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  1. Formen der Argumentation bei den vorsokratischen Philosophen..Adolf Baumann - 1906 - Würzburg,: C.J. Beckers Buchdr..
    This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...)
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  2. Von der Analogie zum Syllogismus.Erhard-Wolfram Platzeck - 1954 - Paderborn,: F. Schöningh.
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  3. O Elenchus no Teeteto.Gabriel Zaccaro - 2023 - Revista de Estudos Filosóficos e Históricos da Antiguidade 40:01-26.
    O elenchus é o método pelo qual Sócrates evidencia as incoerências entre a tese de seu interlocutor e seu sistema de crenças. Na visão de Gregory Vlastos, o método utilizado por Sócrates no Teeteto não é elêntico porque ele não visa a refutação direta da tese inicial de Teeteto. Argumentando contra a visão de Vlastos defendo que Sócrates constrói ao final da primeira parte do diálogo objeções fundamentadas em premissas aceitas por Teeteto que culminam no objetivo clássico do elenchus. Além (...)
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  4. Studi di logica antica e medioevale.Lorenzo Pozzi - 1974 - Padova: Liviana.
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  5. Razvitie logicheskikh ideĭ ot antichnosti do ėpokhi Vozrozhdenii︠a︡.P. S. Popov - 1974 - Moskva: Izd-vo Mosk. un-ta. Edited by N. I. Sti︠a︡zhkin.
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  6. L'Alba della logica: il pensiero logico greco: testi e interpretazioni.Piero Simondo (ed.) - 1976 - Torino: Società editrice internazionale.
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  7. Greek Foundations of Traditional Logic.Ernst Kapp - 1942 - New York,: Columbia University Press.
  8. La logica antica.Vincenza Celluprica - 1978 - Torino: Loescher.
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  9. A görög logika keleten.Miklós Maróth - 1980 - Budapest: Akadémiai Kiadó.
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  10. Aristoteléstől Avicennáig.Miklós Maróth - 1983 - Budapest: Akadémiai Kiadó.
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  11. Self-reference and type distinctions in Greek philosophy and mathematics.Ioannis M. Vandoulakis - 2023 - In Jens Lemanski & Ingolf Max (eds.), Historia Logicae and its Modern Interpretation. College Publications. pp. 3-36.
    In this paper, we examine a fundamental problem that appears in Greek philosophy: the paradoxes of self-reference of the type of “Third Man” that appears first in Plato’s 'Parmenides', and is further discussed in Aristotle and the Peripatetic commentators and Proclus. We show that the various versions are analysed using different language, reflecting different understandings by Plato and the Platonists, such as Proclus, on the one hand, and the Peripatetics (Aristotle, Alexander, Eudemus), on the other hand. We show that the (...)
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  12. Valid Arguments as True Conditionals.Andrea Iacona - 2023 - Mind 132 (526):428-451.
    This paper explores an idea of Stoic descent that is largely neglected nowadays, the idea that an argument is valid when the conditional formed by the conjunction of its premises as antecedent and its conclusion as consequent is true. As it will be argued, once some basic features of our naıve understanding of validity are properly spelled out, and a suitable account of conditionals is adopted, the equivalence between valid arguments and true conditionals makes perfect sense. The account of validity (...)
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  13. Posterior Analytics and the Endoxic Method in Aristotle’s Nicomachean Ethics VII.Xinkai Hu - 2022 - Eirene. Studia Graeca Et Latina 58:147-171.
    This paper revisits Aristotle’s discussion of akrasia in NE VII. 1–10. I try to offer a scientific reading of the book, according to which NE VII. 1–10 closely instantiates the main guidelines of Aristotle’s Posterior Analytics. I propose that NE VII. 1–2, which aims to establish the fact that akrasia exists, corresponds to the ὅτι-stage of an Aristotelian scientific inquiry, and NE VII. 3–10, which aims to explain both the cause and the object of akrasia, corresponds to the διότι-stage of (...)
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  14. Logique et dialectique dans l'antiquité.Jean-Baptiste Gourinat & Juliette Lemaire (eds.) - 2016 - Paris: Vrin.
    Ces études issues d'un colloque organisé en décembre 2009 analysent l'histoire des différentes conceptions de la logique et de la dialectique ainsi que leurs relations, depuis Socrate et Platon jusqu'au néoplatonisme, en passant par Aristote, les stoïciens et les cyniques. ©Electre 2017.
