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  1. added 2019-01-06
    De Re and De Dicto Modality in Islamic Traditional Logic.Zia Movahed - 2010 - Sophia Perennis 2:5-14.
  2. added 2018-10-19
    The Totality of Predicates and the Possibility of the Most Real Being.Srećko Kovač - 2018 - Journal of Applied Logics - The IfCoLog Journal of Logics and Their Applications 5 (7):1523-1552.
    We claim that Kant's doctrine of the "transcendental ideal of pure reason" contains, in an anticipatory sense, a second-order theory of reality (as a second-order property) and of the highest being. Such a theory, as reconstructed in this paper, is a transformation of Kant's metatheoretical regulative and heuristic presuppositions of empirical theories into a hypothetical ontotheology. We show that this metaphysical theory, in distinction to Descartes' and Leibniz's ontotheology, in many aspects resembles Gödel's theoretical conception of the possibility of a (...)
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  3. added 2018-09-19
    The Principle of Equivalence as a Criterion of Identity.Ryan Samaroo - forthcoming - Synthese:1-25.
    In 1907 Einstein had the insight that bodies in free fall do not “feel” their own weight. This has been formalized in what is called “the principle of equivalence.” The principle motivated a critical analysis of the Newtonian and special-relativistic concepts of inertia, and it was indispensable to Einstein’s development of his theory of gravitation. A great deal has been written about the principle. Nearly all of this work has focused on the content of the principle and whether it has (...)
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  4. added 2018-09-17
    Formality of Logic and Frege’s Begriffsschrift.Daniele Mezzadri - forthcoming - Canadian Journal of Philosophy:1-26.
    This paper challenges a standard interpretation according to which Frege’s conception of logic (early and late) is at odds with the contemporary one, because on the latter’s view logic is formal, while on Frege’s view it is not, given that logic’s subject matter is reality’s most general features. I argue that Frege – in Begriffsschrift – retained the idea that logic is formal; Frege sees logic as providing the ‘logical cement’ that ties up together the contentful concepts of specific sciences, (...)
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  5. 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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  6. added 2018-05-30
    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.
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  7. added 2018-03-20
    Excerpt From the Doctrine of Reason by Georg Friedrich Meier.Lawrence Pasternack & Pablo Muchnik (eds.) - 2016 - Bloomsbury Academic.
    The aim of Kant’s Sources in Translation is to retrieve the rich intellectual world that influenced Kant’s philosophical development. In its first stage, the series makes available the most important textbooks Kant used throughout his long teaching career. Many of these textbooks are in Latin or in German and remain inaccessible to Anglophone readers. Lacking this material, however, it is difficult to appreciate Kant’s originality and process of philosophical maturation, for readers are unable to understand what prompted Kant to introduce (...)
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  8. added 2018-03-05
    Husserl's Logical Grammar.Ansten Klev - 2018 - History and Philosophy of Logic 39 (3):232-269.
    Lecture notes from Husserl's logic lectures published during the last 20 years offer a much better insight into his doctrine of the forms of meaning than does the fourth Logical Investigation or any other work published during Husserl's lifetime. This paper provides a detailed reconstruction, based on all the sources now available, of Husserl's system of logical grammar. After having explained the notion of meaning that Husserl assumes in his later logic lectures as well as the notion of form of (...)
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  9. added 2018-02-16
    Variable Binding Term Operators.John Corcoran, William Hatcher & John Herring - 1972 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (12):177-182.
    Chapin reviewed this 1972 ZEITSCHRIFT paper that proves the completeness theorem for the logic of variable-binding-term operators created by Corcoran and his student John Herring in the 1971 LOGIQUE ET ANALYSE paper in which the theorem was conjectured. This leveraging proof extends completeness of ordinary first-order logic to the extension with vbtos. Newton da Costa independently proved the same theorem about the same time using a Henkin-type proof. This 1972 paper builds on the 1971 “Notes on a Semantic Analysis of (...)
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  10. added 2018-01-31
    Frege on Dichtung and Elucidation.Gisela Bengtsson - 2018 - In Gisela Bengtsson, Simo Säätelä & Alois Pichler (eds.), New Essays on Frege: Between Science and Literature. Dordrecht: Springer. pp. 101-119.
    In this paper, I identify an assumption at play in anti-semantic interpretative approaches to Frege: the notion that translatability to Frege’s concept script functions as a criterion for deciding whether a thought is expressed in a sentence or utterance. I question the viability of this assumption by pointing to Frege’s accounts of the aim and character of his logical language and scientific discourse more generally, and by looking at his remarks on poetic forms of language, literature and fiction (Dichtung). Since (...)
