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Stoic logic

Berkeley,: University of California Press (1953)

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  1. The Stoics and their Philosophical System.William O. Stephens - 2020 - In Kelly Arenson (ed.), The Routledge Handbook of Hellenistic Philosophy. New York, NY, USA: Routledge. pp. 22-34.
    An overview of the ancient philosophers and their philosophical system (divided into the fields of logic, physics, and ethics) comprising the living, organic, enduring, and evolving body of interrelated ideas identifiable as the Stoic perspective.
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  • The politics of reason: Towards a feminist logic.Val Plumwood - 1993 - Australasian Journal of Philosophy 71 (4):436 – 462.
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  • Introduction.Barry Smith & David Woodruff Smith - 1995 - In Barry Smith & David Woodruff Smith (eds.), The Cambridge companion to Husserl. New York: Cambridge University Press.
    Husserl’s philosophy, by the usual account, evolved through three stages: 1. development of an anti-psychologistic, objective foundation of logic and mathematics, rooted in Brentanian descriptive psychology; 2. development of a new discipline of "phenomenology" founded on a metaphysical position dubbed "transcendental idealism"; transformation of phenomenology from a form of methodological solipsism into a phenomenology of intersubjectivity and ultimately (in his Crisis of 1936) into an ontology of the life-world, embracing the social worlds of culture and history. We show that this (...)
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  • Logic in Philosophy.Johan van Benthem - 2007 - In Dale Jacquette (ed.), Philosophy of Logic. Amsterdam: pp. 65-99.
    1 Logic in philosophy The century that was Logic has played an important role in modern philosophy, especially, in alliances with philosophical schools such as the Vienna Circle, neopositivism, or formal language variants of analytical philosophy. The original impact was via the work of Frege, Russell, and other pioneers, backed up by the prestige of research into the foundations of mathematics, which was fast bringing to light those amazing insights that still impress us to-day. The Golden Age of the 1930s (...)
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  • How Nothing Can Be Something: The Stoic Theory of Void.Vanessa de Harven - 2015 - Ancient Philosophy 35 (2):405-429.
    Void is at the heart of Stoic metaphysics. As the incorporeal par excellence, being defined purely in terms of lacking body, it brings into sharp focus the Stoic commitment to non-existent Somethings. This article argues that Stoic void, far from rendering the Stoic system incoherent or merely ad hoc, in fact reflects a principled and coherent physicalism that sets the Stoics apart from their materialist predecessors and atomist neighbors.
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  • The stoic analysis of tense and of plural propositions in sextus empiricus, adversus mathemticos.Paolo Crivelli - 1994 - Classical Quarterly 44 (2):490-499.
    Adversus Mathematicos x is the second book dedicated by Sextus to the discussion of the physical doctrines put forward by dogmatic philosophers. An extensive section deals with Diodorus Cronus' arguments concerning movement.
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  • Stoic Metaphysics and the Logic of Sense.J. Eric Butler - 2005 - Philosophy Today 49 (5):128-137.
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  • Demonstration and the Indemonstrability of the Stoic Indemonstrables.Susanne Bobzien - 2020 - Phronesis 65 (3):355-378.
    Since Mates’ seminal Stoic Logic there has been uncertainty and debate about how to treat the term anapodeiktos when used of Stoic syllogisms. This paper argues that the customary translation of anapodeiktos by ‘indemonstrable’ is accurate, and it explains why this is so. At the heart of the explanation is an argument that, contrary to what is commonly assumed, indemonstrability is rooted in the generic account of the Stoic epistemic notion of demonstration. Some minor insights into Stoic logic ensue.
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  • Cicero's De Fato in Deleuze's Logic of Sense.Michael James Bennett - 2015 - Deleuze and Guatarri Studies 9 (1):25-58.
