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  1. added 2019-01-08
    The Elements of Logic.Mohammad Ali Ejeii - 2008 - Tehran: Samt.
  2. added 2019-01-06
    A Critical Examination of Ibn-Sina’s Theory of the Conditional Syllogism.Ziya Movahed - 2009 - Sophia Perennis 1:5-22.
  3. added 2018-10-06
    Aristotle’s Argument From Truth in Metaphysics Γ 4.Graham Clay - forthcoming - Analysis:any004.
    Some of Aristotle’s statements about the indemonstrability of the Principle of Non-Contradiction (PNC) in Metaphysics Γ 4 merit more attention. The consensus seems to be that Aristotle provides two arguments against the demonstrability of the PNC, with one located in Γ 3 and the other found in the first paragraph of Γ 4. In this article, I argue that Aristotle also relies upon a third argument for the same conclusion: the argument from truth. Although Aristotle does not explicitly state this (...)
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  4. added 2018-08-06
    Rejection in Łukasiewicz's and Słupecki's Sense.Urszula Wybraniec-Skardowska - 2018 - In Urszula Wybraniec-Skardowska & Ángel Garrido (eds.), The Lvov-Warsaw School. Past and Present. Basel, Switzerland: pp. 575-597.
    The idea of rejection originated by Aristotle. The notion of rejection was introduced into formal logic by Łukasiewicz [20]. He applied it to complete syntactic characterization of deductive systems using an axiomatic method of rejection of propositions [22, 23]. The paper gives not only genesis, but also development and generalization of the notion of rejection. It also emphasizes the methodological approach to biaspectual axiomatic method of characterization of deductive systems as acceptance (asserted) systems and rejection (refutation) systems, introduced by Łukasiewicz (...)
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  5. added 2018-06-07
    Opuscula Logica. 2. The Tripropositional Bivalent Level (3L2) and its Relationship with the Aristotelic Syllogistic.Gabriel Garduño-Soto (ed.) - 2008 - Mexico, DF, MEXICO: Author's edition.
    In this fragment of Opuscula Logica it is displayed an arithmetical treatment of the aristotelic syllogisms upon the previous interpretations of Christine Ladd-Franklin and Jean Piaget. For the first time, the whole deductive corpus for each syllogism is presented in the two innovative modalities first proposed by Hugo Padilla Chacón. A. The Projection method (all the possible expressions that can be deduced through the conditional from a logical expression) and B. The Retrojection method (all the possible valid antecedents or premises (...)
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  6. added 2018-04-18
    Aristoteles’te abese irca yöntemiyle ispatlama.Murat Kelikli - 2013 - Kutadgubilig Felsefe-Bilim Araştırmaları Dergisi 23:91-105.
    Redictio ad absurdum is an important part of Aristotle’s syllogistic. It is connected with direct proof and they are complementary methods. All moods of Aristotle are provable by direct methods and redictio ad absurdum. In this paper, I have studied on the bases and principles of redictio ad absurdum, I showed how to prove by redictio ad absurdum, and how to prove Aristotle by redictio ad absurdum. By redictio ad absurdum, all forms of Aristotle’s method proved in the first figure (...)
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  7. added 2018-03-18
    Combinatorial Bitstring Semantics for Arbitrary Logical Fragments.Lorenz Demey & Hans Smessaert - 2018 - Journal of Philosophical Logic 47 (2):325-363.
    Logical geometry systematically studies Aristotelian diagrams, such as the classical square of oppositions and its extensions. These investigations rely heavily on the use of bitstrings, which are compact combinatorial representations of formulas that allow us to quickly determine their Aristotelian relations. However, because of their general nature, bitstrings can be applied to a wide variety of topics in philosophical logic beyond those of logical geometry. Hence, the main aim of this paper is to present a systematic technique for assigning bitstrings (...)
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  8. added 2018-03-18
    Metalogical Decorations of Logical Diagrams.Lorenz Demey & Hans Smessaert - 2016 - Logica Universalis 10 (2-3):233-292.
    In recent years, a number of authors have started studying Aristotelian diagrams containing metalogical notions, such as tautology, contradiction, satisfiability, contingency, strong and weak interpretations of contrariety, etc. The present paper is a contribution to this line of research, and its main aims are both to extend and to deepen our understanding of metalogical diagrams. As for extensions, we not only study several metalogical decorations of larger and less widely known Aristotelian diagrams, but also consider metalogical decorations of another type (...)