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  15. Logica ed etica nel pensiero antico.Guido Calogero - 2021 - Milano: Mimesis. Edited by Aldo Brancacci.
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  16. Lógica modal megárico-estoica: posibilidad y necesidad como operadores atléticos.José Alejandro Fernández Cuesta - 2021 - Human Review. International Humanities Review / Revista Internacional de Humanidades 10:261-270.
    En este artículo presentamos una posible vía para interpretar las nociones de posibilidad y necesidad desarrolladas en el seno de la lógica megárico-estoica como operadores modales aléticos. Se introducirá la semántica megárico-estoica como trasfondo metafísico de las definiciones de necesidad y posibilidad y se ofrecerán argumentos para abandonar las interpretaciones predominantes que incluyen variables temporales ad hoc. Tras proponer la lectura de las definiciones diodóricas desde una semántica modal relacional se señalará una serie de temas que merecen ser revisitados desde (...)
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  17. Some Pioneering Formal Reconstructions of Diodorus' Master Argument.Vladimir Marko - 1999 - Logica Et Methodologica 5:67-111.
    The article deals with some current pioneering formal reconstructions and interpretations of the problem well known in antiquity as The Master Argument. This problem is concerning with enrichment of formal logical systems with modal and temporal notions. The opening topic is devoted to reconstruction of Arthur Prior. while the other here included approach to the problem arc mostly reactions. revisions or additions to this one.
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  18. An Abductive Question-Answer System for the Minimal Logic of Formal Inconsistency $$\mathsf {mbC}$$ mbC.Szymon Chlebowski, Andrzej Gajda & Mariusz Urbański - 2021 - Studia Logica 110 (2):479-509.
    The aim in this paper is to define an Abductive Question-Answer System for the minimal logic of formal inconsistency \. As a proof-theoretical basis we employ the Socratic proofs method. The system produces abductive hypotheses; these are answers to abductive questions concerning derivability of formulas from sets of formulas. We integrated the generation of and the evaluation of hypotheses via constraints of consistency and significance being imposed on the system rules.
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  19. Dialectic after Plato and Aristotle: Thomas Bénatouïl and Katerina Ierodiakonou, editors. Foreword by T. Bénatouïl. Cambridge: Cambridge University Press, 2019. 385 pp. ISBN 9781108471909.O. Yu Goncharko - 2021 - History and Philosophy of Logic 43 (1):96-101.
    The general content of the book is dedicated to the dialectical practices and their logical tools and techniques developed after Plato and Aristotle within the philosophical schools of the Hellenis...
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  20. The Cambridge Companion to Ancient Logic.Luca Castagnoli & Paolo Fait (eds.) - 2022 - New York, NY, USA: Cambridge University Press.
    This Companion provides a comprehensive guide to ancient logic. The first part charts its chronological development, focussing especially on the Greek tradition, and discusses its two main systems: Aristotle's logic of terms and the Stoic logic of propositions. The second part explores the key concepts at the heart of the ancient logical systems: truth, definition, terms, propositions, syllogisms, demonstrations, modality and fallacy. The systematic discussion of these concepts allows the reader to engage with some specific logical and exegetical issues and (...)
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  21. Saving the Square of Opposition.Pieter A. M. Seuren - 2021 - History and Philosophy of Logic 42 (1):72-96.
    Contrary to received opinion, the Aristotelian Square of Opposition (square) is logically sound, differing from standard modern predicate logic (SMPL) only in that it restricts the universe U of cognitively constructible situations by banning null predicates, making it less unnatural than SMPL. U-restriction strengthens the logic without making it unsound. It also invites a cognitive approach to logic. Humans are endowed with a cognitive predicate logic (CPL), which checks the process of cognitive modelling (world construal) for consistency. The square is (...)
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  22. Euclid’s Kinds and (Their) Attributes.Benjamin Wilck - 2020 - History of Philosophy & Logical Analysis 23 (2):362-397.
