The dogma that the propositional logic of metaphysical modality is S5 is rebutted in related installments (previously published and unpublished essays).

Provides a comprehensive overview and introduction to the Routledge Handbook of Propositions.

Worlds, Lewis says this: Let us say that something persists iff, somehow or other, it exists at various times; this is the neutral word. Something perdures iff it persists by having different temporal parts, or stages, at different times, though no one part of it is wholly present at more than one time; whereas it endures iff it persists by being wholly present at more than one time. Perdurance corresponds to the way a road persists through space; part of it (...) is here, and part of it is there, and no part is wholly present at two different places. Endurance corresponds to the way a universal, if there are such things, would be wholly present wherever and whenever it is instantiated. Endurance involves overlap: the content of two different times has the enduring thing as a common part. Perdurance does not.1 Lewis's remarks suggest the following formulations of the two views in the 3D/4D controversy.2.. (shrink)

For Humeans, many facts—even ones intuitively “about” particular, localized macroscopic parts of the world—turn out to depend on surprisingly global fundamental bases. We investigate some counterintuitive consequences of this picture. Many counterfactuals whose antecedents describe intuitively localized, non-actual states of affairs nevertheless end up involving wide-ranging implications for the global, embedding Humean mosaic. The case of self-undermining chances is a familiar example of this. We examine that example in detail and argue that popular existing strategies such as “holding the laws (...) fixed as laws” or “holding the laws fixed as true” are of no help. Interestingly, we show how a new proposal that draws on the resources of the Mentaculus can yield the right results—but only on the assumption that the Humean can make cross-world identifications. We go on to argue that the Humean cannot make such identifications. We conclude that the root of this trouble is deeper, and its reach broader, than the familiar cases suggest. We think it is very much an open question whether the Humean has sufficient resources to properly conceptualize macroscopic objects or to analyze these “local” counterfactuals. (shrink)

So-called Neo-Russellians, such as Salmon, Braun, Crimmins, and Perry, hold that the semantic content of ‘ n is F ’ in a context c is the singular proposition ⟨ o, P ⟩, where o is the referent of the name n in c, and P is the property expressed by the predicate F in c. This is also known as the Neo-Russellian theory. Using truth ascriptions with names designating propositions, such as ‘Goldbach's conjecture’, in this paper, I will argue that, (...) together with highly plausible principles regarding a priori knowledge, the Neo-Russellian theory leads to unacceptable consequences. I will call this ‘the Goldbach puzzle’. Since the solution to the Goldbach puzzle cannot be to reject the discussed principles regarding a priori knowledge, the puzzle will undermine the Neo-Russellian theory. (shrink)

Empiricist philosophers like Carnap invoked analyticity in order to explain a priori knowledge and necessary truth. Analyticity was “truth purely in virtue of meaning”. The view had a deflationary motivation: in Carnap’s proposal, linguistic conventions alone determine the truth of analytic sentences, and thus there is no mystery in our knowing their truth a priori, or in their necessary truth; for they are, as it were, truths of our own making. Let us call this “Carnapian conventionalism”, conventionalismC and cognates for (...) short. This conventionalistC explication of the a priori has been the target of sound criticisms. Arguments like Quine’s in “Truth by Convention” are in our view decisive: the truth of conventionalismC requires that the class of logical truths and logical validities be reductively accounted for as conventionally established; however, no such reduction is forthcoming, because logic is needed to generate the entire class from any given set of conventions properly so-called. Granted that conventionalismC is untenable, we want to take issue with a different, usually made criticism. Although the argument uncovers some difficulties for the way conventionalist claims are defended by some of its advocates, we will try to show that it fails. The criticism thus stands in the way of a proper appreciation of why the Carnapian account of the a priori is not correct. We will try to illustrate this by showing that the criticism we will dispute would dispose of conventionalist claims not only regarding philosophically problematic cases – logical and mathematical truths –, but also regarding cases for which they have some prima facie plausibility. One such case is that of truths that follow from mere abbreviations, “nominal” definitions; ‘someone is a bachelor if and only if he is an unmarried adult male’ can serve at this point for illustration. We will try to articulate a clear sense in which the contents of assertion such as this can be truths by convention. We do not need to prove that a conventionalist claim is true in those cases; it is enough for us to show that it is intelligible, for the arguments we will confront question even this. (shrink)

