Why engage in inquiry? According to many philosophers, the goal of inquiring into some question is to come to know its answer. While this view holds considerable appeal, this paper argues that it stands in tension with another highly attractive thesis: knowledge does not require absolute certainty. Forced to choose between these two theses, I argue that we should reject the idea that inquiry aims at knowledge. I go on to develop an alternative view, according to which inquiry aims at (...) maximizing the epistemic value of our credences. This alternative view makes room for knowledge that falls shy of certainty, and it coheres nicely with a rich body of work in epistemic decision theory. I proceed to highlight the implications of this replacement for some important topics in epistemology, including the dogmatism paradox, the nature of interrogative attitudes, and the norm of practical reasoning. (shrink)

This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...) and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter \textbf{2} argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal and hyperintensional cognitivism and modal and hyperintensional expressivism. I also develop a novel topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel dynamic two-dimensional semantics grounded in two-dimensional hyperintensional Turing machines. Chapter \textbf{3} provides an abstraction principle for epistemic (hyper-)intensions. Chapter \textbf{4} advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter \textbf{5} applies the fixed points of the modal $\mu$-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal $\mu$-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal $\mu$-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter \textbf{6} advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter \textbf{7} provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters \textbf{2} and \textbf{4} are availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. -/- Chapters \textbf{8-12} provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter \textbf{8} examines the interaction between my hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of $\Omega$-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter \textbf{9} examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest, too, that observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter \textbf{10} examines the philosophical significance of hyperintensional $\Omega$-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter \textbf{11} provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter \textbf{12} avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between interpretational and objective modalities and the truthmakers thereof. This yields the first hyperintensional category theory in the literature. I invent a new mathematical trick in which first-order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals in the category of Set in category theory. Chapter \textbf{13} examines modal responses to the alethic paradoxes. I provide a counter-example to epistemic closure for reductio proofs. Chapter \textbf{14} examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (shrink)

This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...) and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter \textbf{2} argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal and hyperintensional cognitivism and modal and hyperintensional expressivism. I also develop a novel topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel dynamic two-dimensional semantics grounded in two-dimensional hyperintensional Turing machines. Chapter \textbf{3} provides an abstraction principle for epistemic (hyper-)intensions. Chapter \textbf{4} advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter \textbf{5} applies the fixed points of the modal $\mu$-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal $\mu$-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal $\mu$-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter \textbf{6} advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter \textbf{7} provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters \textbf{2} and \textbf{4} are availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. -/- Chapters \textbf{8-12} provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter \textbf{8} examines the interaction between my hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of $\Omega$-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter \textbf{9} examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest, too, that observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter \textbf{10} examines the philosophical significance of hyperintensional $\Omega$-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter \textbf{11} provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter \textbf{12} avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between interpretational and objective modalities and the truthmakers thereof. This yields the first hyperintensional category theory in the literature. I invent a new mathematical trick in which first-order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals in the category of Set in category theory. Chapter \textbf{13} examines modal responses to the alethic paradoxes. I provide a counter-example to epistemic closure for reductio proofs. Chapter \textbf{14} examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (shrink)

In this paper, I explore the role for anticipated regret in major life decision-making, focusing on how it is employed by realistic decision-makers in a variety of realistic cases. I argue that the most obvious answers to how regret might matter in decision do not make these cases intelligible, but that we can make them intelligible through consideration of the significance of narrative in our own self-understanding.

The aim of this paper is to defend moral relativism from the accusation that it would make it irrational to classify past changes in public opinion as instances of moral progress, for they would constitute an improvement only from our current point of view. The argument is this. For our assessment of a change in public opinion as an instance of moral progress to be rational, we need to take the moral claims made before the change to be false simpliciter (...) while being open to the possibility that we ourselves change our minds at some point. These two things can be made compatible if we construe moral relativism as taking the truth of moral claims to be relative to the context of assessment. Thus understood, moral relativism is in fact the only view that makes room for talk of moral progress, as the rest of candidate positions make it irrational. (shrink)

An introduction to relativism about truth.