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  11. added 2018-01-18
    Introdução ao Sistema Beta dos Grafos Existenciais de C.S. Peirce.Lafayette de Moraes & João Queiroz - 2004 - Cognitio 5 (1):28-43.
    Os grafos existenciais (GE) são uma notação lógica de caráter topológico e estão entre as mais originais invenções de C.S. Peirce (1839-1914). Trata-se de um sistema gráfico de diagramas lógicos por meio do qual, segundo Peirce, “qualquer desenvolvimento do pensamento pode ser representado com precisão” (CP 4.530). Eles se dividem em três subsistemas – alfa, beta e gama –, aproximadamente equivalentes ao cálculo proposicional clássico, ao cálculo de predicados clássico de primeira ordem, e a um tipo de lógica modal. Nosso (...)
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  12. added 2018-01-11
    The Sign of Consequence.Francesco Bellucci - 2016 - The Commens Encyclopedia: The Digital Encyclopedia of Peirce Studies.
    The “sign of consequence” is a notation for propositional logic that Peirce invented in 1886 and used at least until 1894. It substituted the “copula of inclusion” which he had been using since 1870.
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  13. added 2018-01-11
    Introduction: Diagrammatical Reasoning and Peircean Logic Representations.João Queiroz & Frederik Stjernfelt - 2011 - Semiotica 2011 (186):1-4.
  14. added 2017-12-12
    The Logical Structure of Socrates’ Expert-Analogies.Petter Sandstad - 2017 - In Alessandro Stavru & Christopher Moore (eds.), Socrates and the Socratic Dialogue. Leiden: Brill. pp. 319-335.
    Socrates’ expert-analogies is frequent both in Plato’s dialogues and in the Socratic writings of Xenophon, and is also ascribed to Socrates by Aristotle and Aeschines. Socrates makes an analogy from a non-controversial expert (or an expertise) like the cobbler or ship-captain, to another (often controversial) expert (or expertise) like the statesman. This paper defends an interpretation of the expert-analogy as valid deductions. It infers from one type of expert (such as the ship-captain) to another type of expert (such as the (...)
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  15. added 2017-09-21
    Vreme, objasnjenje, modalnost (Time, Explanation, Modality).Vladimir Marko - 2004 - Novi Sad, Serbia: Futura.
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  16. added 2017-08-09
    Perspectives on Universal Logic.Jean-Yves Béziau & Alexandre Costa-Leite (eds.) - 2007 - Milan, Italy: Polimetrica.
    Universal logic is to logic what universal algebra is to algebra. It is not a specific system of logic that would apply to everything but a general theory of all existing and possible logics. This new field has been slowly emerging through the new directions of research in logic of the past decades and the name was coined 15 years ago. In the Spring of 2005 was organized in Montreux, Switzerland, the First World Congress on Universal Logic. This exciting event (...)
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  17. added 2017-03-05
    Future Determination of Entities in Talmudic Public Announcement Logic.M. Abraham, I. Belfer, D. M. Gabbay & U. Schild - 2013 - Journal of Applied Logic 11 (1):63-90.
  18. added 2017-02-17
    Logic Gallery.David Marans - 2015 - http://tinyurl.com/345bdwp.
  19. added 2017-02-07
    Sentido, significado y el principio de contexto en Frege.Kurt Wischin - 2012 - Disputatio. Philosophical Research Bulletin 1 (2):94--104.
    [ES] El principio de contexto que Frege establece en Fundamentos de la Aritmética no reaparece en sus escritos posteriores, hecho que podría sugerir que a consecuencia de la sustitución de la noción de contenido juzgable por las de sentido y significado Frege lo rechazara después de 1890. Dummett arguye en 1995 que el principio de contexto continúa formando una parte central de la filosofía de lenguaje de Frege, pero que las teorías establecidas a partir del tomo I de Leyes fundamentales (...)
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  20. added 2017-01-18
    From the History of Chinese Logic.Henryk Greniewski & Olgierd Wojtasiewicz - 1956 - Studia Logica 4 (1):241 - 243.
  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 2016-01-11
    Review Of: Garciadiego, A., "Emergence Of...Paradoxes...Set Theory", Historia Mathematica (1985), in Mathematical Reviews 87j:01035.John Corcoran - 1987 - MATHEMATICAL REVIEWS 87 (J):01035.
    DEFINING OUR TERMS A “paradox" is an argumentation that appears to deduce a conclusion believed to be false from premises believed to be true. An “inconsistency proof for a theory" is an argumentation that actually deduces a negation of a theorem of the theory from premises that are all theorems of the theory. An “indirect proof of the negation of a hypothesis" is an argumentation that actually deduces a conclusion known to be false from the hypothesis alone or, more commonly, (...)
