Hyperintensional epistemic justification: a ground-theoretic topic-sensitive semantics

Synthese 205 (3):1-33 (2025)
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Abstract

In recent years the study of topic or subject matter has found application in the analysis of epistemic attitudes such as knowledge and belief. To know or believe φ,\varphi, one needs to grasp φ\varphi ’s topic, i.e. what φ\varphi is about. This yields a hyperintensional treatment of epistemic attitudes: if two necessary equivalent sentences differ in subject matter, they cannot be substituted _salva veritate_ in the context of those attitudes. In this paper, I aim to extend this approach to propositional justification. I argue that, in contrast to epistemic attitudes, having propositional justification for φ\varphi does not require grasping the totality of φ\varphi ’s topic, but only part of it. This is the case because one may possess evidence for φ\varphi even without grasping the totality of φ\varphi ’s topic. I define what it means to be evidence for a proposition, borrowing some notions from the logical grounding literature. Building on extant frameworks modelling evidential support and subject matter, I then put forward a modal clause for propositional justification. Finally, I prove—together with the failure of some undesired principles—a ground-theoretic closure principle for the justification operator and show how it entails closure under Strong Kleene logic.

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Niccolò Rossi
Universitat de Barcelona

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