Epistemic modals have peculiar logical features that are challenging to account for in a broadly classical framework. For instance, while a sentence of the form $$p\wedge \Diamond \lnot p$$ (‘p, but it might be that not p’) appears to be a contradiction, $$\Diamond \lnot p$$ does not entail $$\lnot p$$, which would follow in classical logic. Likewise, the classical laws of distributivity and disjunctive syllogism fail for epistemic modals. Existing attempts to account for these facts generally either under- or over-correct. (...) Some theories predict that $$ p\wedge \Diamond \lnot p$$, a so-called epistemic contradiction, is a contradiction only in an etiolated sense, under a notion of entailment that does not always allow us to replace $$p\wedge \Diamond \lnot p$$ with a contradiction; these theories underpredict the infelicity of embedded epistemic contradictions. Other theories savage classical logic, eliminating not just rules that intuitively fail, like distributivity and disjunctive syllogism, but also rules like non-contradiction, excluded middle, De Morgan’s laws, and disjunction introduction, which intuitively remain valid for epistemic modals. In this paper, we aim for a middle ground, developing a semantics and logic for epistemic modals that makes epistemic contradictions genuine contradictions and that invalidates distributivity and disjunctive syllogism but that otherwise preserves classical laws that intuitively remain valid. We start with an algebraic semantics, based on ortholattices instead of Boolean algebras, and then propose a possibility semantics, based on partial possibilities related by compatibility. Both semantics yield the same consequence relation, which we axiomatize. We then show how to lift an arbitrary possible worlds model for a non-modal language to a possibility model for a language with epistemic modals. The goal throughout is to retain what is desirable about classical logic while accounting for the non-classicality of epistemic vocabulary. (shrink)

Expressivists and relativists about epistemic modals often motivate their view by arguing against contextualist treatments of certain cases. However, I argue that even expressivists and relativists should consider being a kind of contextualist. Specifically, data involving mixed disjunctions motivate taking epistemic modals to be sensitive to contextually-salient partitions, and thus context-sensitive.

This is a study in the meaning of natural language probability operators, sentential operators such as probably and likely. We ask what sort of formal structure is required to model the logic and semantics of these operators. Along the way we investigate their deep connections to indicative conditionals and epistemic modals, probe their scalar structure, observe their sensitivity to contex- tually salient contrasts, and explore some of their scopal idiosyncrasies.

This paper defends a counterexample to Modus Tollens, and uses it to draw some conclusions about the logic and semantics of indicative conditionals and probability operators in natural language. Along the way we investigate some of the interactions of these expressions with 'knows', and we call into question the thesis that all knowledge ascriptions have truth-conditions.

I develop a conception of expressivism according to which it is chiefly a pragmatic thesis about some fragment of discourse, one imposing certain constraints on semantics. The first half of the paper uses credal expressivism about the language of probability as a stalking-horse for this purpose. The second half turns to the question of how one might frame an analogous form of expressivism about the language of deontic modality. Here I offer a preliminary comparison of two expressivist lines. The first, (...) expectation expressivism, looks again to Bayesian modelling for inspiration: it glosses deontically modal language as characteristically serving to express decision-theoretic expectation (expected utility). The second, plan expressivism, develops the idea (due to Gibbard 2003) that this language serves to express 'plan-laden' states of belief. In the process of comparing the views, I show how to incorporate Gibbard's modelling ideas into a compositional semantics for attitudes and modals, filling a lacuna in the account. I close with the question whether and how plan expressivism might be developed with expectation-like structure. (shrink)

One of the most important “folk” anti-realist thoughts about certain areas of our thought and discourse—basic taste, for instance, or comedy—is that their lack of objectivity crystallises in the possibility of “faultless disagreements”: situations where one party accepts P, another rejects P, and neither is guilty of any kind of mistake of substance or shortcoming of cognitive process. On close inspection, however, it proves challenging to make coherent sense of this idea, and a majority of theorists have come to reject (...) it as incoherent. There are two significant exceptions in the contemporary literature: relativists often hold it up as something of a coup for their view that it can make straightforward sense of faultless disagreement; and the author of this paper has argued (Wright 2006) that making judicious intuitionistic revisions to classical logic can provide resources that suffice to stabilise the notion. The present paper argues that neither relativism nor intuitionism in fact provides a satisfactory account and indicates how an alethic pluralist framework enables us to do better. (shrink)

