14 found
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  1.  30
    From Oughts to Goals: A Logic for Enkrasia.Dominik Klein & Alessandra Marra - 2020 - Studia Logica 108 (1):85-128.
    This paper focuses on the Enkratic principle of rationality, according to which rationality requires that if an agent sincerely and with conviction believes she ought to X, then X-ing is a goal in her plan. We analyze the logical structure of Enkrasia and its implications for deontic logic. To do so, we elaborate on the distinction between basic and derived oughts, and provide a multi-modal neighborhood logic with three characteristic operators: a non-normal operator for basic oughts, a non-normal operator for (...)
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  2. Non-Classical Probabilities for Decision Making in Situations of Uncertainty.Dominik Klein, Ondrej Majer & Soroush Rafiee Rad - 2020 - Roczniki Filozoficzne 68 (4):315-343.
    Nieklasyczne prawdopodobieństwa na potrzeby podejmowania decyzji w sytuacjach niepewności Analiza sytuacji, w których informacja jest częściowa, niepełna bądź niespójna wskazuje na potrzebę zbudowania jakościowych miar siły przekonań odmiennych niż te, które są oferowane przez klasyczną teorię prawdopodobieństwa. W niniejszej pracy porównujemy dwa ujęcia zaproponowane dla realizacji tej potrzeby: teorię Dempstera-Shafera i niestandardową teorię prawdopodobieństwa nabudowaną na logice Belnapa-Dunna. Pokazujemy, że te dwa formalizmy przyjmują ortogonalne perspektywy postrzegania niedostatków informacyjnych, a jednocześnie dostarczają rezultatów częściowo ze sobą korespondujących. Na koniec porównujemy różne (...)
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  3.  4
    Rationality in Context: On Inequality and the Epistemic Problems of Maximizing Expected Utility.Simon Scheller, Johannes Marx & Dominik Klein - 2020 - Synthese 197 (1):209-232.
    The emergence of economic inequality has often been linked to individual differences in mental or physical capacities. By means of an agent-based simulation this paper shows that neither of these is a necessary condition. Rather, inequality can arise from iterated interactions of fully rational agents. This bears consequences for our understanding of both inequality and rationality. In a setting of iterated bargaining games, we claim that expected utility maximizing agents perform suboptimally in comparison with other strategies. The reason for this (...)
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  4. Convergence, Continuity and Recurrence in Dynamic Epistemic Logic.Dominik Klein & Rasmus K. Rendsvig - 2017 - In Alexandru Baltag, Jeremy Seligman & Tomoyuki Yamada (eds.), Logic, Rationality, and Interaction (LORI 2017, Sapporo, Japan). Springer. pp. 108-122.
    The paper analyzes dynamic epistemic logic from a topological perspective. The main contribution consists of a framework in which dynamic epistemic logic satisfies the requirements for being a topological dynamical system thus interfacing discrete dynamic logics with continuous mappings of dynamical systems. The setting is based on a notion of logical convergence, demonstratively equivalent with convergence in Stone topology. Presented is a flexible, parametrized family of metrics inducing the latter, used as an analytical aid. We show maps induced by action (...)
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  5. Mystery and the Evidential Impact of Unexplainables.Matteo Colombo & Dominik Klein - 2018 - Episteme 15 (4):463-475.
    How should the information that a proposition p is a mystery impact your credence in p? To answer this question, we first provide a taxonomy of mysteries; then, we develop a test to distinguish two types of mysteries. When faced with mysteries of the first type, rational epistemic agents should lower their credence in p upon learning that p is a mystery. The same information should not impact agents’ credence in p, when they face mysteries of the second type. Our (...)
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  6.  12
    Changing Types: Information Dynamics for Qualitative Type Spaces.Dominik Klein & Eric Pacuit - 2014 - Studia Logica 102 (2):297-319.
