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  1. 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 -/- The book is devoted to the ancient logical theories, reconstruction of their semantic proprieties and possibilities of their interpretation by modern logical tools. The Ancient arguments are frequently misunderstood in modern interpretations since authors usually have tendency to ignore their historical proprieties and theoretical background what usually leads to a quite inappropriate picture of the argument’s original form and mission. Author’s primary intention was to draw attention to the (...)
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  • Vreme, objasnjenje, modalnost (Time, Explanation, Modality).Vladimir Marko - 2004 - Novi Sad, Serbia: Futura.
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  • Phainomena e explicação na Ética Eudêmia de Aristóteles.Raphael Zillig - 2014 - In Zillig Raphael (ed.), Conocimiento, ética y estética en la Filosofía Antigua: Actas del II Simposio Nacional de Filosofía Antigua. Asociación Argentina de Filosofía Antigua. pp. 330-336.
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  • The Chrysippus intuition and contextual theories of truth.Jay Newhard - 2009 - Philosophical Studies 142 (3):345-352.
    Contextual theories of truth are motivated primarily by the resolution they provide to paradoxical reasoning about truth. The principal argument for contextual theories of truth relies on a key intuition about the truth value of the proposition expressed by a particular utterance made during paradoxical reasoning, which Anil Gupta calls “the Chrysippus intuition.” In this paper, I argue that the principal argument for contextual theories of truth is circular, and that the Chrysippus intuition is false. I conclude that the philosophical (...)
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  • The Logic and Meaning of Plurals. Part I.Byeong-Uk Yi - 2005 - Journal of Philosophical Logic 34 (5-6):459-506.
    Contemporary accounts of logic and language cannot give proper treatments of plural constructions of natural languages. They assume that plural constructions are redundant devices used to abbreviate singular constructions. This paper and its sequel, "The logic and meaning of plurals, II", aim to develop an account of logic and language that acknowledges limitations of singular constructions and recognizes plural constructions as their peers. To do so, the papers present natural accounts of the logic and meaning of plural constructions that result (...)
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  • Commentary on Schwed.Lawrence Powers - unknown
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  • Remarks on Operators and Modalities.María-Luisa Rivero - 1972 - Foundations of Language 9 (2):209-241.
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  • Commentary on Allen.Jaakko Hintikka - 1995 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 11 (1):206-215.
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  • The Way of Nonacquisition: Jizang's Philosophy of Ontic Indeterminacy.Chien-Hsing Ho - 2014 - In Chen-Kuo Lin & Michael Radich (eds.), A Distant Mirror: Articulating Indic Ideas in Sixth and Seventh Century Chinese Buddhism. Hamburg University Press. pp. 397-418.
    For Jizang (549−623), a prominent philosophical exponent of Chinese Madhyamaka, all things are empty of determinate form or nature. Given anything X, no linguistic item can truly and conclusively be applied to X in the sense of positing a determinate form or nature therein. This philosophy of ontic indeterminacy is connected closely with his notion of the Way (dao), which seems to indicate a kind of ineffable principle of reality. However, Jizang also equates the Way with nonacquisition as a conscious (...)
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  • Theology against logic: the origins of logic in old russia.Irving H. Anellis - 1992 - History and Philosophy of Logic 13 (1):15-42.
    We consider the history of logic in pre-Petrine. Petrine. and immediate post-Pctrine Russia (from the 15th to the mid-18th centuries) and especially of the Petrine era from the late 17th to early 18th century. Throughout much of this time, the clergy evinced strong hostility towards logic. Nevertheless, a small number of academics and clerics such as Stefan Iavorskii and Fcofan Prokopovich kept Aristotelian logic alive during this period and provided the foundation for its development in the modern era.
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  • Completion, reduction and analysis: three proof-theoretic processes in aristotle’s prior analytics.George Boger - 1998 - History and Philosophy of Logic 19 (4):187-226.
    Three distinctly different interpretations of Aristotle’s notion of a sullogismos in Prior Analytics can be traced: (1) a valid or invalid premise-conclusion argument (2) a single, logically true conditional proposition and (3) a cogent argumentation or deduction. Remarkably the three interpretations hold similar notions about the logical relationships among the sullogismoi. This is most apparent in their conflating three processes that Aristotle especially distinguishes: completion (A4-6)reduction(A7) and analysis (A45). Interpretive problems result from not sufficiently recognizing Aristotle’s remarkable degree of metalogical (...)
