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  1. Nuel Belnap on Indeterminism and Free Action.Thomas Müller (ed.) - 2014 - Wien, Austria: Springer.
    This volume seeks to further the use of formal methods in clarifying one of the central problems of philosophy: that of our free human agency and its place in our indeterministic world. It celebrates the important contributions made in this area by Nuel Belnap, American logician and philosopher. Philosophically, indeterminism and free action can seem far apart, but in Belnap’s work, they are intimately linked. This book explores their philosophical interconnectedness through a selection of original research papers that build forth (...)
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  • Combinations of Stit and Actions.Ming Xu - 2010 - Journal of Logic, Language and Information 19 (4):485-503.
    We present a simple theory of actions against the background of branching time, based on which we propose two versions of an extended stit theory, one equipped with particular actions and the other with sets of such actions. After reporting some basic results of a formal development of such a theory, we briefly explore its connection to a version of branching ETL.
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  • Combinations of Stit with Ought and Know.Ming Xu - 2015 - Journal of Philosophical Logic 44 (6):851-877.
    This paper presents a short survey of recent developments in stit theories, with an emphasis on combinations of stit and deontic logic, and those of stit and epistemic logic.
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  • Actions as Events.Ming Xu - 2012 - Journal of Philosophical Logic 41 (4):765 - 809.
    We present a theory of actions based on a theory of events in branching time, in which "particular" or "token" actions are taken to be sets of transitions from their initial states to the outcomes. We also present a simple theory of composition of events by which composite events can be formed out of other events. Various kinds of actions, including instantaneous group actions and sequential group actions, are introduced by way of composition, and an extended stit theory of agency (...)
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  • 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 share a common (...)
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  • Two incomplete anti-realist modal epistemic logics.Timothy Williamson - 1990 - Journal of Symbolic Logic 55 (1):297-314.
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  • A logic of goal-directed knowing how.Yanjing Wang - 2018 - Synthese 195 (10):4419-4439.
    In this paper, we propose a decidable single-agent modal logic for reasoning about goal-directed “knowing how”, based on ideas from linguistics, philosophy, modal logic, and automated planning in AI. We first define a modal language to express “I know how to guarantee \ given \” with a semantics based not on standard epistemic models but on labeled transition systems that represent the agent’s knowledge of his own abilities. The semantics is inspired by conformant planning in AI. A sound and complete (...)
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  • Towards a Logic of Rational Agency.Wiebe van der Hoek & Michael Wooldridge - 2003 - Logic Journal of the IGPL 11 (2):135-159.
    Rational agents are important objects of study in several research communities, including economics, philosophy, cognitive science, and most recently computer science and artificial intelligence. Crudely, a rational agent is an entity that is capable of acting on its environment, and which chooses to act in such a way as to further its own best interests. There has recently been much interest in the use of mathematical logic for developing formal theories of such agents. Such theories view agents as practical reasoning (...)
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  • Pooling Modalities and Pointwise Intersection: Semantics, Expressivity, and Dynamics.Frederik Van De Putte & Dominik Klein - 2022 - Journal of Philosophical Logic 51 (3):485-523.
    We study classical modal logics with pooling modalities, i.e. unary modal operators that allow one to express properties of sets obtained by the pointwise intersection of neighbourhoods. We discuss salient properties of these modalities, situate the logics in the broader area of modal logics, establish key properties concerning their expressive power, discuss dynamic extensions of these logics and provide reduction axioms for the latter.
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  • On the logic of cooperation and propositional control.Wiebe van der Hoek & Michael Wooldridge - 2005 - Artificial Intelligence 164 (1-2):81-119.
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  • On agents that have the ability to choose.Wiebe van der Hoek, Bernd van Linder & John-Jules Meyer - 2000 - Studia Logica 66 (1):79-119.
    We demonstrate ways to incorporate nondeterminism in a system designed to formalize the reasoning of agents concerning their abilities and the results of the actions that they may perform. We distinguish between two kinds of nondeterministic choice operators: one that expresses an internal choice, in which the agent decides what action to take, and one that expresses an external choice, which cannot be influenced by the agent. The presence of abilities in our system is the reason why the usual approaches (...)
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  • Arguing about Free Will: Lewis and the Consequence Argument.Danilo Šuster - 2021 - Croatian Journal of Philosophy 21 (63):375-403.
