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  1. Saʻīd Akbarī (2007). .
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  2. Quṭb al-Taḥtānī & Muḥammad ibn Muḥammad (2003). .
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  3. Robert Albin (2012). BEYOND MODES OF OBJECTIVITY. Logos and Episteme (3):361-371.
    ABSTRACT: Frege, and others who followed him, stressed the role of fallibility as a means to defining ‘objectivity.’ By defining objective judgments as fallible, these philosophers contributed to the consolidation of a theory of objectivity which suggested interpreting epistemological, as well as other judgements, as being objective. An important philosophical implication of this theory lies in its disclosure of the interrelations between truth and objectivity. In light of this insight, and based on an analysis of instances of false (epistemological and (...)
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  4. W. Bednarowski (1955). Hamilton's Quantification of the Predicate. Proceedings of the Aristotelian Society 56:217 - 240.
    This paper consists roughly of three parts. In the first part, an attempt has been made to find some tenable interpretation of Hamilton's logic. This results in accepting that Hamilton's logic can be "saved" if it is understood as being an everday language version of Euler's relations, i.e., extensional relations between terms (classes). In the second part, the propositions of Euler and the propositions of Aristotle are compared and found to be interdefinable: every proposition of Aristotle can be defined by (...)
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  5. Susanne Bobzien (2006). Ancient Logic. In Stanford Encyclopedia of Philosophy.
    ABSTRACT: A comprehensive introduction to ancient (western) logic from earliest times to the 6th century CE, with an emphasis on topics which may be of interest to contemporary logicians. Content: 1. Pre-Aristotelian Logic 1.1 Syntax and Semantics 1.2 Argument Patterns and Valid Inference 2. Aristotle 2.1 Dialectics 2.2 Sub-sentential Classifications 2.3 Syntax and Semantics of Sentences 2.4 Non-modal Syllogistic 2.5 Modal Logic 3. The early Peripatetics: Theophrastus and Eudemus 3.1 Improvements and Modifications of Aristotle's Logic 3.2 Prosleptic Syllogisms 3.3 Forerunners (...)
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  6. Susanne Bobzien (2003). Stoic Logic. In Brad Inwood (ed.), The Cambridge Companion to Stoic Philosophy. Cambridge University Press.
    ABSTRACT: An introduction to Stoic logic. Stoic logic can in many respects be regarded as a fore-runner of modern propositional logic. I discuss: 1. the Stoic notion of sayables or meanings (lekta); the Stoic assertibles (axiomata) and their similarities and differences to modern propositions; the time-dependency of their truth; 2.-3. assertibles with demonstratives and quantified assertibles and their truth-conditions; truth-functionality of negations and conjunctions; non-truth-functionality of disjunctions and conditionals; language regimentation and ‘bracketing’ devices; Stoic basic principles of propositional logic; 4. (...)
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  7. Jean Buridan (2005). Summulae de Propositionibus. Brepols.
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  8. John Corcoran (2011). Hare and Others on the Proposition. Principia 15 (1):51-76.
    A História atesta diferentes abordagens da “proposição”. A proposição tem sido considerada como objeto de crença, descrença e de dúvida: geralmente como objeto de atitudes proposicionais , aquilo do qual pode se dizer ser acreditado, desacreditado, entendido, etc. Também tem sido tomada como sendo o objeto de apreensão, julgamento, suposição, afirmação, denegação, e de investigação: geralmente como o objeto das ações proposicionais , aquilo que pode ser dito ser apreendido, ser julgado verdadeiro ou falso, ser assumido para fins de raciocínio, (...)
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  9. Daniele Cozzoli (2007). Alessandro Piccolomini and the Certitude of Mathematics. History and Philosophy of Logic 28 (2):151-171.
    This paper offers a reconstruction of Alessandro Piccolomini's philosophy of mathematics, and reconstructs the role of Themistius and Averroes in the Renaissance debate on Aristotle's theory of proof. It also describes the interpretative context within which Piccolomini was working in order to show that he was not an isolated figure, but rather that he was fully involved in the debate on mathematics and physics of Italian Aristotelians of his time. The ideas of Lodovico Boccadiferro and Sperone Speroni will be analysed. (...)
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  10. Vincent Ferrer (2011). Tratado de Las Suposiciones de Los Términos (1371/72). Eunsa.
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  11. Emiliano Ippoliti, Carlo Cellucci & Emily Grosholz (eds.) (2011). Logic and Knowlegde. Cambridge Scholar Publishing.
