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  1. Rectifying the Mischaracterization of Logic by Mental Model Theorists.Selmer Bringsjord & Naveen Sundar Govindarajulu - 2020 - Cognitive Science 44 (12):e12898.
    Khemlani et al. (2018) mischaracterize logic in the course of seeking to show that mental model theory (MMT) can accommodate a form of inference (, let us label it) they find in a high percentage of their subjects. We reveal their mischaracterization and, in so doing, lay a landscape for future modeling by cognitive scientists who may wonder whether human reasoning is consistent with, or perhaps even capturable by, reasoning in a logic or family thereof. Along the way, we note (...)
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  • Being Deceived: Information Asymmetry in Second‐Order False Belief Tasks.Torben Braüner, Patrick Blackburn & Irina Polyanskaya - 2020 - Topics in Cognitive Science 12 (2):504-534.
    Braüner, Blackburn and Polyanskaya relate children’s being deceived to their theory of mind skills. Second‐order false‐belief tasks are often used to test children’s second‐order theory of mind development. The article gives a logical analysis of the reasoning needed to solve four types of second‐order false belief tasks, distinguished on whether a story character is deceived, and on whether the story hinges on facts in the world changing. The principle of inertia plays an important role. [74].
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  • Analytic Non-Labelled Proof-Systems for Hybrid Logic: Overview and a couple of striking facts.Torben Braüner - 2022 - Bulletin of the Section of Logic 51 (2):143-162.
    This paper is about non-labelled proof-systems for hybrid logic, that is, proofsystems where arbitrary formulas can occur, not just satisfaction statements. We give an overview of such proof-systems, focusing on analytic systems: Natural deduction systems, Gentzen sequent systems and tableau systems. We point out major results and we discuss a couple of striking facts, in particular that nonlabelled hybrid-logical natural deduction systems are analytic, but this is not proved in the usual way via step-by-step normalization of derivations.
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  • Parameterized Complexity of Theory of Mind Reasoning in Dynamic Epistemic Logic.Iris van de Pol, Iris van Rooij & Jakub Szymanik - 2018 - Journal of Logic, Language and Information 27 (3):255-294.
    Theory of mind refers to the human capacity for reasoning about others’ mental states based on observations of their actions and unfolding events. This type of reasoning is notorious in the cognitive science literature for its presumed computational intractability. A possible reason could be that it may involve higher-order thinking. To investigate this we formalize theory of mind reasoning as updating of beliefs about beliefs using dynamic epistemic logic, as this formalism allows to parameterize ‘order of thinking.’ We prove that (...)
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