Serious actualism is the view that it is metaphysically impossible for an entity to have a property, or stand in a relation, and not exist. Fine (1985) and Pollock (1985) influentially argue that this view is false. In short, there are properties like the property of nonexistence, and it is metaphysically possible that some entity both exemplifies such a property and does not exist. I argue that such arguments are indeed successful against the standard formulation of serious actualism. However, I (...) also argue that we should distinguish a weaker formulation of serious actualism using the actualist distinction between truth in, and truth at, a possible world. This weaker formulation is then shown to be consistent with the existence and possible exemplification of properties like the property of nonexistence. I end with a novel argument for the truth of the weaker formulation. (shrink)

Serious actualists take it that all properties are existence entailing. I present a simple puzzle about sentence tokens which seems to show that serious actualism is false. I then consider the most promising response to the puzzle. This is the idea that the serious actualist should take ordinary property-talk to contain an implicit existential presupposition. I argue that this approach does not work: it fails to generalise appropriately to all sentence types and tokens. In particular, it fails to capture the (...) right distinctions we ought to make between what I call _typographical sentence types_—an interesting and previously undiscussed class of fine-grained sentence types which are partially individuated by their typography, or how they look when written out. (shrink)

Haecceities are non-qualitative properties for individuation but the current theories about haecceities are still to be much more explored. This paper aims to develop a “haecceity mereology” – that is, an ontological system that understands substances as mereological combinations of haecceities and qualitative properties. In this way, the view developed is an alternative to Paul’s : 578–96; 2006. “Coincidence as Overlap.” Noûs 40 : 623–59) mereological approach. Three rules are proposed: If S is a substance, then there is one and (...) only one haecceity which is S’s qualitative part; For all the fusions with the same haecceity, at most only one of those fusions is a substance; When all the relevant elements are abundant, every element must overlap at least one substance. This is the first ontology of haecceities in the recent literature and would be a model for systematic metaphysics. (shrink)

The foregoing set of theorems forms an effective foundation for the theory of situations and worlds. All twenty-five theorems seem to be basic, reasonable principles that structure the domains of properties, relations, states of affairs, situations, and worlds in true and philosophically interesting ways. They resolve 15 of the 19 choice points defined in Barwise (1989) (see Notes 22, 27, 31, 32, 35, 36, 39, 43, and 45). Moreover, important axioms and principles stipulated by situation theorists are derived (see Notes (...) 33, 37, and 38). This is convincing evidence that the foregoing constitutes a theory of situations. Note that worlds are just a special kind of situation, and that the basic theorems of world theory, which were derived in previous work, can still be derived in this situation-theoretic setting. So there seems to be no fundamental incompatibility between situations and worlds — they may peacably coexist in the foundations of metaphysics. The theory may therefore reconcile two research programs that appeared to be heading off in different directions. And we must remind the reader that the general metaphysical principles underlying our theory were not designed with the application to situation theory in mind. This suggests that the general theory and the underlying distinction have explanatory power, for they seem to relate and systematize apparently unrelated phenomena. (shrink)

According to actualism, modal reality is constructed out of valuations (combinations of truth values for all propositions). According to possibilism, modal reality consists in a set of possible worlds, conceived as independent objects that assign truth values to propositions. According to possibilism, accounts of modal reality can intelligibly disagree with each other even if they agree on which valuations are contained in modal reality. According to actualism, these disagreements (possibilist disagreements) are completely unintelligible. An essentially actualist semantics for modal propositional (...) logic specifies which sets of valuations are compatible with the meanings of the truth-functional connectives and modal operators without drawing on formal resources that would enable us to represent possibilist disagreements. The paper discusses the availability of an essentially actualist semantics for modal propositional logic. I argue that the standard Kripkean semantics is not essentially actualist and that other extant approaches also fail to provide a satisfactory essentially actualist semantics. I end by describing an essentialist actualist semantics for modal propositional logic. (shrink)

University of North Carolina and East Carolina University.