    Logic and Knowledge -/- Editor: Carlo Cellucci, Emily Grosholz and Emiliano Ippoliti Date Of Publication: Aug 2011 Isbn13: 978-1-4438-3008-9 Isbn: 1-4438-3008-9 -/- The problematic relation between logic and knowledge has given rise to some of the most important works in the history of philosophy, from Books VI–VII of Plato’s Republic and Aristotle’s Prior and Posterior Analytics, to Kant’s Critique of Pure Reason and Mill’s A System of Logic, Ratiocinative and Inductive. It provides the title of an important collection of papers (...)
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  12. Raina Kirchhoff (2008). Die Syncategoremata des Wilhem von Sherwood: Kommentierung Und Historische Einordnung. Brill.
    Modern linguistics usually differentiates between content or syncategorematic words and function or categorematic words.
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  13. Gareth B. Matthews (1997). Two Theories of Supposition? Topoi 16 (1):35-40.
    In a recent paper Paul Vincent Spade suggests that, although the medieval doctrine of the modes of personal supposition originally had something to do with the rest of the theory of supposition, it became, by the 14th century, an unrelated theory with no question to answer. By contrast, I argue that the theory of the modes of personal supposition was meant to provide a way of making understandable the idea that a general term in a categorical proposition can be used (...)
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  14. Andrea Nye (1990). Words of Power: A Feminist Reading of the History of Logic. Routledge.
    Is logic masculine? Is women's lack of interest in the "hard core" philosophical disciplines of formal logic and semantics symptomatic of an inadequacy linked to sex? Is the failure of women to excel in pure mathematics and mathematical science a function of their inability to think rationally? Andrea Nye undermines the assumptions that inform these questions, assumptions such as: logic is unitary, logic is independenet of concrete human relations, and logic transcends historical circumstances as well as gender. In a series (...)
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  15. Girolamo Saccheri (2011). Logica Dimostrativa. Bompiani.
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  16. Ibn Ṭumlūs & Yūsuf ibn Muḥammad (2006). .
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  17. Jan von Plato (2011). Kurt Gödel: Essays for His Centennial. History and Philosophy of Logic 32 (4):402 - 404.
    History and Philosophy of Logic, Volume 32, Issue 4, Page 402-404, November 2011.
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History of Logic, Misc
  1. Andrew Aberdein (2008). Logic for Dogs. In Steven D. Hales (ed.), What Philosophy Can Tell You About Your Dog. Open Court. 167-181.
    Imagine a dog tracing a scent to a crossroads, sniffing all but one of the exits, and then proceeding down the last without further examination. According to Sextus Empiricus, Chrysippus argued that the dog effectively employs disjunctive syllogism, concluding that since the quarry left no trace on the other paths, it must have taken the last. The story has been retold many times, with at least four different morals: (1) dogs use logic, so they are as clever as humans; (2) (...)
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  2. Michael Abraham, Dov M. Gabbay, Gabriel Hazut, Yosef E. Maruvka & Uri Schild (2011). Logical Analysis of the Talmudic Rules of General and Specific (Klalim-U-Pratim). History and Philosophy of Logic 32 (1):47-62.
    This article deals with a set-theoretic interpretation of the Talmudic rules of General and Specific, known as Klal and Prat (KP), Prat and Klal (PK), Klal and Prat and Klal (KPK) and Prat and Klal and Prat (PKP).
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  3. V. M. Abrusci, Ettore Casari & Massimo Mugnai (eds.) (1983). Atti Del Convegno Internazionale Di Storia Della Logica: San Gimignano, 4-8 Dicembre 1982. Clueb.
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  4. Irving H. Anellis (1992). Theology Against Logic: The Origins of Logic in Old Russia. History and Philosophy of Logic 13 (1):15-42.
    We consider the history of logic in pre-Petrine. Petrine. and immediate post-Pctrine Russia (from the 15th to the mid-18th centuries) and especially of the Petrine era from the late 17th to early 18th century. Throughout much of this time, the clergy evinced strong hostility towards logic. Nevertheless, a small number of academics and clerics such as Stefan Iavorskii and Fcofan Prokopovich kept Aristotelian logic alive during this period and provided the foundation for its development in the modern era.
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  5. Irving H. Anellis (1987). Mathematical Logic in the Soviet Union, 1917–1980. History and Philosophy of Logic 8 (1):71-76.
