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Parts, Quantification and Aristotelian Predication

The Monist 83 (1):3-21 (2000)

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A Mereological Reading of the Dictum de Omni et Nullo.Phil Corkum - forthcoming - Archiv für Geschichte der Philosophie.details When Aristotle introduces the perfect moods, he refers back to the dictum de omni et nullo, a semantic condition for universal affirmations and negations. There recently has been renewed interest in the question whether the dictum validates the assertoric syllogistic. I rehearse evidence that Aristotle provides a mereological semantics for universal affirmations and negations, and note that this semantics entails a nonstandard reading of the dictum, under which the dictum, in the presence of a minimal logical apparatus, indeed validates the (...) Aristotelian Logic in Logic and Philosophy of Logic Aristotle: Prior Analytics in Ancient Greek and Roman Philosophy Aristotle: Syllogistic in Ancient Greek and Roman Philosophy Logic and Philosophy of Logic, Misc in Logic and Philosophy of Logic Logical Consequence and Entailment in Logic and Philosophy of Logic Direct download (3 more) Export citation Bookmark
Mereology in Aristotle's Assertoric Syllogistic.Justin Vlasits - 2019 - History and Philosophy of Logic 40 (1):1-11.details How does Aristotle think about sentences like ‘Every x is y’ in the Prior Analytics? A recently popular answer conceives of these sentences as expressing a mereological relationship between x and y: the sentence is true just in case x is, in some sense, a part of y. I argue that the motivations for this interpretation have so far not been compelling. I provide a new justification for the mereological interpretation. First, I prove a very general algebraic soundness and completeness (...) Aristotle: Predication in Ancient Greek and Roman Philosophy Aristotle: Syllogistic in Ancient Greek and Roman Philosophy Logic and Philosophy of Logic Direct download (5 more) Export citation Bookmark 4 citations
The Arithmetical dictum.Paolo Maffezioli & Riccardo Zanichelli - 2023 - History and Philosophy of Logic 44 (4):373-394.details Building on previous scholarly work on the mathematical roots of assertoric syllogistic we submit that for Aristotle, the semantic value of the copula in universal affirmative propositions is the relation of divisibility on positive integers. The adequacy of this interpretation, labeled here ‘arithmetical dictum’, is assessed both theoretically and textually with respect to the existing interpretations, especially the so-called ‘mereological dictum’. Logic and Philosophy of Logic Direct download (3 more) Export citation Bookmark
Dialectic, the Dictum de Omni and Ecthesis.Michel Crubellier, Mathieu Marion, Zoe Mcconaughey & Shahid Rahman - 2019 - History and Philosophy of Logic 40 (3):207-233.details In this paper, we provide a detailed critical review of current approaches to ecthesis in Aristotle’s Prior Analytics, with a view to motivate a new approach, which builds upon previous work by Marion & Rückert (2016) on the dictum de omni. This approach sets Aristotle’s work within the context of dialectic and uses Lorenzen’s dialogical logic, hereby reframed with use of Martin-Löf's constructive type theory as ‘immanent reasoning’. We then provide rules of syllogistic for the latter, and provide proofs of (...) Aristotelian Logic in Logic and Philosophy of Logic Direct download (10 more) Export citation Bookmark 4 citations
Aristotle on Predication.Phil Corkum - 2015 - European Journal of Philosophy 23 (3):793-813.details A predicate logic typically has a heterogeneous semantic theory. Subjects and predicates have distinct semantic roles: subjects refer; predicates characterize. A sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. Traditional term logic, by contrast, has a homogeneous theory: both subjects and predicates refer; and a sentence is true if the subject and predicate name one and the same thing. In this paper, I will examine evidence for ascribing to Aristotle the (...) Aristotle: Logic and Philosophy of Language in Ancient Greek and Roman Philosophy Aristotle: On Interpretation in Ancient Greek and Roman Philosophy Predicates in Philosophy of Language Theories of Reference, Misc in Philosophy of Language Truth, Misc in Philosophy of Language Direct download (3 more) Export citation Bookmark 11 citations
Termos singulares, transcategoriais e Summa Genera na lógica de Aristóteles.Wellington Damasceno de Almeida - 2013 - Manuscrito 36 (1):5-48.details No categories Direct download (6 more) Export citation Bookmark 2 citations
O agir voluntário como característica distintiva das ações na Ética Nicomaquéia de Aristóteles.Luiz Francisco Garcia Lavanholi - 2015` - Filosofia Grega E Helenística (Coleção XVI Encontro Anpof).details Aristotle, Misc in Ancient Greek and Roman Philosophy Aristotle: Free Will and Agency in Ancient Greek and Roman Philosophy Aristotle: Voluntary and Involuntary in Ancient Greek and Roman Philosophy Direct download Export citation Bookmark
Acerca dos concomitantes per se em Aristóteles.Breno Andrade Zuppolini - 2015 - Filosofia Grega E Helenística (Coleção XVI Encontro Anpof).details Aristotle: Demonstration in Ancient Greek and Roman Philosophy Aristotle: Philosophy of Science, Misc in Ancient Greek and Roman Philosophy Aristotle: Posterior Analytics in Ancient Greek and Roman Philosophy Aristotle: Predication in Ancient Greek and Roman Philosophy Direct download Export citation Bookmark

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