Many philosophers think that requirements of rationality are “wide-scope”. That is to say: they are requirements to satisfy some material conditional, such that one counts as satisfying the requirement iff one either makes the conditional’s antecedent false or makes its consequent true. These contrast with narrow-scope requirements, where the requirement takes scope only over the consequent of the conditional. Many of the philosophers who have preferred wide-scope requirements to narrow-scope requirements have also endorsed a corresponding semantic claim, namely that ordinary (...) talk about rationality, despite appearances to the contrary, expresses wide-scope claims. In doing so, they seek to avoid attributing massive error to ordinary speakers. However, it is becoming increasingly clear that the wide-scope semantics inadequately captures the meaning of ordinary talk about rationality. It seems, then, that we are left with a dilemma: either give up the view that requirements of rationality are wide-scope, or accept an implausible semantics for ordinary talk about rationality, or attribute massive error to speakers. In this paper, I argue that this dilemma is only apparent, since we can appeal to a standard kind of contextualist semantics for modals to explain why narrow-scope talk comes out true in virtue of the wide-scope requirements. My view, then, combines wide-scoping about the explanatorily fundamental requirements of rationality with a contextualist variant of a narrow-scope semantics. I argue that this view gives us the best of both worlds, as well as solving related puzzles and challenges for the extant views in the literature. (shrink)

Despite increasing prominence, ‘ought’-contextualism is regarded with suspicion by most metaethicists. As I’ll argue, however, contextualism is a very weak claim, that every metaethicist can sign up to. The real controversy concerns how contextualism is developed. I then draw an oft-overlooked distinction between “parochial” contextualism—on which the contextually-relevant standards are those that the speaker, or others in her environment, subscribe to—and “aspirational” contextualism—on which the contextually-relevant standards are the objective standards for the relevant domain. However, I argue that neither view (...) is acceptable. I suggest an original compromise: “ecumenical contextualism”, on which some uses of ‘ought’ are parochial, others aspirational. Ecumenical contextualism is compatible with realism or antirealism, but either combination yields interesting results. And though it’s a cognitivist view, it is strengthened by incorporating an expressivist insight: for robustly normative usages of ‘ought’, the contextually-relevant standards must be endorsed by the speaker. (shrink)

Epistemic modals are a prominent topic in the literature on natural language semantics, with wide-ranging implications for issues in philosophy of language and philosophical logic. Considerations about the role that epistemic "might" and "must" play in discourse and reasoning have led to the development of several important alternatives to classical possible worlds semantics for natural language modal expressions. This is an opinionated overview of what I take to be some of the most exciting issues and developments in the field.

Every adequate semantics for conditionals and deontic ought must offer a solution to the miners paradox about conditional obligations. Kolodny and MacFarlane have recently argued that such a semantics must reject the validity of modus ponens. I demonstrate that rejecting the validity of modus ponens is inessential for an adequate solution to the paradox.

Sometimes appearances provide epistemic support that gets undercut later. In an earlier paper I argued that standard Bayesian update rules are at odds with this phenomenon because they are ‘rigid’. Here I generalize and bolster that argument. I first show that the update rules of Dempster–Shafer theory and ranking theory are rigid too, hence also at odds with the defeasibility of appearances. I then rebut three Bayesian attempts to solve the problem. I conclude that defeasible appearances pose a more difficult (...) and pervasive challenge for formal epistemology than is currently thought. 1 The Challenge for Bayesianism1.1 Updating and experience1.2 The problem1.3 Objections2 The Challenge for Dempster–Shafer Theory2.1 Background on Dempster–Shafer theory2.2 The problem for Dempster–Shafer theory3 The Challenge for Ranking Theory4 The Appeal to Metacognition5 The Appeal to Richer Inputs6 The Appeal to a Generic Underminer7 Conclusion. (shrink)

Moti Mizrahi (2013) presents some novel counterexamples to Hypothetical Syllogism (HS) for indicative conditionals. I show that they are not compelling as they neglect the complicated ways in which conditionals and modals interact. I then briefly outline why HS should nevertheless be rejected.

The debate over Hypothetical Syllogism is locked in stalemate. Although putative natural language counterexamples to Hypothetical Syllogism abound, many philosophers defend Hypothetical Syllogism, arguing that the alleged counterexamples involve an illicit shift in context. The proper lesson to draw from the putative counterexamples, they argue, is that natural language conditionals are context-sensitive conditionals which obey Hypothetical Syllogism. In order to make progress on the issue, I consider and improve upon Morreau’s proof of the invalidity of Hypothetical Syllogism. The improved proof (...) relies upon the semantic claim that conditionals with antecedents irrelevant to the obtaining of an already true consequent are themselves true. Moreover, this semantic insight allows us to provide compelling counterexamples to Hypothetical Syllogism that are resistant to the usual contextualist response. (shrink)

