Results for 'Logic of joint ability'

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  1. The Logic of Joint Ability in Two-Player Tacit Games.Peter Hawke - 2017 - Review of Symbolic Logic 10 (3):481-508.
    Logics of joint strategic ability have recently received attention, with arguably the most influential being those in a family that includes Coalition Logic (CL) and Alternating-time Temporal Logic (ATL). Notably, both CL and ATL bypass the epistemic issues that underpin Schelling-type coordination problems, by apparently relying on the meta-level assumption of (perfectly reliable) communication between cooperating rational agents. Yet such epistemic issues arise naturally in settings relevant to ATL and CL: these logics are standardly interpreted on (...)
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  2. Sensorimotor accounts of joint attention.Alexander Maye, Carme Isern-Mas, Pamela Barone & John A. Michael - 2017 - Scholarpedia 12 (2):42361.
    Joint attention is a social-cognitive phenomenon in which two or more agents direct their attention together towards the same object. Definitions range from this rather broad conception to more specific definitions which require that, in addition, attention be directed to the same aspect of that object and that agents need to be mutually aware of their jointly attending. Joint attention is an important coordination mechanism in joint action. The capacity for engaging in joint attention, in particular (...)
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  3. Seumas Miller on Knowing-How and Joint Abilities.Yuri Cath - 2020 - Social Epistemology Review and Reply Collective 9:14-21.
    A critical discussion of Seumas Miller's view on knowing-how and joint abilities.
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  4. 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.Bruno Bentzen, Beishui Liao, Davide Liga, Reka Markovich, Bin Wei, Minghui Xiong & Tianwen Xu (eds.) - 2023 - College Publications.
    This comprehensive volume features the proceedings of the Third International Workshop on Logics for New-Generation Artificial Intelligence and the International Workshop on Logic, AI and Law, held in Hangzhou, China on September 8-9 and 11-12, 2023. The collection offers a diverse range of papers that explore the intersection of logic, artificial intelligence, and law. With contributions from some of the leading experts in the field, this volume provides insights into the latest research and developments in the applications of (...)
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  5. The Logic of Conditional Belief.Benjamin Eva - 2020 - Philosophical Quarterly 70 (281):759-779.
    The logic of indicative conditionals remains the topic of deep and intractable philosophical disagreement. I show that two influential epistemic norms—the Lockean theory of belief and the Ramsey test for conditional belief—are jointly sufficient to ground a powerful new argument for a particular conception of the logic of indicative conditionals. Specifically, the argument demonstrates, contrary to the received historical narrative, that there is a real sense in which Stalnaker’s semantics for the indicative did succeed in capturing the (...) of the Ramseyan indicative conditional. (shrink)
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  6. Abduction or the Logic of Surprise.Jaime Nubiola - 2005 - Semiotica 2005 (153 - 1/4):117-130.
    Charles S. Peirce (1839-1914) made relevant contributions to deductive logic, but he was primarily interested in the logic of science, and more especially in what he called 'abduction' (as opposed to deduction and induction), which is the process whereby hypotheses are generated in order to explain the surprising facts. Indeed, Peirce considered abduction to be at the heart not only of scientific research, but of all ordinary human activities. Nevertheless, in spite of Peirce's work and writings in the (...)
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  7. What is the correct logic of necessity, actuality and apriority?Peter Fritz - 2014 - Review of Symbolic Logic 7 (3):385-414.
    This paper is concerned with a propositional modal logic with operators for necessity, actuality and apriority. The logic is characterized by a class of relational structures defined according to ideas of epistemic two-dimensional semantics, and can therefore be seen as formalizing the relations between necessity, actuality and apriority according to epistemic two-dimensional semantics. We can ask whether this logic is correct, in the sense that its theorems are all and only the informally valid formulas. This paper gives (...)
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  8. Epistemic Paradox and the Logic of Acceptance.Michael J. Shaffer - 2013 - Journal of Experimental and Theoretical Artificial Intelligence 25:337-353.