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  • Argumentation, dialogue and the kathāvatthu.Jonardon Ganeri - 2001 - Journal of Indian Philosophy 29 (4):485-493.
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  • Logical constants.John MacFarlane - 2008 - Mind.
    Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...)
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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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  • Logic and the autonomy of ethics.Charles R. Pigden - 1989 - Australasian Journal of Philosophy 67 (2):127 – 151.
    My first paper on the Is/Ought issue. The young Arthur Prior endorsed the Autonomy of Ethics, in the form of Hume’s No-Ought-From-Is (NOFI) but the later Prior developed a seemingly devastating counter-argument. I defend Prior's earlier logical thesis (albeit in a modified form) against his later self. However it is important to distinguish between three versions of the Autonomy of Ethics: Ontological, Semantic and Ontological. Ontological Autonomy is the thesis that moral judgments, to be true, must answer to a realm (...)
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  • Does Logic Have a History at All?Jens Lemanski - forthcoming - Foundations of Science:1-23.
    To believe that logic has no history might at first seem peculiar today. But since the early 20th century, this position has been repeatedly conflated with logical monism of Kantian provenance. This logical monism asserts that only one logic is authoritative, thereby rendering all other research in the field marginal and negating the possibility of acknowledging a history of logic. In this paper, I will show how this and many related issues have developed, and that they are founded on only (...)
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  • Remarks on the origin and foundations of formalisation.Srećko Kovač - 2020 - In Marcin Będkowski, Anna Brożek, Alicja Chybińska, Stepan Ivanyk & Dominik Traczykowski (eds.), Formal and Informal Methods in Philosophy. Boston: Brill | Rodopi. pp. 163-179..
    The Aristotelian origins of formal systems are outlined, together with Aristotle's use of causal terms in describing syllogisms. The precision and exactness of a formalism, based on the projection of logical forms into perceptive signs, is contrasted with foundational, abstract concepts, independent of any formalism, which are presupposed for the understanding of a formal language. The definition of a formal system by means of a Turing machine is put in the context of Wittgenstein's general considerations of a machine understood as (...)
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  • La teoría del silogismo simpliciter en las Refutaciones Sofísticas de Aristóteles.Gonzalo Llach Villalobos - 2020 - Dissertation, Pontifical Catholic University of Chile
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  • A Critical Examination of the Historical Origins of Connexive Logic.Wolfgang Lenzen - 2019 - History and Philosophy of Logic 41 (1):16-35.
    It is often assumed that Aristotle, Boethius, Chrysippus, and other ancient logicians advocated a connexive conception of implication according to which no proposition entails, or is entailed by, its own negation. Thus Aristotle claimed that the proposition ‘if B is not great, B itself is great […] is impossible’. Similarly, Boethius maintained that two implications of the type ‘If p then r’ and ‘If p then not-r’ are incompatible. Furthermore, Chrysippus proclaimed a conditional to be ‘sound when the contradictory of (...)
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  • Aristotle's Theory of the Assertoric Syllogism.Stephen Read - manuscript
    Although the theory of the assertoric syllogism was Aristotle's great invention, one which dominated logical theory for the succeeding two millenia, accounts of the syllogism evolved and changed over that time. Indeed, in the twentieth century, doctrines were attributed to Aristotle which lost sight of what Aristotle intended. One of these mistaken doctrines was the very form of the syllogism: that a syllogism consists of three propositions containing three terms arranged in four figures. Yet another was that a syllogism is (...)
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  • Crísipo de solós y los indemostrables.Alejandro Ramírez Figueroa - 2018 - Revista de filosofía (Chile) 74:193-214.
    Resumen: De acuerdo con los principales enfoques al respecto (Sexto, Diógenes Laercio, Galeno, B.Mates, Long, Bochenski, Lukasiewicz) la lógica (dialéctica) de los estoicos es principalmente un sistema deductivo, lo que, en términos actuales, ha sido visto como un sistema de lógica proposicional. La obra de Crísipo acerca de los cinco argumentos indemostrables constituye la principal base de dicho sistema. En este artículo se examina la naturaleza de dichos cinco indemostrables así como el llamando teorema de Antipatro y los esquemas básicos (...)
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  • Educating For Silence: Renaissance Women and the Language Arts.Joan Gibson - 1989 - Hypatia 4 (1):9-27.