Besides pure declarative arguments, whose premises and conclusions are declaratives (“you sinned shamelessly; so you sinned”), and pure imperative arguments, whose premises and conclusions are imperatives (“repent quickly; so repent”), there are mixed-premise arguments, whose premises include both imperatives and declaratives (“if you sinned, repent; you sinned; so repent”), and cross-species arguments, whose premises are declaratives and whose conclusions are imperatives (“you must repent; so repent”) or vice versa (“repent; so you can repent”). I propose a general definition of argument (...) validity: an argument is valid exactly if, necessarily, every fact that sustains its premises also sustains its conclusion, where a fact sustains an imperative exactly if it favors the satisfaction over the violation of the imperative, and a fact sustains a declarative exactly if, necessarily, the declarative is true if the fact exists. I argue that this definition yields as special cases the standard definition of validity for pure declarative arguments and my previously defended definition of validity for pure imperative arguments, and that it yields intuitively acceptable results for mixed-premise and cross-species arguments. (shrink)

Besides pure declarative arguments, whose premises and conclusions are declaratives, and pure imperative arguments, whose premises and conclusions are imperatives, there are mixed-premise arguments, whose premises include both imperatives and declaratives, and cross-species arguments, whose premises are declaratives and whose conclusions are imperatives or vice versa. I propose a general definition of argument validity: an argument is valid exactly if, necessarily, every fact that sustains its premises also sustains its conclusion, where a fact sustains an imperative exactly if it favors (...) the satisfaction over the violation proposition of the imperative, and a fact sustains a declarative exactly if, necessarily, the declarative is true if the fact exists. I argue that this definition yields as special cases the standard definition of validity for pure declarative arguments and my previously defended definition of validity for pure imperative arguments, and that it yields intuitively acceptable results for mixed-premise and cross-species arguments. (shrink)

Begins by explaining then proving a generalized language dependence result similar to Goodman's "grue" problem. I then use this result to cast doubt on the existence of an objective evidential favoring relation (such as "the evidence confirms one hypothesis over another," "the evidence provides more reason to believe one hypothesis over the other," "the evidence justifies one hypothesis over the other," etc.). Once we understand what language dependence tells us about evidential favoring, our options are an implausibly strong conception of (...) the a priori, a hard externalism on which agents are unable to determine what their evidence favors, or a subjectivist view that makes evidential favoring relative to features of the agent. (shrink)

Recent objections to epistemic permissivism have a metaepistemic flavor. Impermissivists argue that their view best accounts for connections between rationality, planning and deference. Impermissivism is also taken to best explain the value of rational belief and normative assessment. These objections pose a series of metaepistemic explanatory challenges for permissivism. In this paper, I illustrate how permissivists might meet their explanatory burdens by developing two permissivist metaepistemic views which fare well against the explanatory challenges.

A new wave of evidentialist theorizing concedes that evidentialism may be extensionally incorrect as an account of all-things-considered rational belief. Nevertheless, these _newer evidentialists_ maintain that there is an importantly distinct type of epistemic rationality about which evidentialism may be the correct account. I argue that natural ways of developing the newer evidentialist position face opposite problems. One version, due to Christensen (Philos Phenomenol Res 103:501–517, 2021), may correctly describe what rationality requires, but does not entail the existence of a (...) distinctively epistemic type of rationality. Another version, due to Maguire and Woods (Philos Rev 129:211–249, 2020), characterizes a normative concept that is both distinct and epistemic, but struggles to explain why this concept should be classified as a type of rationality. I conclude that the newer evidentialist strategy of extensional compromise may be less favorable to evidentialism than previously supposed. (shrink)

There is a long-standing view in epistemology that perception is a way of knowing. There is a less long-standing but increasingly popular view that knowledge attributions have a relativist semantics. I discuss three things here. First, I show that it is a consequence of the logic of RKA that WOK and RKA are incompatible. Second, I argue that, even if WOK is incompatible with the main rivals to RKA, this is not a consequence of the logics of these views. RKA (...) comes with a hitherto unobserved philosophical consequence that its main rivals do not come with. Third, I consider some responses to the effect that it does not matter that RKA comes with this consequence, and argue that they are all unsatisfactory as they stand. I conclude that, at the very least, the onus is placed on relativists to engage with more epistemology than they currently do to show that we do not need to worry about the incompatibility of WOK and RKA. I conclude with some suggestions about the broader relevance and implications of this paper. (shrink)