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  23. added 2015-09-14
    Cronaca, preistoria e storia della logica.Dino Buzzetti - 1976 - Rivista di Filosofia 6:484-496.
    An evaluation of the historiography of logic is attempted.
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  24. added 2015-09-04
    Frege on the Normativity and Constitutivity of Logic for Thought I.Daniele Mezzadri - 2015 - Philosophy Compass 10 (9):583-591.
    This two-part paper reviews a scholarly debate on an alleged tension in Frege ’s philosophy of logic. In Section 1 of Part I, I discuss Frege ’s view that logic is concerned with establishing norms for correct thinking and is therefore a normative science. In Section 2, I explore a different understanding of the role of logic that Frege seems to advance: logic is constitutive of the very possibility of thought, because it sets forth necessary conditions for thought. Hence, the (...)
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  25. added 2015-08-10
    Bernard Bolzano-Apologist or Heretic?J. Louzil - 1998 - Filosoficky Casopis 46 (6):895-914.
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  26. added 2015-06-14
    The Concept of Logical Consequence.Michael Detlefsen - 1993 - Philosophical Books 34 (1):1-10.
  27. 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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  28. 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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  29. added 2015-04-27
    Lydia Patton, Anti-Psychologism About Necessity: Friedrich Albert Lange on Objective Inference. History and Philosophy of Logic, Vol. 32. [REVIEW]Matthias Wille - 2011 - Bulletin of Symbolic Logic 17 (4):537-538.
  30. added 2015-04-24
    Non-Euclidean Geometry and Relative Consistency Proofs.Alan Hausman - 1976 - In Peter K. Machamer & Robert G. Turnbull (eds.), Motion and Time, Space and Matter. Ohio State University Press.
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  31. added 2015-04-07
    "Bolzano's" Theory of Science Proper".K. Berka - 1998 - Filosoficky Casopis 46 (6):931-947.
  32. added 2015-04-07
    Is Russell's Antinomy Derivable in Bolzano's Logic? In Bolzano-Studien.J. Berg - 1987 - Philosophia Naturalis 24 (4):406-413.
  33. added 2015-03-26
    Mill's System of Logic.David Godden - 2014 - In W. J. Mander (ed.), Oxford handbook of British philosophy in the nineteenth century. Oxford University Press. pp. 44-70.
    This chapter situates Mill’s System of Logic (1843/1872) in the context of some of the meta-logical themes and disputes characteristic of the 19th century as well as Mill’s empiricism. Particularly, by placing the Logic in relation to Whately’s (1827) Elements of Logic and Mill’s response to the “great paradox” of the informativeness of syllogistic reasoning, the chapter explores the development of Mill’s views on the foundation, function, and the relation between ratiocination and induction. It provides a survey of the Mill-Whewell (...)
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  34. added 2015-03-14
    REVIEW OF 1988. Saccheri, G. Euclides Vindicatus (1733), Edited and Translated by G. B. Halsted, 2nd Ed. (1986), in Mathematical Reviews MR0862448. 88j:01013.John Corcoran - 1988 - MATHEMATICAL REVIEWS 88 (J):88j:01013.
    Girolamo Saccheri (1667--1733) was an Italian Jesuit priest, scholastic philosopher, and mathematician. He earned a permanent place in the history of mathematics by discovering and rigorously deducing an elaborate chain of consequences of an axiom-set for what is now known as hyperbolic (or Lobachevskian) plane geometry. Reviewer's remarks: (1) On two pages of this book Saccheri refers to his previous and equally original book Logica demonstrativa (Turin, 1697) to which 14 of the 16 pages of the editor's "Introduction" are devoted. (...)
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  35. added 2015-02-16
    Robert Leslie Ellis's Work on Philosophy of Science and the Foundations of Probability Theory.Lukas M. Verburgt - 2013 - Historia Mathematica 40 (4):423-454.
    The goal of this paper is to provide an extensive account of Robert Leslie Ellisʼs largely forgotten work on philosophy of science and probability theory. On the one hand, it is suggested that both his ‘idealist’ renovation of the Baconian theory of induction and a ‘realism’ vis-à-vis natural kinds were the result of a complex dialogue with the work of William Whewell. On the other hand, it is shown to what extent the combining of these two positions contributed to Ellisʼs (...)
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  36. 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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  37. added 2014-12-15
    Wholistic Reference, Truth-Values, Universes of Discourse, and Formal Ontology: Tréplica to Oswaldo Chateaubriand.John Corcoran - 2005 - Manuscrito 28 (1):143-167.
    ABSTRACT: In its strongest unqualified form, the principle of wholistic reference is that in any given discourse, each proposition refers to the whole universe of that discourse, regardless of how limited the referents of its non-logical or content terms. According to this principle every proposition of number theory, even an equation such as "5 + 7 = 12", refers not only to the individual numbers that it happens to mention but to the whole universe of numbers. This principle, its history, (...)
