.  80
    Belief bias in informal reasoning.Valerie Thompson & Jonathan St B. T. Evans - 2012 - Thinking and Reasoning 18 (3):278 - 310.
    In two experiments we tested the hypothesis that the mechanisms that produce belief bias generalise across reasoning tasks. In formal reasoning (i.e., syllogisms) judgements of validity are influenced by actual validity, believability of the conclusions, and an interaction between the two. Although apparently analogous effects of belief and argument strength have been observed in informal reasoning, the design of those studies does not permit an analysis of the interaction effect. In the present studies we redesigned two informal reasoning tasks: the (...)
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  22. A history of natural deduction and elementary logic textbooks.Francis Jeffry Pelletier - unknown
    In 1934 a most singular event occurred. Two papers were published on a topic that had (apparently) never before been written about, the authors had never been in contact with one another, and they had (apparently) no common intellectual background that would otherwise account for their mutual interest in this topic.1 These two papers formed the basis for a movement in logic which is by now the most common way of teaching elementary logic by far, and indeed is perhaps all (...)
     
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  23. Getting the Wrong Anderson? A Short and Opinionated History of New Zealand Philosophy.Charles Pigden - 2011 - In Graham Robert Oppy & Nick Trakakis, The Antipodean philosopher. Lanham, Md.: Lexington Books. pp. 169-195.
    Is the history of philosophy primarily a contribution to PHILOSOPHY or primarily a contribution to HISTORY? This paper is primarily contribution to history (specifically the history of New Zealand) but although the history of philosophy has been big in New Zealand, most NZ philosophers with a historical bent are primarily interested in the history of philosophy as a contribution to philosophy. My essay focuses on two questions: 1) How did New Zealand philosophy get to be so good? And why, given (...)
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  24. Justifying circumstances and Moore-paradoxical beliefs: A response to Brueckner.John N. Williams - 2009 - Analysis 69 (3):490-496.
    In 2004, I explained the absurdity of Moore-paradoxical belief via the syllogism (Williams 2004): (1) All circumstances that justify me in believing that p are circumstances that tend to make me believe that p. (2) All circumstances that tend to make me believe that p are circumstances that justify me in believing that I believe that p. (3) All circumstances that justify me in believing that p are circumstances that justify me in believing that I believe that p. I (...)
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  25.  34
    Varieties of Logical Form.Mark Sainsbury - 2020 - Disputatio 12 (58):223-250.
    The paper reviews some conceptions of logical form in the light of Andrea Iacona’s book Logical Form. I distinguish the following: logical form as schematization of natural language, provided by, for example, Aristotle’s syllogistic; the relevance to logical form of formal languages like those used by Frege and Russell to express and prove mathematical theorems; Russell’s mid-period conception of logical form as the structural cement binding propositions; the conceptions of logical form discussed by Iacona; and logical form regarded as an (...)
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  26.  95
    Fallacies and formal logic in Aristotle.David Hitchcock - 2000 - History and Philosophy of Logic 21 (3):207-221.
    The taxonomy and analysis of fallacies in Aristotle's Sophistical Refutations pre-date the formal logic of his Prior Analytics A4-6. Of the 64 fully described examples of ?sophistical refutations? which are fallacious because they are only apparently valid, 49 have the wrong number of premisses or the wrong form of premiss or conclusion for analysis by the Prior Analytics theory of the categorical syllogism. The rest Aristotle either frames so that they do not look like categorical syllogisms or analyses in (...)
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  27.  39
    Begging the Question as a Criticism of an Argument in Itself in Topics 8.11.Carrie Swanson - 2016 - History and Philosophy of Logic 37 (1):33-77.
    At Topics 8.11 161b19–33 Aristotle lists five criticisms () which may be leveled against a dialectical argument ‘in itself’ (). The five criticisms correspond in many respects to the familiar conditions Aristotle places on syllogism and refutation. However, begging the question —the violation of the condition that the conclusion of a syllogism be something different () from the premises—seems not to appear on the list of five criticisms. That this omission is only apparent becomes clear once it (...)
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  28.  45
    Editor's Introduction: Partitive Plays, Pipe Dreams.Françoise Meltzer - 1987 - Critical Inquiry 13 (2):215-221.
    There is the famous anecdote about Freud: upon being reminded by a disciple that to smoke cigars is clearly a phallic activity, Freud, cigar in hand, is said to have responded, “Sometimes a good cigar is just a good cigar.” The anecdote demonstrates, it seems to me, a problematic central to psychoanalysis: the discipline which insists on transference and, perhaps even more significantly, on displacement as fundamental principles, ultimately must insist in turn on seeing everything as being “really” something else. (...)