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  9. added 2018-03-18
    Logical Geometries and Information in the Square of Oppositions.Hans Smessaert & Lorenz Demey - 2014 - Journal of Logic, Language and Information 23 (4):527-565.
    The Aristotelian square of oppositions is a well-known diagram in logic and linguistics. In recent years, several extensions of the square have been discovered. However, these extensions have failed to become as widely known as the square. In this paper we argue that there is indeed a fundamental difference between the square and its extensions, viz., a difference in informativity. To do this, we distinguish between concrete Aristotelian diagrams and, on a more abstract level, the Aristotelian geometry. We then introduce (...)
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  10. added 2018-03-18
    The Classical Aristotelian Hexagon Versus the Modern Duality Hexagon.Hans Smessaert - 2012 - Logica Universalis 6 (1-2):171-199.
    Peters and Westerståhl (Quantifiers in Language and Logic, 2006), and Westerståhl (New Perspectives on the Square of Opposition, 2011) draw a crucial distinction between the “classical” Aristotelian squares of opposition and the “modern” Duality squares of opposition. The classical square involves four opposition relations, whereas the modern one only involves three of them: the two horizontal connections are fundamentally distinct in the Aristotelian case (contrariety, CR vs. subcontrariety, SCR) but express the same Duality relation of internal negation (SNEG). Furthermore, the (...)
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  11. added 2018-03-18
    On the 3d Visualisation of Logical Relations.Hans Smessaert - 2009 - Logica Universalis 3 (2):303-332.
    The central aim of this paper is to present a Boolean algebraic approach to the classical Aristotelian Relations of Opposition, namely Contradiction and (Sub)contrariety, and to provide a 3D visualisation of those relations based on the geometrical properties of Platonic and Archimedean solids. In the first part we start from the standard Generalized Quantifier analysis of expressions for comparative quantification to build the Comparative Quantifier Algebra CQA. The underlying scalar structure allows us to define the Aristotelian relations in Boolean terms (...)
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  12. added 2018-02-21
    New Dimensions of the Square of Opposition.Jean-Yves Beziau & Stamatios Gerogiorgakis (eds.) - 2017 - Munich: Philosophia.
    The square of opposition is a diagram related to a theory of oppositions that goes back to Aristotle. Both the diagram and the theory have been discussed throughout the history of logic. Initially, the diagram was employed to present the Aristotelian theory of quantification, but extensions and criticisms of this theory have resulted in various other diagrams. The strength of the theory is that it is at the same time fairly simple and quite rich. The theory of oppositions has recently (...)
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  13. added 2018-02-05
    A Dialogue with I ! حوار مع أنا.Salah Osman - manuscript
    هل يمكن إذن أن أكون أنا لست أنا بانطباعات الزمان على جسدي وفكري؟ أليس لي جوهرٌ ثابتٌ تتبدل عليه الأعراض من حين إلى آخر، ومن ثم لا أفقد هويتي الحقيقية؟ لقد وُلدت منذ سنوات خلت، وتعلمت وعلمت أنني هو أنا، ويعلم المحيطون بي أنني هو أنا، بل يستطيع العلم المعاصر أن يُثبت أن لي تركيبًا جينيًا وراثيًا يميزني عن غيري، وأن لي بصمات أصابع وبصمة صوت لا تتطابق مع بصمات غيري، وسيحاسبني ربي يوم العرض عليه بوصفي شخصًا واحدًا هو أنا؛ (...)
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  14. added 2018-02-04
    Why Does Aristotle Defend the Principle of Non‐Contradiction Against its Contrary?Daniel Coren - 2018 - Philosophical Forum 49 (1):39-59.
    In his Metaphysics Γ.4, Aristotle defends the principle of non-contradiction (PNC). The PNC says that all contradictions are false. So if some contradictions are true, then PNC is false. Even if PNC’s contrary is false, PNC’s contradictory might still be true. But it’s been noted in the literature for over a century that Aristotle seems to be exclusively interested in attacking PNC’s contrary (‘All contradictions are true’) rather than PNC’s contradictory (‘Some contradictions are true’). So his defense of PNC seems (...)
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  15. added 2018-02-01
    Many-Valued Logic between the Degrees of Truth and the Limits of Knowledge.Salah Osman - 2002 - Alexandria, Egypt: Al Maaref Establishment Press.
