Results for 'Aristotelian logic'

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  1.  12
    Advances in Contemporary Logic and Computer Science Proceedings of the Eleventh Brazilian Conference on Mathematical Logic, May 6-10, 1996, Salvador, Bahia, Brazil. [REVIEW]Walter A. Carnielli, Itala M. L. D'ottaviano & Brazilian Conference on Mathematical Logic - 1999
    This volume presents the proceedings from the Eleventh Brazilian Logic Conference on Mathematical Logic held by the Brazilian Logic Society (co-sponsored by the Centre for Logic, Epistemology and the History of Science, State University of Campinas, Sao Paulo) in Salvador, Bahia, Brazil. The conference and the volume are dedicated to the memory of professor Mario Tourasse Teixeira, an educator and researcher who contributed to the formation of several generations of Brazilian logicians. Contributions were made from leading (...)
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  2. 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 (...)
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  3.  5
    The Structure of Aristotelian Logic.James Wilkinson Miller - 1938 - London: K. Paul, Trench, Trubner & Co..
    Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional (...)
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  4.  82
    Methods and Methodologies: Aristotelian Logic East and West, 500-1500.Margaret Cameron & John Marenbon (eds.) - 2011 - Brill.
    This book examines the medieval tradition of Aristotelian logic from two perspectives.
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  5. The Structure of Aristotelian Logic.James Wilkinson Miller - 1938 - Routledge.
    Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the _A, E, I _and_ O_ forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional (...)
     
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  6.  6
    Canonical Syllogistic Moods in Traditional Aristotelian Logic.Enrique Alvarez-Fontecilla - 2016 - Logica Universalis 10 (4):517-531.
    A novel theoretical formulation of Categorical Logic based on two properties of categorical propositions and three simple axioms has been introduced recently. This formulation allowed for the suppression of the distinction between immediate and mediate inferences, and also provided a theoretical framework to study opposition relations, thus restoring the theoretical unity of traditional Aristotelian logic. By using this approach, it has been reported that a total of 3072 conclusive syllogistic moods can be found when including indefinite terms (...)
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  7.  38
    Aristotelian Logic, Axioms, and Abstraction.Roy T. Cook - 2003 - Philosophia Mathematica 11 (2):195-202.
    Stewart Shapiro and Alan Weir have argued that a crucial part of the demonstration of Frege's Theorem (specifically, that Hume's Principle implies that there are infinitely many objects) fails if the Neo-logicist cannot assume the existence of the empty property, i.e., is restricted to so-called Aristotelian Logic. Nevertheless, even in the context of Aristotelian Logic, Hume's Principle implies much of the content of Peano Arithmetic. In addition, their results do not constitute an objection to Neo-logicism so (...)
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  8.  29
    Existential Assumptions for Aristotelian Logic.Phillip H. Wiebe - 1991 - Journal of Philosophical Research 16:321-328.
    This paper addresses the question of what existential assumptions are needed for the Aristotelian interpretation of the relationships between the four categorical propositions. The particular relationships in question are those unique to the Aristotelian logic, namely, contrariety, subcontrariety, subaltemation, conversion by limitation, and contraposition by limitation. The views of several recent authors of logic textbooks are surveyed. While most construe the Aristotelian logic as capable of being preserved by assuming that the subject class has (...)
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  9.  1
    Existential Assumptions for Aristotelian Logic.Phillip H. Wiebe - 1991 - Journal of Philosophical Research 16:321-328.
    This paper addresses the question of what existential assumptions are needed for the Aristotelian interpretation of the relationships between the four categorical propositions. The particular relationships in question are those unique to the Aristotelian logic, namely, contrariety, subcontrariety, subaltemation, conversion by limitation, and contraposition by limitation. The views of several recent authors of logic textbooks are surveyed. While most construe the Aristotelian logic as capable of being preserved by assuming that the subject class has (...)
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  10.  9
    The Inconsistency of Aristotelian Logic?L. Goddard - 2000 - Australasian Journal of Philosophy 78 (4):434 – 437.
    I want to pull together some well-known facts which, when taken together, provide us with a plausible, and I think persuasive, argument that Aristotle's logic is inconsistent. We cannot, of course, hope to show that it is formally inconsistent since he does not present us with a fully worked-out formal system. On the other hand, we do have Lukasiewicz's formal version of Aristotelian logic which he proves consistent. (edited).
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  11. Can Aristotelian Logic Be Translated Into Chinese: Could There Be a Chinese "Harry Stottlemeier"?Jinmei Yuan - 2000 - Dissertation, University of Hawai'i
    This dissertation is a comparative study of Aristotelian and Chinese logic. I briefly overview the reports of difficulties in understanding that derives from cultural differences. I claim that these difficulties not only result from the fact that concepts in each language fail to match properly, but also from the fact that the logical spaces themselves are structured differently. Aristotelian logic is based on the structure of a classificatory system---a hierarchical structure of names for kinds of things (...)
     
