Results for 'SCHOLASTIC LOGIC'

958 found
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  1. Multiple Generality in Scholastic Logic.Boaz Faraday Schuman - 2022 - Oxford Studies in Medieval Philosophy 10:215-282.
    Multiple generality has long been known to cause confusion. For example, “Everyone has a donkey that is running” has two readings: either (i) there is a donkey, owned by everyone, and it is running; or (ii) everyone owns some donkey or other, and all such donkeys run. Medieval logicians were acutely aware of such ambiguities, and the logical problems they pose, and sought to sort them out. One of the most ambitious undertakings in this regard is a pair of massive (...)
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  2. Late scholastic probable arguments and their contrast with rhetorical and demonstrative arguments.James Franklin - 2022 - Philosophical Inquiries 10 (2).
    Aristotle divided arguments that persuade into the rhetorical (which happen to persuade), the dialectical (which are strong so ought to persuade to some degree) and the demonstrative (which must persuade if rightly understood). Dialectical arguments were long neglected, partly because Aristotle did not write a book about them. But in the sixteenth and seventeenth century late scholastic authors such as Medina, Cano and Soto developed a sound theory of probable arguments, those that have logical and not merely psychological force (...)
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  3. Logical Objectivity and Second Intentions.Joseph P. Li Vecchi - 2014 - Angelicum 91 (4):795-812.
    The Fregean tradition promotes a conception of logic as being independent from all psychological acts of the knowing subject. Without questioning logic's status as a paradigm of objectivity the present essay rejects this conception, both on logical grounds and in light of the scholastic theory of intentionality. Finding fault with two key doctrines of the analytic movement, the linguistic turn and anti-psychologism, it reinterprets them to exclude only psychological acts that engender subjective interpretive variability. It then describes (...)
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  4. A Logic to End Controversies: The Genesis of Clauberg’s Logica Vetus et Nova.Andrea Strazzoni - 2013 - Journal of Early Modern Studies 2 (2):123-149.
    This article provides an analysis of Johannes Clauberg’s intentions in writing his Logica vetus et nova (1654, 1658). Announced before his adherence to Cartesianism, his Logica was eventually developed in order to provide Cartesian philosophy with a Scholastic form, embodying a complete methodology for the academic disciplines based on Descartes’ rules and a medicina mentis against philosophical prejudices. However, this was not its only function: thanks to the rules for the interpretation of philosophical texts it encompassed, Clauberg’s Logica was (...)
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  5. Scriptural logic: Diagrams for a postcritical metaphysics.Peter Ochs - 1995 - Modern Theology 11 (1):65-92.
    You ask if metaphysics is possible after modernity, or after Barth and Wittgenstein and Derrida and the critique of foundationalism? May I invite you, by way of response, to listen in on a conversation? It is a dialogue between what I will call a postcritical philosopher ("P") and a postcritical scriptural theologian —— I'll label the latter a "textualist" ("T"). What I mean by "postcritical" would be displayed as the pattern of inquiry traced by this dialogue. I take the term (...)
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  6. Spinoza and the Logical Limits of Mental Representation.Galen Barry - 2019 - Journal of Modern Philosophy 1 (1):5.
    This paper examines Spinoza’s view on the consistency of mental representation. First, I argue that he departs from Scholastic tradition by arguing that all mental states—whether desires, intentions, beliefs, perceptions, entertainings, etc.—must be logically consistent. Second, I argue that his endorsement of this view is motivated by key Spinozistic doctrines, most importantly the doctrine that all acts of thought represent what could follow from God’s nature. Finally, I argue that Spinoza’s view that all mental representation is consistent pushes him (...)
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  7. IThree Learning Model (ITLM) to improve Scholastic Performance- A Case Study.Gururaj Itagi - 2021 - International Journal of Case Studies in Business, IT, and Education (IJCSBE) 5 (1):50-60.