    هو أول كتاب باللغة العربية يعرض لمراحل وآليات تطور المنطق الرمزي المعاصر متعدد القيم بأنساقه المختلفة، مركزًا على مشكلة الغموض المعرفي للإنسان بأبعادها اللغوية والإبستمولوجية والأنطولوجية، والتي تتجلى – على سبيل المثال – فيما تحفل به الدراسات الفلسفية والمنطقية والعلمية من مفارقات تمثل تحديًا قويًا لثنائية الصدق والكذب الكلاسيكية، وكذلك في اكتشاف «هيزنبرج» لمبدأ اللايقين، وتأكيده وعلماء الكمّ على ضرورة التفسيرات الإحصائية في المجال دون الذري، الأمر الذي يؤكد عدم فعالية قانون الثالث المرفوع في التعامل مع معطيات الواقع الفعلي، واستحالة (...)
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  16. added 2017-11-21
    The Threefold Object of the Scientific Knowledge. Pseudo-Scotus and the Literature on the Meteorologica in Fourteenth-Century Paris.Lucian Petrescu - 2014 - Franciscan Studies 72:465-502.
  17. added 2017-08-09
    The Square of Opposition: A Cornerstone of Thought.Jean-Yves Beziau & Gianfranco Basti (eds.) - 2017 - Basel, Switzerland: Birkhäuser.
    This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world. The papers range from historical considerations to new mathematical developments of the theory of opposition including applications to theology, theory of argumentation and metalogic.
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  18. added 2017-02-17
    Logic Gallery.David Marans - 2015 - http://tinyurl.com/345bdwp.
  19. added 2017-02-13
    Présuppositions linguistiques et enjeux philosophiques des paralogismes liés à la forme de l’expression dans les Réfutations sophistiques d’Aristote.Leone Gazziero - 2016 - In Béatrice Godart-Wendling & Layla Raïd (eds.), B. Godart-Wendling et L. Raïd (éd.), A la recherche de la présupposition, London, Iste Editions, 2016. London: Iste. pp. 33-52.
    Pour des raisons essentiellement liées à la vocation des textes où la notion de présupposition a fait son apparition, c’est la présupposition d’existence qui s’est imposée la première à l’attention des philosophes du langage. Elle a également déterminé l’orientation des débats en les focalisant sur quelques problèmes traditionnels, au premier chef desquels le problème de l’absence de référence de certaines expressions et celui des imperfections du langage naturel. Contrairement aux noms propres et aux descriptions définies, les termes qui signifient des (...)
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  20. added 2016-12-12
    Validity, the Squeezing Argument and Alternative Semantic Systems: The Case of Aristotelian Syllogistic. [REVIEW]Andrade-Lotero Edgar & Novaes Catarina Dutilh - 2012 - Journal of Philosophical Logic 41 (2):387 - 418.
    We investigate the philosophical significance of the existence of different semantic systems with respect to which a given deductive system is sound and complete. Our case study will be Corcoran's deductive system D for Aristotelian syllogistic and some of the different semantic systems for syllogistic that have been proposed in the literature. We shall prove that they are not equivalent, in spite of D being sound and complete with respect to each of them. Beyond the specific case of syllogistic, the (...)
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  21. added 2016-12-12
    Traditional Logic, Modern Logic and Natural Language.Wilfrid Hodges - 2009 - Journal of Philosophical Logic 38 (6):589-606.
    In a recent paper Johan van Benthem reviews earlier work done by himself and colleagues on ‘natural logic’. His paper makes a number of challenging comments on the relationships between traditional logic, modern logic and natural logic. I respond to his challenge, by drawing what I think are the most significant lines dividing traditional logic from modern. The leading difference is in the way logic is expected to be used for checking arguments. For traditionals the checking is local, i.e. separately (...)
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  22. added 2016-12-08
    Reassessing Logical Hylomorphism and the Demarcation of Logical Constants.Novaes Catarina Dutilh - 2012 - Synthese 185 (3):387 - 410.
    The paper investigates the propriety of applying the form versus matter distinction to arguments and to logic in general. Its main point is that many of the currently pervasive views on form and matter with respect to logic rest on several substantive and even contentious assumptions which are nevertheless uncritically accepted. Indeed, many of the issues raised by the application of this distinction to arguments seem to be related to a questionable combination of different presuppositions and expectations; this holds in (...)
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  23. added 2016-12-08
    Premise Order in Aristotle's Syllogistic.Lynn E. Rose - 1966 - Phronesis 11 (2):154-158.
  24. added 2016-12-05
    On the Interpretations of Aristotelian Categorical Propositions in the Predicate Calculus.Stanisław Jaśkowski - 1969 - Studia Logica 24 (1):161-172.