    The arguments of the Stoic Chrysippus recorded in Cicero's De Fato are of great importance to Deleuze's conception of events in The Logic of Sense. The purpose of this paper is to explicate these arguments, to which Deleuze's allusions are extremely terse, and to situate them in the context of Deleuze's broader project in that book. Drawing on contemporary scholarship on the Stoics, I show the extent to which Chrysippus' views on compatibilism, hypothetical inference and astrology support Deleuze's claim that (...)
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  • The First Rule of Stoic Logic and its Relationship with the Indemonstrables.Miguel López Astorga - 2015 - Tópicos: Revista de Filosofía 50:9-23.
    Además de los indemostrables, la lógica estoica incluye varias reglas de reducción. En este trabajo, analizo la primera de ellas con el fin de comprobar si fue derivada formalmente a partir de los indemostrables o los estoicos pudieron plantearla a partir del uso de sus capacidades naturales de razonamiento. De esta manera, trato de mostrar que tenemos razones para apoyar ambas posibilidades y, basándome en un enfoque semántico como el de la teoría de los modelos mentales, de ofrecer argumentos al (...)
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  • Why Children, Parrots, and Actors Cannot Speak: The Stoics on Genuine and Superficial Speech.Sosseh Assaturian - 2022 - Apeiron 55 (1):1-34.
    At Varro LL VI.56 and SE M 8.275-276, we find reports of the Stoic view that children and articulate non-rational animals such as parrots cannot genuinely speak. Absent from these testimonia is the peculiar case of the superficiality of the actor’s speech, which appears in one edition of the unstable text of PHerc 307.9 containing fragments of Chrysippus’ Logical Investigations. Commentators who include this edition of the text in their discussions of the Stoic theory of speech do not offer a (...)
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  • On the Shoulders of Hipparchus.F. Acerbi - 2003 - Archive for History of Exact Sciences 57 (6):465-502.
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  • Stoicism in Berkeley's Philosophy.Stephen H. Daniel - 2011 - In Timo Airaksinen & Bertil Belfrage (eds.), Berkeley's lasting legacy: 300 years later. Newcastle upon Tyne: Cambridge Scholars Press. pp. 121-34.
    Commentators have not said much regarding Berkeley and Stoicism. Even when they do, they generally limit their remarks to Berkeley’s Siris (1744) where he invokes characteristically Stoic themes about the World Soul, “seminal reasons,” and the animating fire of the universe. The Stoic heritage of other Berkeleian doctrines (e.g., about mind or the semiotic character of nature) is seldom recognized, and when it is, little is made of it in explaining his other doctrines (e.g., immaterialism). None of this is surprising, (...)
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  • Indexical Thought: The Communication Problem.François Recanati - 2016 - In Manuel García-Carpintero & Stephan Torre (eds.), About Oneself: De Se Thought and Communication. Oxford: Oxford University Press. pp. 141-178.
    What characterizes indexical thinking is the fact that the modes of presentation through which one thinks of objects are context-bound and perspectival. Such modes of presentation, I claim, are mental files presupposing that we stand in certain relations to the reference : the role of the file is to store information one can gain in virtue of standing in that relation to the object. This raises the communication problem, first raised by Frege : if indexical thoughts are context-bound and relation-based, (...)
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  • Peter Schroeder-Heister on Proof-Theoretic Semantics.Thomas Piecha & Kai F. Wehmeier (eds.) - 2024 - Springer.
    This open access book is a superb collection of some fifteen chapters inspired by Schroeder-Heister's groundbreaking work, written by leading experts in the field, plus an extensive autobiography and comments on the various contributions by Schroeder-Heister himself. For several decades, Peter Schroeder-Heister has been a central figure in proof-theoretic semantics, a field of study situated at the interface of logic, theoretical computer science, natural-language semantics, and the philosophy of language. -/- The chapters of which this book is composed discuss the (...)
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  • Dialectical school.Susanne Bobzien - 2012 - In Peter Adamson (ed.), Stanford Encyclopedia of Philosophy. Stanford Encyclopedia of Philosophy.