    Paradoxes have played an important role both in philosophy and in mathematics and paradox resolution is an important topic in both fields. Paradox resolution is deeply important because if such resolution cannot be achieved, we are threatened with the charge of debilitating irrationality. This is supposed to be the case for the following reason. Paradoxes consist of jointly contradictory sets of statements that are individually plausible or believable. These facts about paradoxes then give rise to a deeply troubling epistemic problem. (...)
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  9. Introduction to the Logic of Definitions.Barry Smith - 2013 - In International Workshop on Definitions in Ontologies, organized in conjunction with the Fourth International Conference on Biomedical Ontology (ICBO), Montreal, July 7, 2013, (CEUR, 1061). pp. 1-2.
    What follows is a summary of basic principles pertaining to the definitions used in constructing an ontology. A definition is a statement of necessary and sufficient conditions. What this means in the simplest case can be understood as follows. To say that ɸ‐ing is a necessary condition for being an A is just another way of saying that every A ɸ’s; to say that ɸ‐ing is a sufficient condition for being an A is just another way of saying that everything (...)
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  10. The universality of logic: On the connection between rationality and logical ability.Simon J. Evnine - 2001 - Mind 110 (438):335-367.
    I argue for the thesis (UL) that there are certain logical abilities that any rational creature must have. Opposition to UL comes from naturalized epistemologists who hold that it is a purely empirical question which logical abilities a rational creature has. I provide arguments that any creatures meeting certain conditions—plausible necessary conditions on rationality—must have certain specific logical concepts and be able to use them in certain specific ways. For example, I argue that any creature able to grasp theories must (...)
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  11. Unpacking the logic of mathematical statements.Annie Selden - 1995 - Educational Studies in Mathematics 29:123-151.
    This study focuses on undergraduate students' ability to unpack informally written mathematical statements into the language of predicate calculus. Data were collected between 1989 and 1993 from 61students in six small sections of a “bridge" course designed to introduce proofs and mathematical reasoning. We discuss this data from a perspective that extends the notion of concept image to that of statement image and introduces the notion of proof framework to indicate the top-level logical structure of a proof. For simplified (...)
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  12. G.A. Cohen and the Logic of Egalitarian Congruence.David Rondel - 2012 - Socialist Studies 8 (1):82-100.
    In this article, I argue that G. A. Cohen’s defense of the feminist slogan, “The personal is political”, his argument against Rawls’s restriction of principles of justice to the basic structure of society, depends for its intelligibility on the ability to distinguish—with reasonable but perhaps not perfect precision—between those situations in which what Nancy Rosenblum has called “the logic of congruence” is validly invoked and those in which it is not. More importantly, I suggest that the philosophical shape (...)
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  13. The Joint Philosophical Program of Russell and Wittgenstein and Its Demise.Nikolay Milkov - 2013 - Nordic Wittgenstein Review 2 (1):81-105.
    Between April and November 1912, Bertrand Russell and Ludwig Wittgenstein were engaged in a joint philosophical program. Wittgenstein‘s meeting with Gottlob Frege in December 1912 led, however, to its dissolution – the joint program was abandoned. Section 2 of this paper outlines the key points of that program, identifying what Russell and Wittgenstein each contributed to it. The third section determines precisely those features of their collaborative work that Frege criticized. Finally, building upon the evidence developed in the (...)
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  14. Grice and Heidegger on the Logic of Conversation.Chad Engelland - 2020 - In Matt Burch & Irene McMullin (eds.), Transcending Reason: Heidegger on Rationality. London: pp. 171-186.
    What justifies one interlocutor to challenge the conversational expectations of the other? Paul Grice approaches conversation as one instance of joint action that, like all such action, is governed by the Cooperative Principle. He thinks the expectations of the interlocutors must align, although he acknowledges that expectations can and do shift in the course of a conversation through a process he finds strange. Martin Heidegger analyzes discourse as governed by the normativity of care for self and for another. It (...)