  25. added 2016-09-23
    Influencing the Others’ Minds: An Experimental Evaluation of the Use and Efficacy of Fallacious-Reducible Arguments in Web and Mobile Technologies.Antonio Lieto & Fabiana Vernero - 2014 - PsychNology Journa 12 (3):87-105.
    The research in Human Computer Interaction (HCI) has nowadays extended its attention to the study of persuasive technologies. Following this line of research, in this paper we focus on websites and mobile applications in the e-commerce domain. In particular, we take them as an evident example of persuasive technologies. Starting from the hypothesis that there is a strong connection between logical fallacies, i.e., forms of reasoning which are logically invalid but psychologically persuasive, and some common persuasion strategies adopted within these (...)
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  26. added 2016-04-09
    Causation and Intensionality in Aristotelian Logic.Srećko Kovač - 2013 - Studia Philosophiae Christianae 49 (2):117-136.
    We want to show that Aristotle’s general conception of syllogism includes as its essential part the logical concept of necessity, which can be understood in a causal way. This logical conception of causality is more general then the conception of the causality in the Aristotelian theory of proof (“demonstrative syllogism”), which contains the causal account of knowledge and science outside formal logic. Aristotle’s syllogistic is described in a purely intensional way, without recourse to a set-theoretical formal semantics. It is shown (...)
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  27. added 2016-04-08
    Causality and Attribution in an Aristotelian Theory.Srećko Kovač - 2015 - In Arnold Koslow & Arthur Buchsbaum (eds.), The Road to Universal Logic: Festschrift for 50th Birthday of Jean-Yves Béziauvol. 1, Cham, Heidelberg, etc.: Springer-Birkhäuser. Springer-Birkhäuser. pp. 327-340.
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  28. added 2016-04-07
    Analogical Deduction Via a Calculus of Predicables.Joseph P. Li Vecchi - 2014 - Logik, Naturphilosophie, Dialektik, Zur Modernen Deutung der Aristotelischen Logik, 10.
    The deductive validity of arguments from analogy is formally demonstrable. After a brief survey of the historical development of doctrines relevant to this claim the present article analyzes the “analogy of proper proportionality”, which meets two requirements of valid deduction. First, the referents of analogues by proportionality must belong to a common genus. Here it must be cautioned, however, that the common genus does not constitute the basis of the deductive inference. Rather, it is a prerequisite for the second and (...)
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  29. added 2016-02-28
    Contradictions. Logic, History, Actuality.Elena Ficara (ed.) - 2014 - De Gruyter.
    The papers in this volume present some of the most recent results of the work about contradictions in philosophical logic and metaphysics; examine the history of contradiction in crucial phases of philosophical thought; consider the relevance of contradictions for political and philosophical actuality. From this consideration a common question emerges: the question of the irreducibility, reality and productive force of (some) contradictions.
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  30. added 2016-02-16
    Aristotle's Earlier Logic (2nd Edition).John Woods - 2014 - College Publications.
  31. added 2015-12-03
    Ancient Logic and its Modern Interpretations Proceedings of the Buffalo Symposium on Modernist Interpretations of Ancient Logic, 21 and 22 April, 1972. [REVIEW]John Corcoran (ed.) - 1974 - Reidel.
    Articles by Ian Mueller, Ronald Zirin, Norman Kretzmann, John Corcoran, John Mulhern, Mary Mulhern,Josiah Gould, and others. Topics: Aristotle's Syllogistic, Stoic Logic, Modern Research in Ancient Logic.
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  32. added 2015-10-13
    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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  33. added 2015-09-25
    Prior on Aristotle’s Logical Squares.Zuzana Rybaříková - 2016 - Synthese 193 (11):3473-3482.
    This paper introduces Prior’s unpublished paper Aristotle on Logical Squares, which is deposited in the Bodleian Library and which discusses Greniewski’s definition of the \ operator, which Greniewski introduced in his paper Próba ‘odmłodzenia’ kwadratu logicznego. It is a unique attempt to formalize the square of opposition. Bendiek’s review, which is an important intermediary between Greniewski’s and Prior’s paper, is also mentioned here. Greniewski’s main motivation was to rejuvenate the traditional square of opposition in order to make a square of (...)
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  34. added 2015-07-24
    Squares of Oppositions, Commutative Diagrams, and Galois Connections for Topological Spaces and Similarity Structures.Thomas Mormann - manuscript
    The aim of this paper is to elucidate the relationship between Aristotelian conceptual oppositions, commutative diagrams of relational structures, and Galois connections.This is done by investigating in detail some examples of Aristotelian conceptual oppositions arising from topological spaces and similarity structures. The main technical device for this endeavor is the notion of Galois connections of order structures.
