Results for 'logic and reasoning'

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  1. Logic in knowledge representation and reasoning: Central topics via readings.Luis M. Augusto - manuscript
    Logic has been a—disputed—ingredient in the emergence and development of the now very large field known as knowledge representation and reasoning. In this book (in progress), I select some central topics in this highly fruitful, albeit controversial, association (e.g., non-monotonic reasoning, implicit belief, logical omniscience, closed world assumption), identifying their sources and analyzing/explaining their elaboration in highly influential published work.
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  2. Book of Abstracts: Trends in Logic XVI: Consistency, Contradiction, Paraconsistency and Reasoning.Walter A. Carnielli, Rafael Testa & Juliana Bueno-Soler - 2016 - Campinas, SP, Brasil: CLE-Unicamp.
    “Trends in Logic XVI: Consistency, Contradiction, Paraconsistency, and Reasoning - 40 years of CLE” is being organized by the Centre for Logic, Epistemology and the History of Science at the State University of Campinas (CLEUnicamp) from September 12th to 15th, 2016, with the auspices of the Brazilian Logic Society, Studia Logica and the Polish Academy of Sciences. The conference is intended to celebrate the 40th anniversary of CLE, and is centered around the areas of logic, (...)
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  3. Modulated logics and flexible reasoning.Walter Carnielli & Maria Cláudia C. Grácio - 2008 - Logic and Logical Philosophy 17 (3):211-249.
    This paper studies a family of monotonic extensions of first-order logic which we call modulated logics, constructed by extending classical logic through generalized quantifiers called modulated quantifiers. This approach offers a new regard to what we call flexible reasoning. A uniform treatment of modulated logics is given here, obtaining some general results in model theory. Besides reviewing the “Logic of Ultrafilters”, which formalizes inductive assertions of the kind “almost all”, two new monotonic logical systems are proposed (...)
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  4. The Logic of Reasons.Shyam Nair & John Horty - 2018 - In Daniel Star (ed.), The Oxford Handbook of Reasons and Normativity. New York, NY, United States of America: Oxford University Press. pp. 67-84.
    In this chapter, we begin by sketching in the broadest possible strokes the ideas behind two formal systems that have been introduced with to goal of explicating the ways in which reasons interact to support the actions and conclusions they do. The first of these is the theory of defeasible reasoning developed in the seminal work of Pollock; the second is a more recent theory due to Horty, which adapts and develops the default logic introduced by Reiter to (...)
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  5. Logic or Reason?Penelope Rush - 2012 - Logic and Logical Philosophy 21 (2):127-163.
    This paper explores the question of what logic is not. It argues against the wide spread assumptions that logic is: a model of reason; a model of correct reason; the laws of thought, or indeed is related to reason at all such that the essential nature of the two are crucially or essentially co-illustrative. I note that due to such assumptions, our current understanding of the nature of logic itself is thoroughly entangled with the nature of reason. (...)
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  6. Paraconsistent Logics for Knowledge Representation and Reasoning: advances and perspectives.Walter A. Carnielli & Rafael Testa - 2020 - 18th International Workshop on Nonmonotonic Reasoning.
    This paper briefly outlines some advancements in paraconsistent logics for modelling knowledge representation and reasoning. Emphasis is given on the so-called Logics of Formal Inconsistency (LFIs), a class of paraconsistent logics that formally internalize the very concept(s) of consistency and inconsistency. A couple of specialized systems based on the LFIs will be reviewed, including belief revision and probabilistic reasoning. Potential applications of those systems in the AI area of KRR are tackled by illustrating some examples that emphasizes the (...)
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  7. Logic and Normativity.Elizabeth Olsen - 2012 - Dissertation, University of Otago
    What is the relationship between logic and thought? One view is that logic merely describes how people think. But this view – called 'psychologism' – cannot be quite right. Logic cannot describe how people reason, because although people can reason well, they can also reason badly. The obvious response is to say that logic does not describe how people do think, but rather prescribes how they ought to think. If logic describes how people ought to (...)
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  8. Logical and Moral Aliens Within Us: Kant on Theoretical and Practical Self-Conceit.G. Anthony Bruno - 2023 - In Jens Pier (ed.), Limits of Intelligibility: Issues from Kant and Wittgenstein. London: Routledge.