    This manuscript introduces I-Three Learning Model (ITLM) intervention to build competency among scholastically backward children by facilitating easy input, processing and output of information. Child receives information through sensory pathways, learning ability is the capacity of the children to collect, process, retain and retrieve information. Children are unique in mental maturity and learning ability. The reasoning is influenced by the auditory, visual, kinaesthetic and tactile inputs. The competency of children with poor social and emotional skills, learning adjustment and academic performance (...)
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  8. Epistemic Sophisms, Calculatores and John Mair’s Circle.Miroslav Hanke - 2022 - Noctua 9 (3):89-131.
    This paper focuses on the early sixteenth-century epistemic logic developed by John Mair’s circle and discusses iterated epistemic modalities, epistemic closure and Bradwardinian semantics related to the logic of epistemic statements. These topics are addressed as part of setting up and solving epistemic sophisms based on traditional scenarios which can be traced back to fourteenth-century British epistemic logic. While the ultimate source for the debate appears to be the second chapter of William Heytesbury’s Regule solvendi sophismata, the (...)
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  9. Quintilian's Theory of Certainty and Its Afterlife in Early Modern Italy.Charles McNamara - 2016 - Dissertation, Columbia University
    This dissertation explores how antiquity and some of its early modern admirers understand the notion of certainty, especially as it is theorized in Quintilian's Institutio Oratoria, a first-century educational manual for the aspiring orator that defines certainty in terms of consensus. As part of a larger discussion of argumentative strategies, Quintilian turns to the “nature of all arguments,” which he defines as “reasoning which lends credence to what is doubtful by means of what is certain” (ratio per ea quae certa (...)
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  10. The Workings of the Intellect: Mind and Psychology.Gary Hatfield - 1997 - In Patricia A. Easton (ed.), Logic and the Workings of the Mind: The Logic of Ideas and Faculty Psychology in Early Modern Philosophy. pp. 21-45.
    Two stories have dominated the historiography of early modern philosophy: one in which a seventeenth century Age of Reason spawned the Enlightenment, and another in which a skeptical crisis cast a shadow over subsequent philosophy, resulting in ever narrower "limits to knowledge." I combine certain elements common to both into a third narrative, one that begins by taking seriously seventeenth-century conceptions of the topics and methods central to the rise of a "new" philosophy. In this revisionist story, differing approaches to (...)
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  11. Three rules of distribution: one counterexample.John Corcoran - 1987 - Journal of Symbolic Logic 52:886-887.
    This self-contained one page paper produces one valid two-premise premise-conclusion argument that is a counterexample to the entire three traditional rules of distribution. These three rules were previously thought to be generally applicable criteria for invalidity of premise-conclusion arguments. No longer can a three-term argument be dismissed as invalid simply on the ground that its middle is undistributed, for example. The following question seems never to have been raised: how does having an undistributed middle show that an argument's conclusion does (...)
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  12. Die kroatische Philosophie des 19. Jahrhunderts, Čučić und Marković [Croatian philosophy in the 19th century, Čučić and Marković).Srećko Kovač - 2003 - In Jure Zovko (ed.), Kroatische Philosophie im europäischen Kontext. Gardez!. pp. 93-110.
    A brief overview of the main Croatian philosophers of the 19th century is given (regardless of whether they worked in or outside of Croatia). Special attention is paid to Šimun Čučić (logic, metaphysics, ethics) and Franjo pl. Marković (logic, aesthetics). The philosophy of other authors is briefly summarized on the ground of the existing research results.
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  13. Philosophy and Pedagogy in Félix Varela, José de la Luz y Caballero, and Enrique José Varona.Vicente Medina (ed.) - forthcoming - New York: Cambridge University Press.
    In this article, I contend that the three Cuban philosophers/pedagogues of the nineteenth century – Félix Varela y Morales, José de la Luz y Caballero, and Enrique José Varona were responsible for overcoming the teaching of late scholastic at the Royal and Pontifical University of St. Jerome of Havana. Against late scholastic philosophers and pedagogues who preferred syllogistic logic and the authority of tradition over induction, they argued in favor of the latter over the first. Since they (...)