Trevor Teitel (2017) has recently argued that combining the assumption that modality reduces to essence with the assumption that possibly some objects contingently exist leads to problems if one wishes to uphold that the logic of metaphysical modality is S5. In this paper I will argue that there is a way for the essentialist to evade the problem described by Teitel. The proposed solution crucially involves the assumption that some propositions possibly fail to exist. I will show how this assumption (...) affords a motivated contingentist response to Teitel’s argument. (shrink)

Modal primitivists hold that some modal truths are primitively true. They thus seem to face a special epistemological problem: how can primitive modal truths be known? The epistemological objection has not been adequately developed in the literature. I undertake to develop the objection, and then to argue that the best formulation of the epistemological objection targets all realists about modality, rather than the primitivist alone. Furthermore, the moves available to reductionists in response to the objection are also available to primitivists. (...) I conclude by suggesting that extant theories of the epistemology of modality are not sensitive to the question of primitivism versus reductionism. (shrink)

Many are reluctant to accept primitive modality into their fundamental picture of the world. The worry often traces to this thought: we shouldn't adopt any more primitive - that is, unexplained - notions than we need in order to explain all the features of the world, and primitive modal notions are not needed. I examine one prominent rival to modal primitivism, combinatorialism, and show that in order to account for all the modal features of the world the combinatorialist must adopt (...) two additional primitive notions. My own modal primitivist view takes as primitive the notion of incompatibility between properties or relations. I show how the non-modal notions that the combinatorialist must adopt as primitive may be analyzed using my notion. The upshot is that with respect to the number of primitive notions, my modal primitivist theory comes out ahead. (shrink)

Creationism with respect to fictional entities, i.e., the position according to which ficta are creations of human practices, has recently become the most popular realist account of fictional entities. For it allows one to hold that there are fictional entities while simultaneously giving such entities a respectable metaphysical status, that of abstract artifacts. In this paper, I will draw what are the ontological and semantical consequences of this position, or at least of all its forms that are genuinely creationist. For (...) some people, these consequences will sound as plagues against the position; for some others, especially realists on ficta, they are welcome results. Although I hold that all forms of genuine creationism have these consequences, I will conclude by explaining why I take moderate creationism, according to which ficta are created by means of a reflexive stance on the make-believe practice grounding them, to be the best of these forms. (shrink)

In his (2001a) and in some related papers, Tim Crane has maintained that intentional objects are schematic entities, in the sense that, insofar as being an intentional object is not a genuine metaphysical category, qua objects of thought intentional objects have no particular nature. This approach to intentionalia is the metaphysical counterpart of the later Husserl's ontological approach to the same entities, according to which qua objects of thought intentionalia are indifferent to existence. But to buy a metaphysically deflationary approach (...) does not mean to buy an ontologically deflationary approach, according to which we have to accept all the intentional objects there apparently are. Being metaphysically deflationary on intentionalia rather means that from the ontological point of view one must really allow only for those intentionalia for which one is entitled to say that there are such things; typically, for which an ontological proof is available. From metaphysical schematism plus conditional, or partial, ontological committment to intentionalia, further interesting consequences follow. First, this theoretical combination allows one to deal with the ‘too-many entities’ problem (may one fail to accept an ontological proof for an entity of a given kind if she thinks that the entity we would have to be committed to is an entity of another kind?). Second, it allows one to deal with the ‘genuinely true report’ problem (how is it that if we exercise mindreading with respect to a somehow deluded person, we want our reports to come out as really, not merely fictionally, true?). (shrink)

