Switch to: References

Add citations

You must login to add citations.
  1. How to Base Apodeictic Syllogistic on Essentialist Theory.Paul Thom - 1998 - History of Philosophy & Logical Analysis 1 (1):171-185.
    Download  
     
    Export citation  
     
    Bookmark  
  • Pure Modal Logic of Names and Tableau Systems.Andrzej Pietruszczak & Tomasz Jarmużek - 2018 - Studia Logica 106 (6):1261-1289.
    By a pure modal logic of names we mean a quantifier-free formulation of such a logic which includes not only traditional categorical, but also modal categorical sentences with modalities de re and which is an extension of Propositional Logic. For categorical sentences we use two interpretations: a “natural” one; and Johnson and Thomason’s interpretation, which is suitable for some reconstructions of Aristotelian modal syllogistic :271–284, 1989; Thomason in J Philos Logic 22:111–128, 1993 and J Philos Logic 26:129–141, 1997. In both (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • ΑΝΑΛΥΣΙΣ ΠΕΡΙ ΤΑ ΣΧΗΜΑΤΑ Restoring Aristotle’s Lost Diagrams of the Syllogistic Figures.Marian Wesoły - 2012 - Peitho 3 (1):83-114.
    The article examines the relevance of Aristotle’s analysis that concerns the syllogistic figures. On the assumption that Aristotle’s analytics was inspired by the method of geometric analysis, we show how Aristotle used the three terms, when he formulated the three syllogistic figures. So far it has not been appropriately recognized that the three terms — the major, the middle and the minor one — were viewed by Aristotle syntactically and predicatively in the form of diagrams. Many scholars have misunderstood Aristotle (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Modal Propositions in Aristotle's Syllogistic.Adriane Allison Rini - 1997 - Dissertation, University of Massachusetts Amherst
    The dissertation is an investigation into the structure of Aristotle's modal propositions through careful attention to the text of the Prior Analytics. I take account not only of recent attempts to formalize Aristotle's modal syllogistic but also of the discussion that Aristotle himself provides about modal statements. I provide evidence that his modal propositions are to be construed in a de re manner and then go on to investigate the problems raised by a de re analysis, particularly those problems concerned (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • SEPTEMBER 2015 UPDATE CORCORAN ARISTOTLE BIBLIOGRAPHY.John Corcoran - forthcoming - Aporia 5.
    This presentation includes a complete bibliography of John Corcoran’s publications relevant on Aristotle’s logic. The Sections I, II, III, and IV list respectively 23 articles, 44 abstracts, 3 books, and 11 reviews. Section I starts with two watershed articles published in 1972: the Philosophy & Phenomenological Research article—from Corcoran’s Philadelphia period that antedates his discovery of Aristotle’s natural deduction system—and the Journal of Symbolic Logic article—from his Buffalo period first reporting his original results. It ends with works published in 2015. (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  • A Reconstruction of Aristotle's Modal Syllogistic.Marko Malink - 2006 - History and Philosophy of Logic 27 (2):95-141.
    Ever since ?ukasiewicz, it has been opinio communis that Aristotle's modal syllogistic is incomprehensible due to its many faults and inconsistencies, and that there is no hope of finding a single consistent formal model for it. The aim of this paper is to disprove these claims by giving such a model. My main points shall be, first, that Aristotle's syllogistic is a pure term logic that does not recognize an extra syntactic category of individual symbols besides syllogistic terms and, second, (...)
    Download  
     