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  14. REVIEW OF 1988. Saccheri, G. Euclides Vindicatus (1733), edited and translated by G. B. Halsted, 2nd ed. (1986), in Mathematical Reviews MR0862448. 88j:01013.John Corcoran - 1988 - MATHEMATICAL REVIEWS 88 (J):88j:01013.
    Girolamo Saccheri (1667--1733) was an Italian Jesuit priest, scholastic philosopher, and mathematician. He earned a permanent place in the history of mathematics by discovering and rigorously deducing an elaborate chain of consequences of an axiom-set for what is now known as hyperbolic (or Lobachevskian) plane geometry. Reviewer's remarks: (1) On two pages of this book Saccheri refers to his previous and equally original book Logica demonstrativa (Turin, 1697) to which 14 of the 16 pages of the editor's "Introduction" are (...)
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  15. Causation, intentionality, and the case for occasionalism.Walter Ott - 2008 - Archiv für Geschichte der Philosophie 90 (2):165-187.
    Despite their influence on later philosophers such as Hume, Malebranche's central arguments for occasionalism remain deeply puzzling. Both the famous ‘no necessary connection’ argument and what I call the epistemic argument include assumptions – e.g., that a true cause is logically necessarily connected to its effect – that seem unmotivated, even in their context. I argue that a proper understanding of late scholastic views lets us see why Malebranche would make this assumption. Both arguments turn on the claim that (...)
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  16. Kant’s World Concept of Philosophy and Cosmopolitanism.Courtney Fugate - 2019 - Archiv für Geschichte der Philosophie 101 (4):535-583.
    The goal of this paper is to better understand Kant’s conception of philosophy as a “world concept”, which is at the heart of the Architectonic of Pure Reason. This is pursued in two major parts. The first evaluates the textual foundation for reading Kant’s world concept of philosophy as cosmopolitanism and concludes that he most probably never himself equated philosophy as a world concept with any form of cosmopolitanism. The second major part of the paper clarifies this concept of philosophy (...)
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  17. Kant on Essence and Nature.Michael Oberst - manuscript
    This paper investigates Kant’s account of “real essence” and of a thing’s “nature”. Notwithstanding their wide negligence in the literature, these concepts belong to the central ones of Kant’s metaphysics. I argue that, on the one hand, Kant is in continuity with the Aristotelian-Scholastic tradition of essence. But, on the other hand, he also follows Locke in distinguishing between “logical” and “real” essence. Contrary to recent attempts of aligning real essence with contemporary approaches to essence, I will defend the (...)
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  18. Essence, Effluence, and Emanation: A Neo-Suarezian Analysis.Andrew Dennis Bassford - 2021 - Studia Neoaristotelica 18 (2):139-186.
    The subject of this essay is propria and their relation to essence. Propria, roughly characterized, are those real properties of a thing which are natural but nonessential to it, and which are said to “flow from” the thing’s essence, where this “flows from” relation is understood to designate a kind of explanatory relation. For example, it is said that Socrates’s risibility flows from his essential humanity; and it is said that salt’s solubility in water flows from the essential natures of (...)
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  19. The Science of Conjecture: Evidence and Probability Before Pascal.James Franklin - 2001 - Baltimore, USA: Johns Hopkins University Press.
    How were reliable predictions made before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? The book examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. Also included are the problem of induction before Hume, design arguments (...)
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  20. A Historical Outline of Byzantine Philosophy.Katelis Viglas - 2006 - Res Cogitans 3 (1):73-105.
    We are going to present a panorama of Byzantine Philosophy. As starting point should be considered the Patristic Thought, which preceded the Byzantine Philosophy and was established in the first centuries A.D. into the Greek-Roman world. It was based on the Old and New Testament, the apostolic teachings, as well as on Judaism and Greek Philosophy. Also, the Ancient Oriental Religions – especially those of the Greek-Roman period, i.e. the Gnosticism- exerted an influence on it. The Patristic Thought and the (...)