    The ‘Dialectical school’ denotes a group of early Hellenistic philosophers that were loosely connected by philosophizing in the — Socratic — tradition of Eubulides of Megara and by their interest in logical paradoxes, propositional logic and dialectical expertise. . Its two best known members, Diodorus Cronus and Philo the Logician, made groundbreaking contributions to the development of theories of conditionals and modal logic. Philo introduced a version of material implication; Diodorus devised a forerunner of strict implication. Each developed a system (...)
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  • Ancient logic.Susanne Bobzien - 2012 - In Peter Adamson (ed.), Stanford Encyclopedia of Philosophy. 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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  • The peculiarities of stoic propositional logic.David Hitchcock - 2005 - In Kent A. Peacock & Andrew D. Irvine (eds.), Mistakes of reason: essays in honour of John Woods. Buffalo: University of Toronto Press. pp. 224--242.
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  • Rational Impressions and the Stoic Philosophy of Mind.Vanessa de Harven - 2017 - In John Sisko (ed.), in History of Philosophy of Mind: Pre-Socratics to Augustine. Acumen Publishing. pp. 215-35.
    This paper seeks to elucidate the distinctive nature of the rational impression on its own terms, asking precisely what it means for the Stoics to define logikē phantasia as an impression whose content is expressible in language. I argue first that impression, generically, is direct and reflexive awareness of the world, the way animals get information about their surroundings. Then, that the rational impression, specifically, is inherently conceptual, inferential, and linguistic, i.e. thick with propositional content, the way humans receive incoming (...)
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  • Handbook of Argumentation Theory.Frans H. van Eemeren, Bart Garssen, Erik C. W. Krabbe, A. Francisca Snoeck Henkemans, Bart Verheij & Jean H. M. Wagemans - 2014 - Dordrecht, Netherland: Springer.
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  • Natural Deduction, Hybrid Systems and Modal Logics.Andrzej Indrzejczak - 2010 - Dordrecht, Netherland: Springer.
    This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.
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  • Arguing on the Toulmin Model: New Essays in Argument Analysis and Evaluation.David Hitchcock & Bart Verheij (eds.) - 2006 - Dordrecht, Netherland: Springer.
    In The Uses of Argument, Stephen Toulmin proposed a model for the layout of arguments: claim, data, warrant, qualifier, rebuttal, backing. Since then, Toulmin’s model has been appropriated, adapted and extended by researchers in speech communications, philosophy and artificial intelligence. This book assembles the best contemporary reflection in these fields, extending or challenging Toulmin’s ideas in ways that make fresh contributions to the theory of analysing and evaluating arguments.
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  • Una Introducción a la teoría lógica de la Edad Media.Manuel A. Dahlquist - 2018 - London, UK: College Publications.
    La lógica de la Edad Media se presenta a los lógicos contemporáneos, filósofos medievalistas, historiadores y filósofos de la lógica, como un campo tan fascinante como de difícil acceso. Parece demasiado intrincado para casi cualquier investigador de estas áreas encontrar la punta del ovillo que lo conduzca a transitar una presentación ordenada e inteligible de la lógica medieval. Este libro pretende solucionar este problema. Para ello, presenta de manera ordenada y autocontenida los desarrollos lógicos de la parte técnicamente más evolucionada (...)
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  • Conditionals, Inference, and Possibility in Ancient Mesopotamian Science.Francesca Rochberg - 2009 - Science in Context 22 (1):5-25.
    ArgumentThis paper argues that ancient Babylonian signs (omens) reflect a mode of inferential reasoning as a function of their syntactic and logical structure as conditionals. Taking into account the institutional context that produced a systematic written body of omens, the paper is principally interested in the cognitive disposition of such texts. Investigating what constitutes system in these works, formal aspects of the material are examined in terms of the nature of conditionals and the logic of conditional statements. It is argued (...)
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  • Reason, causation and compatibility with the phenomena.Basil Evangelidis - 2020 - Wilmington, Delaware, USA: Vernon Press.