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  12.  12
    On Wiebe's “Existential Assumptions for Aristotelian Logic”.D. F. Siemens - 1993 - Journal of Philosophical Research 18:271-275.
    This comment calls attention to the nature of the Aristotelian and classical logics, and the difficulty of representing their judgments and inferences by means of Venn diagrams. The meaning of ‘all’ in the different calculi produces problems. A second problem is that the specification of existence in Venn diagrams for statements and arguments cannot be restricted to a single class, overlooked by Wiebe. This problem is further complicated by his adoption of classical (Renaissance) syllogistic, which is inconsistent. Aristotle’s term (...)
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  13. 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 (...)
     
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  14.  10
    Aristotelian Logic and the Arabic Language in Alfarabi.Shukri B. Abed - 1991 - State University of New York Press.
    The first part of the book examines language as a tool of logic, and deals with Alfarabi's analysis of the meanings of various terms as they are used in logic and philosophy.
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  15.  1
    Analytical Syllogistics. A Pragmatic Interpretation of the Aristotelian Logic.Delton Thomas Howard - 1947 - Journal of Symbolic Logic 12 (2):51-52.
  16.  18
    Themes in Neoplatonic and Aristotelian Logic: Order, Negotiation, and Abstraction.John N. Martin - 2004 - Ashgate.
    This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine.
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  17.  48
    An Intensional Leibniz Semantics for Aristotelian Logic.Klaus Glashoff - 2010 - Review of Symbolic Logic 3 (2):262-272.
    Since Freges terms were meant to refer always to sets, that is, entities composed of individuals. Classical philosophy up to Leibniz and Kant had a different view on this questionBegriffes syntaxhighercorresponding to the idea which Leibniz used in the construction of his characteristic numbers. Thus, this paper is an addendum to Corcorans theory via predicate logic.
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  18. Juxtaposing 2 Contradictory Views of Freud: The Apotheosis of Logic ; the Undermining of the Epistemological Validity of Logic: Freud Rejects Aristotelian Logic as the Criteria to Assess the 'Truths' of Psychoanalysis and Thus Becomes a Precursor to Quantum Mechanics and Mathematics Like Wise Abandonment of Aristotelian Logis as an Epistemic Condition of 'Truth' in Certain Situations.Colin Leslie Dean - 2005 - Gamahucher Press.
     
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  19. Practical Logic or Hints to Theme-Writers: To Which Are Now Added Some Prefatory Remarks on Aristotelian Logic, with Particular Reference to a Late Work of Dr. Whatley's.B. H. Smart, Richard Whately & Treacher &. Co Whittaker - 1829 - Whittaker, Treacher, & Co.
     
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  20. Themes in Neoplatonic and Aristotelian Logic.John N. Martin - 2005 - Ars Disputandi 5.
     