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  21. The Method of Kant’s Groundwork of the Metaphysics of Morals: Establishing Moral Metaphysics as a Science.Susan V. H. Castro - 2006 - Dissertation, University of California, Los Angeles
    This dissertation concerns the methodology Kant employs in the first two sections of the Groundwork of the Metaphysics of Morals (Groundwork I-II) with particular attention to how the execution of the method of analysis in these sections contributes to the establishment of moral metaphysics as a science. My thesis is that Kant had a detailed strategy for the Groundwork, that this strategy and Kant’s reasons for adopting it can be ascertained from the Critique of Pure Reason (first Critique) and his (...)
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  22. Hispanic Scholasticism and the Jeffersonian Idea.Millan Zorita - manuscript
    This paper was read at the University of Virginia at the XXXVIII ALDEEU conference of June 2018. -/- The phrase ‘Life, Liberty, and the pursuit of Happiness’ was Thomas Jefferson’s rewriting of Locke’s dictum, ‘Life, Liberty, and the pursuit of Property.’ Locke’s political philosophy speaks of a coming liberal age, engendering the Declaration of Independence. Anglo-Saxon historiography seemed to assure that Locke’s ideas were the autochthonous result of a historical process centered on the Reformation, Cromwellian parliamentary supremacy, and English commercial (...)
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  23. Tying the Double Metaphysics of Johannes Clauberg: Ontosophia and Rational Theology.Andrea Strazzoni - 2014 - In Stefano Caroti & Alberto Siclari (eds.), _Filosofia e religione. Studi in onore di Fabio Rossi_. Raccolti da Stefano Caroti e Alberto Siclari. Firenze-Parma, Torino: E-theca OnLineOpenAccess Edizioni, Università degli Studi di Torino. pp. 156-187.
    The German philosopher Johannes Clauberg (1622–1665) was the first academic teacher who attempted to put the philosophy of René Descartes (1596–1650) at the basis of all disciplines of the traditional curriculum of studies, that is, to establish a Cartesian Scholasticism. To this aim, he developed a first philosophy, i.e. a metaphysics including rational-theological arguments, which was based on Descartes’s Meditationes de prima philosophia (1641). By it, Clauberg attempted to provide philosophy with a foundation, namely with a demonstration of the reliability (...)
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  24. The analytical Thomism of the Cracow circle.Miroslav Vacura - 2011 - Filosoficky Casopis 59 (5):689-705.
    The traditional picture of the development of analytical philosophy, represented especially by such thinkers as G. Frege, G. E. Moore, B. Russell or R. Carnap, whose attitude was generally anti-metaphysical, can, on closer study, be shown to be incomplete. This article treats of the Cracow circle – a group of Polish philosophers among whom are, above all, to be counted J. Salamucha, J. M. Bocheński, J. F. Drewnowski, and B. Sobociński, who were, at the beginning of the twentieth century, fascinated (...)
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  25. L'etica del Novecento. Dopo Nietzsche.Sergio Cremaschi - 2005 - Roma RM, Italia: Carocci.
    TWENTIETH-CENTURY ETHICS. AFTER NIETZSCHE -/- Preface This book tells the story of twentieth-century ethics or, in more detail, it reconstructs the history of a discussion on the foundations of ethics which had a start with Nietzsche and Sidgwick, the leading proponents of late-nineteenth-century moral scepticism. During the first half of the century, the prevailing trends tended to exclude the possibility of normative ethics. On the Continent, the trend was to transform ethics into a philosophy of existence whose self-appointed task was (...)
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  26. John Buridan: Portrait of a Fourteenth-Century Arts Master (review).Joshua P. Hochschild - 2004 - Journal of the History of Philosophy 42 (2):219-220.