    'Reason, Causation and Compatibility with the Phenomena' strives to give answers to the philosophical problem of the interplay between realism, explanation and experience. This book is a compilation of essays that recollect significant conceptions of rival terms such as determinism and freedom, reason and appearance, power and knowledge. This title discusses the progress made in epistemology and natural philosophy, especially the steps that led from the ancient theory of atomism to the modern quantum theory, and from mathematization to analytic philosophy. (...)
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  • Logical Form: Between Logic and Natural Language.Andrea Iacona - 2018 - Cham, Switzerland: Springer Verlag.
    Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as (...)
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  • Vreme, objasnjenje, modalnost (Time, Explanation, Modality).Vladimir Marko - 2004 - Novi Sad, Serbia: Futura.
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  • Disjunctive Syllogism without Ex falso.Luiz Carlos Pereira, Edward Hermann Haeusler & Victor Nascimento - 2024 - In Thomas Piecha & Kai F. Wehmeier (eds.), Peter Schroeder-Heister on Proof-Theoretic Semantics. Springer. pp. 193-209.
    The relation between ex falso and disjunctive syllogism, or even the justification of ex falso based on disjunctive syllogism, is an old topic in the history of logic. This old topic reappears in contemporary logic since the introduction of minimal logic by Johansson. The disjunctive syllogism seems to be part of our general non-problematic inferential practices and superficially it does not seem to be related to or to depend on our acceptance of the frequently disputable ex falso rule. We know (...)
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  • Some aspects of language and construction in the madhyamaka.Paul M. Williams - 1980 - Journal of Indian Philosophy 8 (1):1-45.
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  • Arthur Prior and Medieval Logic.Sara L. Uckelman - 2012 - Synthese 188 (3):349-366.
    Though Arthur Prior is now best known for his founding of modern temporal logic and hybrid logic, much of his early philosophical career was devoted to history of logic and historical logic. This interest laid the foundations for both of his ground-breaking innovations in the 1950s and 1960s. Because of the important rôle played by Prior's research in ancient and medieval logic in his development of temporal and hybrid logic, any student of Prior, temporal logic, or hybrid logic should be (...)
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  • Formal Logic for Informal Logicians.David Sherry - 2006 - Informal Logic 26 (2):199-220.
    Classical logic yields counterintuitive results for numerous propositional argument forms. The usual alternatives (modal logic, relevance logic, etc.) generate counterintuitive results of their own. The counterintuitive results create problems—especially pedagogical problems—for informal logicians who wish to use formal logic to analyze ordinary argumentation. This paper presents a system, PL– (propositional logic minus the funny business), based on the idea that paradigmatic valid argument forms arise from justificatory or explanatory discourse. PL– avoids the pedagogical difficulties without sacrificing insight into argument.
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  • Zur Miete bei Frege – Rudolf Hirzel und die Rezeption der stoischen Logik und Semantik in Jena.Sven Schlotter, Karlheinz Hülser & Gottfried Gabriel - 2009 - History and Philosophy of Logic 30 (4):369-388.
    It has been noted before in the history of logic that some of Frege's logical and semantic views were anticipated in Stoicism. In particular, there seems to be a parallel between Frege's Gedanke (thought) and Stoic lekton; and the distinction between complete and incomplete lekta has an equivalent in Frege's logic. However, nobody has so far claimed that Frege was actually influenced by Stoic logic; and there has until now been no indication of such a causal connection. In this essay, (...)
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  • First-Order Modal Logic.Melvin Fitting & Richard L. Mendelsohn - 1998 - Dordrecht, Netherland: Kluwer Academic Publishers.
    This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.
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  • Commentary on Robert Heinaman’s “Aristotle on Praxis and Activity”.Alison McIntyre - 1990 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 6 (1):228-239.
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  • Colloquium 6.Alison McIntyre - 1990 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 6 (1):228-239.
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  • On meaningfulness and truth.BrianEdison McDonald - 2000 - Journal of Philosophical Logic 29 (5):433-482.