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  15. Practical Abilities and Logic Notes on a Pragmatist Approach to Logical Constants.Alessandro Moscaritolo - 2014 - Episteme NS: Revista Del Instituto de Filosofía de la Universidad Central de Venezuela 55 (1):65-83.
    This paper’s aim is to help winnow out some ideas about the role of formal logic in human doings at large. I start by discussing some metaphysical presuppositions of logical theory; specifically, I attempt to work towards a clearer understanding of the role of modalities, together with the notions of meaning and truth, in mainstream logical theory. I then appeal to a modal formal semantics (Brandom, 2007a) in order to outline the cognitive role of logical constants in general. From (...)
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  16. The Reliability Challenge and the Epistemology of Logic.Joshua Schechter - 2010 - Philosophical Perspectives 24 (1):437-464.
    We think of logic as objective. We also think that we are reliable about logic. These views jointly generate a puzzle: How is it that we are reliable about logic? How is it that our logical beliefs match an objective domain of logical fact? This is an instance of a more general challenge to explain our reliability about a priori domains. In this paper, I argue that the nature of this challenge has not been properly understood. I (...)
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  17. The nomic role account of carving reality at the joints.Peter Vallentyne - 1998 - Synthese 115 (2):171-198.
    Natural properties are those that carve reality at the joints. The notion of carving reality at the joints, however, is somewhat obscure, and is often understood in terms of making for similarity, conferring causal powers, or figuring in the laws of nature. I develop and assess an account of the third sort according to which carving reality at the joints is understood as having the right level of determinacy relative to nomic roles. The account has the attraction of involving very (...)
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  18. Does Success Entail Ability?David Boylan - 2021 - Noûs 56 (3):570-601.
    This paper is about the principle that success entails ability, which I call Success. I argue the status of Success is highly puzzling: when we focus on past instances of actually successful action, Success is very compelling; but it is in tension with the idea that true ability claims require an action be in the agent's control. I make the above tension precise by considering the logic of ability. I argue Success is appealing because it is (...)
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  19. Critique of Sarcastic Reason: The Epistemology of the Cognitive Neurological Ability Called “Theory-of-Mind” and Deceptive Reasoning.William Brant - 2012 - Riga, Latvia: Südwestdeutscher Verlag für Hochschulschriften.
    Critique of Sarcastic Reason is a philosophical dissertation that combines several different fields in order to pave the way for those studying sarcasm at the neurobiological, communicative and socio-political levels of analysis where sarcasm appears, respectively, through associated brain activity, between two or more individuals with higher level metabeliefs, and as a method by which political, religious and other social ideologies are attacked (i.e., one form of "biting sarcasm"). The academic disciplines involved in Critique of Sarcastic Reason include social cognitive (...)
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  20. Joint reminiscing as joint attention to the past.Christoph Hoerl & Teresa McCormack - 2005 - In Naomi Eilan, Christoph Hoerl, Teresa McCormack & Johannes Roessler (eds.), Joint Attention: Communication and Other Minds: Issues in Philosophy and Psychology. Oxford: Clarendon Press. pp. 260-286.
    We identify a particular type of causal reasoning ability that we believe is required for the possession of episodic memories, as it is needed to give substance to the distinction between the past and the present. We also argue that the same causal reasoning ability is required for grasping the point that another person's appeal to particular past events can have in conversation. We connect this to claims in developmental psychology that participation in joint reminiscing plays a (...)
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  21. New Prospects for Organizational Democracy? How the Joint Pursuit of Social and Financial Goals Challenges Traditional Organizational Designs.Julie Battilana, Michael Fuerstein & Michael Y. Lee - 2018 - In Subramanian Rangan (ed.), Capitalism Beyond Mutuality?: Perspectives Integrating Philosophy and Social Science. Oxford: Oxford University Press. pp. 256-288.