    In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 42.2 (2004) 219-220 [Access article in PDF] Jack Zupko. John Buridan: Portrait of a Fourteenth-Century Arts Master. Notre Dame: University of Notre Dame Press, 2003. Pp. xix + 446. Cloth, $70.00. Paper, $40.00. What does the name "John Buridan" call to mind? For many, including medievalists, not much at all—at best, perhaps, a set of apparently unrelated ideas: nominalism; an impetus theory of (...)
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  27. Socrate, Platon şi Aristotel – „creştini înainte de Hristos”?Apostolache Ionita - 2020 - Mitropolia Olteniei 3 (9-12):102-124.
    Socrates, Plato and Aristotle – “Christians before Christ”? -/- The compatibility of ideas and metaphysical concepts, from Antic Philosophy to Christian Apologetic and Patristic Theology from the fist ages gather together many important and commune elements. In the study below, we have try to demonstrate that the most important philosopher of the antic world where “Christians before Christ”. Their ideas about soul, virtue, metaphysic existence and the entity of a single God comes to meet the Holy Gospel of Christ. Starting (...)
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  28.  38
    (1 other version)Metafore, modelli, linguaggio scientifico: il dibattito postempirista.Sergio Volodia Marcello Cremaschi - 1988 - In Virgilio Melchiorre (ed.), Simbolo e conoscenza. Milano: Vita e Pensiero. pp. 31-102.
    I start with a reconstruction of the discussion on the nature of scientific models and on their relationship to metaphors that has taken place in the Anglo-Saxon philosophy of Science starting from the Fifties; the discovery started with Stephen Pepper and Kenneth Burke, reaching Thomas Kuhn, Marx Wartofsky, and George Lakoff via Max Black's and Mary Hesse's interaction view. I argue that Hesse's view has a number of weak points: uncritically accepting Black's idea of "interaction", for keeping too much of (...)
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  29. Johann Eck’s Textbooks as a Continuation of the Oxford Calculators. A Case Study into Sixteenth-Century German Scholasticism.Miroslav Hanke - 2024 - Noctua 11 (1):156-199.
    Johann Eck (1486–1543) has been introduced to modern scholarship as a prominent figure of the pre-Tridentine Counter-Reformation. As part of the curricular transformations of the University of Ingolstadt, he wrote commentaries on logical and scientific works by Aristotle and Peter of Spain. Utilising a variety of sources, the two volumes dedicated to physics and natural philosophy published in 1518 and 1519 were self-contained textbooks including annotated translations of the texts and quaestio-commentaries. These developed the doctrines of the Oxford Calculators mediated (...)
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  30. Apologetica Bisericii Primare.Apostolache Ionita - 2021 - Craiova, România: Mitropolia Olteniei.
    The confessional work of the Church has been from the very beginning a foundation and basis for the Divine Truth. Starting from this real necessity, the Apologetic Theology claims some important research directions, grounded on the Holy Scripture and the Holy Tradition. Given this historical and doctrinal context, we can highlight the next support coordinates of the Christian Apologetics background: “the truth of God’s existence, the reality of the supernatural world and man’s immortality. All of this are, as we can (...)
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  31. “Many Know Much but Do Not Know Themselves”: Self-Knowledge, Humility, and Perfection in the Medieval Affective Contemplative Tradition.Christina Van Dyke - 2018 - Proceedings of the Society for Medieval Logic and Metaphysics 14 (Consciousness and Self-Knowledge):89-106.
    Today, philosophers interested in self-knowledge usually look to the scholastic tradition, where the topic is addressed in a systematic and familiar way. Contemporary conceptions of what medieval figures thought about self-knowledge thus skew toward the epistemological. In so doing, however, they often fail to capture the crucial ethical and theological importance that self-knowledge possesses throughout the Middle Ages. -/- Human beings are not transparent to themselves: in particular, knowing oneself in the way needed for moral progress requires hard and (...)