The paper begins with a well-known objection to the idea that reasons for action are provided by desires. The objection holds that since desires are based on reasons (first premise), which they transmit but to which they cannot add (second premise), they cannot themselves provide reasons for action. In the paper I investigate an attack that has recently been launched against the first premise of the argument by David Sobel. Sobel invokes a counterexample: hedonic desires, i.e. the likings and dislikings (...) of our present conscious states. The aim of the paper is to defend the premise by bringing the alleged counterexample under its scope. I first point out that reference to hedonic desires as a counterexample presupposes a particular understanding of pleasure, which we might call desire-based. In response, following Sobel, I draw up two alternative accounts, the phenomenological and the tracking views of pleasure. Although Sobel raises several objections to both accounts, I argue in detail that the phenomenological view is not as implausible as he claims it to be, whereas the tracking view, on its best version advocated by Thomas Scanlon, is an instance of the phenomenological view and is therefore also defensible. (shrink)

In his new book, The Dimensions of Consequentialism, Martin Peterson proposes a version of multi-dimensional consequentialism according to which risk is one among several dimensions. We argue that Peterson’s treatment of risk is unsatisfactory. More precisely, we want to show that all problems of one-dimensional (objective or subjective) consequentialism are also problems for Peterson’s proposal, although it may fall prey to them less often. In ending our paper, we address the objection that our discussion overlooks the fact that Peterson’s proposal (...) is not the best version of multi-dimensional consequentialism. Our reply is that the possibilities of improving multi-dimensional consequentialism are very limited as far as risk is concerned. (shrink)

According to methodological anti-exceptionalism, logic follows a scientific methodology. There has been some discussion about which methodology logic has. Authors such as Priest, Hjortland and Williamson have argued that logic can be characterized by an abductive methodology. We choose the logical theory that behaves better under a set of epistemic criteria. In this paper, I analyze some important discussions in the philosophy of logic, and I show that they presuppose different methodologies, involving different notions of evidence and different epistemic values. (...) I argue that, rather than having a specific methodology such as abductivism, logic can be characterized by methodological pluralism. This position can also be seen as the application of scientific pluralism to the realm of logic. (shrink)

In his original semantics for counterfactuals, David Lewis presupposed that the ordering of worlds relevant to the evaluation of a counterfactual admitted no incomparability between worlds. He later came to abandon this assumption. But the approach to incomparability he endorsed makes counterintuitive predictions about a class of examples circumscribed in this paper. The same underlying problem is present in the theories of modals and conditionals developed by Bas van Fraassen, Frank Veltman, and Angelika Kratzer. I show how to reformulate all (...) these theories in terms of lower bounds on partial preorders, conceived of as maximal antichains, and I show that treating lower bounds as cutsets does strictly better at capturing our intuitions about the semantics of modals, counterfactuals, and deontic conditionals. (shrink)

This is a critical notice of Nate Charlow and Matthew Chrisman's (eds.) edited collection of articles entitled Deontic Modality. It begins from a brief overview of Angelika Kratzer's standard ordering semantic model for understanding deontic modals such as 'ought', 'must', and 'may' and some of the problems of this model. The focus is then on how many of the articles of this collection reach to these problems by either developing the standard model further or by formulating alternatives to it. This (...) critical notice then focuses on the principles that should govern our theory-choice in formal semantics once all these formal models are developed to deal with many of the problem cases discussed in this excellent collection. (shrink)

Recently, there has been a shift away from traditional truth-conditional accounts of meaning towards non-truth-conditional ones, e.g., expressivism, relativism and certain forms of dynamic semantics. Fueling this trend is some puzzling behavior of modal discourse. One particularly surprising manifestation of such behavior is the alleged failure of some of the most entrenched classical rules of inference; viz., modus ponens and modus tollens. These revisionary, non-truth-conditional accounts tout these failures, and the alleged tension between the behavior of modal vocabulary and classical (...) logic, as data in support of their departure from tradition, since the revisionary semantics invalidate some of these patterns. I, instead, offer a semantics for modality with the resources to accommodate the puzzling data while preserving classical logic, thus affirming the tradition that modals express ordinary truth-conditional content. My account shows that the real lesson of the apparent counterexamples is not the one the critics draw, but rather one they missed: namely, that there are linguistic mechanisms, reflected in the logical form, that affect the interpretation of modal language in a context in a systematic and precise way, which have to be captured by any adequate semantic account of the interaction between discourse context and modal vocabulary. The semantic theory I develop specifies these mechanisms and captures precisely how they affect the interpretation of modals in a context, and do so in a way that both explains the appearance of the putative counterexamples and preserves classical logic. (shrink)