    This chapter intervenes in recent debates in Kant scholarship about the possibility of a general logical alien. Such an alien is a thinker whose laws of thinking violate ours. She is third-personal as she is radically unlike us. Proponents of the constitutive reading of Kant’s conception of general logic accordingly suggest that Kant rules out the possibility of such an alien as unthinkable. I add to this an often-overlooked element in Kant’s thinking: there is reason to think that he (...)
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  9. ARISTOTELIAN LOGIC AND EUCLIDEAN GEOMETRY.John Corcoran - 2014 - Bulletin of Symbolic Logic 20 (1):131-2.
    John Corcoran and George Boger. Aristotelian logic and Euclidean geometry. Bulletin of Symbolic Logic. 20 (2014) 131. -/- By an Aristotelian logic we mean any system of direct and indirect deductions, chains of reasoning linking conclusions to premises—complete syllogisms, to use Aristotle’s phrase—1) intended to show that their conclusions follow logically from their respective premises and 2) resembling those in Aristotle’s Prior Analytics. Such systems presuppose existence of cases where it is not obvious that the conclusion (...)
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  10. Pure Logic and its Equivalence with the Universe: A Unique Method to Establish the Final Theory.Kai Jiang - 2019 - International Journal of Humanities and Social Sciences 9 (1):45-56.
    The theme of this study is about establishing a purely logical theory about the Universe. Logic is the premier candidate for the reality behind phenomena. If there is a final theory, the Universe must be logic itself, called pure logic, elements of which include not only logic and illogic but also logical and illogical manipulations between them. The kernel is the revised law of the excluded middle: between two basic concepts are four possible manipulations, three logical (...)
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  11. Logic and Constructivism: A Model of Terminological Knowledge.Farshad Badie - 2020 - Journal of Knowledge Structures and Systems 1 (1):23-39.
    This original research hypothesises that the most fundamental building blocks of logical descriptions of cognitive, or knowledge, agents’ descriptions are expressible based on their conceptions (of the world). This article conceptually and logically analyses agents’ conceptions in order to offer a constructivist- based logical model for terminological knowledge. The most significant characteristic of [terminological] knowing is that there are strong interrelationships between terminological knowledge and the individualistic constructed, and to-be-constructed, models of knowledge. Correspondingly, I conceptually and logically analyse conception expressions (...)
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  12. Reasons for Logic, Logic for Reasons: Pragmatics, Semantics, and Conceptual Roles.Ulf Hlobil & Robert B. Brandom - 2024 - New York: Routledge.
    This book presents a philosophical conception of logic -- "logical expressivism"-- according to which the role of logic is to make explicit reason relations, which are often neither monotonic nor transitive. It reveals new perspectives on inferential roles, sequent calculi, representation, truthmakers, and many extant logical theories.
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  13. (1 other version)Logic and social cognition the facts matter, and so do computational models.Rineke Verbrugge - 2009 - Journal of Philosophical Logic 38 (6):649-680.
    This article takes off from Johan van Benthem’s ruminations on the interface between logic and cognitive science in his position paper “Logic and reasoning: Do the facts matter?”. When trying to answer Van Benthem’s question whether logic can be fruitfully combined with psychological experiments, this article focuses on a specific domain of reasoning, namely higher-order social cognition, including attributions such as “Bob knows that Alice knows that he wrote a novel under pseudonym”. For intelligent interaction, (...)
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  14. Pure Logic and Higher-order Metaphysics.Christopher Menzel - 2024 - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press.
    W. V. Quine famously defended two theses that have fallen rather dramatically out of fashion. The first is that intensions are “creatures of darkness” that ultimately have no place in respectable philosophical circles, owing primarily to their lack of rigorous identity conditions. However, although he was thoroughly familiar with Carnap’s foundational studies in what would become known as possible world semantics, it likely wouldn’t yet have been apparent to Quine that he was fighting a losing battle against intensions, due in (...)