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  32. Relationship between Female Sex Workers’ Attitude toward Provision of Care and Intention to Exit Street-Level Prostitution in Eldoret Town.Sarah Chepkemboi Busienei & Scholastic Adeli - 2019 - Africa International Journal of Multidisciplinary Research 2 (6).
    Prostitution in Kenya is increasing at a very alarming rate and is posing a danger to the society both morally and economically. Efforts to help female sex workers exit prostitution are categorized by the deficiency appropriate interventions among female sex workers (FSWS). Therefore, the current study sought to determine the relationship between the attitude of female sex workers (FSW) towards provision of care and the intention to exit street level prostitution. The study adopted a descriptive correlational study using a mixed (...)
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  33. The Practice-Based Approach to the Philosophy of Logic.Ben Martin - forthcoming - In Oxford Handbook for the Philosophy of Logic. Oxford University Press.
    Philosophers of logic are particularly interested in understanding the aims, epistemology, and methodology of logic. This raises the question of how the philosophy of logic should go about these enquires. According to the practice-based approach, the most reliable method we have to investigate the methodology and epistemology of a research field is by considering in detail the activities of its practitioners. This holds just as true for logic as it does for the recognised empirical and abstract (...)
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  34. On Woodruff’s Constructive Nonsense Logic.Jonas R. B. Arenhart & Hitoshi Omori - forthcoming - Studia Logica:1-20.
    Sören Halldén’s logic of nonsense is one of the most well-known many-valued logics available in the literature. In this paper, we discuss Peter Woodruff’s as yet rather unexplored attempt to advance a version of such a logic built on the top of a constructive logical basis. We start by recalling the basics of Woodruff’s system and by bringing to light some of its notable features. We then go on to elaborate on some of the difficulties attached to it; (...)
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  35. A Semantic Framework for the Impure Logic of Ground.Louis deRosset - 2024 - Journal of Philosophical Logic 53 (2):463-491.
    There is a curious bifurcation in the literature on ground and its logic. On the one hand, there has been a great deal of work that presumes that logical complexity invariably yields grounding. So, for instance, it is widely presumed that any fact stated by a true conjunction is grounded in those stated by its conjuncts, that any fact stated by a true disjunction is grounded in that stated by any of its true disjuncts, and that any fact stated (...)
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  36. The Conditional in Three-Valued Logic.Jan Sprenger - forthcoming - In Paul Egre & Lorenzo Rossi (eds.), Handbook of Three-Valued Logic. Cambridge, Massachusetts: The MIT Press.
    By and large, the conditional connective in three-valued logic has two different functions. First, by means of a deduction theorem, it can express a specific relation of logical consequence in the logical language itself. Second, it can represent natural language structures such as "if/then'' or "implies''. This chapter surveys both approaches, shows why none of them will typically end up with a three-valued material conditional, and elaborates on connections to probabilistic reasoning.
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  37. Verified completeness in Henkin-style for intuitionistic propositional logic.Huayu Guo, Dongheng Chen & Bruno Bentzen - 2023 - In Bruno Bentzen, Beishui Liao, Davide Liga, Reka Markovich, Bin Wei, Minghui Xiong & Tianwen Xu (eds.), Logics for AI and Law: Joint Proceedings of the Third International Workshop on Logics for New-Generation Artificial Intelligence and the International Workshop on Logic, AI and Law, September 8-9 and 11-12, 2023, Hangzhou. College Publications. pp. 36-48.
    This paper presents a formalization of the classical proof of completeness in Henkin-style developed by Troelstra and van Dalen for intuitionistic logic with respect to Kripke models. The completeness proof incorporates their insights in a fresh and elegant manner that is better suited for mechanization. We discuss details of our implementation in the Lean theorem prover with emphasis on the prime extension lemma and construction of the canonical model. Our implementation is restricted to a system of intuitionistic propositional (...) with implication, conjunction, disjunction, and falsity given in terms of a Hilbert-style axiomatization. As far as we know, our implementation is the first verified Henkin-style proof of completeness for intuitionistic logic following Troelstra and van Dalen's method in the literature. (shrink)
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  38. A few little steps beyond Knuth’s Boolean Logic Table with Neutrosophic Logic: A Paradigm Shift in Uncertain Computation.Florentin Smarandache & Victor Christianto - 2023 - Prospects for Applied Mathematics and Data Analysis 2 (2):22-26.