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  21.  22
    Universal Logic and Aristotelian Logic: Formality and Essence of Logic.Julie Brumberg-Chaumont - 2015 - Logica Universalis 9 (2):253-278.
    The rediscovery of Aristotle’s works on syllogisms in the Latin world, especially the Sophistici Elenchi and then the Prior Analytics, gave rise to sophisticated views on the nature of syllogistic form and syllogistic matter in the thirteenth century. It led to debates on the ontology of the syllogism as studied in the Prior Analytics, i.e. the syllogism made of letters and the four logical constants a/e/i/o, with deep consequences on the definition of logic as a universal method for all (...)
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  22. Aristotelian Logic and the Arabic Language in Alfarabi.Shukri B. Abed - 1990 - State University of New York Press.
    This book explores the reaction of tenth-century Arab philosopher Abu Nasr Alfarabi to the logical works of Aristotle. From numerous short treatises the author develops a systematic and comprehensive topical survey of Alfara bi's logical writings. The book is divided into two major parts: language as a tool of logic and logic as a tool with which to analyze language. The first five chapters deal with Alfarabi's analysis of the meanings of various terms as they are used in (...)
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  23.  13
    Parry and Hacker`s Aristotelian Logic.George Englebretsen - 1992 - Informal Logic 14 (1).
  24.  6
    Erratum To: Universal Logic and Aristotelian Logic: Formality and Essence of Logic.Julie Brumberg-Chaumont - 2015 - Logica Universalis 9 (2):279-279.
    The rediscovery of Aristotle’s works on syllogisms in the Latin world, especially the Sophistici Elenchi and then the Prior Analytics, gave rise to sophisticated views on the nature of syllogistic form and syllogistic matter in the thirteenth century. It led to debates on the ontology of the syllogism as studied in the Prior Analytics, i.e. the syllogism made of letters and the four logical constants a/e/i/o, with deep consequences on the definition of logic as a universal method for all (...)
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  25.  5
    Non-Aristotelian Logic and the Crisis in Science.Oliver L. Reiser - 1937 - Journal of Symbolic Logic 2 (2):88-89.
  26.  18
    A Purely Topological Form of Non-Aristotelian Logic.Carl G. Hempel - 1937 - Journal of Symbolic Logic 2 (3):97-112.
  27.  2
    Reiser Oliver L.. Non-Aristotelian Logic and the Crisis in Science. “Scientia,” Vol. 61 , Pp. 137–150.La Logique Non-Aristotélicienne El la Crise de la Science. French Translation by Jankélévitch S.. “Scientia,” Vol. 61 , Supplément, Pp. 57–69. [REVIEW]Susanne K. Langer - 1937 - Journal of Symbolic Logic 2 (2):88-89.
  28.  5
    Review: Oliver L. Reiser, Non-Aristotelian Logic and the Crisis in Science. [REVIEW]Susanne K. Langer - 1937 - Journal of Symbolic Logic 2 (2):88-89.
  29.  3
    Review: Carl G. Hempel, A Purely Topological Form of Non-Aristotelian Logic[REVIEW]Paul Bernays - 1938 - Journal of Symbolic Logic 3 (2):91-92.
  30.  2
    Review: Delton Thomas Howard, Analytical Syllogistics. A Pragmatic Interpretation of the Aristotelian Logic[REVIEW]Virgil Hinshaw - 1947 - Journal of Symbolic Logic 12 (2):51-52.
  31.  1
    Hempel Carl G.. A Purely Topological Form of Non-Aristotelian Logic.Paul Bernays - 1938 - Journal of Symbolic Logic 3 (2):91-92.
  32.  2
    A Note on Some Misunderstandings of Aristotelian Logic.E. Roxon - 1955 - Australasian Journal of Philosophy 33 (2):107 – 111.
    The author discusses what he deems an oversight in prior's article on lukasiewicz's book "aristotle's syllogistic". He thinks prior missed lukasiewicz's exposure of the "symbolic logicians' fairy tale" which is the attempt to fit aristotle's logic into the boolean and russellian systems by "the lopping and stretching of inconvenient limbs." he concludes that lukasiewicz has "broken the ice that had begun to form" on traditional logic and that logic did not begin in the nineteenth century. (staff).
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  33.  1
    Review: E. Roxon, A Note on Some Misunderstandings of Aristotelian Logic[REVIEW]P. T. Geach - 1957 - Journal of Symbolic Logic 22 (1):94-94.
  34.  1