I use a distinction between single-minded and indifferent choice attitudes, modeled across maximally determinate plans of action, as a basis for interpreting deontic claims – about what ought, ought not, and may be done – as expressing a mode of relation between mind and world that gives voice to the exercise of practical rationality. At the same time, I use maximally determinate possible worlds to model descriptive claims in order to understand them as involving a mode of relation between mind (...) and world that manifests our theoretical rationality. The result is of interest to both linguists looking for a formal treatment of deontic modality that captures the role prescriptive mental states play in our lives, and philosophers interested in substantive questions about action-guiding and representational mental states as exercises of practical and theoretical rationality. (shrink)

The standing tradition in theorizing about meaning, since at least Frege, identifies meaning with propositions, which are, or determine, the truth-conditions of a sentence in a context. But a recent trend has advocated a departure from this tradition: in particular, it has been argued that modal claims do not express standard propositional contents. This non-propositionalism has received different implementations in expressivist semantics and certain kinds of dynamic semantics. They maintain that the key aspect of interpretation of modal claims is the (...) characteristic dynamic effect they have on the context. I argue that pessimism about truth-conditions arises from an overly simplistic picture of content, context and their interaction. While I agree with the critics that an important aspect of modal meaning is the dynamic effect modals have on the context, I argue that they have mischaracterized the nature and the complexity of this effect. A more nuanced account of the interaction between modals and context shows that far from being incompatible with propositional meaning, the dynamic aspect of meaning is precisely what allows us to predict the correct propositional content of an utterance. (shrink)

Logic has traditionally been construed as a normative discipline; it sets forth standards of correct reasoning. Explosion is a valid principle of classical logic. It states that an inconsistent set of propositions entails any proposition whatsoever. However, ordinary agents presumably do — occasionally, at least — have inconsistent belief sets. Yet it is false that such agents may, let alone ought to, believe any proposition they please. Therefore, our logic should not recognize explosion as a logical law. Call this the (...) ‘normative argument against explosion’. Arguments of this type play — implicitly or explicitly — a central role in motivating paraconsistent logics. Branden Fitelson, in a throwaway remark, has conjectured that there is no plausible ‘bridge principle’ articulating the normative link between logic and reasoning capable of supporting such arguments. This paper offers a critical evaluation of Fitelson’s conjecture, and hence of normative arguments for paraconsistency and the conceptions of logic’s normative status on which they repose. It is argued that Fitelson’s conjecture turns out to be correct: normative arguments for paraconsistency probably fail. (shrink)

Consequentialists often assume rational monism: the thesis that options are always made rationally permissible by the maximization of the selfsame quantity. This essay argues that consequentialists should reject rational monism and instead accept rational pluralism: the thesis that, on different occasions, options are made rationally permissible by the maximization of different quantities. The essay then develops a systematic form of rational pluralism which, unlike its rivals, is capable of handling both the Newcomb problems that challenge evidential decision theory and the (...) unstable problems that challenge causal decision theory. (shrink)

:A good deal of contemporary moral nonconsequentialism assumes that agents have perfect knowledge about the various features and consequences of their options. This assumption is unrealistic. More often than not, moral agents can only assess with a certain degree of probability the factual circumstances that are morally relevant for their decision making. My aim in this essay is to discuss the problem of moral decisions under risk from the point of view of nonconsequentialism. Basically, I analyze how objective moral principles (...) can be transformed into subjective, decisional prescriptions, and argue that the standard nonconsequentialist approach to moral decision making, which focuses on probability thresholds, is wrong. In accordance with the fundamental postulates of nonconsequentialism, I seek to solve the problem of risk in moral choice by proposing a theory about the marginal moral value of various options. Actions can vary along various dimensions, and each of these dimensions can offer a different moral value function. Nonconsequentialist marginalism can level the playing field with consequentialism. Whereas consequentialism can simply borrow the notion of expected utility from economics, nonconsequentialism must introduce the notion of expectational obligation to formulate a general principle of moral choice under risk. I finally suggest that further empirical work is needed to delineate the shape of various moral value functions that are critical for applying the general principle of moral decision making under risk to well-known cases. View HTML Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.DECISIONAL NONCONSEQUENTIALISM AND THE RISK SENSITIVITY OF OBLIGATIONVolume 32, Issue 2Horacio Spector DOI: https://doi.org/10.1017/S0265052516000121Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. DECISIONAL NONCONSEQUENTIALISM AND THE RISK SENSITIVITY OF OBLIGATIONVolume 32, Issue 2Horacio Spector DOI: https://doi.org/10.1017/S0265052516000121Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. DECISIONAL NONCONSEQUENTIALISM AND THE RISK SENSITIVITY OF OBLIGATIONVolume 32, Issue 2Horacio Spector DOI: https://doi.org/10.1017/S0265052516000121Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