    The present article delves into the extension of Knuth’s fundamental Boolean logic table to accommodate the complexities of indeterminate truth values through the integration of neutrosophic logic (Smarandache & Christianto, 2008). Neutrosophic logic, rooted in Florentin Smarandache’s groundbreaking work on Neutrosophic Logic (cf. Smarandache, 2005, and his other works), introduces an additional truth value, ‘indeterminate,’ enabling a more comprehensive framework to analyze uncertainties inherent in computational systems. By bridging the gap between traditional boolean operations and the (...)
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  39. New foundations for imperative logic I: Logical connectives, consistency, and quantifiers.Peter B. M. Vranas - 2008 - Noûs 42 (4):529-572.
    Imperatives cannot be true or false, so they are shunned by logicians. And yet imperatives can be combined by logical connectives: "kiss me and hug me" is the conjunction of "kiss me" with "hug me". This example may suggest that declarative and imperative logic are isomorphic: just as the conjunction of two declaratives is true exactly if both conjuncts are true, the conjunction of two imperatives is satisfied exactly if both conjuncts are satisfied—what more is there to say? Much (...)
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  40. On the logic of the ontological argument.Paul E. Oppenheimer & Edward N. Zalta - 1991 - Philosophical Perspectives 5:509-529.
    In this paper, the authors show that there is a reading of St. Anselm's ontological argument in Proslogium II that is logically valid (the premises entail the conclusion). This reading takes Anselm's use of the definite description "that than which nothing greater can be conceived" seriously. Consider a first-order language and logic in which definite descriptions are genuine terms, and in which the quantified sentence "there is an x such that..." does not imply "x exists". Then, using an ordinary (...)
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  41. Molecularity in the Theory of Meaning and the Topic Neutrality of Logic.Bernhard Weiss & Nils Kürbis - 2024 - In Antonio Piccolomini D'Aragona (ed.), Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction. Springer Verlag. pp. 187-209.
    Without directly addressing the Demarcation Problem for logic—the problem of distinguishing logical vocabulary from others—we focus on distinctive aspects of logical vocabulary in pursuit of a second goal in the philosophy of logic, namely, proposing criteria for the justification of logical rules. Our preferred approach has three components. Two of these are effectively Belnap’s, but with a twist. We agree with Belnap’s response to Prior’s challenge to inferentialist characterisations of the meanings of logical constants. Belnap argued that for (...)
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  42. Non-reflexive Nonsense: Proof-Theory for Paracomplete Weak Kleene Logic.Bruno Da Ré, Damian Szmuc & María Inés Corbalán - forthcoming - Studia Logica:1-17.
    Our aim is to provide a sequent calculus whose external consequence relation coincides with the three-valued paracomplete logic `of nonsense' introduced by Dmitry Bochvar and, independently, presented as the weak Kleene logic K3W by Stephen C. Kleene. The main features of this calculus are (i) that it is non-reflexive, i.e., Identity is not included as an explicit rule (although a restricted form of it with premises is derivable); (ii) that it includes rules where no variable-inclusion conditions are attached; (...)
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  43. The Pioneering Proving Methods as Applied in the Warsaw School of Logic – Their Historical and Contemporary Significance.Urszula Wybraniec-Skardowska - 2024 - History and Philosophy of Logic 45 (2):124-141.
    Justification of theorems plays a vital role in any rational human activity. It is indispensable in science. The deductive method of justifying theorems is used in all sciences and it is the only method of justifying theorems in deductive disciplines. It is based on the notion of proof, thus it is a method of proving theorems. In the Warsaw School of Logic (WSL) – the famous branch of the Lvov-Warsaw School (LWS) – two types of the method: axiomatic deduction (...)