    Some interesting exceptions notwithstanding, the traditional logic of economic efficiency has long favored hierarchical forms of organization and disfavored democracy in business. What does the balance of arguments look like, however, when values besides efficient revenue production are brought into the picture? The question is not hypothetical: In recent years, an ever increasing number of corporations have developed and adopted socially responsible behaviors, thereby hybridizing aspects of corporate businesses and social organizations. We argue that the joint pursuit of (...)
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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. Coherence as Joint Satisfiability.Samuel Fullhart & Camilo Martinez - forthcoming - Australasian Journal of Philosophy.
    According to many philosophers, rationality is, at least in part, a matter of one’s attitudes cohering with one another. Theorists who endorse this idea have devoted much attention to formulating various coherence requirements. Surprisingly, they have said very little about what it takes for a set of attitudes to be coherent in general. We articulate and defend a general account on which a set of attitudes is coherent just in case and because it is logically possible for the attitudes to (...)
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  24. Logical Form and the Limits of Thought.Manish Oza - 2020 - Dissertation, University of Toronto
    What is the relation of logic to thinking? My dissertation offers a new argument for the claim that logic is constitutive of thinking in the following sense: representational activity counts as thinking only if it manifests sensitivity to logical rules. In short, thinking has to be minimally logical. An account of thinking has to allow for our freedom to question or revise our commitments – even seemingly obvious conceptual connections – without loss of understanding. This freedom, I argue, (...)
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  25. Enhancing the Prediction of Emotionally Intelligent Behavior: The PAT Integrated Framework Involving Trait EI, Ability EI, and Emotion Information Processing.Ashley Vesely Maillefer, Shagini Udayar & Marina Fiori - 2018 - Frontiers in Psychology 9.
    Emotional Intelligence (EI) has been conceptualized in the literature either as a dispositional tendency, in line with a personality trait (trait EI; Petrides and Furnham, 2001), or as an ability, moderately correlated with general intelligence (ability EI; Mayer and Salovey, 1997). Surprisingly, there have been few empirical attempts conceptualizing how the different EI approaches should be related to each other. However, understanding how the different approaches of EI may be interwoven and/or complementary is of primary importance for clarifying (...)
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  26. Fundamentals of Logic, Reasoning, and Argumentation: An evidence-supported curriculum targeting scientific literacy to increase public understanding and engagement in science.La Shun L. Carroll - 2020 - Multidisciplinary Journal for Education, Social and Technological Sciences 7 (1):72-88.
    The purpose of this article is to present an evidence-supported curriculum covering the fundamentals of logic, reasoning, and argumentation skills to address the emphasized basic knowledge, skills, and abilities required to be scientifically literate, which will prepare the public to understand and engage with science meaningfully. An analytic-synthetic approach toward understanding the notion of public is taken using a theoretical biomimetics framework that identifies naturally occurring objects or phenomena that descriptively captures the essence of a construct to facilitate creative (...)
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  27. Note on the Significance of the New Logic.Frederique Janssen-Lauret - 2018 - The Reasoner 6 (12):47-48.
    Brief note explaining the content, importance, and historical context of my joint translation of Quine's The Significance of the New Logic with my single-authored historical-philosophical essay 'Willard Van Orman Quine's Philosophical Development in the 1930s and 1940s'.
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  28. Two Reformulations of the Verificationist Thesis in Epistemic Temporal Logic that Avoid Fitch’s Paradox.Alexandru Dragomir - 2014 - Romanian Journal of Analytic Philosophy 8 (1):44-62.
    1) We will begin by offering a short introduction to Epistemic Logic and presenting Fitch’s paradox in an epistemic‑modal logic. (2) Then, we will proceed to presenting three Epistemic Temporal logical frameworks creat‑ ed by Hoshi (2009) : TPAL (Temporal Public Announcement Logic), TAPAL (Temporal Arbitrary Public Announcement Logic) and TPAL+P ! (Temporal Public Announcement Logic with Labeled Past Operators). We will show how Hoshi stated the Verificationist Thesis in the language of TAPAL and analyze (...)
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  29. A Little More Logical: Reasoning Well About Science, Ethics, Religion, and the Rest of Life.Brendan Shea - 2023 - Rochester, MN: Thoughtful Noodle Books.