Recent developments in cosmology indicate that every history having a non-zero probability is realized in infinitely many distinct regions of spacetime. Thus, it appears that the universe contains infinitely many civilizations exactly like our own, as well as infinitely many civilizations that differ from our own in any way permitted by physical laws. We explore the implications of this conclusion for ethical theory and for the doomsday argument. In the infinite universe, we find that the doomsday argument applies only to (...) effects which change the average lifetime of all civilizations, and not those which affect our civilization alone. 1. Introduction2. Physics background2.1The number of possible histories is finite2.2The universe is infinite2.3Every possible history occurs an infinite number of times3. Frequency and probability4. Inflation contrasted4.1Modal realism4.2Actualism4.3Eternal recurrence5. Ethical implications6. Universal doomsday6.1Application to our civilization in particular6.2Universal vs. particular dooms6.3Practical applications7. Concluding remarks. (shrink)

In a growing number of papers, one encounters arguments to the effect that certain philosophical views are objectionable because they would imply that there are necessary truths for whose necessity there is no explanation. That is, they imply that there are propositions p such that (a) it is necessary that p, but (b) there is no explanation why it is necessary that p. For short, they imply that there are “brute necessities.” Therefore, the arguments conclude, the views in question should (...) be rejected in favor of rival views under which the necessities would be explained. This style of argument raises a number of important and difficult questions. Do necessary truths really require explanation? Are they not paradigms of truths that either need no explanation or automatically have one, being in some sense self‐explanatory? If some necessary truths do require or admit of explanation, what types of explanation, are available? Are some necessary truths explained by other necessary truths? Are some necessary truths self‐explanatory? Are all necessary truths either self‐explanatory or explained by others? Or are there some necessary truths that are truly brute? This article surveys several representative arguments from brute necessity as well as a variety of answers to the questions above, noting their bearing on arguments from bruteness. (shrink)

Bertrand Russell offered an influential paradox of propositions in Appendix B of The Principles of Mathematics, but there is little agreement as to what to conclude from it. We suggest that Russell's paradox is best regarded as a limitative result on propositional granularity. Some propositions are, on pain of contradiction, unable to discriminate between classes with different members: whatever they predicate of one, they predicate of the other. When accepted, this remarkable fact should cast some doubt upon some of the (...) uses to which modern descendente of Russell's paradox of propositions have been put in recent literature. (shrink)

The thesis of existentialism holds that if a proposition p exists and predicates something of an object a, then in any world where a does not exist, p does not exist either. If “possibly, p” entails “in some possible world, the proposition that p exists and is true,” then existentialism is prima facie incompatible with the truth of claims like “possibly, the Eiffel Tower does not exist.” In order to avoid this claim, a distinction between two kinds of world-indexed truth (...) –and two associated kinds of modality –is needed. This paper embodies an attempt to develop a full account of just such a distinction. (shrink)

It is fairly common, among those who think propositions exist, to think they exist necessarily. Here, I consider three arguments in support of that conclusion. What I hope to show is not that that claim is false, but, rather, that the arguments used in its defense tend to presuppose a certain kind of approach to modality: a roughly Plantingian view. What the arguments show, then, is that one cannot accept that approach to modality and accept contingently existing propositions. But there (...) are other approaches to modality – I discuss three such approaches – into which contingently existing propositions fit perfectly well. This suggests that disputes over, for example, singular propositions, must be conducted within a broader agreement over modal matters if they are to be at all productive. (shrink)

This paper first argues that we can bring out a tension between the following three popular doctrines: (i) the canonical reduction of metaphysical modality to essence, due to Fine, (ii) contingentism, which says that possibly something could have failed to be something, and (iii) the doctrine that metaphysical modality obeys the modal logic S5. After presenting two such arguments (one from the theorems of S4 and another from the theorems of B), I turn to exploring various conclusions we might draw (...) in light of these results, and argue that none comes cost free. In the course of laying out possible responses to my arguments, we'll have a chance to evaluate various doctrines about the interplay between contingency and essence, as well as develop some alternative reductions of metaphysical modality to essence. I don't decisively come down in favor of one response over the others, though I say some things that point towards the conclusion that essence has no role to play in reducing metaphysical modality. (shrink)

Existentialism about propositions is the view that a proposition expressed in a sentence containing a nonempty name or indexical depends ontologically on the referent of the name or indexical: the proposition could not exist if the referent did not. The paper focuses on names. It discusses some arguments for existentialism and then presents a novel one. That argument does not presuppose that propositions have constituents, and it could be accepted by those who hold broadly Fregean views about names. It shows (...) that, for example, if Aristotle had not existed, no sentence could have meant that Aristotle is a philosopher. The paper also touches on the consequences of existentialism. (shrink)

I discuss Stalnaker’s views on modality. In particular, his views on actualism, anti-essentialism, counterpart theory, and the Barcan formulas.