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  44. Conceptual structure of classical logic.John Corcoran - 1972 - Philosophy and Phenomenological Research 33 (1):25-47.
    One innovation in this paper is its identification, analysis, and description of a troubling ambiguity in the word ‘argument’. In one sense ‘argument’ denotes a premise-conclusion argument: a two-part system composed of a set of sentences—the premises—and a single sentence—the conclusion. In another sense it denotes a premise-conclusion-mediation argument—later called an argumentation: a three-part system composed of a set of sentences—the premises—a single sentence—the conclusion—and complex of sentences—the mediation. The latter is often intended to show that the conclusion follows from (...)
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  45. Modus Ponens and the Logic of Decision.Nate Charlow - 2023 - Journal of Philosophical Logic 52 (3):859-888.
    If modus ponens is valid, then you should take up smoking.
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  46.  89
    HEGEL's PHILOSOPHY OF LOGIC AS A RECKLESS PROLONGATION OF CUSANUS’ LOGICAL DISCOVERIES.Antonino Drago - manuscript
    I take advantage of two recent results: 1) the recognition of an alternative theoretical organization to the deductive-axiomatic one; it is characterized by a sequence of four logical steps belonging to intuitionist logic; 2) the recognition of the logical content of Cusanus’ philosophical works; also this content pertains to intuitionist logic, which Cusanus anticipated by even identifying some its logical laws. Many Cusanus’ books present the alternative theoretical organization; whose yet he did not apply in a clear way (...)
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  47. Base-extension Semantics for Modal Logic.Eckhardt Timo & Pym David - forthcoming - Logic Journal of the IGPL.
    In proof-theoretic semantics, meaning is based on inference. It may be seen as the mathematical expression of the inferentialist interpretation of logic. Much recent work has focused on base-extension semantics, in which the validity of formulas is given by an inductive definition generated by provability in a ‘base’ of atomic rules. Base-extension semantics for classical and intuitionistic propositional logic have been explored by several authors. In this paper, we develop base-extension semantics for the classical propositional modal systems K, (...)
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  48. A Semantics for the Impure Logic of Ground.Louis deRosset & Kit Fine - 2023 - Journal of Philosophical Logic 52 (2):415-493.
    This paper establishes a sound and complete semantics for the impure logic of ground. Fine (Review of Symbolic Logic, 5(1), 1–25, 2012a) sets out a system for the pure logic of ground, one in which the formulas between which ground-theoretic claims hold have no internal logical complexity; and it provides a sound and complete semantics for the system. Fine (2012b) [§§6-8] sets out a system for an impure logic of ground, one that extends the rules of (...)
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  49. Ingarden vs. Meinong on the logic of fiction.Barry Smith - 1980 - Philosophy and Phenomenological Research 41 (1/2):93-105.
    For Meinong, familiarly, fictional entities are not created, but rather merely discovered (or picked out) from the inexhaustible realm of Aussersein (beyond being and non-being). The phenomenologist Roman Ingarden, in contrast, offers in his Literary Work of Art of 1931 a constructive ontology of fiction, which views fictional objects as entities which are created by the acts of an author (as laws, for example, are created by acts of parliament). We outline the logic of fiction which is implied by (...)
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  50. Conservatively extending classical logic with transparent truth.David Ripley - 2012 - Review of Symbolic Logic 5 (2):354-378.
    This paper shows how to conservatively extend classical logic with a transparent truth predicate, in the face of the paradoxes that arise as a consequence. All classical inferences are preserved, and indeed extended to the full (truth—involving) vocabulary. However, not all classical metainferences are preserved; in particular, the resulting logical system is nontransitive. Some limits on this nontransitivity are adumbrated, and two proof systems are presented and shown to be sound and complete. (One proof system allows for Cut—elimination, but (...)
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