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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 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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  • Axioms for deliberative stit.Ming Xu - 1998 - Journal of Philosophical Logic 27 (5):505-552.
    Based on a notion of "companions to stit formulas" applied in other papers dealing with astit logics, we introduce "choice formulas" and "nested choice formulas" to prove the completeness theorems for dstit logics in a language with the dstit operator as the only non-truth-functional operator. The main logic discussed in this paper is the basic logic of dstit with multiple agents, other logics discussed include the basic logic of dstit with a single agent and some logics of dstit with multiple (...)
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  • Propositional q-logic.Stefan Wölfl - 2002 - Journal of Philosophical Logic 31 (5):387-414.
    Topic of the paper is Q-logic - a logic of agency in its temporal and modal context. Q-logic may be considered as a basal logic of agency since the most important stitoperators discussed in the literature can be defined or axiomatized easily within its semantical and syntactical framework. Its basic agent dependent operator, the Q-operator (also known as Δ- or cstit-operator), which has been discussed independently by E v. Kutschera and B. E Chellas, is investigated here in respect of its (...)
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  • Anselm’s Logic of Agency.Sara L. Uckelman - 2009 - History of Philosophy & Logical Analysis 12 (1):248-268.
  • A Formal Characterisation of Hamblin’s Action-State Semantics.Chris Reed & Timothy J. Norman - 2007 - Journal of Philosophical Logic 36 (4):415 - 448.
    Hamblin's Action-State Semantics provides a sound philosophical foundation for understanding the character of the imperative. Taking this as our inspiration, in this paper we present a logic of action, which we call ST, that captures the clear ontological distinction between being responsible for the achievement of a state of affairs and being responsible for the performance of an action. We argue that a relativised modal logic of type RT founded upon a ternary relation over possible worlds integrated with a basic (...)
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  • A Formal Characterisation of Hamblin’s Action-State Semantics.Chris Reed & Timothy J. Norman - 2007 - Journal of Philosophical Logic 36 (4):415-448.
    Hamblin’s Action-State Semantics provides a sound philosophical foundation for understanding the character of the imperative. Taking this as our inspiration, in this paper we present a logic of action, which we call ST, that captures the clear ontological distinction between being responsible for the achievement of a state of affairs and being responsible for the performance of an action. We argue that a relativised modal logic of type RT founded upon a ternary relation over possible worlds integrated with a basic (...)
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  • The Logic of Action and Control.Leona Mollica - 2023 - Journal of Philosophical Logic 52 (5):1237-1268.
    In this paper I propose and motivate a logic of the interdefined concepts of making true and control, understood as intensional propositional operators to be indexed to an agent. While bearing a resemblance to earlier logics in the tradition, the motivations, semantics, and object language theory differ on crucial points. Applying this logic to widespread formal theories of agency, I use it as a framework to argue against the ubiquitous assumption that the strongest actions or options available to a given (...)
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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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