Is understanding subject to a factivity constraint? That is, must the agent’s representation of some subject matter be accurate in order for her to understand that subject matter? ‘No’, I argue in this paper. As an alternative, I formulate a novel manipulationist account of understanding. Rather than correctly representing, understanding, on this account, is a matter of being able to manipulate a representation of the world to satisfy contextually salient interests. This account of understanding is preferable to factivism, I argue, (...) mainly for simplicity reasons. While it explains the intuitive data about understanding as successfully as factivist accounts, it is simpler by virtue of reducing the value truth bestows on understanding to that of usability. (shrink)

Expressivism promises an illuminating account of the nature of normative judgment. But worries about the details of expressivist semantics have led many to doubt whether expressivism's putative advantages can be secured. Drawing on insights from linguistic semantics and decision theory, I develop a novel framework for implementing an expressivist semantics that I call ordering expressivism. I argue that by systematically interpreting the orderings that figure in analyses of normative terms in terms of the basic practical attitude of conditional weak preference, (...) the expressivist can explain the semantic properties of normative sentences in terms of the logical properties of that attitude. Expressivism's problems with capturing the logical relations among normative sentences can be reduced to the familiar, more tractable problem of explaining certain coherence constraints on preferences. Particular attention is given to the interpretation of wide-scope negation. The proposed solution is also extended to other types of embedded contexts—most notably, disjunctions. (shrink)

Kolodny and MacFarlane have made a pioneering contribution to our understanding of how the interpretation of deontic modals can be sensitive to evidence and information. But integrating the discussion of information-sensitivity into the standard Kratzerian framework for modals suggests ways of capturing the relevant data without treating deontic modals as “informational modals” in their sense. I show that though one such way of capturing the data within the standard semantics fails, an alternative does not. Nevertheless I argue that we have (...) good reasons to adopt an information-sensitive semantics of the general type Kolodny and MacFarlane describe. Contrary to the standard semantics, relative deontic value between possibilities sometimes depends on which possibilities are live. I develop an ordering semantics for deontic modals that captures this point and addresses various complications introduced by integrating the discussion of information-sensitivity into the standard semantic framework. By attending to these complexities, we can also illuminate various roles that information and evidence play in logical arguments, discourse, and deliberation. (shrink)

Argues for a conception of reasons as premises of practical reasoning. This conception is applied to questions about ignorance, advice, enabling conditions, "ought," and evidence.

One natural way to argue for the existence of some subjective constraint on agents’ obligations is to maintain that without that particular constraint, agents will sometimes be obligated to do that which they lack the ability to do. In this paper, I maintain that while such a strategy appears promising, it is fraught with pitfalls. Specifically, I argue that because the truth of an ability ascription depends on an (almost always implicit) characterization of the relevant possibility space, different metaethical accounts (...) take obligation to be constrained by different senses of ability. As a result, what initially looks to be a point of consensus—that ability constrains obligation—turns out to be a point of contention, and arguments with this at the foundation are much more likely to obscure, rather than resolve, metaethical disputes. Despite this, appeals to ability in metaethics aren’t doomed to be fruitless. On the contrary, if we can independently establish a particular sense of ability as the normatively relevant one, then we have good grounds for ruling out metaethical accounts that are inconsistent with it. In the final section, I make just such an argument. What seems right about the thought that ability constrains obligation is that an agent cannot be obligated to do that which her circumstances prevent her from doing. I argue that only a sense of ability that is both epistemically and motivationally restricted adequately respects the limits of agential control. (shrink)

