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  1. PHILOSOPHY AS NEGATIVE SCIENCE.Steven James Bartlett - manuscript
    Starting with Kant’s undeveloped proposal of a “negative science,” the author describes how philosophy may be developed and strengthened by means of a systematic approach that seeks to identify and eliminate a widespread but seldom recognized form of systemic and propagating conceptual error. ¶¶¶¶¶ -/- The paper builds upon the author’s book, CRITIQUE OF IMPURE REASON: HORIZONS OF POSSIBILITY AND MEANING (Studies in Theory and Behavior, 2021). ¶¶¶¶¶ -/- The author’s purpose is twofold: first, to enable us to recognize the (...)
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  2. Topological Epistemology as Epistemology First.Thomas Mormann - manuscript
    Abstract. The aim of this paper is to sketch a topological epistemology that can be characterized as a knowledge first epistemology. For this purpose, the standard topological semantics for knowledge in terms of the interior kernel operator K of a topological space is extended to a topological semantics of belief operators B in a new way. It is shown that a topological structure has a kind of “derivation” (its “assembly” or “lattice of nuclei”) that defines a profusion of belief operators (...)
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  3. The Paradox of Epistemic Obligation Avoided.Michael J. Shaffer - 2022 - The Reasoner 16:49-50.
    This short paper offers a skeptical solution to Åqvist's paradox of epistemic obligation. The solution is based on the contention that in SDL/KDT logics the externalist features of knowledge, about which we cannot have obligations, are obscured.
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  4. Human Foreknowledge.Fabrizio Cariani - 2021 - Philosophical Perspectives 35 (1):50-69.
    I explore the motivation and logical consequences of the idea that we have some (limited) ability to know contingent facts about the future, even in presence of the assumption that the future is objectively unsettled or indeterminate. I start by formally characterizing skepticism about the future. This analysis nudges the anti-skeptic towards the idea that if some propositions about the future are objectively indeterminate, then it may be indeterminate whether a suitably positioned agent knows them. -/- Philosophical Perspectives, Volume 35, (...)
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  5. Measuring the Intelligence of an Idealized Mechanical Knowing Agent.Samuel Alexander - 2020 - Lecture Notes in Computer Science 12226.
    We define a notion of the intelligence level of an idealized mechanical knowing agent. This is motivated by efforts within artificial intelligence research to define real-number intelligence levels of compli- cated intelligent systems. Our agents are more idealized, which allows us to define a much simpler measure of intelligence level for them. In short, we define the intelligence level of a mechanical knowing agent to be the supremum of the computable ordinals that have codes the agent knows to be codes (...)
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  6. Self-Referential Theories.Samuel A. Alexander - 2020 - Journal of Symbolic Logic 85 (4):1687-1716.
    We study the structure of families of theories in the language of arithmetic extended to allow these families to refer to one another and to themselves. If a theory contains schemata expressing its own truth and expressing a specific Turing index for itself, and contains some other mild axioms, then that theory is untrue. We exhibit some families of true self-referential theories that barely avoid this forbidden pattern.
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  7. Outline of a Logic of Knowledge of Acquaintance.Samuele Iaquinto & Giuseppe Spolaore - 2019 - Analysis 79 (1):52-61.
    The verb ‘to know’ can be used both in ascriptions of propositional knowledge and ascriptions of knowledge of acquaintance. In the formal epistemology literature, the former use of ‘know’ has attracted considerable attention, while the latter is typically regarded as derivative. This attitude may be unsatisfactory for those philosophers who, like Russell, are not willing to think of knowledge of acquaintance as a subsidiary or dependent kind of knowledge. In this paper we outline a logic of knowledge of acquaintance in (...)
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  8. Vagueness and Imprecise Credence.Anna Mahtani - 2019 - In Richard Dietz (ed.), Vagueness and Rationality in Language Use and Cognition. Springer Verlag. pp. 7-30.
    In this paper I investigate an alternative to imprecise probabilism. Imprecise probabilism is a popular revision of orthodox Bayesianism: while the orthodox Bayesian claims that a rational agent’s belief-state can be represented by a single credence function, the imprecise probabilist claims instead that a rational agent’s belief-state can be represented by a set of such functions. The alternative that I put forward in this paper is to claim that the expression ‘credence’ is vague, and then apply the theory of supervaluationism (...)
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  9. On Formal Aspects of the Epistemic Approach to Paraconsistency.Walter Carnielli, Marcelo E. Coniglio & Abilio Rodrigues - 2018 - In Max Freund, Max Fernandez de Castro & Marco Ruffino (eds.), Logic and Philosophy of Logic: Recent Trends in Latin America and Spain. London: College Publications. pp. 48-74.
    This paper reviews the central points and presents some recent developments of the epistemic approach to paraconsistency in terms of the preservation of evidence. Two formal systems are surveyed, the basic logic of evidence (BLE) and the logic of evidence and truth (LET J ), designed to deal, respectively, with evidence and with evidence and truth. While BLE is equivalent to Nelson’s logic N4, it has been conceived for a different purpose. Adequate valuation semantics that provide decidability are given for (...)
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  10. 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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  11. A Dynamic Epistemic Logic with a Knowability Principle.Michael Cohen - 2015 - In Logic, Rationality, and Interaction. LORI 2015. Lecture Notes in Computer Science. Berlin: Springer. pp. 406-410.
    A dynamic epistemic logic is presented in which the single agent can reason about his knowledge stages before and after announcements. The logic is generated by reinterpreting multi agent private announcements in a single agent environment. It is shown that a knowability principle is valid for such logic: any initially true ϕ can be known after a certain number of announcements.
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