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  15.  38
    Intuitionism, Justification Logic, and Doxastic Reasoning.Vincent Alexis Peluce - 2024 - Dissertation, The Graduate Center, City University of New York
    In this Dissertation, we examine a handful of related themes in the philosophy of logic and mathematics. We take as a starting point the deeply philosophical, and—as we argue, deeply Kantian—views of L.E.J. Brouwer, the founder of intuitionism. We examine his famous first act of intuitionism. Therein, he put forth both a critical and a constructive idea. This critical idea involved digging a philosophical rift between what he thought of himself as doing and what he thought of his contemporaries, (...)
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  16. Non classical concept representation and reasoning in formal ontologies.Antonio Lieto - 2012 - Dissertation, Università Degli Studi di Salerno
    Formal ontologies are nowadays widely considered a standard tool for knowledge representation and reasoning in the Semantic Web. In this context, they are expected to play an important role in helping automated processes to access information. Namely: they are expected to provide a formal structure able to explicate the relationships between different concepts/terms, thus allowing intelligent agents to interpret, correctly, the semantics of the web resources improving the performances of the search technologies. Here we take into account a problem (...)
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  17. Deontic Modality in Rationality and Reasoning.Alessandra Marra - 2019 - Dissertation, Tilburg University
    The present dissertation investigates certain facets of the logical structure of oughts – where “ought” is used as a noun, roughly meaning obligation. I do so by following two lines of inquiry. The first part of the thesis places oughts in the context of practical rationality. The second part of the thesis concerns the inference rules governing arguments about oughts, and specifically the inference rule of Reasoning by Cases. These two lines of inquiry, together, aim to expound upon oughts (...)
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  18. The logical and pragmatic structure of arguments from analogy.Fabrizio Macagno - 2017 - Logique Et Analyse 240:465-490.
    The reasoning process of analogy is characterized by a strict interdependence between a process of abstraction of a common feature and the transfer of an attribute of the Analogue to the Primary Subject. The first reasoning step is regarded as an abstraction of a generic characteristic that is relevant for the attribution of the predicate. The abstracted feature can be considered from a logic-semantic perspective as a functional genus, in the sense that it is contextually essential for (...)
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  19. Chrysippus' Modal Logic and Its Relation to Philo and Diodorus.Susanne Bobzien - 1993 - In Klaus Döring & Theodor Ebert (eds.), Dialektiker und Stoiker. Stuttgart: Franz Steiner. pp. 63--84.
    ABSTRACT: The modal systems of the Stoic logician Chrysippus and the two Hellenistic logicians Philo and Diodorus Cronus have survived in a fragmentary state in several sources. From these it is clear that Chrysippus was acquainted with Philo’s and Diodorus’ modal notions, and also that he developed his own in contrast of Diodorus’ and in some way incorporated Philo’s. The goal of this paper is to reconstruct the three modal systems, including their modal definitions and modal theorems, and to make (...)
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  20.  38
    The Role of the Environment in System Creation in Luhmann and Hegel: Between Imagination and Reason (2023 SOPHERE CONFERENCE, NUIG Galway & St. Angela's College).Kevin Michael Stevenson - manuscript
    This paper will aim to accomplish two things to show Luhmann’s and Hegel’s support of language and communication as dependent on culture, but also their differences with respect to how culture is formed in conjunction with the environment. This paper will firstly show how Hegel distinguishes between the imagination and reason in a different manner from Luhmann, as Hegel considers them logically connected while Luhmann considers them as coextensive. Secondly, this paper will show how reason and imagination create culture through (...)
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  21. Logical and Spiritual Reflections.Avi Sion - 2008 - Geneva, Switzerland: CreateSpace & Kindle; Lulu..
    Logical and Spiritual Reflections is a collection of six shorter philosophical works, including: Hume’s Problems with Induction; A Short Critique of Kant’s Unreason; In Defense of Aristotle’s Laws of Thought; More Meditations; Zen Judaism; No to Sodom. Of these works, the first set of three constitutes the Logical Reflections, and the second set constitutes the Spiritual Reflections. Hume’s Problems with Induction, which is intended to describe and refute some of the main doubts and objections David Hume raised with regard to (...)
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  22. Proceedings of the Workshop 'Reasoning about other minds: Logical and cognitive perspectives.J. van Eijck & R. Verbrugge (eds.) - 2011 - WEUR Proceedings.