According to a naïve view sometimes apparent in the writings of moral philosophers, ‘ought’ often expresses a relation between agents and actions – the relation that obtains between an agent and an action when that action is what that agent ought to do. It is not part of this naïve view that ‘ought’ always expresses this relation – on the contrary, adherents of the naïve view are happy to allow that ‘ought’ also has an epistemic sense, on which it means, (...) roughly, that some proposition is likely to be the case, and adherents of the naïve view are also typically happy to allow that ‘ought’ also has an evaluative sense, on which it means, roughly, that were things ideal, some proposition would be the case.1 What is important to the naïve view is not that these other senses of ‘ought’ do not exist, but rather that they are not exhaustive – for what they leave out, is the important deliberative sense of ‘ought’, which is the central subject of moral inquiry about what we ought to do and why – and it is this deliberative sense of ‘ought’ which the naïve view understands to express a relation between agents and actions.2 In contrast, logically and linguistically sophisticated philosophers – with a few notable exceptions3 – have rejected this naïve view. According to a dominant perspective in the interpretation of deontic logic and in linguistic semantics, for example, articulated by Roderick Chisholm (1964) and Bernard Williams (1981) in philosophy and in the dominant paradigm in linguistic semantics as articulated in particular by.. (shrink)

There is a renewed debate about modus ponens. Strikingly, the recent counterexamples in Cantwell, Dreier and MacFarlane and Kolodny are generated by restricted readings of the ‘if’-clause. Moreover, it can be argued on general grounds that the restrictor view of conditionals developed in Kratzer and Lewis leads to counterexamples to modus ponens. This paper provides a careful analysis of modus ponens within the framework of the restrictor view. Despite appearances to the contrary, there is a robust sense in which modus (...) ponens is valid, owing to the fact that conditionals do not only allow for restricted readings but have bare interpretations, too. (shrink)

A paper by Schulz (Philos Stud 149:367–386, 2010) describes how the suppositional view of indicative conditionals can be supplemented with a derived view of epistemic modals. In a recent criticism of this paper, Willer (Philos Stud 153:365–375, 2011) argues that the resulting account of conditionals and epistemic modals cannot do justice to the validity of certain inference patterns involving modalised conditionals. In the present response, I analyse Willer’s argument, identify an implicit presupposition which can plausibly be denied and show that (...) accepting it would blur the difference between plain assumptions and their epistemic necessitations. (shrink)

Many believe that there is at least some asymmetry between the extent to which moral and non-moral ignorance excuse. I argue that the exculpatory force of moral ignorance—or lack thereof—poses a thus far overlooked challenge to moral realism. I show, firstly, that if there were any mind-independent moral truths, we would not expect there to be an asymmetry in exculpatory force between moral and ordinary ignorance at all. I then consider several attempts the realist might make to deny or accommodate (...) this datum, and show why none of them work. (shrink)

The literature on indicative conditionals contains two appealing views. The first is the selectional view: on this view, conditionals operate by selecting a single possibility, which is used to evaluate the consequent. The second is the informational view: on this view, conditionals don’t express propositions, but rather impose constraints on information states of speakers. Both views are supported by strong arguments, but they are incompatible on their standard formulations. Hence it appears that we have to choose between mutually exclusive options. (...) But the options are not exclusive. This paper develops a theory of the semantics and assertability of conditionals that is both selectional and informational. The theory vindicates the signature inferences of both selectional and informational theories, including so-called Conditionals Excluded Middle and principles about the interplay between conditionals and ‘might’. It also predicts some interesting and puzzling facts about the assertion of conditionals. (shrink)

There is an interesting contrast between permissions to act and permissions to believe. Plausibly, if it is permissible to believe something from a perspective with incomplete evidence, it cannot become impermissible to believe it from a second perspective with complete evidence. In contrast, it seems that something permissible to do for an agent in a perspective with limited evidence can become impermissible in a second perspective in which all the relevant evidence is available. What is more, an agent with incomplete (...) evidence may be permitted to do something that she knows would be impermissible if she occupied a perspective of complete evidence. In this paper, I argue that this contrast is explained by a disanalogy between the role played by belief in epistemic deliberation and the role played by action in practical deliberation. Epistemic deliberation may be closed by adopting other attitudes than belief, whereas in general, practical deliberation can only be closed by endorsing some course of action. Thus, when there are pressures to close some practical deliberation, agents have to make a decision about what to do even if they lack relevant information. By contrast, lacking relevant evidence, agents may always refrain from forming a belief and close instead their epistemic deliberation by adopting some other attitude. (shrink)