Timothy Williamson has argued for the radical conclusion that everything necessarily exists. In this paper, I assume that the conclusion of Williamson’s argument is more incredible than the denial of his premises. Under the assumption that Williamson is mistaken, I argue for the claim that there are some structured propositions which have constituents that might not have existed. If those constituents had not existed, then the propositions would have had an unfilled role; they would have been gappy. This gappy propositions (...) view allows for a plausible response to Williamson’s argument. Additionally, a slight variant of the gappy propositions view allows for plausible defense of Linguistic Ersatzism from the problem of contingent non-existents (also known as the problem of aliens). (shrink)

Alvin Plantinga gave a reductio of the conjunction of the following three theses: Existentialism (the view that, e.g., the proposition that Socrates exists can't exist unless Socrates does), Serious Actualism (the view that nothing can have a property at a world without existing at that world) and Contingency (the view that some objects, like Socrates, exist only contingently). I sketch a view of truth at a world which enables the Existentialist to resist Plantinga's argument without giving up either Serious Actualism (...) or Contingency. (shrink)

Many Russellians endorse the theses that propositions (i) are structured, (ii) have logical forms, (iii) have objects they are directly about as constituents, (iv) cannot exist without their constituents and (v) exist contingently. In his Propositions, Merricks argues against (i)-(v). I respond to his arguments.

This paper proposes a new reductive theory of modality, called the moodless theory of modality. This theory, and not modal realism, is the closest modal analogue of the tenseless theory of time. So, if the tenseless theory is true, and the temporality–modality analogy is good, it is the moodless theory that follows. I also argue that the moodless theory, considered on its own, is better than modal realism: arguments often thought to be decisive against modal realism are weak against it.

Nexuses such as exemplification are the fundamental ties that structure reality as a whole. They are “formal” in the sense of constituting the form, not the matter of reality and they are “transcendental” inasmuch as they transcend the categorial distinctions between the denizens of reality, including that between existents and non-existents. I shall advocate a moderately particularist view about (external) nexuses and argue that it provides not only the best solution to Bradley’s regress, but also an elegant account of symmetrical (...) relations (both formal and material), as well as of temporal and modal change. These advantages are illustrated by the reconstruction of an Aristotelian ontology of exemplification involving substances, kinds and material attributes. (shrink)

Is everything about reality either qualitative or somehow determined by the qualitative character of reality itself? Metaphysical anti-Haecceitism is often taken to be the claim that this is the case, and to entail that reality is fundamentally qualitative. In this paper, I (1) argue against the idea that metaphysical anti-Haecceitism should be characterized in such terms, and (2) defend a novel way to phrase such a view. This will be done by taking the main arguments for anti-Haecceitism as a guide (...) and by singling out the proper commitments of a view that satisfies thedesideratumset forth by such arguments. The phrasing I shall offer will help tell the issue of anti-Haecceitism apart from some concerns about fundamentality that, I will contend, are orthogonal to it—among them, the question whether there is fundamentality at all. (shrink)

Is everything about reality either qualitative or somehow determined by the qualitative character of reality itself? Metaphysical anti-Haecceitism is often taken to be the claim that this is the case, and to entail that reality is fundamentally qualitative. In this paper, I (1) argue against the idea that metaphysical anti-Haecceitism should be characterized in such terms, and (2) defend a novel way to phrase such a view. This will be done by taking the main arguments for anti-Haecceitism as a guide (...) and by singling out the proper commitments of a view that satisfies the desideratum set forth by such arguments. The phrasing I shall offer will help tell the issue of anti-Haecceitism apart from some concerns about fundamentality that, I will contend, are orthogonal to it—among them, the question whether there is fundamentality at all. (shrink)

The dogma that the propositional logic of metaphysical modality is S5 is rebutted. The author exposes fallacies in standard arguments supporting S5, arguing that propositional metaphysical modal logic is weaker even than both S4 and B, and is instead the minimal and weak metaphysical-modal logic T.