    In recent years, the human ability to reasoning about mental states of others in order to explain and predict their behavior has come to be a highly active area of research. Researchers from a wide range of fields { from biology and psychology through linguistics to game theory and logic{ contribute new ideas and results. This interdisciplinary workshop, collocated with the Thirteenth International Conference on Theoretical Aspects of Rationality and Knowledge (TARK XIII), aims to shed light on models (...)
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  23. A Modal Logic to Reason about Analogical Proportion.José David García Cruz - 2016 - Studia Metodologiczne 37 (1):73-96.
    A modal logic for representing analogical proportions is presented. This logic is a modal interpretation of H. Prade and G. Richard's homogeneous analogy. A tableaux system is given with some examples an intuitions.
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  24. Logic and the Concept of God.Stanisław Krajewski & Ricardo Sousa Silvestre - 2019 - Journal of Applied Logics 6 (6):999-1005.
    This paper introduces the special issue on the Concept of God of the Journal of Applied Logics (College Publications). The issue contains the following articles: Logic and the Concept of God, by Stanisław Krajewski and Ricardo Silvestre; Mathematical Models in Theology. A Buber-inspired Model of God and its Application to “Shema Israel”, by Stanisław Krajewski; Gödel’s God-like Essence, by Talia Leven; A Logical Solution to the Paradox of the Stone, by Héctor Hernández Ortiz and Victor Cantero; No New Solutions (...)
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  25. Connexivity in the Logic of Reasons.Andrea Iacona - 2023 - Studia Logica 112 (1):325-342.
    This paper discusses some key connexive principles construed as principles about reasons, that is, as principles that express logical properties of sentences of the form ‘p is a reason for q’. Its main goal is to show how the theory of reasons outlined by Crupi and Iacona, which is based on their evidential account of conditionals, yields a formal treatment of such sentences that validates a restricted version of the principles discussed, overcoming some limitations that affect most extant accounts of (...)
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  26. Debunking Arguments: Mathematics, Logic, and Modal Security.Justin Clarke-Doane - 2017 - In Michael Ruse & Robert J. Richards (eds.), The Cambridge Handbook of Evolutionary Ethics. New York: Cambridge University Press.
    I discuss the structure of genealogical debunking arguments. I argue that they undermine our mathematical beliefs if they undermine our moral beliefs. The contrary appearance stems from a confusion of arithmetic truths with (first-order) logical truths, or from a confusion of reliability with justification. I conclude with a discussion of the cogency of debunking arguments, in light of the above. Their cogency depends on whether information can undermine all of our beliefs of a kind, F, without giving us direct reason (...)
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  27. A Logic for Reasoning about Group Norms.Daniele Porello - 2018 - In Jan M. Broersen, Gabriella Pigozzi, Cleo Condoravdi & Shyam Nair (eds.), Deontic Logic and Normative Systems - 14th International Conference, {DEON} 2018, Utrecht, The Netherlands, July 3-6, 2018. pp. 301--315.
    We present a number of modal logics to reason about group norms. As a preliminary step, we discuss the ontological status of the group to which the norms are applied, by adapting the classification made by Christian List of collective attitudes into aggregated, common, and corporate attitudes. Accordingly, we shall introduce modality to capture aggregated, common, and corporate group norms. We investigate then the principles for reasoning about those types of modalities. Finally, we discuss the relationship between group norms (...)
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  28. Dynamic Epistemic Logic and Logical Omniscience.Mattias Skipper Rasmussen - 2015 - Logic and Logical Philosophy 24 (3):377-399.
    Epistemic logics based on the possible worlds semantics suffer from the problem of logical omniscience, whereby agents are described as knowing all logical consequences of what they know, including all tautologies. This problem is doubly challenging: on the one hand, agents should be treated as logically non-omniscient, and on the other hand, as moderately logically competent. Many responses to logical omniscience fail to meet this double challenge because the concepts of knowledge and reasoning are not properly separated. In this (...)
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  29. Reasons, basing, and the normative collapse of logical pluralism.Christopher Blake-Turner - 2021 - Philosophical Studies 178 (12):4099-4118.
    Logical pluralism is the view that there is more than one correct logic. A key objection to logical pluralism is that it collapses into monism. The core of the Collapse Objection is that only the pluralist’s strongest logic does any genuine normative work; since a logic must do genuine normative work, this means that the pluralist is really a monist, who is committed to her strongest logic being the one true logic. This paper considers a (...)