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  35. added 2015-06-29
    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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  36. added 2015-06-29
    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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  37. added 2015-05-29
    JUNE 2015 UPDATE: A BIBLIOGRAPHY: JOHN CORCORAN's PUBLICATIONS ON ARISTOTLE 1972–2015.John Corcoran - manuscript
    JUNE 2015 UPDATE: A BIBLIOGRAPHY: JOHN CORCORAN’S PUBLICATIONS ON ARISTOTLE 1972–2015 By John Corcoran -/- This presentation includes a complete bibliography of John Corcoran’s publications relevant to his research on Aristotle’s logic. Sections I, II, III, and IV list 21 articles, 44 abstracts, 3 books, and 11 reviews. It starts with two watershed articles published in 1972: the Philosophy & Phenomenological Research article from Corcoran’s Philadelphia period that antedates his Aristotle studies and the Journal of Symbolic Logic article from his (...)
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  38. added 2015-05-26
    Commentary On: Jesse Bohl's "What Are We to Do About Traditional Logic?".Gilbert Plumer - 2000 - In Christopher W. Tindale, Hans V. Hansen & Elmar Sveda (eds.), Argumentation at the Century's Turn [CD-ROM]. Ontario Society for the Study of Argumentation. pp. 1-4.
  39. added 2015-05-23
    George Boole.John Corcoran - 2006 - In Encyclopedia of Philosophy. 2nd edition. macmillan.
    2006. George Boole. Encyclopedia of Philosophy. 2nd edition. Detroit: Macmillan Reference USA. -/- George Boole (1815-1864), whose name lives among modern computer-related sciences in Boolean Algebra, Boolean Logic, Boolean Operations, and the like, is one of the most celebrated logicians of all time. Ironically, his actual writings often go unread and his actual contributions to logic are virtually unknown—despite the fact that he was one of the clearest writers in the field. Working with various students including Susan Wood and Sriram (...)
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  40. added 2015-05-23
    Three Rules of Distribution: One Counterexample.John Corcoran - 1987 - Journal of Symbolic Logic 52:886-887.
    This self-contained one page paper produces one valid two-premise premise-conclusion argument that is a counterexample to the entire three traditional rules of distribution. These three rules were previously thought to be generally applicable criteria for invalidity of premise-conclusion arguments. No longer can a three-term argument be dismissed as invalid simply on the ground that its middle is undistributed, for example. The following question seems never to have been raised: how does having an undistributed middle show that an argument's conclusion does (...)
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  41. added 2015-04-27
    Francis Bacon and the Laws of Ramus.Peter R. Anstey - 2015 - Hopos: The Journal of the International Society for the History of Philosophy of Science 5 (1):1-23.
    This article assesses the role of the laws of the French logician and educational reformer Petrus Ramus in the writings of Francis Bacon. The laws of Ramus derive from Aristotle’s grounds for necessary propositions. Necessary propositions, according to Aristotle, Ramus, and Bacon, are required for the premises of scientific syllogisms. It is argued that in Bacon’s Advancement of Learning and De augmentis scientiarum the only role for these laws is in the transmission of knowledge that has already been acquired. However, (...)
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  42. added 2015-03-31
    Meanings of Hypothesis.John Corcoran - 2014 - Bulletin of Symbolic Logic 20 (2):348-9.
    The primary sense of the word ‘hypothesis’ in modern colloquial English includes “proposition not yet settled” or “open question”. Its opposite is ‘fact’ in the sense of “proposition widely known to be true”. People are amazed that Plato [1, p. 1684] and Aristotle [Post. An. I.2 72a14–24, quoted below] used the Greek form of the word for indemonstrable first principles [sc. axioms] in general or for certain kinds of axioms. These two facts create the paradoxical situation that in many cases (...)
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  43. added 2015-03-24
    Counterarguments and Counterexamples.John Corcoran - 2010 - In Luis Vega (ed.), Luis Vega, Ed. Compendio de Lógica, Argumentación, y Retórica. Madrid: Trotta. pp. 137-142.
    English translation of an entry on pages 137–42 of the Spanish-language dictionary of logic: Luis Vega, Ed. Compendio de Lógica, Argumentación, y Retórica. Madrid: Trotta. -/- DEDICATION: To my friend and collaborator Kevin Tracy. -/- This short essay—containing careful definitions of ‘counterargument’ and ‘counterexample’—is not an easy read but it is one you’ll be glad you struggled through. It contains some carefully chosen examples suitable for classroom discussion. -/- Using the word ‘counterexample’ instead of ‘counterargument’ in connection with Aristotle’s invalidity (...)