    I explore some issues in the logics and dialectics of practical modalities connected with the Consequence Argument (CA) considered as the best argument for the incompatibility of free will and determinism. According to Lewis (1981) in one of the possible senses of (in)ability, the argument is not valid; however, understood in the other of its possible senses, the argument is not sound. This verdict is based on the assessment of the modal version of the argument, where the crucial notion is (...)
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  • Some Conceptual Aspects of Temporality and the Ability to Possess Rights.Sandeep Sreekumar - 2015 - Ratio Juris 28 (3):330-353.
    Since certain temporal aspects of the relation between duties, rights, and the interests that rights protect have not been fully theorized, a puzzle arises when we come to consider whether and how entities such as members of future generations, fetuses, deceased persons, and unconscious persons are able to possess rights. This paper evolves a unified structure for attributing the ability to possess rights to such entities. It demonstrates that while, under any cogent theory of rights-attributions, rights and duties must be (...)
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  • The Normative/agentive Correspondence. [REVIEW]Ryan Simonelli - 2022 - Journal of Transcendental Philosophy 3 (1):71-101.
    In recent work, Robert Brandom has articulated important connections between the deontic normative statuses of entitlement and commitment and the alethic modal statuses of possibility and necessity. In this paper, I articulate an until now unexplored connection between Brandom’s core normative statuses of entitlement and commitment and the agentive modal statuses of ability and compulsion. These modals have application not only in action, but also in perception and inference, and, in both of these cases, there is a direct mapping between (...)
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  • Getting started: Beginnings in the logic of action.Krister Segerberg - 1992 - Studia Logica 51 (3-4):347 - 378.
    A history of the logic of action is outlined, beginning with St Anselm. Five modern authors are discussed in some detail: von Wright, Fitch, Kanger, Chellas and Pratt.
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  • A dynamic logic of action.Brigitte Penther - 1994 - Journal of Logic, Language and Information 3 (3):169-210.
    The paper presents a logical treatment of actions based on dynamic logic. This approach makes it possible to reflect clearly the differences between static and dynamic elements of the world, a distinction which seems crucial to us for a representation of actions.Starting from propositional dynamic logic a formal system (DLA) is developed, the programs of which are used to model action types. Some special features of this system are: Basic aspects of time are incorporated in DLA as far as they (...)
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  • A logical analysis of instrumentality judgments: means-end relations in the context of experience and expectations.Kees van Berkel, Timothy Lyon & Matteo Pascucci - 2023 - Journal of Philosophical Logic 52 (5):1475 - 1516.
    This article proposes the use of temporal logic for an analysis of instrumentality inspired by the work of G.H. von Wright. The first part of the article contains the philosophical foundations. We discuss von Wright’s general theory of agency and his account of instrumentality. Moreover, we propose several refinements to this framework via rigorous definitions of the core notions involved. In the second part, we develop a logical system called Temporal Logic of Action and Expectations (TLAE). The logic is inspired (...)
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  • Unable to Do the Impossible.Anthony Nguyen - 2020 - Mind 129 (514):585-602.
    Jack Spencer has recently argued for the striking thesis that, possibly, an agent is able to do the impossible—that is, perform an action that is metaphysically impossible for that person to perform. Spencer bases his argument on (Simple G), a case in which it is impossible for an agent G to perform some action but, according to Spencer, G is still intuitively able to perform that action. I reply that we would have to give up at least four action-theoretical principles (...)
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  • Uncompactness of Stit Logics Containing Generalized Refref Conditionals.Ming Xu - 1998 - Notre Dame Journal of Formal Logic 39 (4):485-506.
    In this paper we prove the uncompactness of every stit logic that contains a generalized refref conditional and is a sublogic of the stit logic with refref equivalence, a syntactical condition of uncompactness that covers infinitely many stit logics. This result is established through the uncompactness of every stit logic whose semantic structures contain no chain of busy choice sequences with cardinality , where is any natural number . The basic idea in the proof is to apply the notion of (...)
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  • Adaptive abilities.Erasmus Mayr & Barbara Vetter - 2023 - Philosophical Issues 33 (1):140-154.
    Abilities, in contrast to mere dispositions, propensities, or tendencies, abilities seem to be features of agents that put the agent herself in control. But what is the distinguishing feature of abilities vis‐à‐vis other kinds of powers? Our aim in this paper is to point, in answer to this question, to a crucial feature of abilities that existing accounts have tended to neglect: their adaptivity. Adaptivity is a feature of how abilities are exercised. The main reason for its relative neglect has (...)
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  • Agentive Modals.Matthew Mandelkern, Ginger Schultheis & David Boylan - 2017 - Philosophical Review 126 (3):301-343.
