In a recent paper, Pruss proves the validity of the rule beta-2 relative to Lewis’s semantics for counterfactuals, which is a significant step forward in the debate about the consequence argument. Yet, we believe there remain intuitive counter-examples to beta-2 formulated with the actuality operator and rigidified descriptions. We offer a novel and two-dimensional formulation of the Lewisian semantics for counterfactuals and prove the validity of a new transfer rule according to which a new version of the consequence argument can (...) be formulated. This new transfer rule is immune to the counter-examples involving the actuality operator and rigidified descriptions. However, we show that counter-examples to this new rule can also be generated, demanding that the Lewisian semantics be generalized for higher dimensions where counter-examples can always be generated. (shrink)

We defend the thesis that every necessarily true proposition is always true. Since not every proposition that is always true is necessarily true, our thesis is at odds with theories of modality and time, such as those of Kit Fine and David Kaplan, which posit a fundamental symmetry between modal and tense operators. According to such theories, just as it is a contingent matter what is true at a given time, it is likewise a temporary matter what is true at (...) a given possible world; so a proposition that is now true at all worlds, and thus necessarily true, may yet at some past or future time be false in the actual world, and thus not always true. We reconstruct and criticize several lines of argument in favor of this picture, and then argue against the picture on the grounds that it is inconsistent with certain sorts of contingency in the structure of time. (shrink)

Current orthodoxy in modal logic and metaphysics has it that actuality is non-contingent in the following sense: for all p, if actually, p, then necessarily, actually, p. Call this thesis (Actuality) Necessitism and its negation (Actuality) Contingentism. Thus, according to Contingentism, there is at least one proposition p which is actually true but which could have been actually false. In another paper, one of us (Glazier 2023) has recently defended Contingentism. The present paper explores the logic of actuality under Contingentism. (...) After informally introducing Contingentism and outlining what we take to be the main motivations for accepting it, we consider how contingent actuality should be taken to be. We argue that the nature, or essence, of actuality imposes certain limits on the extent to which actuality could have been different, and these then inform our view of the logic of actuality. Turning to the formal study of the logic of contingent actuality, we specify a formal language and a possible world semantics for that language and distinguish a number of natural notions of validity and consequence to which it gives rise. We present axiomatizations of the different resulting logics and examine the variety of iterated modalities in our systems. We establish soundness and completeness results. (shrink)

The truth conditions of sentences with indexicals like ‘I’ and ‘here’ cannot be given directly, but only relative to a context of utterance. Something similar applies to questions: depending on the semantic framework, they are given truth conditions relative to an actual world, or support conditions instead of truth conditions. Two-dimensional semantics can capture the meaning of indexicals and shed light on notions like apriority, necessity and context-sensitivity. However, its scope is limited to statements, while indexicals also occur in questions. (...) Moreover, notions like apriority, necessity and context-sensitivity can also apply to questions. To capture these facts, the frameworks that have been proposed to account for questions need refinement. Two-dimensionality can be incorporated in question semantics in several ways. This paper argues that the correct way is to introduce support conditions at the level of characters, and develops a two-dimensional variant of both proposition-set approaches and relational approaches to question semantics. (shrink)

Composition as Identity is the view that an object is identical to its parts taken collectively. I elaborate and defend a theory based on this idea: composition is a kind of identity. Since this claim is best presented within a plural logic, I develop a formal system of plural logic. The principles of this system differ from the standard views on plural logic because one of my central claims is that identity is a relation which comes in a variety of (...) forms and only one of them obeys substitution unrestrictedly. I justify this departure from orthodoxy by showing some problems which result from attempts to avoid inconsistencies within plural logic by means of postulating other non-singular terms besides plural terms. Thereby, some of the main criticisms raised against Composition as Identity can be addressed. Further, I argue that the way objects are arranged is relevant with respect to the question which object they compose, i.e. to which object they are identical to. This helps to meet a second group of arguments against Composition as Identity. These arguments aim to show that identifying composite objects on the basis of the identity of their parts entails, contrary to our common sense view, that rearranging the parts of a composite object does not leave us with a different object. Moreover, it allows us to carve out the intensional aspects of Composition as Identity and to defend mereological universalism, the claim that any objects compose some object. Much of the pressure put on the latter view can be avoided by distinguishing the question whether some objects compose an object from the question what object they compose. Eventually, I conclude that Composition as Identity is a coherent and plausible position, as long as we take identity to be a more complex relation than commonly assumed. (shrink)