David Lewis holds that a single possible world can provide more than one way things could be. But what are possible worlds good for if they come apart from ways things could be? We can make sense of this if we go in for a metaphysical understanding of what the world is. The world does not include everything that is the case—only the genuine facts. Understood this way, Lewis's “cheap haecceitism” amounts to a kind of metaphysical anti-haecceitism: it says there (...) aren't any genuine facts about individuals over and above their qualitative roles. (shrink)

On its usual interpretation, the Barcan Formula—◊∃_xB_ → ∃_x_◊_B_—says that, if there could have been something that is such and such a way, then there is something that could have been that way. It is traditionally held that contingentist actualists should—indeed, must—reject the Barcan Formula. I argue that contingentist actualists should—indeed, must—endorse the Barcan Formula, at least assuming a standard, Tarskian conception of truth and truth preservation. I end by proposing a logic for contingentist actualists that validates the Barcan Formula. (...) This logic has the surprising feature of also validating the Converse Barcan Formula, □∀_xB_ → ∀_x_□_B_, while still invalidating related formulas—such as □∀_x_□∃_y x_ = _y_ (NNE)—that contingentist actualists should reject. It does this by employing models with fixed domains but assignments to the identity predicate that vary across worlds. (shrink)

Discussions of the evidential argument from evil generally pay little attention to how different models of divine providence constrain the theist's options for response. After describing four models of providence and general theistic strategies for engaging the evidential argument, I articulate and defend a definition of 'gratuitous evil' that renders the theological premise of the argument uncontroversial for theists. This forces theists to focus their fire on the evidential premise, enabling us to compare models of providence with respect to how (...) plausibly they can resist it. I then assess the four models, concluding that theists are better off vis-à-vis the evidential argument if they reject meticulous providence. (shrink)

In recent papers, Philip Swenson (2016) has argued that presentism is incompatible with the conjunction of libertarianism and divine foreknowledge, and Michael Rea (2006) has argued that presentism is incompatible with the conjunction of libertarianism and bivalence. In this paper, I respond to Swenson’s and Rea’s arguments. In each case, I develop a parody argument that seeks to show that actualism -- the view that everything is actual -- is inconsistent with the conjunction of (in the case of Rea) libertarianism (...) and bivalence and the conjunction of (in the case of Swenson) libertarianism and divine foreknowledge. Seeing how these parody arguments using actualism go wrong helps us see how the arguments using presentism go wrong. I conclude that we have not yet been provided with a sound argument that presentism is inconsistent with the conjunction of libertarianism and bivalence or that presentism is inconsistent with the conjunction of libertarianism and divine foreknowledge. (shrink)

This paper concerns a distinction between circumstantial truths that hold because of the circumstances and acircumstantial truths that hold regardless of, or transcend, the circumstances. Previous discussions of the distinction tended to focus on its applications, such as to modality, logical truth, and essence. This paper focuses on developing the distinction largely, but not entirely, in abstraction from its potential applications. As such, the paper’s main contribution is to further clarify the distinction itself. An indirect contribution is to help guide (...) its future applications. (shrink)

This paper is concerned with two concepts of qualitativeness that apply to intensional entities. I propose an account of pure qualitativeness that largely follows the traditional understanding established by Carnap, and try to shed light on its ontological presuppositions. On this account, an intensional entity is purely qualitative iff it does not ‘involve’ any particular. An alternative notion of qualitativeness—which I propose to refer to as a concept of strict qualitativeness—has recently been introduced by Chad Carmichael. However, Carmichael’s definition presupposes (...) a highly fine-grained conception of properties and relations. To eliminate this presupposition, I tentatively suggest a different definition that rests on a concept of perspicuous denotation. In the penultimate section, both concepts of qualitativeness are put to work in distinguishing between different ‘grades’ of qualitative discriminability. (shrink)