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  29.  28
    Book review: Skeptical Selves: Empiricism and Modernity in the French Novel. [REVIEW]Daniel Gordon - 1997 - Philosophy and Literature 21 (1):179-181.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Skeptical Selves: Empiricism and Modernity in the French NovelDaniel GordonSkeptical Selves: Empiricism and Modernity in the French Novel, by Elena Russo; 225 pp. Stanford: Stanford University Press, 1996, $35.00.Skeptical Selves explains how linguistic relativism has shaped French literature from the Enlightenment to the present. Elena Russo provides three cases: Prévost’s Histoire d’une Grecque moderne (1740), Constant’s Adolphe (1816), and des Forêts’s Le Bavard (1946). Her fascinating scholarly goal (...)
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  30.  21
    Notes on Prior Analytics II 22.68a16–21.Riccardo Zanichelli - 2023 - Elenchos: Rivista di Studi Sul Pensiero Antico 44 (1):181-190.
    At Prior Analytics II 22.68a16–21, Aristotle argues that if A is predicated of all B and C and nothing else, and B is predicated of all C, then A and B convert. In justifying his argument, however, he appears to claim that B is not predicated of all A. This claim has long been a cause of puzzlement to commentators. A widespread view is that the kind of conversion discussed in the passage at issue should be explained in both extensional (...)
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  31.  19
    Freedom and Determinism. [REVIEW]J. M. P. - 1966 - Review of Metaphysics 20 (1):164-164.
    This collection of seven papers by six authors centers about the relation of free action to determinism as both a metaphysical as well as a methodological hypothesis. Chisholm is concerned with the problem of whether a human whose behavior is completely controlled by outside forces can still be considered free; Danto studies the old problem of whether it can be said that actions of men are caused in the same way as the activities of other objects. Richard Taylor examines the (...)
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  32. Luís Duarte d'Almeida, University of Edinburgh.on the Legal Syllogism - 2019 - In Toh Kevin, Plunkett David & Shapiro Scott, Dimensions of Normativity: New Essays on Metaethics and Jurisprudence. New York: Oxford University Press.
     
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  33.  18
    Robert Hanna.Charles J. Kelly Syllogistic - 1986 - The Monist 69 (2).
  34.  19
    John Arthos, Speaking Hermeneutically: Understanding in the Conduct of a Life (Columbia, SC: Universiy of South Carolina Press, 2011). Diana Aurenque, Ethosdenken: Auf der Spur einer ethischen Fragestellung in der Philosophie Martin Heideggers (Freiburg: Verlag Herder, 2011). [REVIEW]Apparent Darkness - 2011 - Graduate Faculty Philosophy Journal 32 (2).
  35.  73
    Modal syllogistics in the Middle Ages.Henrik Lagerlund - 2000 - Boston: Brill.
    This book presents the first study of the development of the theory of modal syllogistic in the Middle Ages.
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  36.  45
    Syllogistic Logic with Cardinality Comparisons, on Infinite Sets.Lawrence S. Moss & Selçuk Topal - 2020 - Review of Symbolic Logic 13 (1):1-22.
    This article enlarges classical syllogistic logic with assertions having to do with comparisons between the sizes of sets. So it concerns a logical system whose sentences are of the following forms: Allxareyand Somexarey, There are at least as manyxasy, and There are morexthany. Herexandyrange over subsets (not elements) of a giveninfiniteset. Moreover,xandymay appear complemented (i.e., as$\bar{x}$and$\bar{y}$), with the natural meaning. We formulate a logic for our language that is based on the classical syllogistic. The main result is a soundness/completeness theorem. (...)
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  37.  79
    Hypothetical syllogistic and Stoic logic.Anthony Speca - 2001 - Boston: 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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  38.  67
    Syllogistic inference.P. N. Johnson-Laird & Bruno G. Bara - 1984 - Cognition 16 (1):1-61.
    This paper reviews current psychological theories of syllogistic inference and establishes that despite their various merits they all contain deficiencies as theories of performance. It presents the results of two experiments, one using syllogisms and the other using three-term series problems, designed to elucidate how the arrangement of terms within the premises affects performance. These data are used in the construction of a theory based on the hypothesis that reasoners construct mental models of the premises, formulate informative conclusions about the (...)