A number of prominent epistemologists claim that the principle of sensitivity “play[s] a starring role in the solution to some important epistemological problems”. I argue that traditional sensitivity accounts fail to explain even the most basic data that are usually considered to constitute their primary motivation. To establish this result I develop Gettier and lottery cases involving necessary truths. Since beliefs in necessary truths are sensitive by default, the resulting cases give rise to a serious explanatory problem for the defenders (...) of sensitivity accounts. It is furthermore argued that attempts to modally strengthen traditional sensitivity accounts to avoid the problem must appeal to a notion of safety—the primary competitor of sensitivity in the literature. The paper concludes that the explanatory virtues of sensitivity accounts are largely illusory. In the framework of modal epistemology, it is safety rather than sensitivity that does the heavy explanatory lifting with respect to Gettier cases, lottery examples, and other pertinent cases. (shrink)

Subjective language has attracted substantial attention in the recent literature in formal semantics and philosophy of language Subjective meaning: alternatives to relativism, De Gruyter, Berlin, pp 1–19, 2016; Lasersohn in Subjectivity and perspective in truth-theoretic semantics, Oxford University Press, Oxford, 2017; Vardomskaya in Sources of subjectivity, Ph.D. thesis, University of Chicago, IL, 2018; Zakkou in Faultless disagreement: a defense of contextualism in the realm of personal taste, Vittorio Klostermann, Frankfurt a. M., 2019b). Most current theories argue that Subjective Predicates, which (...) express matters of opinion, semantically differ from ordinary predicates, which express matters of fact. We will call this view “SP exceptionalism”. This paper addresses SP exceptionalism by scrutinizing the behavior of SPs in attitude reports, which, as we will argue, significantly constrains the space of analytical options and rules out some of the existing theories. As first noticed by Stephenson :487–525, 2007a; Towards a theory of subjective meaning, Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA, 2007b), the most prominent reading of embedded SPs is one where they talk about the attitude holder’s subjective judgment. As is remarked sometimes :327–352, 2009; Pearson in J Semant 30:103–154, 2013a), this reading is not the only one: embedded SPs may also talk about someone else’s, non-local, judgment. We concentrate specifically on such cases and show that non-local judgment is possible if and only if SPs are used within a DP that is outside main predicate position and that entire DP is read de re. We demonstrate that the behavior of SPs in attitude reports does not differ from that of ordinary predicates: it follows from general constraints on intersective modification and intensional quantification Ways of scope taking, Springer, Dordrecht, pp 183–215, 1997; Musan in On the temporal interpretation of noun phrases, Garland, New York, 1997; Percus in Nat Lang Semant 8:173–229, 2000; Keshet in Good intensions: paving two roads to a theory of the de re/de dicto distinction, Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA, 2008). We argue that this unexceptional behavior of SPs in fact has unexpected consequences for SP exceptionalism. Precisely because SPs have been argued to be semantically different from ordinary predicates, not all theories correctly predict these less-studied data: some overgenerate :691–706, 2007; Sæbø 2009) and some undergenerate Proceedings of Sinn und Bedeutung, vol 11, pp 433–447, 2007; Pearson 2013a). Out of the currently available theories, only relativist accounts :643–686, 2005; MacFarlane 2014; Bylinina in J Semant 34, 291–331, 2017; Coppock in Linguist Philos 41:125–164, 2018) predict the right interpretation, and only that interpretation. We thus present a novel empirical argument for relativism, and, more generally, formulate a constraint that has to be taken into consideration by any view that advocates SP exceptionalism. (shrink)