    This essay proposes a new theory of agentive modals: ability modals and their duals, compulsion modals. After criticizing existing approaches—the existential quantificational analysis, the universal quantificational analysis, and the conditional analysis—it presents a new account that builds on both the existential and conditional analyses. On this account, the act conditional analysis, a sentence like ‘John can swim across the river’ says that there is some practically available action that is such that if John tries to do it, he swims across (...)
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  • Ability, modality, and genericity.John Maier - 2018 - Philosophical Studies 175 (2):411-428.
    Accounts of ability in the philosophical literature have tended to be modal ones: claims about an agent’s abilities are understood in terms of what she does in certain non-actual scenarios. In contrast, a prominent account of ability ascriptions in the recent semantics literature appeals to genericity: claims about an agent’s abilities are understood in terms of what she generally manages to do. The latter account resolves some long-standing problems for modal accounts, but encounters problems of its own. I propose a (...)
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  • John Cook Wilson on the indefinability of knowledge.Guy Longworth & Simon Bastian Wimmer - 2022 - European Journal of Philosophy 30 (4):1547-1564.
    Can knowledge be defined? We expound an argument of John Cook Wilson's that it cannot. Cook Wilson's argument connects knowing with having the power to inquire. We suggest that if he is right about that connection, then knowledge is, indeed, indefinable.
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  • Agentive Duality reconsidered.Annina Loets & Julia Zakkou - 2022 - Philosophical Studies 179 (12):3771-3789.
    A growing consensus in the literature on agentive modals has it that ability modals like ‘can’ or ‘able to’ have a _dual_, i.e. interpretations of ‘must’ or ‘cannot but’ which stand to _necessity_ as ability stands to _possibility_. We argue that this thesis (which we call ‘Agentive Duality’) is much more controversial than meets the eye. While Agentive Duality follows from the orthodox possibility analysis of ability given natural assumptions, it sits uneasily with a wide range of alternative proposals which (...)
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  • Neighborhood semantics for logic of knowing how.Yanjun Li & Yanjing Wang - 2021 - Synthese 199 (3-4):8611-8639.
    In this paper, we give an alternative semantics to the non-normal logic of knowing how proposed by Fervari et al., based on a class of Kripke neighborhood models with both the epistemic relations and neighborhood structures. This alternative semantics is inspired by the same quantifier alternation pattern of ∃∀\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\exists \forall $$\end{document} in the semantics of the know-how modality and the neighborhood semantics for the standard modality. We show that this new semantics (...)
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  • How (not) to think about the sense of ‘able’ relevant to free will.Simon Kittle - 2022 - Inquiry: An Interdisciplinary Journal of Philosophy 65 (10):1289-1307.
    This essay is an investigation into the sense of ‘able’ relevant to free will, where free will is understood as requiring the ability to do otherwise. I argue that van Inwagen's recent functional specification of the relevant sense of ‘able’ is flawed, and that explicating the powers involved in free will shall likely require paying detailed attention to the semantics and pragmatics of ‘can’ and ‘able’. Further, I argue that van Inwagen's promise-level ability requirement on free will is too strong. (...)
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  • Ability’s Two Dimensions of Robustness.Sophie Kikkert - 2022 - Proceedings of the Aristotelian Society 122 (3):348-357.
    The actions of able agents are often reliably successful. I argue that their success may be modally robust along two dimensions. The first dimension helps distinguish the exercise of abilities, which requires local control, from lucky success. The second concerns the global availability of acts: agents with the ability to φ can φ across a variety of circumstances. I introduce a framework that captures the two dimensions and their interaction, and show how it bears on a disagreement about the modal (...)
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  • Incompatibilism and ambiguity in the practical modalities.T. Kapitan - 1996 - Analysis 56 (2):102-110.
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  • Ability and cognition: A defense of compatibilism.Tomis Kapitan - 1991 - Philosophical Studies 63 (August):231-43.
    The use of predicate and sentential operators to express the practical modalities -- ability, control, openness, etc. -- has given new life to a fatalistic argument against determinist theories of responsible agency. A familiar version employs the following principle: the consequences of what is unavoidable (beyond one's control) are themselves unavoidable. Accordingly, if determinism is true, whatever happens is the consequence of events in the remote past, or, of such events together with the laws of nature. But laws and the (...)
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  • Minimally Congruential Contexts: Observations and Questions on Embedding E in K.Lloyd Humberstone - 2012 - Notre Dame Journal of Formal Logic 53 (4):581-598.