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  6. Ignacio Angelelli (1970). The Techniques of Disputation in the History of Logic. Journal of Philosophy 67 (20):800-815.
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  7. Ignacio Angelelli & María Cerezo (eds.) (1996). Studies on the History of Logic: Proceedings of the Iii. Symposium on the History of Logic. Walter De Gruyter.
  8. Ignazio Angelelli (1979). Die Logik der Neuzeit, by Wilhelm Risse. [REVIEW] International Logic Review 19:136-140.
  9. Stephen C. Angle (2012). The Discovery of Chinese Logic. [REVIEW] History and Philosophy of Logic 33 (3):293-296.
    History and Philosophy of Logic, Volume 33, Issue 3, Page 293-296, August 2012.
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  10. G. Aldo Antonelli (2004). Logic. In Luciano Floridi (ed.), The Blackwell Guide to the Philosophy of Computing and Information. Blackwell.
    Logic is an ancient discipline that, ever since its inception some 2500 years ago, has been concerned with the analysis of patterns of valid reasoning. Aristotle first developed the theory of the syllogism (a valid argument form involving predicates and quantifiers), and later the Stoics singled out patterns of propositional argumentation (involving sentential connectives). The study of logic flourished in ancient times and during the middle ages, when logic was regarded, together with grammar and rhetoric (the other two disciplines of (...)
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  11. Antoine Arnauld (1996). Logic, or, the Art of Thinking: Containing, Besides Common Rules, Several New Observations Appropriate for Forming Judgment. Cambridge University Press.
    Antoine Arnauld and Pierre Nicole were philosophers and theologians associated with Port-Royal Abbey, a centre of the Catholic Jansenist movement in seventeenth-century France. Their enormously influential Logic or the Art of Thinking, which went through five editions in their lifetimes, treats topics in logic, language, theory of knowledge and metaphysics, and also articulates the response of 'heretical' Jansenist Catholicism to orthodox Catholic and Protestant views on grace, free will and the sacraments. In attempting to combine the categorical theory (...)
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  12. Jamin Asay (2012). Review of Truth, Reference and Realism. [REVIEW] International Studies in the Philosophy of Science 26 (3):345-348.
    International Studies in the Philosophy of Science, Volume 26, Issue 3, Page 345-348, September 2012.
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  13. E. J. Ashworth (1974). Language and Logic in the Post-Medieval Period. Reidel.
    HISTORICAL INTRODUCTION Although many of the details of the development of logic in the Middle Ages remain to be filled in, it is well known that between ...
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  14. E. M. Barth (1982). From Axiom to Dialogue: A Philosophical Study of Logics and Argumentation. W. De Gruyter.
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  15. Valentin Bazhanov (2001). Restoration: S. A. Yanovskaya's Path in Logic. History and Philosophy of Logic 22 (3):129-133.
    This article presents the story of S. A. Yanovskaya's epiphany?particularly, her shift from hard-line communist orthodoxy and hostility towards ?bourgeois minded? Soviet-Russian mathematicians to vigorous support of mathematical logic. In light of this evidence, S. A. Yanovskaya (1896?1966) may be considered as a spiritual leader and administrative founder of modern mathematical research and education in the USSR/Russia.
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  16. Arianna Betti & Willem R. de Jong (2010). Introduction. Synthese 174 (2):181-183.
  17. Arianna Betti, Willem R. de Jong & Marije Martijn (2011). The Axiomatic Method, the Order of Concepts and the Hierarchy of Sciences: An Introduction. Synthese 183 (1):1-5.
  18. Susanne Bobzien (2006). Logic, History Of: Ancient Logic. In Donald M. Borchert (ed.), Encyclopedia of Philosophy. Thomson Gale.
    ABSTRACT: A comprehensive introduction to ancient (western) logic from earliest times to the 6th century CE, with a focus on issues that may be of interest to contemporary logicians and covering important topics in Post-Aristotelian logic that are frequently neglected (such as Peripatetic hypothetical syllogistic, the Stoic axiomatic system of propositional logic and various later ancient developments).
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  19. Susanne Bobzien (2006). Ancient Logic. Stanford Encyclopedia of Philosophy.
    ABSTRACT: A comprehensive introduction to ancient (western) logic from earliest times to the 6th century CE, with an emphasis on topics which may be of interest to contemporary logicians.
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  20. Józef M. Bocheński (1970). A History of Formal Logic. New York,Chelsea Pub. Co..
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  21. Józef M. Bocheński (1961). A History of Formal Logic. Notre Dame, Ind.,University of Notre Dame Press.