    "A Little More Logical" is the perfect guide for anyone looking to improve their critical thinking and logical reasoning skills. With chapters on everything from logic basics to fallacies of weak induction to moral reasoning, this book covers all the essential concepts you need to become a more logical thinker. You'll learn about influential figures in the field of logic, such as Rudolph Carnap, Betrrand Russell, and Ada Lovelace, and how to apply your newfound knowledge to real-world situations. (...)
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  30. Logical Entropy: Introduction to Classical and Quantum Logical Information theory.David Ellerman - 2018 - Entropy 20 (9):679.
    Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets. The resulting notion of information is about distinctions, differences and distinguishability and is formalized using the distinctions of a partition. All the definitions of simple, joint, conditional and mutual entropy of Shannon information theory are derived by a uniform transformation from the corresponding definitions at the logical level. The purpose (...)
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  31. Two puzzles about ability can.Malte Willer - 2020 - Linguistics and Philosophy 44 (3):551-586.
    The received wisdom on ability modals is that they differ from their epistemic and deontic cousins in what inferences they license and better receive a universal or conditional analysis instead of an existential one. The goal of this paper is to sharpen the empirical picture about the semantics of ability modals, and to propose an analysis that explains what makes the can of ability so special but that also preserves the crucial idea that all uses of can (...)
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  32. The possibility of collective moral obligations.Anne Schwenkenbecher - 2020 - In Saba Bazargan-Forward & Deborah Perron Tollefsen (eds.), Routledge Handbook of Collective Responsibility. Routledge. pp. 258-273.
    Our moral obligations can sometimes be collective in nature: They can jointly attach to two or more agents in that neither agent has that obligation on their own, but they – in some sense – share it or have it in common. In order for two or more agents to jointly hold an obligation to address some joint necessity problem they must have joint ability to address that problem. Joint ability is highly context-dependent and particularly (...)
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  33. Electrophysiological connectivity of logical deduction: Early cortical MEG study.Anton Toro Luis F., Salto Francisco, Requena Carmen & Maestu Fernando - 2023 - Cortex 166:365-376.
    Complex human reasoning involves minimal abilities to extract conclusions implied in the available information. These abilities are considered “deductive” because they exemplify certain abstract relations among propositions or probabilities called deductive arguments. However, the electrophysiological dynamics which supports such complex cognitive pro- cesses has not been addressed yet. In this work we consider typically deductive logico- probabilistically valid inferences and aim to verify or refute their electrophysiological functional connectivity differences from invalid inferences with the same content (same relational variables, same (...)
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  34. Testimony as Joint Activity.Nicolas Nicola - 2023 - Dissertation, University of Miami
    Testimony is of epistemic and practical significance. It is of epistemic significance because majority of what we know and believe comes from being told. It is of practical significance because our agency can be undermined, bypassed, or overridden owing to systemic prejudices sustained by oppressive social or cultural practices and subsequently our routes to knowledge are either hindered or distorted. Things get more complicated when we introduce and examine how groups and other collectives testify and are recipients of testimony. For (...)
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  35. The Normativity of Logic in a Psychologistic Framework: Three Approaches.Simone Melis - 2021 - Dissertation, University of Turin
    Contemporary psychologism has been amended for most of the objections by its opponents over a century ago. However, some authors still raise doubts about its ability to account for some peculiar properties of logic. In particular, it is argued that the psychological universality of patterns of inferential behavior is not sufficient to account for the normativity of logic. In this paper, I deal with the issue and offer three alternative solutions that do not rely on mere empirical (...)
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  36. Some Characteristics of the Referential and Inferential Predication in Classical Logic.Nijaz Ibrulj - 2021 - The Logical Foresight 1 (1):1-27.
    In the article we consider the relationship of traditional provisions of basic logical concepts and confront them with new and modern approaches to the same concepts. Logic is characterized in different ways when it is associated with syllogistics (referential – semantical model of logic) or with symbolic logic (inferential – syntactical model of logic). This is not only a difference in the logical calculation of (1) concepts, (2) statements, and (3) predicates, but this difference also appears (...)