    We show how to construct certain L M, T -type interpreted languages, with each such language containing meaningfulness and truth predicates which apply to itself. These languages are comparable in expressive power to the L T -type, truth-theoretic languages first considered by Kripke, yet each of our L M, T -type languages possesses the additional advantage that, within it, the meaninglessness of any given meaningless expression can itself be meaningfully expressed. One therefore has, for example, the object level truth (and (...)
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  • On Meaningfulness and Truth.Brian Edison McDonald - 2000 - Journal of Philosophical Logic 29 (5):433 - 482.
    We show how to construct certain " $[Unrepresented Character]_{M,T}$ -type" interpreted languages, with each such language containing meaningfulness and truth predicates which apply to itself. These languages are comparable in expressive power to the $[Unrepresented Character]_{T}$ -type, truth-theoretic languages first considered by. Kripke, yet each of our $[Unrepresented Character]_{M,T}$ -type languages possesses the additional advantage that, within it, the meaninglessness of any given meaningless expression can itself be meaningfully expressed. One therefore has, for example, the object level truth (and meaningfulness) (...)
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  • Something amazing about the Peripatetic of Pallet: Abaelard's development of Boethius' account of conditional propositions. [REVIEW]ChristopherJ Martin - 1987 - Argumentation 1 (4):419-436.
    Mediaeval logicians inherited from Boethius an account of conditional propositions and the syllogisms which may be constructed using them. In the following paper it is shown that there are considerable difficulties with Boethius' account which arise from his failure to understand the nature of compound propositions and in particular to provide for their negation. Boethius suggests that there are two different conditions which may be imposed for the truth of a conditional proposition but he really gives no adequate account of (...)
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  • The Stoic Theory of Sign and the Semantic Modulation of Models.Miguel López-Astorga - 2022 - SATS 23 (2):191-201.
    The theory of mental models is a current cognitive approach trying to describe the way people make inferences. According to this theory, people reason from possibilities or models linked to sentences. Sometimes, such possibilities or models are transformed by the action of a semantic modulation. The point this paper is intended to make is that Stoic logic also has the machinery to explain semantic processes such as that of modulation. This is shown by means of the criterion Chrysippus of Soli (...)
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  • The semantic method of extension and intension and the four criteria of the conditional described by Sextus Empiricus.Miguel López-Astorga - 2019 - Revista de Filosofía 44 (2):253-261.
    En este artículo se analiza el debate sobre la forma adecuada de entender el condicional producido en el siglo IV a. C. El análisis se lleva a cabo mediante el método proporcionado por Rudolf Carnap para estudiar el significado de las expresiones, es decir, mediante el método de extensión e intensión. Los resultados de ese análisis parecen mostrar que, aunque, según Sexto Empirico, el debate fue sobre cuatro criterios diferentes para comprender el condicional, en realidad tres de esos criterios parecen (...)
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  • Chrysippus’ Indemonstrables and the Semantic Mental Models.Miguel López-Astorga - 2017 - Eidos: Revista de Filosofía de la Universidad Del Norte 26:302-325.
    Resumen Atendiendo a la lógica estándar, solo uno de los cinco indemostrables propuestos por Crisipo de Solos es realmente indemostrable. Sus otros cuatro esquemas son demostrables en tal lógica. La pregunta, por tanto, es: si cuatro de ellos no son verdaderamente indemostrables, por qué Crisipo consideró que sí lo eran. López-Astorga mostró que si ignoramos el cálculo proposicional estándar y asumimos que una teoría cognitiva contemporánea, la teoría de la lógica mental, describe correctamente el razonamiento humano, se puede entender por (...)
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  • From Figure to Argument: Contrarium in Roman Rhetoric. [REVIEW]Manfred Kraus - 2007 - Argumentation 21 (1):3-19.
    In Roman rhetoric, contrarium was variably considered either a figure of speech or an argument. The paper examines the logical pattern of this type of argument, which according to Cicero is based on a third Stoic indemonstrable syllogism: $$ \neg ({\hbox{p}} \wedge {\hbox{q}});<$> <$>{\hbox{p}} \to \neg {\hbox{q}}{\hbox{.}} $$ The persuasiveness of this type of argument, however, vitally depends on the validity of the alleged ‹incompatibility’ forming its major premiss. Yet this appears to be the argument’s weak point, as the ‹incompatibilities’ (...)