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  38. added 2014-12-14
    Boole's Criteria for Validity and Invalidity.John Corcoran & Susan Wood - 1980 - Notre Dame Journal of Formal Logic 21 (4):609-638.
    It is one thing for a given proposition to follow or to not follow from a given set of propositions and it is quite another thing for it to be shown either that the given proposition follows or that it does not follow.* Using a formal deduction to show that a conclusion follows and using a countermodel to show that a conclusion does not follow are both traditional practices recognized by Aristotle and used down through the history of logic. These (...)
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  39. added 2014-12-07
    Aristotle's Demonstrative Logic.John Corcoran - 2009 - History and Philosophy of Logic 30 (1):1-20.
    Demonstrative logic, the study of demonstration as opposed to persuasion, is the subject of Aristotle's two-volume Analytics. Many examples are geometrical. Demonstration produces knowledge (of the truth of propositions). Persuasion merely produces opinion. Aristotle presented a general truth-and-consequence conception of demonstration meant to apply to all demonstrations. According to him, a demonstration, which normally proves a conclusion not previously known to be true, is an extended argumentation beginning with premises known to be truths and containing a chain of reasoning showing (...)
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  40. added 2014-12-06
    Review of Striker Translation of Aristotle's PRIOR ANALYTICS. [REVIEW]John Corcoran - 2010 - Notre Dame Philosophical Reviews:1-13.
    This review places this translation and commentary on Book A of Prior Analytics in historical, logical, and philosophical perspective. In particular, it details the author’s positions on current controversies. The author of this translation and commentary is a prolific and respected scholar, a leading figure in a large and still rapidly growing area of scholarship: Prior Analytics studies PAS. PAS treats many aspects of Aristotle’s Prior Analytics: historical context, previous writings that influenced it, preservation and transmission of its manuscripts, editions (...)
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  41. added 2014-11-20
    The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper.John Corcoran & José Miguel Sagüillo - 2011 - 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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  42. added 2014-11-05
    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.John Corcoran - 2007 - In C. Martínez (ed.), Current Topics in Logic and Analytic Philosophy /. pp. 145-178.
  43. added 2014-10-29
    Meanings of Implication.John Corcoran - 1973 - Diálogos. Revista de Filosofía de la Universidad de Puerto Rico 9 (24):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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  44. added 2014-08-06
    Is Induction Epistemologically Prior to Deduction?George Couvalis - 2004 - 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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  45. added 2014-07-22
    Tolerance and Analyticty in Carnap’s Philosophy of Mathematics.Micael Friedman - 2001 - In Juliet Floyd & Sanford Shieh (eds.), Future Pasts: The Analytic Tradition in Twentieth-Century Philosophy. Oxford Univeristy Press. pp. 223-255.
  46. added 2014-06-24
    Galen and the Syllogism. Par Nicholas Rescher. University of Pittsburgh Press, 1966. Pp. 93. $5.00. [REVIEW]Camille Limoges - 1969 - Dialogue 7 (4):667-668.
  47. added 2014-06-18
    Die Logik der Neuzeit, by Wilhelm Risse. [REVIEW]Ignazio Angelelli - 1979 - International Logic Review 19:136-140.
  48. added 2014-04-30
    Deduction and Novelty Again.Danny Frederick - 2014 - The Reasoner 8 (5):51-52.
    It is commonly claimed that the conclusion of a valid deductive argument is contained in its premises and says nothing new. In 'Deduction and Novelty,' in The Reasoner 5 (4), pp. 56-57, I refuted that claim. In The Reasoner, 8 (3), pp. 24-25, David McBride criticised my refutation. I show that McBride’s arguments are unsound.
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  49. added 2014-04-03
    The Founding of Logic.John Corcoran - 1994 - Ancient Philosophy 14 (Special Issue):9-24.
    Since the time of Aristotle's students, interpreters have considered Prior Analytics to be a treatise about deductive reasoning, more generally, about methods of determining the validity and invalidity of premise-conclusion arguments. People studied Prior Analytics in order to learn more about deductive reasoning and to improve their own reasoning skills. These interpreters understood Aristotle to be focusing on two epistemic processes: first, the process of establishing knowledge that a conclusion follows necessarily from a set of premises (that is, on the (...)
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  50. added 2014-03-30
    On How Logic Became First-Order.Matti Eklund - 1996 - Nordic Journal of Philosophical Logic 1 (2):147-67.
    Added by a category editor--not an official abstract. -/- Discusses the history (and reasons for the history) implicit in the title, as well as the author's view on same.
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1 — 50 / 136