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  37. A First-Order Logic Formalization of the Industrial Ontology Foundry Signature Using Basic Formal Ontology.Barry Smith, Farhad Ameri, Hyunmin Cheong, Dimitris Kiritsis, Dusan Sormaz, Chris Will & J. Neil Otte - 2019 - In Barry Smith, Farhad Ameri, Hyunmin Cheong, Dimitris Kiritsis, Dusan Sormaz, Chris Will & J. Neil Otte (eds.), ”, Proceedings of the Joint Ontology Workshops (JOWO), Graz.
    Basic Formal Ontology (BFO) is a top-level ontology used in hundreds of active projects in scientific and other domains. BFO has been selected to serve as top-level ontology in the Industrial Ontologies Foundry (IOF), an initiative to create a suite of ontologies to support digital manufacturing on the part of representatives from a number of branches of the advanced manufacturing industries. We here present a first draft set of axioms and definitions of an IOF upper ontology descending from BFO. The (...)
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  38. Logical Form, the First Person, and Naturalism about Psychology: The Case Against Physicalist Imperialism.Frederique Janssen-Lauret - 2018 - In Manuela Fernandez Pinto, Uskali Mäki & Adrian Walsh (eds.), Scientific Imperialism: Exploring the Boundaries of Interdisciplinarity. Routledge. pp. 237-253.
    Physicalistic theories of psychology are a classic case of scientific imperialism: the explanatory capacity of physics, both with respect to its methods and to its domain, is taken to extend beyond the traditional realm of physics, and into that of psychology. I argue in this paper that this particular imperialistic venture has failed. Contemporary psychology uses methods not modelled on those of physics, embracing first-personal methodology where physics is strictly impersonal. I make the case that whether or not scientific imperialism (...)
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  39. Challenging Logical Monism.Aurna Mukherjee - manuscript
    Logic is loosely regarded as a key factor that drives our decisions. However, logic is actually separated into different systems, such as intuitionistic logic and classical logic. These systems can be explained by different theories, such as logical monism and logical pluralism. This paper aims to challenge logical monism, which posits that only a single logical system adheres to the principles of validity. It explains this on the basis of different systems held as equally strong under (...)
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  40. A puzzle about the fixity of the past.Fabio Lampert - 2022 - Analysis 82 (3):426-434.
    It is a widely held principle that no one is able to do something that would require the past to have been different from how it actually is. This principle of the fixity of the past has been presented in numerous ways, playing a crucial role in arguments for logical and theological fatalism, and for the incompatibility of causal determinism and the ability to do otherwise. I will argue that, assuming bivalence, this principle is in conflict with standard views (...)
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  41. Taking the Self out of Self-Rule.Michael Garnett - 2011 - Ethical Theory and Moral Practice 16 (1):21-33.
    Many philosophers believe that agents are self-ruled only when ruled by their (authentic) selves. Though this view is rarely argued for explicitly, one tempting line of thought suggests that self-rule is just obviously equivalent to rule by the self . However, the plausibility of this thought evaporates upon close examination of the logic of ‘self-rule’ and similar reflexives. Moreover, attempts to rescue the account by recasting it in negative terms are unpromising. In light of these problems, this paper instead (...)
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  42. 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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  43. Extending Dynamic Doxastic Logic: Accommodating Iterated Beliefs And Ramsey Conditionals Within DDL.Sten Lindström & Wiodek Rabinowicz - 1997 - In Jan Odelstad, Lars Lindahl, Paul Needham & Rysiek Sliwi Nski (eds.), For Good Measure.
    In this paper we distinguish between various kinds of doxastic theories. One distinction is between informal and formal doxastic theories. AGM-type theories of belief change are of the former kind, while Hintikka’s logic of knowledge and belief is of the latter. Then we distinguish between static theories that study the unchanging beliefs of a certain agent and dynamic theories that investigate not only the constraints that can reasonably be imposed on the doxastic states of a rational agent but also (...)