    Export citation  
     
    Bookmark   12 citations  
  • A Simple Semantics for Aristotelian Apodeictic Syllogistics.Sara L. Uckelman & Spencer Johnston - 2010 - Advances in Modal Logic 8:454-469.
    We give a simple definition of validity for syllogisms involving necessary and assertoric premises which validates all and only the Aristotelian apodeictic syllogisms.
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • Alexander of Aphrodisias and the Heterodox Dictum de Omni Et de Nullo.Luca0 Gili - 2015 - History and Philosophy of Logic 36 (2):114-128.
    Aristotle's explanation of what is said ‘of every’ and ‘of none’ has been interpreted either as involving individuals, or as regarding exclusively universal terms. I claim that Alexander of Aphrodisias endorsed this latter interpretation of the dictum de omni et de nullo. This interpretation affects our understanding of Alexander's syllogistic: as a matter of fact, Alexander maintained that the dictum de omni et de nullo is one of the core principles of syllogistic.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Essence and Necessity, and the Aristotelian Modal Syllogistic: A Historical and Analytical Study.Vecchio Daniel James - unknown
    The following is a critical and historical account of Aristotelian Essentialism informed by recent work on Aristotle’s modal syllogistic. The semantics of the modal syllogistic are interpreted in a way that is motivated by Aristotle, and also make his validity claims in the Prior Analytics consistent to a higher degree than previously developed interpretative models. In Chapter One, ancient and contemporary objections to the Aristotelian modal syllogistic are discussed. A resolution to apparent inconsistencies in Aristotle’s modal syllogistic is proposed and (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Term Kinds and the Formality of Aristotelian Modal Logic.Joshua Mendelsohn - 2017 - History and Philosophy of Logic 38 (2):99-126.
    Recent formalizations of Aristotle's modal syllogistic have made use of an interpretative assumption with precedent in traditional commentary: That Aristotle implicitly relies on a distinction between two classes of terms. I argue that the way Rini employs this distinction undermines her attempt to show that Aristotle gives valid proofs of his modal syllogisms. Rini does not establish that Aristotle gives valid proofs of the arguments which she takes to best represent Aristotle's modal syllogisms, nor that Aristotle's modal syllogisms are instances (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Polarity and Inseparability: The Foundation of the Apodictic Portion of Aristotle's Modal Logic.Dwayne Raymond - 2010 - History and Philosophy of Logic 31 (3):193-218.
    Modern logicians have sought to unlock the modal secrets of Aristotle's Syllogistic by assuming a version of essentialism and treating it as a primitive within the semantics. These attempts ultimately distort Aristotle's ontology. None of these approaches make full use of tests found throughout Aristotle's corpus and ancient Greek philosophy. I base a system on Aristotle's tests for things that can never combine (polarity) and things that can never separate (inseparability). The resulting system not only reproduces Aristotle's recorded results for (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Later Medieval Metaphysics. Ontology, Language & Logic.Andreas Blank - 2014 - History and Philosophy of Logic 35 (2):1-3.
    Download  
     
    Export citation  
     
    Bookmark  
  • Hupo in the Prior Analytics: A Note on Disamis XLL.Adriane A. Rini - 2000 - History and Philosophy of Logic 21 (4):259-264.
    This is a brief note that looks at the problem presented by the traditional rendering of the modal syllogism Disamis XLL. In two recent articles, I argue that we should not attribute Disamis XLL to Aristotle. The purpose of this note is to provide textual support for my claim.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Aristotle's Modal Syllogistic.D. Raymond - 2014 - History and Philosophy of Logic 35 (2):209-211.
    Download  
     
    Export citation  
     
    Bookmark  
  • Apodeictic Syllogisms: Deductions and Decision Procedures.Fred Johnson - 1995 - History and Philosophy of Logic 16 (1):1-18.
    One semantic and two syntactic decision procedures are given for determining the validity of Aristotelian assertoric and apodeictic syllogisms. Results are obtained by using the Aristotelian deductions that necessarily have an even number of premises.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Modal Ecthesis.Fred Johnson - 1993 - History and Philosophy of Logic 14 (2):171-182.
    Fred's semantics for McCall's syntactic presentation of Aristotle's assertoric and apodeictic syllogistic is altered to free it from Thom's objections that it is unAristotelian. The altered semantics rejects Baroco-XLL and Bocardo-LXL, which Thom says Aristotle should have accepted. Aristotle's proofs that use ecthesis are formalized by using singular sentences. With one exception the (acceptance) axioms for McCall's system L-X-M are derivable. Formal proofs are shown to be sound.
    Download  
     
    Export citation  
     
    Bookmark   3 citations