    In the Renaissance, educating for philosophy was integrated with educating for an active role in society, and both were conditioned by the prevailing educational theories based on humanist revisions of the trivium. I argue that women's education in the Renaissance remained tied to grammar while the education of men was directed toward action through eloquence. This is both a result of and a condition for the greater restriction on the social opportunities for women.
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  • The Liar Paradox as a reductio ad absurdum argument.Menashe Schwed - unknown
    This presentation traces an historical root of the reductio ad absurdum mode of argumentation in Greek philosophy. I propose a new understanding of the liar paradox as an instance of this mode of argumentation. I show that the paradox was crea ted as part of a refutational argument in the controversy over the justification of realism and the realists concepts of truth and certainty. The paradox was part of the dialectical style of Greek scepticism, which was characterized, inter alia, by (...)
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  • The Interpretation of Classically Quantified Sentences: A set-theoretic approach.Guy Politzer, Jean-Baptiste Van der Henst, Claire Delle Luche & Ira A. Noveck - 2006 - Cognitive Science 30 (4):691-723.
    We present a set-theoretic model of the mental representation of classically quantified sentences (All P are Q, Some P are Q, Some P are not Q, and No P are Q). We take inclusion, exclusion, and their negations to be primitive concepts. It is shown that, although these sentences are known to have a diagrammatic expression (in the form of the Gergonne circles) which constitute a semantic representation, these concepts can also be expressed syntactically in the form of algebraic formulas. (...)
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  • Is the Royaumont Colloquium the Locus Classicus of the Divide Between Analytic and Continental Philosophy? Reply to Overgaard.Andreas Vrahimis - 2013 - British Journal for the History of Philosophy 21 (1):177 - 188.
    In his recent article, titled ‘Royaumont Revisited’, Overgaard challenges Dummett's view that one needs to go as far back as the late nineteenth century in order to discover examples of genuine dialogue between ‘analytic’ and ‘continental’ philosophy. Instead, Overgaard argues that in the 1958 Royaumont colloquium, generally judged as a failed attempt at communication between the two camps, one can find some elements which may be utilized towards re-establishing a dialogue between these two sides. Yet, emphasising this image of Royaumont (...)
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  • La philosophie au xive siècle.Claude Panaccio - 1992 - Dialogue 31 (3):363-.
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  • The Port-Royal Logic's Theory of Argument.Maurice A. Finocchiaro - 1997 - Argumentation 11 (4):393-410.
    This is a critical examination of Antoine Arnauld's Logic or the Art of Thinking (1662), commonly known as the Port-Royal Logic. Rather than reading this work from the viewpoint of post-Fregean formal logic or the viewpoint of seventeenth-century intellectual history, I approach it with the aim of exploring its relationship to that contemporary field which may be labeled informal logic and/or argumentation theory. It turns out that the Port-Royal Logic is a precursor of this current field, or conversely, that this (...)
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  • Fallacies and formal logic in Aristotle.David Hitchcock - 2000 - History and Philosophy of Logic 21 (3):207-221.
    The taxonomy and analysis of fallacies in Aristotle's Sophistical Refutations pre-date the formal logic of his Prior Analytics A4-6. Of the 64 fully described examples of ?sophistical refutations? which are fallacious because they are only apparently valid, 49 have the wrong number of premisses or the wrong form of premiss or conclusion for analysis by the Prior Analytics theory of the categorical syllogism. The rest Aristotle either frames so that they do not look like categorical syllogisms or analyses in a (...)
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  • Whose Aristotle? Which Aristotelianism? A Historical Prolegomenon to Thomas Farrell’s Norms of Rhetorical Culture.Carol Poster - 2008 - Philosophy and Rhetoric 41 (4):pp. 375-397.
    In lieu of an abstract, here is a brief excerpt of the content:Whose Aristotle? Which Aristotelianism? A Historical Prolegomenon to Thomas Farrell’s Norms of Rhetorical CultureCarol PosterThe description of various works of logical and rhetorical theory as “Aristotelian,” although far from unusual, is not particularly informative, because it assumes, incorrectly, that there is some ultimate singular Aristotle being imitated by all authors who consider themselves, or who are labeled by others, Aristotelian. In fact, there never has been an interpretation of (...)