    Relying upon a very close reading of all of the definitions given in Euclid’s Elements, I argue that this mathematical treatise contains a philosophical treatment of mathematical objects. Specifically, I show that Euclid draws elaborate metaphysical distinctions between substances and non-substantial attributes of substances, different kinds of substance, and different kinds of non-substance. While the general metaphysical theory adopted in the Elements resembles that of Aristotle in many respects, Euclid does not employ Aristotle’s terminology, or indeed, any philosophical terminology at (...)
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  23. Stoic logic and multiple generality.Susanne Bobzien & Simon Shogry - 2020 - Philosophers' Imprint 20 (31):1-36.
    We argue that the extant evidence for Stoic logic provides all the elements required for a variable-free theory of multiple generality, including a number of remarkably modern features that straddle logic and semantics, such as the understanding of one- and two-place predicates as functions, the canonical formulation of universals as quantified conditionals, a straightforward relation between elements of propositional and first-order logic, and the roles of anaphora and rigid order in the regimented sentences that express multiply general propositions. We consider (...)
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  24. Robert König/Lois Marie Rendl (Hgg.), Schlusslogische Letztbegründung: Festschrift für Kurt Walter Zeidler zum 65. Geburtstag, Berlin u. a.: Peter Lang 2020. [REVIEW]Harald Holz - 2020 - Philosophisches Jahrbuch 127 (2):360-363.
    Diese Festschrift umfasst 22 nationale und internationale Beiträge zu Ehren des Jubilars, darunter von solch renommierten Autoren wie Werner Flach, Christian Krijnen, Ulrich Blau, Erhard Oeser, Hans-Dieter Klein, um nur diese zu nennen. – Sie enthält ferner eine Stellungnahme von K. W. Zeidler, wo dieser im Dialog mit den Beiträgern jeweilige kritische Punkte seiner Schlusslogischen Letztbegründung klar zu stellen sich bemüht. – Ein Siglen- und Abkürzungsverzeichnis sowie eine Bibliographie des Jubilars runden die Ausgabe ab. Kurt Walter Zeidler darf als einer (...)
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  25. On Cicero’s Fabius Argument.Vladimír Marko - 2020 - Filozofia 75 (8):677 – 692.
    This article aims to show that it is impossible to put Cicero’s testimonies regarding The Fabius Argument in a consistent inferential order. Either we must suppose that additional premises are tacitly assumed in the text or we must com-pare it with other sources, which leads to inconsistencies in the proof’s reconstruction. Cicero’s reconstruction of the progression of the argument has formal shortcomings, and the paper draws attention to some of these deficiencies. He interpreted sources in a revised and intentionally simplified (...)
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  26. Can the Pyrrhonian Sceptic Suspend Belief Regarding Scientific Definitions?Benjamin Wilck - 2020 - History of Philosophy & Logical Analysis 23 (1):253-288.
    In this article, I tackle a heretofore unnoticed difficulty with the application of Pyrrhonian scepticism to science. Sceptics can suspend belief regarding a dogmatic proposition only by setting up opposing arguments for and against that proposition. Since Sextus provides arguments exclusively against particular geometrical definitions in Adversus Mathematicos III, commentators have argued that Sextus’ method is not scepticism, but negative dogmatism. However, commentators have overlooked the fact that arguments in favour of particular geometrical definitions were absent in ancient geometry, and (...)
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  27. Demonstration and the Indemonstrability of the Stoic Indemonstrables.Susanne Bobzien - 2020 - Phronesis 65 (3):355-378.
    Since Mates’ seminal Stoic Logic there has been uncertainty and debate about how to treat the term anapodeiktos when used of Stoic syllogisms. This paper argues that the customary translation of anapodeiktos by ‘indemonstrable’ is accurate, and it explains why this is so. At the heart of the explanation is an argument that, contrary to what is commonly assumed, indemonstrability is rooted in the generic account of the Stoic epistemic notion of demonstration. Some minor insights into Stoic logic ensue.
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  28. Two Interpretations of Two Stoic Conditionals.Alan Hájek - 2009 - History of Philosophy & Logical Analysis 12 (1):206-221.
    Controversy has surrounded the interpretation of the so-called 'Diodorean' and 'Chrysippean' conditionals of the Stoics. I critically evaluate and reject two interpretations of each of them: as expressing natural laws, and as strict conditionals. In doing so I engage with the work of authors such as Frede, Gould, Hurst, the Kneales, Mates, and Prior. I conclude by offering my own proposal for where these Stoic conditionals should be located on a 'ladder' of logical strength.