    Recently, an improvement in respect of simplicity was found by Rohan French over extant translations faithfully embedding the smallest congruential modal logic (E) in the smallest normal modal logic (K). After some preliminaries, we explore the possibility of further simplifying the translation, with various negative findings (but no positive solution). This line of inquiry leads, via a consideration of one candidate simpler translation whose status was left open earlier, to isolating the concept of a minimally congruential context. This amounts, roughly (...)
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  • Means-end relations and a measure of efficacy.Jesse Hughes, Albert Esterline & Bahram Kimiaghalam - 2006 - Journal of Logic, Language and Information 15 (1-2):83-108.
    Propositional dynamic logic (PDL) provides a natural setting for semantics of means-end relations involving non-determinism, but such models do not include probabilistic features common to much practical reasoning involving means and ends. We alter the semantics for PDL by adding probabilities to the transition systems and interpreting dynamic formulas 〈α〉 ϕ as fuzzy predicates about the reliability of α as a means to ϕ. This gives our semantics a measure of efficacy for means-end relations.
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  • The deliberative stit: A study of action, omission, ability, and obligation. [REVIEW]John F. Horty & Nuel Belnap - 1995 - Journal of Philosophical Logic 24 (6):583 - 644.
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  • Action types in stit semantics.John Horty & Eric Pacuit - 2017 - Review of Symbolic Logic 10 (4):617-637.
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  • Agency and obligation.John F. Horty - 1996 - Synthese 108 (2):269 - 307.
    The purpose of this paper is to explore a new deontic operator for representing what an agent ought to do; the operator is cast against the background of a modal treatment of action developed by Nuel Belnap and Michael Perloff, which itself relies on Arthur Prior's indeterministic tense logic. The analysis developed here of what an agent ought to do is based on a dominance ordering adapted from the decision theoretic study of choice under uncertainty to the present account of (...)
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  • On the Axiomatisation of Elgesem's Logic of Agency and Ability.Guido Governatori & Antonino Rotolo - 2005 - Journal of Philosophical Logic 34 (4):403-431.
    In this paper we show that the Hilbert system of agency and ability presented by Dag Elgesem is incomplete with respect to the intended semantics. We argue that completeness result may be easily regained. Finally, we shortly discuss some issues related to the philosophical intuition behind his approach. This is done by examining Elgesem's modal logic of agency and ability using semantics with different flavours.
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  • Generalized Update Semantics.Simon Goldstein - 2019 - Mind 128 (511):795-835.
    This paper explores the relationship between dynamic and truth conditional semantics for epistemic modals. It provides a generalization of a standard dynamic update semantics for modals. This new semantics derives a Kripke semantics for modals and a standard dynamic semantics for modals as special cases. The semantics allows for new characterizations of a variety of principles in modal logic, including the inconsistency of ‘p and might not p’. Finally, the semantics provides a construction procedure for transforming any truth conditional semantics (...)
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  • European Summer Meeting of the Association for Symbolic Logic (Logic Colloquium'88), Padova, 1988.R. Ferro - 1990 - Journal of Symbolic Logic 55 (1):387-435.
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  • Deterministic Chance.Antony Eagle - 2010 - Noûs 45 (2):269 - 299.
    I sketch a new constraint on chance, which connects chance ascriptions closely with ascriptions of ability, and more specifically with 'CAN'-claims. This connection between chance and ability has some claim to be a platitude; moreover, it exposes the debate over deterministic chance to the extensive literature on (in)compatibilism about free will. The upshot is that a prima facie case for the tenability of deterministic chance can be made. But the main thrust of the paper is to draw attention to the (...)
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  • Abilities and Obligations: Lessons from Non-agentive Groups.Stephanie Collins - 2023 - Erkenntnis 88 (8):3375-3396.
    Philosophers often talk as though each ability is held by exactly one agent. This paper begins by arguing that abilities can be held by groups of agents, where the group is not an agent. I provide a new argument for—and a new analysis of—non-agentive groups’ abilities. I then provide a new argument that, surprisingly, obligations are different: non-agentive groups cannot bear obligations, at least not if those groups are large-scale such as ‘humanity’ or ‘carbon emitters.’ This pair of conclusions is (...)
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  • Abilities and Obligations: Lessons from Non-agentive Groups.Stephanie Collins - 2022 - Erkenntnis 88 (8):3375-3396.
