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Fragmentation and logical omniscience

Noûs 56 (3):716-741 (2022)

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  1. A metalinguistic and computational approach to the problem of mathematical omniscience.Zeynep Soysal - 2022 - Philosophy and Phenomenological Research 106 (2):455-474.
    In this paper, I defend the metalinguistic solution to the problem of mathematical omniscience for the possible-worlds account of propositions by combining it with a computational model of knowledge and belief. The metalinguistic solution states that the objects of belief and ignorance in mathematics are relations between mathematical sentences and what they express. The most pressing problem for the metalinguistic strategy is that it still ascribes too much mathematical knowledge under the standard possible-worlds model of knowledge and belief on which (...)
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  • Conceptual limitations, puzzlement, and epistemic dilemmas.Deigan Michael - 2023 - Philosophical Studies 180 (9):2771-2796.
    Conceptual limitations restrict our epistemic options. One cannot believe, disbelieve, or doubt what one cannot grasp. I show how, even granting an epistemic ought-implies-can principle, such restrictions might lead to epistemic dilemmas: situations where each of one’s options violates some epistemic requirement. An alternative reaction would be to take epistemic norms to be sensitive to one’s options in ways that ensure dilemmas never arise. I propose, on behalf of the dilemmist, that we treat puzzlement as a kind of epistemic residue, (...)
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  • The Logic of Hyperlogic. Part A: Foundations.Alexander W. Kocurek - 2024 - Review of Symbolic Logic 17 (1):244-271.
    Hyperlogic is a hyperintensional system designed to regiment metalogical claims (e.g., “Intuitionistic logic is correct” or “The law of excluded middle holds”) into the object language, including within embedded environments such as attitude reports and counterfactuals. This paper is the first of a two-part series exploring the logic of hyperlogic. This part presents a minimal logic of hyperlogic and proves its completeness. It consists of two interdefined axiomatic systems: one for classical consequence (truth preservation under a classical interpretation of the (...)
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  • The Logic of Hyperlogic. Part B: Extensions and Restrictions.Alexander W. Kocurek - forthcoming - Review of Symbolic Logic:1-28.
    This is the second part of a two-part series on the logic of hyperlogic, a formal system for regimenting metalogical claims in the object language (even within embedded environments). Part A provided a minimal logic for hyperlogic that is sound and complete over the class of all models. In this part, we extend these completeness results to stronger logics that are sound and complete over restricted classes of models. We also investigate the logic of hyperlogic when the language is enriched (...)
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  • Is the wandering mind a planning mind?Frederik T. Junker & Thor Grünbaum - forthcoming - Mind and Language.
    Recent studies on mind‐wandering reveal its potential role in goal exploration and planning future actions. How to understand these explorative functions and their impact on planning remains unclear. Given certain conceptions of intentions and beliefs, the explorative functions of mind‐wandering could lead to regular reconsideration of one's intentions. However, this would be in tension with the stability of intentions central to rational planning agency. We analyze the potential issue of excessive reconsideration caused by mind‐wandering. Our response resolves this tension, presenting (...)
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  • Questions in Action.Daniel Hoek - 2022 - Journal of Philosophy 119 (3):113-143.
    Choices confront us with questions. How we act depends on our answers to those questions. So the way our beliefs guide our choices is not just a function of their informational content, but also depends systematically on the questions those beliefs address. This paper gives a precise account of the interplay between choices, questions and beliefs, and harnesses this account to obtain a principled approach to the problem of deduction. The result is a novel theory of belief-guided action that explains (...)
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  • Foundations for Knowledge-Based Decision Theories.Zeev Goldschmidt - forthcoming - Australasian Journal of Philosophy.
    Several philosophers have proposed Knowledge-Based Decision Theories (KDTs)—theories that require agents to maximize expected utility as yielded by utility and probability functions that depend on the agent’s knowledge. Proponents of KDTs argue that such theories are motivated by Knowledge-Reasons norms that require agents to act only on reasons that they know. However, no formal derivation of KDTs from Knowledge-Reasons norms has been suggested, and it is not clear how such norms justify the particular ways in which KDTs relate knowledge and (...)
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  • Rational Polarization.Kevin Dorst - 2023 - Philosophical Review 132 (3):355-458.
    Predictable polarization is everywhere: we can often predict how people’s opinions, including our own, will shift over time. Extant theories either neglect the fact that we can predict our own polarization, or explain it through irrational mechanisms. They needn’t. Empirical studies suggest that polarization is predictable when evidence is ambiguous, that is, when the rational response is not obvious. I show how Bayesians should model such ambiguity and then prove that—assuming rational updates are those which obey the value of evidence—ambiguity (...)
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  • Fragmentation, metalinguistic ignorance, and logical omniscience.Jens Christian Bjerring & Weng Hong Tang - 2023 - Philosophical Studies 180 (7):2129-2151.
    To reconcile the standard possible worlds model of knowledge with the intuition that ordinary agents fall far short of logical omniscience, a Stalnakerian strategy appeals to two components. The first is the idea that mathematical and logical knowledge is at bottom metalinguistic knowledge. The second is the idea that non-ideal minds are often fragmented. In this paper, we investigate this Stalnakerian reconciliation strategy and argue, ultimately, that it fails. We are not the first to complain about the Stalnakerian strategy. But (...)
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  • The Politics of Language.David Beaver & Jason Stanley - 2023 - Princeton University Press.
    A provocative case for the inherently political nature of language In The Politics of Language, David Beaver and Jason Stanley present a radical new approach to the theory of meaning, offering an account of communication in which political and social identity, affect, and shared practices play as important a role as information. This new view of language, they argue, has dramatic consequences for free speech, democracy, and a range of other areas in which speech plays a central role. Drawing on (...)
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  • Doubt.Luis Rosa - forthcoming - In Kurt Sylvan, Ernest Sosa, Jonathan Dancy & Matthias Steup (eds.), The Blackwell Companion to Epistemology, 3rd edition. Wiley Blackwell.
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  • A Planning Theory of Incoherence in Belief.Sara Aronowitz - forthcoming - In Eric Schwitzgebel & Jonathan Jong (eds.), The Nature of Belief. Oxford University Press.
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