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  29. The Peripatetic Program in Categorical Logic: Leibniz on Propositional Terms.Marko Malink & Anubav Vasudevan - 2019 - Review of Symbolic Logic 13 (1):141-205.
    Greek antiquity saw the development of two distinct systems of logic: Aristotle’s theory of the categorical syllogism and the Stoic theory of the hypothetical syllogism. Some ancient logicians argued that hypothetical syllogistic is more fundamental than categorical syllogistic on the grounds that the latter relies on modes of propositional reasoning such asreductio ad absurdum. Peripatetic logicians, by contrast, sought to establish the priority of categorical over hypothetical syllogistic by reducing various modes of propositional reasoning to categorical form. In the 17th (...)
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  30. Sextus Empiricus' Fourth Conditional and Containment Logic.Yale Weiss - 2019 - History and Philosophy of Logic 40 (4):307-322.
    In his Outlines of Pyrrhonism 2.110–113, Sextus Empiricus presents four different accounts of the conditional, presumably all from the Hellenistic period, in increasing logical strength. While the interpretation and provenance of the first three accounts is relatively secure, the fourth account has perplexed and frustrated interpreters for decades or longer. Most interpreters have ultimately taken a dismissive attitude towards the fourth account and discounted it as being of both little historical and logical interest. We argue that this attitude is unwarranted (...)
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  31. Greek and Roman Logic.Robby Finley, Justin Vlasits & Katja Maria Vogt - 2019 - Oxford Bibliographies in Classics.
    In ancient philosophy, there is no discipline called “logic” in the contemporary sense of “the study of formally valid arguments.” Rather, once a subfield of philosophy comes to be called “logic,” namely in Hellenistic philosophy, the field includes (among other things) epistemology, normative epistemology, philosophy of language, the theory of truth, and what we call logic today. This entry aims to examine ancient theorizing that makes contact with the contemporary conception. Thus, we will here emphasize the theories of the “syllogism” (...)
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  32. Stoic Sequent Logic and Proof Theory.Susanne Bobzien - 2019 - History and Philosophy of Logic 40 (3):234-265.
    This paper contends that Stoic logic (i.e. Stoic analysis) deserves more attention from contemporary logicians. It sets out how, compared with contemporary propositional calculi, Stoic analysis is closest to methods of backward proof search for Gentzen-inspired substructural sequent logics, as they have been developed in logic programming and structural proof theory, and produces its proof search calculus in tree form. It shows how multiple similarities to Gentzen sequent systems combine with intriguing dissimilarities that may enrich contemporary discussion. Much of Stoic (...)
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  33. Lynn E. Rose. Aristotle's syllogistic. Charles C. Thomas, Publisher, Springfield, Illinois, 1968, vii + 149 pp. [REVIEW]Ivan Boh - 1971 - Journal of Symbolic Logic 36 (4):670-671.
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  34. Handbook of the history of logic, edited by Dov M. Gabbay and John Woods, Volume 1: Greek, Indian and Arabic logic. Elsevier, Amsterdam, 2004, viii + 618 pp. [REVIEW]Klaus Glashoff - 2004 - Bulletin of Symbolic Logic 10 (4):579-583.
  35. Alexander of Aphrodisias: On Aristotle's Prior Analytics 1.1-7.Jonathan Barnes, Susanne Bobzien & Katerina Ierodiakonou - 1991 - London: Duckworth.
    ABSTRACT: English translation of the 2nd/3rd century Peripatetic Philosopher's Alexander of Aphrodisias commentary on Aristotle's non-modal syllogistic, i.e. on one of the most influential logical texts of all times. -/- Volume includes introduction on Alexander of Aphrodisias and the early commentators, translation with notes and comments, appendices with a new translation of Aristotle's text, a summary of Aristotle's non-modal syllogistic and textual notes.
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  36. Avicenna on the Law of Non-contradiction.Behnam Zolghadr - 2019 - History and Philosophy of Logic 40 (2):105-115.
    Aristotle gave seven arguments for the law of non-contradiction. The first one is against a special case of dialetheism, the view that only some contradictions are true, and other six arguments are...