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  30. A Decidable Multi-agent Logic for Reasoning About Actions, Instruments, and Norms.Kees van Berkel, Tim Lyon & Francesco Olivieri - 1996 - In Johan van Benthem (ed.), Logic and argumentation. New York: North-Holland. pp. 219 - 241.
    We formally introduce a novel, yet ubiquitous, category of norms: norms of instrumentality. Norms of this category describe which actions are obligatory, or prohibited, as instruments for certain purposes. We propose the Logic of Agency and Norms (LAN) that enables reasoning about actions, instrumentality, and normative principles in a multi-agent setting. Leveraging LAN , we formalize norms of instrumentality and compare them to two prevalent norm categories: norms to be and norms to do. Last, we pose principles relating (...)
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  31. Logic and the Sachverhalt.Barry Smith - 1989 - The Monist 72 (1):52-69.
    Those who conceive logic as a science have generally favoured one of two alternative conceptions as to what the subject-matter of this science ought to be. On the one hand is the nowadays somewhat old-fashioned-seeming view of logic as the science of judgment, or of thinking or reasoning activities in general. On the other hand is the view of logic as a science of ideal meanings, 'thoughts', or 'propositions in themselves'. There is, however, a third alternative (...)
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  32. Logic and Natural Language: Commitments and Constraints.Gil Sagi - 2020 - Disputatio 12 (58):377-408.
    In his new book, Logical Form, Andrea Iacona distinguishes between two different roles that have been ascribed to the notion of logical form: the logical role and the semantic role. These two roles entail a bifurcation of the notion of logical form. Both notions of logical form, according to Iacona, are descriptive, having to do with different features of natural language sentences. I agree that the notion of logical form bifurcates, but not that the logical role is merely descriptive. In (...)
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  33. Jaina Logic and the Philosophical Basis of Pluralism.Jonardon Ganeri - 2002 - History and Philosophy of Logic 23 (4):267-281.
    What is the rational response when confronted with a set of propositions each of which we have some reason to accept, and yet which taken together form an inconsistent class? This was, in a nutshell, the problem addressed by the Jaina logicians of classical India, and the solution they gave is, I think, of great interest, both for what it tells us about the relationship between rationality and consistency, and for what we can learn about the logical basis of philosophical (...)
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  34. Logic and Truth in Religious Belief.Srećko Kovač - 2015 - In Mirosław Szatkowski (ed.), God, Truth, and Other Enigmas. Berlin: De Gruyter. pp. 119-132.
    Logical reasoning is not only a component of religious faith (cf., for instance, the "Golden rule"), but, in addition, the religious faith itself can be conceived as a logical pragmatic function applied to sentences and their meanings. Pragmatic role of religious faith is shown on the examples of the analogy of seed and spoken word (e.g., Mt 13:3-23) and on the degrees of faith described in the episode about Nicodemus (John 3). Pragmatics adds (different grades of) perseverance to the (...)
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  35. Truth-Functional Logic and the Form of a Tractarian Proposition.Oliver Thomas Spinney - 2022 - Public Reason 13 (2):101-105.
    In this paper I argue against Michael Morris’ claim, that the Tractatus view involves holding that the possibility of truth-functional combination is prior to the possibility for sentential constituents to combine with one another. I provide an alternative interpretation in which I deny the presence of any distinction in the Tractatus between these two possibilities. I then turn to Adrian Moore’s ‘disjunctivist’ account of sentencehood, itself inspired by the Tractatus view. I argue that Moore’s account need not involve a commitment (...)
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  36. Automating Agential Reasoning: Proof-Calculi and Syntactic Decidability for STIT Logics.Tim Lyon & Kees van Berkel - 2019 - In M. Baldoni, M. Dastani, B. Liao, Y. Sakurai & R. Zalila Wenkstern (eds.), PRIMA 2019: Principles and Practice of Multi-Agent Systems. Springer. pp. 202-218.
    This work provides proof-search algorithms and automated counter-model extraction for a class of STIT logics. With this, we answer an open problem concerning syntactic decision procedures and cut-free calculi for STIT logics. A new class of cut-free complete labelled sequent calculi G3LdmL^m_n, for multi-agent STIT with at most n-many choices, is introduced. We refine the calculi G3LdmL^m_n through the use of propagation rules and demonstrate the admissibility of their structural rules, resulting in auxiliary calculi Ldm^m_nL. In the single-agent case, we (...)