    Philosophers often talk as though each ability is held by exactly one agent. This paper begins by arguing that abilities can be held by groups of agents, where the group is not an agent. I provide a new argument for—and a new analysis of—non-agentive groups’ abilities. I then provide a new argument that, surprisingly, obligations are different: non-agentive groups cannot bear obligations, at least not if those groups are large-scale such as ‘humanity’ or ‘carbon emitters.’ This pair of conclusions is (...)
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  • On bringing it about.Brian F. Chellas - 1995 - Journal of Philosophical Logic 24 (6):563 - 571.
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  • Normal bimodal logics of ability and action.Mark A. Brown - 1992 - Studia Logica 51 (3-4):519 - 532.
    The basic bimodal systemK/K can be interpreted as an analysis of the logic of ability developed in [1]. Where in [1] we would express the claimI can bring it about that P using the formula, with its non-normal operator, we will now use the formula. Here is a normal alethic possibilitation operator.is a normal necessitation operator, but it is independent of, and not subject to an alethic interpretation. Rather, is interpreted to meanI bring it about that P. The result is (...)
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  • A logic of comparative obligation.Mark A. Brown - 1996 - Studia Logica 57 (1):117 - 137.
    Normal systems of modal logic, interpreted as deontic logics, are unsuitable for a logic of conflicting obligations. By using modal operators based on a more complex semantics, however, we can provide for conflicting obligations, as in [9], which is formally similar to a fragment of the logic of ability later given in [2], Having gone that far, we may find it desirable to be able to express and consider claims about the comparative strengths, or degrees of urgency, of the conflicting (...)
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  • 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 classically equivalent to two (...)
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  • The logic of resources and capabilities.Marta Bílková, Giuseppe Greco, Alessandra Palmigiano, Apostolos Tzimoulis & Nachoem Wijnberg - 2018 - Review of Symbolic Logic 11 (2):371-410.
    We introduce the logic LRC, designed to describe and reason about agents’ abilities and capabilities in using resources. The proposed framework bridges two—up to now—mutually independent strands of literature: the one on logics of abilities and capabilities, developed within the theory of agency, and the one on logics of resources, motivated by program semantics. The logic LRC is suitable to describe and reason about key aspects of social behaviour in organizations. We prove a number of properties enjoyed by LRC and (...)
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  • Krister Segerberg on Logic of Actions.Robert Trypuz (ed.) - 2013 - Dordrecht, Netherland: Springer Verlag.
    Belief revision from the point of view of doxastic logic. Logic Journal of the IGPL, 3(4), 535–553. Segerberg, K. (1995). Conditional action. In G. Crocco, L. Fariñas, & A. Herzig (Eds.), Conditionals: From philosophy to computer science, Studies ...
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  • Abilities.John Maier - 2010 - Stanford Encyclopedia of Philosophy.
    In the accounts we give of one another, claims about our abilities appear to be indispensable. Some abilities are so widespread that many who have them take them for granted, such as the ability to walk, or to write one's name, or to tell a hawk from a handsaw. Others are comparatively rare and notable, such as the ability to hit a Major League fastball, or to compose a symphony, or to tell an elm from a beech. In either case, (...)
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  • Axiomatizing norms across time and the 'Paradox of the Court'.Daniela Glavaničová & Matteo Pascucci - 2021 - In Fenrong Liu, Alessandra Marra, Paul Portner & Frederik Van de Putte (eds.), Deontic Logic and Normative Systems. Proceedings of DEON 2020/2021. College Publications. pp. 201-218.
    In normative reasoning one typically refers to intervals of time across which norms are intended to hold, as well as to alternative possibilities representing hypothetical developments of a given scenario. Thus, deontic modalities are naturally intertwined with temporal and metaphysical ones. Furthermore, contemporary debates in philosophy suggest that a proper understanding of fundamental ethical principles, such as the Ought-Implies-Can thesis, requires a simultaneous analysis of these three families of concepts. In the present article we propose a general formal framework which (...)
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  • Chance, ability, and control.Matthew Mandelkern - manuscript
    A compelling, and popular, thought is that ability entails control: S’s being able to φ entails that φ be, in some sense, in S’s control. But this intuition is inconsistent with a different prima facie compelling thought: that S’s succeeding in φ-ing entails that S is able to φ. In this paper, I introduce a new form of evidence to help adjudicate between these two theses: namely, probability judgments about ability ascriptions. I argue that these judgments provide evidence in favor (...)
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  • The modal logic of agency.Dag Elgesem - 1997 - Nordic Journal of Philosophical Logic 2:1-46.
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