In this paper, we axiomatize the deontic logic in Fusco (2015), which uses a Stalnaker-inspired account of diagonal acceptance and a two-dimensional account of disjunction to treat Ross’s Paradox and the Puzzle of Free Choice Permission. On this account, disjunction-involving validities are a priori rather than necessary. We show how to axiomatize two-dimensional disjunction so that the introduction/elimination rules for boolean disjunction can be viewed as one-dimensional projections of more general two-dimensional rules. These completeness results help make explicit the restrictions (...) Fusco’s account must place on free-choice inferences. They are also of independent interest, as they raise difficult questions about how to “lift” a Kripke frame for a one-dimensional modal logic into two dimensions. (shrink)

Though it is often claimed that some general terms are rigid designators, it has turned out to be difficult to give a satisfying definition that avoids making all general terms rigid, and even if a non-rigid reading is available, makes that non-rigid reading matter. Several authors have attempted to develop examples that meet the trivialization challenge, with Martí and Martínez-Fernández providing what is, perhaps, the most convincing strategy. I show that the type of example Martí and Martínez-Fernández offer nevertheless fails (...) to meet the trivialization challenge and, accordingly, that we should still have serious doubts about whether continuing the search for a non-trivial definition of general term rigidity would be fruitful. (shrink)

Ratio, Volume 35, Issue 2, Page 104-111, June 2022.

In two‐dimensional semantics in the tradition of Davies and Humberstone, whether a singular term receives an epistemically shifted reading in the scope of a modal operator depends on whether the world considered as actual is shifted. This means that epistemically shifted readings should be available only in environments where an explicit contrast between the actual world and some counterfactual worlds cannot be made. In this paper, I argue that this is incorrect. Whether a singular term receives an epistemically shifted reading (...) is independent of whether the world treated as actual is shifted. This, I argue, undermines the two‐dimensionalist account of epistemic shift. I then turn to the question how a positive view should handle these two phenomena separately. I argue for treating singular terms with a version of counterpart theory in which the difference between epistemically shifted and other readings is determined in the context of utterance. (shrink)

I argue that ‘actually’ does not have a reading according to which it is synonymous with the actuality operator of modal logic, and propose an alternative account of ‘actually’. The cases that have been thought to show that ‘actually’ is synonymous with the actuality operator are modal and counterfactual sentences in which an embedded clause's evaluation is held fixed at the world of the context. In these cases, though, this embedded clause's evaluation is not due to the presence of ‘actually’. (...) As an alternative, I propose that ‘actually’ is a presupposition trigger along the lines of ‘even’ or ‘too’, and it signals that presupposed information states in the discourse are evolving in a non-standard way. (shrink)

In order to block controversial predictions of 2D semantics (The Nesting Problem), Chalmers and Rabern (2014) propose adding an additional constriction called “the liveness constraint” in definitions of epistemic modals. Without this constraint, all scenario‐world pairs counterfactual to a scenario‐world pair considered as actual in a 2D matrix for a contingenta prioripropositionϕappear problematic for 2D semantics. This is because, although it is false thatϕin such pairs, it isa prioritrue thatϕ. I consider two versions of 2D semantics, those with unstructured and (...) structured intensions. I argue that the unstructured version of 2D semantics is over‐simplified and due to this, it has controversial predictions for counterfactual scenario‐world pairs – the definition of epistemic conceivability with the liveness constraint causes some contingent propositions to appear inconceivable in counterfactual scenario‐world pairs, while some other contingent propositions remain conceivable. In turn, the structured version of the 2D account of propositions has no explanation of how it is possible to possess purely qualitative knowledge without its being dependent on a particular individual or on a particular actual world. (shrink)

In his 2022 article ‘A puzzle about the fixity of the past’, Lampert argues that standard views concerning knowledge and the semantics of ‘actually’ conflict with a widely held principle concerning the fixity of the past. I show that his attempt to establish the conflict fails, as it rests on the implicit assumption that a past mental state or utterance involving a modal indexical must have the same content across worlds with a shared past, when in fact it must, given (...) its character, differ in content. (shrink)