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  • La logique est‐elle une discipline des mathématiques ou fait‐elle partie de ľontologie ?Guido Küng - 1985 - Dialectica 39 (3):243-258.
    RésuméHeinrich Scholz et J.M. Bocheski ont affirmé que les lois de la logique formelle étaient en fait les lois les plus générates qui caractérisent les choses, les propriétés, les relations, les états de choses etc. D'autres confondent la logique et la théorie des ensembles. Mais ľ interpretation des quantificateurs qu'on trouve chez Leśniewski montre que la logique ne fait partie ni de ľ ontologie, ni des mathématiques.
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  • The punctuational sources of the truth-functional 'or'.R. E. Jennings - 1986 - Philosophical Studies 50 (2):237-259.
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  • Chrysippus’s response to Diodorus’s master argument.Harry A. Ide - 1992 - History and Philosophy of Logic 13 (2):133-148.
    Chrysippus claims that some propositions perish. including some true conditionals whose consequent is impossible and antecedent is possible, to which he appeals against Diodorus?s Master Argument. On the standard interpretation. perished propositions lack truth values. and these conditionals are true at the same time as their antecedents arc possible and consequents impossible. But perished propositions are false, and Chrysippus?s conditionals are true when their antecedent and consequent arc possible, and false when their antecedent is possible and consequent impossible. The claim (...)
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  • A critical discussion of Prior’s philosophical and tense-logical analysis of the ideas of indeterminism and human freedom.Peter Øhrstrøm - 2019 - Synthese 196 (1):69-85.
    This paper is a critical discussion of A.N. Prior’s contribution to the modern understanding of indeterminism and human freedom of choice. Prior suggested that these ideas should be conceived in terms of his tense logic. It can be demonstrated that his approach provides an attractive formalization that makes it possible to discuss indeterminism and human freedom of choice in a very precise manner and in a broader metaphysical context. It is also argued that Prior’s development of this approach was closely (...)
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  • Two Interpretations of Two Stoic Conditionals.Alan Hájek - 2009 - History of Philosophy & Logical Analysis 12 (1):206-221.
    Controversy has surrounded the interpretation of the so-called 'Diodorean' and 'Chrysippean' conditionals of the Stoics. I critically evaluate and reject two interpretations of each of them: as expressing natural laws, and as strict conditionals. In doing so I engage with the work of authors such as Frede, Gould, Hurst, the Kneales, Mates, and Prior. I conclude by offering my own proposal for where these Stoic conditionals should be located on a 'ladder' of logical strength.
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  • On the immediate and dynamical interpretants and objects of signs.Risto Hilpinen - 2019 - Semiotica 2019 (228):91-101.
    In his semiotic system Peirce distinguished between two interpretants and two objects of a sign: an immediate and a dynamical interpretant, and an immediate and a dynamical object. It is argued that Peirce’s immediate object can be interpreted a qua-object which has the dynamical object as its basis, and the dynamical interpretant consists of an interpreter’s conception of the object of the sign. Peirce semiotic system is compared with the accounts given by Frege, Husserl, Meinong, and the Stoics.
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  • What Logic did to Rhetoric.Ian Hacking - 2013 - Journal of Cognition and Culture 13 (5):419-436.
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  • Skeptic Semiotics.David Glidden - 1983 - Phronesis 28 (3):213-255.
    This article presents a detailed exploration of what Sextus and Pyrrhonists regarded as mnemonic signs, where one experience reminds us of another, such as seeing smoke reminds us of a fire that is not yet evident to our present observations. For the skeptic the use of mnemonic signs obviates the need for reasoned, theoretical interpretations or elaborated belief formation. It allows the skeptic or the theory-free physician, for that matter, to live a life or practice symptomatic medicine without the need (...)
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