  22. Ivan Boh (1977). The ``Conditionatim''-Clause: One of the Problems of Existential Import in the History of Logic. Notre Dame Journal of Formal Logic 18 (3):459-466.
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  23. Tom Burke (1994). Dewey's New Logic: A Reply to Russell. University of Chicago Press.
    John Dewey is celebrated for his work in the philosophy of education and acknowledged as a leading proponent of American pragmatism. His philosophy of logic, on the other hand, is largely unheard of. In Dewey's New Logic, Burke analyzes portions of the debate between Dewey and Bertrand Russell that followed the 1938 publication of Dewey's Logic: The Theory of Inquiry. Burke shows how Russell failed to understand Dewey, and how Dewey's philosophy of logic is centrally relevant to contemporary developments in (...)
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  24. Hector-Neri Castañeda (1990). Leibniz's Complete Propositional Logic. Topoi 9 (1):15-28.
    I have shown (to my satisfaction) that Leibniz's final attempt at a generalized syllogistico-propositional calculus in the Generales Inquisitiones was pretty successful. The calculus includes the truth-table semantics for the propositional calculus. It contains an unorthodox view of conjunction. It offers a plethora of very important logical principles. These deserve to be called a set of fundamentals of logical form. Aside from some imprecisions and redundancies the system is a good systematization of propositional logic, its semantics, and a correct account (...)
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  25. Dalla Chiara & Maria Luisa (eds.) (1983). Logic in the 20th Century: A Series of Papers on the Present State and Tendencies of Studies. Scienta.
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  26. Thony Christie (1990). Nature as a Source in the History of Logic, 1870–1910. History and Philosophy of Logic 11 (1):1-3.
    By using examples drawn from the periodical Nature, I show that research into the history of logic in the nineteenth century involves journals and periodicals which are normally not considered as standard sources for logic or its history.
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  27. John Corcoran (2007). 2007. Notes on the Founding of Logics and Metalogic: Aristotle, Boole, and Tarski. Eds. C. Martínez Et Al. Current Topics in Logic and Analytic Philosophy / Temas Actuales de Lógica y Filosofía Analítica. Imprenta Univeridade Santiago de Compostela. In C. Martínez (ed.), Current Topics in Logic and Analytic Philosophy /. 145-178.
  28. John Corcoran (2006). Schemata: The Concept of Schema in the History of Logic. Bulletin of Symbolic Logic 12 (2):219-240.
    The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s Induction-Axiom (...)
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  29. John Corcoran (1994). The Founding of Logic. Ancient Philosophy 14 (1):9-24.
  30. John Corcoran (1980). Categoricity. History and Philosophy of Logic 1 (1):187-207.
    After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those (...)
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  31. John Corcoran (1973). Meanings of Implication. Dialogos 9 (1):59-76.
    Thirteen meanings of 'implication' are described and compared. Among them are relations that have been called: logical implication, material implication,deductive implication, formal implication, enthymemic implication, and factual implication. In a given context, implication is the homogeneous two-place relation expressed by the relation verb 'implies'. For heuristic and expository reasons this article skirts many crucial issues including use-mention, the nature of the entities that imply and are implied, and the processes by which knowledge of these relations are achieved. This paper is (...)
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  32. John Corcoran & José Miguel Sagüillo (2011). The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper. History and Philosophy of Logic 32 (4):359 - 374.
    This paper discusses the history of the confusion and controversies over whether the definition of consequence presented in the 11-page 1936 Tarski consequence-definition paper is based on a monistic fixed-universe framework?like Begriffsschrift and Principia Mathematica. Monistic fixed-universe frameworks, common in pre-WWII logic, keep the range of the individual variables fixed as the class of all individuals. The contrary alternative is that the definition is predicated on a pluralistic multiple-universe framework?like the 1931 Gödel incompleteness paper. A pluralistic multiple-universe framework recognizes multiple (...)
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  33. George Couvalis (2004). Is Induction Epistemologically Prior to Deduction? Ratio 17 (1):28–44.
    Most philosophers hold that the use of our deductive powers confers an especially strong warrant on some of our mathematical and logical beliefs. By contrast, many of the same philosophers hold that it is a matter of serious debate whether any inductive inferences are cogent. That is, they hold that we might well have no warrant for inductively licensed beliefs, such as generalizations. I argue that we cannot know that we know logical and mathemati- cal truths unless we use induction. (...)
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