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  44. DDL unlimited: Dynamic doxastic logic for introspective agents.Sten Lindström & Wlodek Rabinowicz - 1999 - Erkenntnis 50 (2-3):353-385.
    The theories of belief change developed within the AGM-tradition are not logics in the proper sense, but rather informal axiomatic theories of belief change. Instead of characterizing the models of belief and belief change in a formalized object language, the AGM-approach uses a natural language — ordinary mathematical English — to characterize the mathematical structures that are under study. Recently, however, various authors such as Johan van Benthem and Maarten de Rijke have suggested representing doxastic change within a formal logical (...)
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  45. Logic and Spirituality to Maximus the Confessor.Nichifor Tănase - 2015 - Philotheos 15:134-159.
    Giving justice to Maximus any philosophy wich does not include mysticism will be false as philosophy. Our metaphysics must be mystical in order to be rational. In Maximus’ doctrine, then, Christ comes not to destroy but to fulfill the metaphysics of mystery elaborated by the philosophers. For him there can be no separation between philosophy and theology, or between natural and revealed theology. Thereby, Christology and liturgical mysticism are not additional to a neoplatonic, aristotelian, and other methaphysics. Maximus concern was (...)
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  46. 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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  47. Erkenntnis in Kant’s Logical Works.Curtis Sommerlatte - 2018 - In Violetta L. Waibel, Margit Ruffing & David Wagner (eds.), Natur und Freiheit. Akten des XII. Internationalen Kant-Kongresses. De Gruyter. pp. 1413–1420.
    In this paper, I shed light on Kant’s notion of Erkenntnis or cognition by focusing on texts pertaining to Kant’s thoughts on logic. Although a passage from Kant’s Logik is widely referred to for understanding Kant’s conception of Erkenntnis, this work was not penned by Kant himself but rather compiled by Benjamin Jäsche. So, it is imperative to determine its fidelity to Kant’s thought. I compare the passage with other sources, including Reflexionen and students’ lecture notes. I argue that (...)
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  48. What's wrong with logic?Rani Lill Anjum - 2012 - Argumentos 4 (8).
    The truth functional account of conditional statements ‘if A then B’ is not only inadequate; it eliminates the very conditionality expressed by ‘if’. Focusing only on the truth-values of the statements ‘A’ and ‘B’ and different combinations of these, one is bound to miss out on the conditional relation expressed between them. All approaches that treat conditionals as functions of their antecedents and consequents will end up in some sort of logical atomism where causal matters simply are reduced to the (...)
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  49. Epistemic Friction: An Essay on Knowledge, Truth, and Logic.Gila Sher - 2016 - Oxford: Oxford University Press UK.
    Gila Sher approaches knowledge from the perspective of the basic human epistemic situation—the situation of limited yet resourceful beings, living in a complex world and aspiring to know it in its full complexity. What principles should guide them? Two fundamental principles of knowledge are epistemic friction and freedom. Knowledge must be substantially constrained by the world (friction), but without active participation of the knower in accessing the world (freedom) theoretical knowledge is impossible. This requires a grounding of all knowledge, empirical (...)
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  50. A Deontic Logic for Programming Rightful Machines: Kant’s Normative Demand for Consistency in the Law.Ava Thomas Wright - 2023 - Logics for Ai and Law: Joint Proceedings of the Third International Workshop on Logics for New-Generation Artificial Intelligence (Lingai) and the International Workshop on Logic, Ai and Law (Lail).
    In this paper, I set out some basic elements of a deontic logic with an implementation appropriate for handling conflicting legal obligations for purposes of programming autonomous machine agents. Kantian justice demands that the prescriptive system of enforceable public laws be consistent, yet statutes or case holdings may often describe legal obligations that contradict; moreover, even fundamental constitutional rights may come into conflict. I argue that a deontic logic of the law should not try to work around such (...)
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