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  37. Ought-contextualism and reasoning.Darren Bradley - 2021 - Synthese 199 (1-2):2977-2999.
    What does logic tells us how about we ought to reason? If P entails Q, and I believe P, should I believe Q? I will argue that we should embed the issue in an independently motivated contextualist semantics for ‘ought’, with parameters for a standard and set of propositions. With the contextualist machinery in hand, we can defend a strong principle expressing how agents ought to reason while accommodating conflicting intuitions. I then show how our judgments about blame and (...)
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  38. A logic and semantics for imperatives.Ian Williams Goddard - 2008 - Noesis 187:9-19.
    Truth is undefined for imperative statements. However, if imperatives implicitly reference a fact, they can be rephrased as truth­-valuable declaratives explicitly referencing that fact. But are there such facts? Kenny held that any imperative references a set of wishes held by its imperator. I extend his thesis by proposing that imperator wishes are facts implicitly referenced by imperatives and explicitly referencing them yields semantically isomorphic declaratives. I implement this thesis with modal operators for wants and cause with which declarative schemata (...)
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  39. Reasoned Change in Logic.Elijah Chudnoff - forthcoming - In Scott Stapleford, Kevin McCain & Matthias Steup (eds.), Evidentialism at 40: New Arguments, New Angles. Routledge.
    By a reasoned change in logic I mean a change in the logic with which you make inferences that is based on your evidence. An argument sourced in recently published material Kripke lectured on in the 1970s, and dubbed the Adoption Problem by Birman (then Padró) in her 2015 dissertation, challenges the possibility of reasoned changes in logic. I explain why evidentialists should be alarmed by this challenge, and then I go on to dispel it. The Adoption (...)
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  40. A Description Logic Framework for Commonsense Conceptual Combination Integrating Typicality, Probabilities and Cognitive Heuristics.Antonio Lieto & Gian Luca Pozzato - 2019 - Journal of Experimental and Theoretical Artificial Intelligence:1-39.
    We propose a nonmonotonic Description Logic of typicality able to account for the phenomenon of the combination of prototypical concepts. The proposed logic relies on the logic of typicality ALC + TR, whose semantics is based on the notion of rational closure, as well as on the distributed semantics of probabilistic Description Logics, and is equipped with a cognitive heuristic used by humans for concept composition. We first extend the logic of typicality ALC + TR by (...)
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  41. Knowledge of logical generality and the possibility of deductive reasoning.Corine Besson - 2019 - In Anders Nes & Timothy Hoo Wai Chan (eds.), Inference and Consciousness. London: Routledge. pp. 172-196.
    I address a type of circularity threat that arises for the view that we employ general basic logical principles in deductive reasoning. This type of threat has been used to argue that whatever knowing such principles is, it cannot be a fully cognitive or propositional state, otherwise deductive reasoning would not be possible. I look at two versions of the circularity threat and answer them in a way that both challenges the view that we need to apply general (...)
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  42. The Role of Logic and the Scientific Method in Philosophical Inquiry.Avik Mukherjee - 2013 - INDIAN PHILOSOPHICAL CONGRESS 88.
    The clamour for scientific reasoning in philosophy is born out of a belief that scientific reasoning is infallible and universal. This paper argues that while scientific reasoning is infallible, it is so only with regard to the objects of knowledge in science. And because objects of knowledge are not the same across disciplines, claims that scientific reasoning is universal in its application are patently misplaced. -/- The belief in the universality of scientific reasoning has its (...)
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  43. Human reasoning and cognitive science.Keith Stenning & Michiel van Lambalgen - 2008 - Boston, USA: MIT Press.
    In the late summer of 1998, the authors, a cognitive scientist and a logician, started talking about the relevance of modern mathematical logic to the study of human reasoning, and we have been talking ever since. This book is an interim report of that conversation. It argues that results such as those on the Wason selection task, purportedly showing the irrelevance of formal logic to actual human reasoning, have been widely misinterpreted, mainly because the picture of (...)