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  • (1 other version)Future Logic: Categorical and Conditional Deduction and Induction of the Natural, Temporal, Extensional, and Logical Modalities.Avi Sion - 1990 - Geneva, Switzerland: CreateSpace & Kindle; Lulu..
    Future Logic is an original, and wide-ranging treatise of formal logic. It deals with deduction and induction, of categorical and conditional propositions, involving the natural, temporal, extensional, and logical modalities. Traditional and Modern logic have covered in detail only formal deduction from actual categoricals, or from logical conditionals (conjunctives, hypotheticals, and disjunctives). Deduction from modal categoricals has also been considered, though very vaguely and roughly; whereas deduction from natural, temporal and extensional forms of conditioning has been all but totally ignored. (...)
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  • Peirce, logic diagrams, and the elementary operations of reasoning.P. N. Johnson-Laird - 2002 - Thinking and Reasoning 8 (1):69 – 95.
    This paper describes Peirce's systems of logic diagrams, focusing on the so-called ''existential'' graphs, which are equivalent to the first-order predicate calculus. It analyses their implications for the nature of mental representations, particularly mental models with which they have many characteristics in common. The graphs are intended to be iconic, i.e., to have a structure analogous to the structure of what they represent. They have emergent logical consequences and a single graph can capture all the different ways in which a (...)
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  • (1 other version)Insolubles.Paul Vincent Spade - 2008 - Stanford Encyclopedia of Philosophy.
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  • Aristotle on the uses of dialectic.Robin Smith - 1993 - Synthese 96 (3):335 - 358.
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  • Proclus and the neoplatonic syllogistic.John N. Martin - 2001 - Journal of Philosophical Logic 30 (3):187-240.
    An investigation of Proclus' logic of the syllogistic and of negations in the Elements of Theology, On the Parmenides, and Platonic Theology. It is shown that Proclus employs interpretations over a linear semantic structure with operators for scalar negations (hypemegationlalpha-intensivum and privative negation). A natural deduction system for scalar negations and the classical syllogistic (as reconstructed by Corcoran and Smiley) is shown to be sound and complete for the non-Boolean linear structures. It is explained how Proclus' syllogistic presupposes converting the (...)
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  • Completeness of an ancient logic.John Corcoran - 1972 - Journal of Symbolic Logic 37 (4):696-702.
    In previous articles, it has been shown that the deductive system developed by Aristotle in his "second logic" is a natural deduction system and not an axiomatic system as previously had been thought. It was also stated that Aristotle's logic is self-sufficient in two senses: First, that it presupposed no other logical concepts, not even those of propositional logic; second, that it is (strongly) complete in the sense that every valid argument expressible in the language of the system is deducible (...)
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  • Advances in Natural Deduction: A Celebration of Dag Prawitz's Work.Luiz Carlos Pereira & Edward Hermann Haeusler (eds.) - 2012 - Dordrecht, Netherland: Springer.
    This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics in Logic, Linguistics and Theoretical Computer Science. The range of contributions includes material on the extension of natural deduction with higher-order (...)
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  • Categorical Propositions and Existential Import: A Post-modern Perspective.Byeong-Uk Yi - 2021 - History and Philosophy of Logic 42 (4):307-373.
    This article examines the traditional and modern doctrines of categorical propositions and argues that both doctrines have serious problems. While the doctrines disagree about existential imports...
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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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  • Psychology and syllogistic reasoning.N. E. Wetherick - 1989 - Philosophical Psychology 2 (1):111 – 124.
    A theory of syllogistic reasoning is proposed, derived from the medieval doctrine of 'distribution of terms'. This doctrine may or may not furnish an adequate ground for the logic of the syllogism but does appear to illuminate the psychological processes involved. Syllogistic thinking is shown to have its origins in the approach and avoidance behaviour of pre-verbal organisms and, in verbal (human) organisms, to bridge the gap between the intuitive grasp shown by most of us of the validity of simple (...)
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  • Philosophical basis of relatedness logic.Douglas N. Walton - 1979 - Philosophical Studies 36 (2):115 - 136.
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  • Negation as cancellation, and connexive logic.Graham Priest - 1999 - Topoi 18 (2):141-148.
    Of the various accounts of negation that have been offered by logicians in the history of Western logic, that of negation as cancellation is a very distinctive one, quite different from the explosive accounts of modern "classical" and intuitionist logics, and from the accounts offered in standard relevant and paraconsistent logics. Despite its ancient origin, however, a precise understanding of the notion is still wanting. The first half of this paper offers one. Both conceptually and historically, the account of negation (...)