    Number System for the Immediate Inferences and the Syllogism in Aristotelian Logic.Edward A. Hacker - 1967 - Notre Dame Journal of Formal Logic 8 (4):318-320.
  35. Review: Takeo Sugihara, Particular and Indefinite Propositions in Aristotelian Logic[REVIEW]I. M. Bochenski - 1955 - Journal of Symbolic Logic 20 (2):172-172.
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  36. Review: Antoni Korcik, Leibniz's Method of Interpreting Aristotelian Logic[REVIEW]Tadeusz Czezowski - 1959 - Journal of Symbolic Logic 24 (3):215-215.
  37. Roxon E.. A Note on Some Misunderstandings of Aristotelian Logic. Australasian Journal of Philosophy, Vol. 33 , Pp. 107–111. [REVIEW]P. T. Geach - 1957 - Journal of Symbolic Logic 22 (1):94.
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  38. The Philosophical Foundations of the Aristotelian Logic and the Origin of the Syllogism.Marian W. Heitzman - 1956 - Journal of Symbolic Logic 21 (4):389-389.
  39. A Purely Topological Form of Non-Aristotelian Logic.G. Hempel Carl - 1938 - Journal of Symbolic Logic 3 (2):91-92.
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  40. Howard Delton Thomas. Analytical Syllogistics. A Pragmatic Interpretation of the Aristotelian Logic. Northwestern University Studies in the Humanities, No. 15. Evanston 1946, Ix + 181 Pp. [REVIEW]Virgil Hinshaw - 1947 - Journal of Symbolic Logic 12 (2):51-52.
  41. Morrison John J.. The Existential Import of a Proposition in Aristotelian Logic. Philosophy and Phenomenological Research, Vol. 15 No. 3 , Pp. 386–393. [REVIEW]Henry W. Johnstone - 1960 - Journal of Symbolic Logic 25 (4):339.
  42. Review: John J. Morrison, The Existential Import of a Proposition in Aristotelian Logic[REVIEW]Henry W. Johnstone - 1960 - Journal of Symbolic Logic 25 (4):339-339.
  43. Miller James Wilkinson. The Structure of Aristotelian Logic. Kegan Paul, Trench, Trubner & Co., London 1938, 97 Pp. [REVIEW]C. H. Langford - 1939 - Journal of Symbolic Logic 4 (3):121-122.
  44. Review: James Wilkinson Miller, The Structure of Aristotelian Logic[REVIEW]C. H. Langford - 1939 - Journal of Symbolic Logic 4 (3):121-122.
  45. Heitzman Marian W.. The Philosophical Foundations of the Aristotelian Logic and the Origin of the Syllogism. Proceedings of the American Catholic Philosophical Association, Vol. 29 , Pp. 131–142. [REVIEW]E. J. Lemmon - 1956 - Journal of Symbolic Logic 21 (4):389.
  46. Review: Marian W. Heitzman, The Philosophical Foundations of the Aristotelian Logic and the Origin of the Syllogism. [REVIEW]E. J. Lemmon - 1956 - Journal of Symbolic Logic 21 (4):389-389.
  47.  11
    The Many Roots of Medieval Logic: The Aristotelian and the Non-Aristotelian Traditions: Special Offprint of Vivarium 45, 2-3 (2007). [REVIEW]John Marenbon (ed.) - 2007 - Brill.
    The specialized essays in this collection study whether non-Aristotelian traditions of ancient logic had a role for medieval logicians. Special attention is given to Stoic logic and semantics, and to Neoplatonism.
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  48. Aristotelian and Cartesian Logic at Harvard: Charles Morton's a Logick System & William Brattle's Compendium of Logick.Charles Morton - 1995 - Published by the Colonial Society of Massachusetts and Distributed by the University Press of Virginia.
    Machine generated contents note: ARISTOTELIAN AND CARTESIAN LOGIC AT HARVARD -- by Rick Kennedy -- I. Introduction --II. Religiously-Oriented, Dogmatically-Inclined Humanistic Logics from the Renaissance to the Seventeenth Century -- A. Melanchthon and Aristotelianism 01 -- B. Richardson and Ramism 16 -- C. Aristotelianism, Ramism, and Schematic Thinking 25 -- D. Puritan Favoritism From Ramus to Descartes 32 -- E. Cartesian Logic and Christian Skepticism 37 -- F. The Religious and Dogmatic Orientation of The Port-'Royalfogic 42 -- (...)
     
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  49.  56
    Aristotelian Logic and Euclidean Mathematics: Seventeenth-Century Developments of the Quaestio de Certitudine Mathematicarum.Paolo Mancosu - 1992 - Studies in History and Philosophy of Science Part A 23 (2):241-265.
  50. The Existential Import of a Proposition in Aristotelian Logic.John J. Morrison - 1955 - Philosophy and Phenomenological Research 15 (3):386-393.
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