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  44. Reasoning about Criminal Evidence: Revealing Probabilistic Reasoning Behind Logical Conclusions.Michelle B. Cowley-Cunningham - 2007 - SSRN E-Library Maurer School of Law Law and Society eJournals.
    There are two competing theoretical frameworks with which cognitive sciences examines how people reason. These frameworks are broadly categorized into logic and probability. This paper reports two applied experiments to test which framework explains better how people reason about evidence in criminal cases. Logical frameworks predict that people derive conclusions from the presented evidence to endorse an absolute value of certainty such as ‘guilty’ or ‘not guilty’ (e.g., Johnson-Laird, 1999). But probabilistic frameworks predict that people derive conclusions from the (...)
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  45. Ancient Indian Logic and Analogy.J. B. Paris & A. Vencovska - 2017 - In S. Ghosh & S. Prasad (eds.), Logic and its Applications, Lecture Notes in Computer Science 10119. Springer. pp. 198-210.
    B.K.Matilal, and earlier J.F.Staal, have suggested a reading of the `Nyaya five limb schema' (also sometimes referred to as the Indian Schema or Hindu Syllogism) from Gotama's Nyaya-Sutra in terms of a binary occurrence relation. In this paper we provide a rational justification of a version of this reading as Analogical Reasoning within the framework of Polyadic Pure Inductive Logic.
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  46. A Logical Approach to Reasoning by Analogy.Todd R. Davies & Stuart J. Russell - 1987 - In John P. McDermott (ed.), Proceedings of the 10th International Joint Conference on Artificial Intelligence (IJCAI'87). Morgan Kaufmann Publishers. pp. 264-270.
    We analyze the logical form of the domain knowledge that grounds analogical inferences and generalizations from a single instance. The form of the assumptions which justify analogies is given schematically as the "determination rule", so called because it expresses the relation of one set of variables determining the values of another set. The determination relation is a logical generalization of the different types of dependency relations defined in database theory. Specifically, we define determination as a relation between schemata of first (...)
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  47. A Broomean Model of Rationality and Reasoning.Franz Dietrich, Antonios Staras & Robert Sugden - 2019 - Journal of Philosophy 116 (11):585-614.
    John Broome has developed an account of rationality and reasoning which gives philosophical foundations for choice theory and the psychology of rational agents. We formalize his account into a model that differs from ordinary choice-theoretic models through focusing on psychology and the reasoning process. Within that model, we ask Broome’s central question of whether reasoning can make us more rational: whether it allows us to acquire transitive preferences, consistent beliefs, non-akratic intentions, and so on. We identify three (...)
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  48. Determination, uniformity, and relevance: normative criteria for generalization and reasoning by analogy.Todd R. Davies - 1988 - In T. Davies (ed.), Analogical Reasoning. Kluwer Academic Publishers. pp. 227-250.
    This paper defines the form of prior knowledge that is required for sound inferences by analogy and single-instance generalizations, in both logical and probabilistic reasoning. In the logical case, the first order determination rule defined in Davies (1985) is shown to solve both the justification and non-redundancy problems for analogical inference. The statistical analogue of determination that is put forward is termed 'uniformity'. Based on the semantics of determination and uniformity, a third notion of "relevance" is defined, both logically (...)
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  49. Studying strategies and types of players: experiments, logics and cognitive models.Sujata Ghosh & Rineke Verbrugge - 2018 - Synthese 195 (10):4265-4307.
    How do people reason about their opponent in turn-taking games? Often, people do not make the decisions that game theory would prescribe. We present a logic that can play a key role in understanding how people make their decisions, by delineating all plausible reasoning strategies in a systematic manner. This in turn makes it possible to construct a corresponding set of computational models in a cognitive architecture. These models can be run and fitted to the participants’ data in (...)
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  50. Sound Reasoning : Prospects and Challenges of Current Acoustic Logics.Marc Champagne - 2015 - Logica Universalis 9 (3):331-343.
    Building on the notational principles of C. S. Peirce’s graphical logic, Pietarinen has tried to develop a propositional logic unfolding in the medium of sound. Apart from its intrinsic interest, this project serves as a concrete test of logic’s range. However, I argue that Pietarinen’s inaugural proposal, while promising, has an important shortcoming, since it cannot portray double-negation without thereby portraying a contradiction.
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