Misleading higher-order evidence, conflicting ideals, and defeasible logic, forthcoming in Ergo: An Open Access Journal of Philosophy.
Thinking about misleading higher-order evidence naturally leads to a puzzle about epistemic rationality: If one’s total evidence can be radically misleading regarding itself, then two widely-accepted requirements of rationality come into conflict, suggesting that there are rational dilemmas. This paper focuses on an often misunderstood and underexplored response to this (and similar) puzzles, the so-called conflicting-ideals view. Drawing on work from defeasible logic, I propose understanding this view as a move away from the default metaepistemological position according to which rationality requirements are strict and governed by a strong, but never explicitly stated logic, toward the more unconventional view, according to which requirements are defeasible and governed by a comparatively weak logic. When understood this way, the response is not committed to dilemmas.
A curious dialogical logic and its composition problem (2014), with Sara Uckelman and Jesse Alama, Journal of Philosophical Logic 43(6): 1065–100.
Dialogue semantics for logic are two-player logic games between a Proponent who puts forward a logical formula φ as valid or true and an Opponent who disputes this. An advantage of the dialogical approach is that it is a uniform framework from which different logics can be obtained through only small variations of the basic rules. We introduce the composition problem for dialogue games as the problem of resolving, for a set S of rules for dialogue games, whether the set of S-dialogically valid formulas is closed under modus ponens. Solving the composition problem is fundamental for the dialogical approach to logic; despite its simplicity, it often requires an indirect solution with the help of significant logical machinery such as cut-elimination. Direct solutions to the composition problem can, however, sometimes be had. As an example, we give a set N of dialogue rules which is well-justified from the dialogical point of view, but whose set N of dialogically valid formulas is both non-trivial and non-standard. We prove that the composition problem for N can be solved directly, and introduce a tableaux system for N.
Chapters, Proceeding, and Technical Reports
Deliberating between backward and forward induction reasoning: First steps (2015), with Eric Pacuit, in Ramanujam R. (ed.) Proceedings of the 15th Conference on the Theoretical Aspects of Rationality and Knowledge (TARK XV): 153–61.
Backward and forward induction can be viewed as two styles of reasoning in dynamic games. Since each prescribes taking a different attitude towards the past moves of the other player(s), the strategies they identify as rational are sometimes incompatible. Our goal is to study players who are able to deliberate between backward and forward induction, as well as conditions under which one is superior to the other. This extended abstract is our first step towards this goal. We present an extension of Stalnaker’s game models, in which the players can make “trembling hand” mistakes. This means that when a player observes an unexpected move, she has to figure out whether it is a result of a deliberate choice or a mistake, thereby committing herself to one of the two styles of reasoning.
Logic in Latvia (2013), with Jurģis Šķilters, in Schumann A. (ed.) Logic in Central and Eastern Europe: History, Science and Discourse, University of America Press.
Dialogue games in classical logic (2011), with Jesse Alama and Sara Uckelman, in Giese M. and Kuznets R. (eds.) TABLEAUX 2011: Workshops, Tutorials, and Short Papers, Technical Report IAM-11-002, Universität Bern: 82–6.