    Many different approaches to describing the players’ knowledge and beliefs can be found in the literature on the epistemic foundations of game theory. We focus here on non-probabilistic approaches. The two most prominent are the so-called Kripkeor Aumann- structures and knowledge structures (non-probabilistic variants of Harsanyi type spaces). Much of the recent work on Kripke structures has focused on dynamic extensions and simple ways of incorporating these. We argue that many of these ideas can be applied to knowledge structures as (...)
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  7.  32
    Knowledge, Belief, Normality, and Introspection.Dominik Klein, Olivier Roy & Norbert Gratzl - 2017 - Synthese 195 (10):4343-4372.
    We study two logics of knowledge and belief stemming from the work of Stalnaker, omitting positive introspection for knowledge. The two systems are equivalent with positive introspection, but not without. We show that while the logic of beliefs remains unaffected by omitting introspection for knowledge in one system, it brings significant changes to the other. The resulting logic of belief is non-normal, and its complete axiomatization uses an infinite hierarchy of coherence constraints. We conclude by returning to the philosophical interpretation (...)
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  8.  31
    Modelling Individual Expertise in Group Judgements.Dominik Klein & Jan Sprenger - 2015 - Economics and Philosophy 31 (1):3-25.
  9.  2
    Pooling Modalities and Pointwise Intersection: Semantics, Expressivity, and Dynamics.Frederik Van De Putte & Dominik Klein - forthcoming - Journal of Philosophical Logic:1-39.
    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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  10.  6
    Probabilities with Gaps and Gluts.Dominik Klein, Ondrej Majer & Soroush Rafiee Rad - 2021 - Journal of Philosophical Logic 50 (5):1107-1141.
    Belnap-Dunn logic, sometimes also known as First Degree Entailment, is a four-valued propositional logic that complements the classical truth values of True and False with two non-classical truth values Neither and Both. The latter two are to account for the possibility of the available information being incomplete or providing contradictory evidence. In this paper, we present a probabilistic extension of BD that permits agents to have probabilistic beliefs about the truth and falsity of a proposition. We provide a sound and (...)
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  11. Logic and Ethics: An Integrated Model for Norms, Intentions and Actions.Alessandra Marra & Dominik Klein - 2015 - In Wiebe van der Hoek, Wesley H. Holliday & Wen-Fang Wang (eds.), Lecture Notes in Computer Science (LNCS) 9394. Springer. pp. 268-281.
    The paper investigates the way norms relate to and affect agents' intentions and actions. Current work in deontic logic dealing with agency mainly falls within two different groups: a variety of frameworks which adopt a purely external approach and represent agency in terms of possible outcomes of actions, and frameworks which instead endorse an internal approach and focus exclusively on the agents' intentions. The paper argues that neither of these models alone can produce a satisfactory analysis. An integrated model which (...)
     
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  12. Focusing on Campaigns.Eric Pacuit & Dominik Klein - 2017 - In Ramaswamy Ramanujam, Lawrence Moss & Can Başkent (eds.), Rohit Parikh on Logic, Language and Society. Springer Verlag.
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  13.  18
    Knowledge, Belief, Normality, and Introspection.Dominik Klein, Olivier Roy & Norbert Gratzl - 2017 - Synthese:1-30.
    We study two logics of knowledge and belief stemming from the work of Stalnaker, omitting positive introspection for knowledge. The two systems are equivalent with positive introspection, but not without. We show that while the logic of beliefs remains unaffected by omitting introspection for knowledge in one system, it brings significant changes to the other. The resulting logic of belief is non-normal, and its complete axiomatization uses an infinite hierarchy of coherence constraints. We conclude by returning to the philosophical interpretation (...)
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  14.  7
    Pooling Modalities and Pointwise Intersection: Axiomatization and Decidability.Frederik Van De Putte & Dominik Klein - 2021 - Studia Logica 109 (1):47-93.
    We establish completeness and the finite model property for logics featuring the pooling modalities that were introduced in Van De Putte and Klein. The definition of our canonical models combines standard techniques with a so-called “puzzle piece construction”, which we first illustrate informally. After that, we apply it to the weakest classical logics with pooling modalities and investigate the technique’s potential for the axiomatization of stronger logics, obtained by imposing well-known frame conditions on the models.
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