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  37. Analyticity, Balance and Non-admissibility of Cut in Stoic Logic.Susanne Bobzien & Roy Dyckhoff - 2019 - Studia Logica 107 (2):375-397.
    This paper shows that, for the Hertz–Gentzen Systems of 1933, extended by a classical rule T1 and using certain axioms, all derivations are analytic: every cut formula occurs as a subformula in the cut’s conclusion. Since the Stoic cut rules are instances of Gentzen’s Cut rule of 1933, from this we infer the decidability of the propositional logic of the Stoics. We infer the correctness for this logic of a “relevance criterion” and of two “balance criteria”, and hence that a (...)
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  38. Paraenesis and argument in Arrian’s Dissertations of Epictetus.Jula Wildberger - 2013 - In Michael Erler (ed.), Argument und literarische Form in antiker Philosophie. Berlin; New York: De Gruyter. pp. 411-434.
    Close reading of the argumentative and logical structure of Diatribe 1.4 and the means of protreptic persuasion used in it. The paper argues that Arrian represents Epictetus as using deliberately bad arguments to showcase and exemplify the audience's muddled thinking.
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  39. „Kauza Afthonios“: Ilustrácia k otázke správneho riešenia antických paradoxov.Vladimir Marko - 2014 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 1 (20):88-103.
    The article deals with the question of correct reconstruction of and solutions to the ancient paradoxes. Analyzing one contemporary example of a reconstruction of the so-called Crocodile Paradox, taken from Sorensen’s A Brief History of Paradox, the author shows how the original pattern of paradox could have been incorrectly transformed in its meaning by overlooking its adequate historical background. Sorensen’s quoting of Aphthonius, as the author of a certain solution to the paradox, seems to be a systematic failure since the (...)
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  40. Štyri antické argumenty o budúcich nahodnostiach (Four Ancient Arguments on Future Contingencies).Vladimir Marko - 2017 - Bratislava, Slovakia: Univerzita Komenského.
    Essays on Aristotle's Sea-Battle, Lazy Argument, Argument Reaper, Diodorus' Master Argument -/- The book is devoted to the ancient logical theories, reconstruction of their semantic proprieties and possibilities of their interpretation by modern logical tools. The Ancient arguments are frequently misunderstood in modern interpretations since authors usually have tendency to ignore their historical proprieties and theoretical background what usually leads to a quite inappropriate picture of the argument’s original form and mission. Author’s primary intention was to draw attention to the (...)
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  41. Untersuchungen zur ‘Topik’ des Aristoteles mit besonderer Berücksichtigung der Regeln, Verfahren und Ratschläge zur Bildung von Definitionen. [REVIEW] McKirahan - 1993 - Ancient Philosophy 13 (1):187-188.
  42. Dialectic and Its Place in the Development of Medieval Logic. [REVIEW]Sheldon M. Cohen - 1992 - Ancient Philosophy 12 (1):199-201.
  43. Aristotle's Syllogistic from the Standpoint of Modern Formal Logic by Jan Łukasiewicz. [REVIEW]William Kneale - 1952 - Philosophy 27 (102):279-282.
  44. Logic, Science and Dialectic: Collected Papers in Greek Philosophy.G. E. L. Owen & Martha Nussbaum - 1987 - Phronesis 32 (2):242-252.
  45. Language, Thought and Falsehood in Ancient Greek Philosophy.Nicholas Denyer - 1991 - Phronesis 36 (3):319-327.
  46. The Logistic Interpretation of Aristotle’s Categorical Syllogistic.Charles F. Breslin - 1968 - Proceedings of the American Catholic Philosophical Association 42:99-109.
  47. Sophroniscus’ son is approaching: Porphyry, Isagoge 7.20–1.Francesco Ademollo - 2004 - Classical Quarterly 54 (1):322-325.
  48. Studien zur Grundlegung der Logik und der logischen Interpretationsmittel, mit besonderer Berücksichtigung von Texten griechischer Denker. [REVIEW]Jonathan Barnes - 1977 - The Classical Review 27 (1):123-124.
  49. Aristotle's Syllogistic from the Standpoint of Modern Formal Logic. [REVIEW]Richard Robinson - 1953 - The Classical Review 3 (2):118-119.
  50. Introduzione alia logica stoica. [REVIEW]Jonathan Barnes - 1986 - The Classical Review 36 (1):143-144.
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