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  44. added 2015-03-22
    Aristotelian Syllogisms: Valid Arguments or True Universalized Conditionals?John Corcoran - 1974 - Mind 83 (330):278-281.
    Corcoran, John. 1974. Aristotelian Syllogisms: Valid arguments or true generalized conditionals?, Mind 83, 278–81. MR0532928 (58 #27178) This tightly-written and self-contained four-page paper must be studied and not just skimmed. It meticulously analyses quotations from Aristotle and Lukasiewicz to establish that Aristotle was using indirect deductions—as required by the natural-deduction interpretation—and not indirect proofs—as required by the axiomatic interpretation. Lukasiewicz was explicit and clear about the subtle fact that Aristotle’s practice could not be construed as correctly performed indirect proof. Lukasiewicz (...)
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  45. added 2015-02-23
    From Argument to Assertion.Michael S. Kochin - 2009 - Argumentation 23 (3):387-396.
    Acceptance or rejection of factual assertions is a far more important process than logical validation of arguments. Not only are assertions more persuasive than arguments; this is desirable, since we want our beliefs and actions to be reasonable and not just rational. When do we resort to argument? Real speeches heavy on arguments aim to present the speaker as calm, serious, and knowledgeable. In public life, one argues not in order to demonstrate the claim for which one is arguing, but (...)
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  46. added 2015-02-08
    ARISTOTELIAN LOGIC AND EUCLIDEAN GEOMETRY.John Corcoran - 2014 - Bulletin of Symbolic Logic 20 (1):131-2.
    John Corcoran and George Boger. Aristotelian logic and Euclidean geometry. Bulletin of Symbolic Logic. 20 (2014) 131. -/- By an Aristotelian logic we mean any system of direct and indirect deductions, chains of reasoning linking conclusions to premises—complete syllogisms, to use Aristotle’s phrase—1) intended to show that their conclusions follow logically from their respective premises and 2) resembling those in Aristotle’s Prior Analytics. Such systems presuppose existence of cases where it is not obvious that the conclusion follows from the premises: (...)
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  47. added 2015-01-28
    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.
  48. added 2015-01-22
    The Development of Modus Ponens in Antiquity: From Aristotle to the 2nd Century AD.Susanne Bobzien - 2002 - Phronesis 47 (4):359-394.
    ABSTRACT: ‘Aristotelian logic’, as it was taught from late antiquity until the 20th century, commonly included a short presentation of the argument forms modus (ponendo) ponens, modus (tollendo) tollens, modus ponendo tollens, and modus tollendo ponens. In late antiquity, arguments of these forms were generally classified as ‘hypothetical syllogisms’. However, Aristotle did not discuss such arguments, nor did he call any arguments ‘hypothetical syllogisms’. The Stoic indemonstrables resemble the modus ponens/tollens arguments. But the Stoics never called them ‘hypothetical syllogisms’; nor (...)
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  49. added 2015-01-12
    Aristotle's Many-Sorted Logic.J. Corcoran - 2008 - Bulletin of Symbolic Logic 14 (1):155-156.
    As noted in 1962 by Timothy Smiley, if Aristotle’s logic is faithfully translated into modern symbolic logic, the fit is exact. If categorical sentences are translated into many-sorted logic MSL according to Smiley’s method or the two other methods presented here, an argument with arbitrarily many premises is valid according to Aristotle’s system if and only if its translation is valid according to modern standard many-sorted logic. As William Parry observed in 1973, this result can be proved using my 1972 (...)
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  50. added 2015-01-12
    Review: The Contemporary Relevance of Ancient Logical Theory. [REVIEW]John Corcoran & Michael Scanlan - 1982 - Philosophical Quarterly 32 (126):76 - 86.
    This interesting and imaginative monograph is based on the author’s PhD dissertation supervised by Saul Kripke. It is dedicated to Timothy Smiley, whose interpretation of PRIOR ANALYTICS informs its approach. As suggested by its title, this short work demonstrates conclusively that Aristotle’s syllogistic is a suitable vehicle for fruitful discussion of contemporary issues in logical theory. Aristotle’s syllogistic is represented by Corcoran’s 1972 reconstruction. The review studies Lear’s treatment of Aristotle’s logic, his appreciation of the Corcoran-Smiley paradigm, and his understanding (...)
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