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  • What is context for? Syntax in a non-abstract world.Tom Sgouros - 2005 - Journal of Logic, Language and Information 14 (2):235-251.
    An explanation for the uncertain progress of formalist linguistics is sought in an examination of the concept of syntax. The idea of analyzing language formally was made possible by developments in 20th century logic. It has been pointed out by many that the analogy between natural language and a formal system may be imperfect, but the objection made here is that the very concept of syntax, when applied to any non-abstract system of communication, is flawed as it is commonly used. (...)
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  • From Paradoxicality to Paradox.Ming Hsiung - 2024 - Erkenntnis 89 (7):2545-2569.
    In various theories of truth, people have set forth many definitions to clarify in what sense a set of sentences is paradoxical. But what, exactly, is _a_ paradox per se? It has not yet been realized that there is a gap between ‘being paradoxical’ and ‘being a paradox’. This paper proposes that a paradox is a minimally paradoxical set meeting some closure property. Along this line of thought, we give five tentative definitions based upon the folk notion of paradoxicality implied (...)
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  • The art of fugue.Marvin Bram - 2002 - Semiotica 2002 (141).
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  • Generic planning: Research results and applications. [REVIEW]John N. Warfield - 1990 - Knowledge, Technology & Policy 3 (4):91-113.
    Older approaches to planning lack the capacity to be responsive to complexity. A new philosophy supporting a new mode of practice could improve significantly the capacity of society to cope with complexity in design, planning, and policy making. The new philosophy and practice must be generic; in other words, it must be divorced in its philosophy and approach from any particular kind of planning activity. It must emphasize the capacity to enhance the work of groups in designing new conceptual structures (...)
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  • (2 other versions)Entity and antinomy in tibetan bsdus grwa logic.Margaret Goldberg - 1985 - Journal of Indian Philosophy 13 (3):273-304.
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  • On Frege’s Begriffsschrift Notation for Propositional Logic: Design Principles and Trade-Offs.Dirk Schlimm - 2017 - History and Philosophy of Logic 39 (1):53-79.
    Well over a century after its introduction, Frege's two-dimensional Begriffsschrift notation is still considered mainly a curiosity that stands out more for its clumsiness than anything else. This paper focuses mainly on the propositional fragment of the Begriffsschrift, because it embodies the characteristic features that distinguish it from other expressively equivalent notations. In the first part, I argue for the perspicuity and readability of the Begriffsschrift by discussing several idiosyncrasies of the notation, which allow an easy conversion of logically equivalent (...)
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  • Erhard Weigel’s Contributions to the Formation of Symbolic Logic.Maarten Bullynck - 2013 - History and Philosophy of Logic 34 (1):25-34.
    The aspects of Erhard Weigel's Analysis Aristotelica ex Euclide restituta that foreshadowed and helped form some characteristics of symbolic logic are highlighted: first, the idea of a pure form of a logical syllogism or of a mathematical proof and, second, a tentative arithmetisation of some aspects of logic. Also, Weigel's emphasis on the role of symbols and figures in the process of mathematical proof is discussed.
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  • Richard whately and the rise of modern logic.James Van Evra - 1984 - History and Philosophy of Logic 5 (1):1-18.
    Despite its basically syllogistic character, Richard Whately's Elements of logic presents the subject in a modern theoretical setting. Whately, for instance, regarded logic as an abstract science, and defined the syllogism as a purely formal device to be used as a means of determining the validity of all arguments. In this paper, I argue that such instances of abstractive ascent place Whately's theory in closer proximity to later 19th-century developments than to the work of his 17th-century predecessors. In addition to (...)
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  • The concept of relevance and the logic diagram tradition.Jan Dejnožka - 2010 - Logica Universalis 4 (1):67-135.
    What is logical relevance? Anderson and Belnap say that the “modern classical tradition [,] stemming from Frege and Whitehead-Russell, gave no consideration whatsoever to the classical notion of relevance.” But just what is this classical notion? I argue that the relevance tradition is implicitly most deeply concerned with the containment of truth-grounds, less deeply with the containment of classes, and least of all with variable sharing in the Anderson–Belnap manner. Thus modern classical logicians such as Peirce, Frege, Russell, Wittgenstein, and (...)
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