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  39.  51
    Using Syllogistics to Teach Metalogic.Lorenz Demey - 2017 - Metaphilosophy 48 (4):575-590.
    This article describes a specific pedagogical context for an advanced logic course and presents a strategy that might facilitate students’ transition from the object-theoretical to the metatheoretical perspective on logic. The pedagogical context consists of philosophy students who in general have had little training in logic, except for a thorough introduction to syllogistics. The teaching strategy tries to exploit this knowledge of syllogistics, by emphasizing the analogies between ideas from metalogic and ideas from syllogistics, such as existential import, the distinction (...)
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  40. Stoic Syllogistic.Susanne Bobzien - 1996 - Oxford Studies in Ancient Philosophy 14:133-92.
    ABSTRACT: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental (...)
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  41.  60
    The Syllogistic Theory of Boethius.Manuel Correia - 2009 - Ancient Philosophy 29 (2):391-405.
  42.  15
    Syllogistic Logic and Mathematical Proof.Paolo Mancosu & Massimo Mugnai - 2023 - Oxford, GB: Oxford University Press. Edited by Massimo Mugnai.
    Does syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: 'scientific' ('demonstrative') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid's theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, as (...)
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  43.  48
    Syllogistic and its extensions.Otto A. Bird - 1964 - Englewood Cliffs, NJ, USA: Prentice-Hall.
  44.  64
    Syllogistic Logic with Comparative Adjectives.Lawrence S. Moss - 2011 - Journal of Logic, Language and Information 20 (3):397-417.
    This paper adds comparative adjectives to two systems of syllogistic logic. The comparatives are interpreted by transitive and irreflexive relations on the underlying domain. The main point is to obtain sound and complete axiomatizations of the valid formulas in the logics.
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  45.  35
    Syllogistic System for the Propagation of Parasites. The Case of Schistosomatidae.Andrew Schumann & Ludmila Akimova - 2015 - Studies in Logic, Grammar and Rhetoric 40 (1):303-319.
    In the paper, a new syllogistic system is built up. This system simulates a massive-parallel behavior in the propagation of collectives of parasites. In particular, this system simulates the behavior of collectives of trematode larvae.
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  46.  69
    The place of syllogistic in logical theory.Michael Clark - 1980 - Nottingham: Nottingham University Press.
    Chapter 1 presents BS, a basic syllogistic system based on Aristotle's logic, in natural deduction form. Chapters 2 and 3 treat the metatheory of BS: consitency, soundness, independence, and completeness. Chapter 4 and 5 deal with syllogistic and, in turn, propositional and predicate logic, chapter 6 is on existential import, chapter 7 on subject and predicate and chapter 8 on classes. Chapter 9 adds negative variables to BS, and proves its soundness and completeness.
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  47. Aristotle’s assertoric syllogistic and modern relevance logic.Philipp 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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  48. Division, Syllogistic, and Science in Prior Analytics I.31.Justin Vlasits - 2021 - Ergo: An Open Access Journal of Philosophy 8.
    In the first book of the Prior Analytics, Aristotle sets out, for the first time in Greek philosophy, a logical system. 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 interpretive puzzle: how can Aristotle reasonably juxtapose two methods that differ so much in their aims and approach? What can be gained by doing so? Previous interpreters have failed (...)
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    The aftermath of syllogism: Aristotelian logical argument from Avicenna to Hegel.Luca Gili & Marco Sgarbi (eds.) - 2018 - New York: Bloomsbury Academic.
    Syllogism is a form of logical argument allowing one to deduce a consistent conclusion based on a pair of premises having a common term. Although Aristotle was the first to conceive and develop this way of reasoning, he left open a lot of conceptual space for further modifications, improvements and systematizations with regards to his original syllogistic theory. From its creation until modern times, syllogism has remained a powerful and compelling device of deduction and argument, used by a (...)
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    Singular Predication and the Syllogism.Besler Arman - 2024 - Felsefe Arkivi 61:84-90.
    Aristotle’s categorical syllogistic is the first formal deductive system in the history of formal sciences. Most parts or elements of the system are validated by modern (first-order) mathematical logic, but the system is quite limited in scope, as it is incapable of analyzing inferences other than the ‘figure syllogisms’ consisting of a couple of_ a-e-i-o_ premises and an _a-e-i-o_ conclusion, containing three ‘moderately’ universal terms – terms that express neither a highest genus nor a lowest species – each of which (...)
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