Cody Gilmore

Slot theory is the view that (i) there exist such entities as argument places, or ‘slots’, in universals, and that (ii) a universal u is n-adic if and only if there are exactly n slots in u. This chapter argues that those who take properties and relations to be abundant, fine-grained, non-set-theoretical entities face pressure to be slot theorists. It is noted that slots permit a natural account of the notion of adicy. The chapter then considers a series of ‘slot-free’ accounts of that notion and argues that each of them has significant drawbacks.

Eliminativist microphysical nihilism (EMN) is the view that there are many submicroscopic simples but no other material objects, and neither you nor I nor any ordinary objects exist. I defend a Cogito-based argument against EMN: (1) I am conscious; (2) if so, then I exist; therefore (3) I exist. I address those who deny (1) but concede that some surrogate is certain. The surrogates I consider include: <if all the simples were just as they actually are but these simples composed something, I would be conscious>, <some things are collectively conscious>, <there is an experience>, <this is an experience>, and <these are collectively conscious>. I offer an abductive argument for the view, Cartesianism, that (1) itself is certain. I specify four logically complex propositions about consciousness that everyone should take to be certain, and I argue that Cartesianism better explains the certainty of these four propositions than its EMN-friendly alternatives. I call the argument the Abductive Meta-Cogito.

There are possible worlds in which time is circular and finite in duration, forming a loop of, say, 12,000 years. There are also possible worlds in which time is linear and infinite in both directions and in which history is repetitive, consisting of infinitely many 12,000-year epochs, each two of which are exactly alike with respect to all intrinsic, purely qualitative properties. Could one ever have empirical evidence that one inhabits a world of the first kind rather than a world of the second kind? We argue for the affirmative answer, contra Quine, Newton-Smith, and Bergström. Our argument for that conclusion differs from an argument for the same conclusion due to Weir. Weir’s argument is probabilistic and explicitly requires having evidence against determinism. Our argument is a direct appeal to the simplicity of laws, and it involves no probabilistic component. It is modeled on Shoemaker’s argument that one could have evidence of time without change.

Ned Markosian has recently defended a new theory of composition, which he calls regionalism : some material objects xx compose something if and only if there is a material object located at the fusion of the locations of xx. Markosian argues that regionalism follows from what he calls the subregion theory of parthood. Korman and Carmichael agree. We provide countermodels to show that regionalism does not follow from, even together with fourteen potentially implicit background principles. We then show that regionalism does follow from five of those background principles together with and two additional principles connecting parthood and location, which we call and. While the additional principles are not uncontroversial, our conjecture is that many will find them attractive. We conclude by mentioning that fills a previously unnoticed gap in the formal theory of location presented in Parsons.

Yuri Balashov has argued that endurantism isuntenable in the context of Minkowskispacetime. Balashov's argument runs through twomain theses concerning the relation ofcoexistence, or temporal co-location. (1)Coexistence must turn out to be an absolute or objective matter; and inMinkowski spacetime coexistence must begrounded in the relation of spacelikeseparation. (2) If endurantism is true, then(1) leads to absurd conclusions; but ifperdurantism is true, then (1) is harmless. Iobject to both theses. Against (1), I arguethat coexistence is better construed as beingrelative to a hyperplane of simultaneity.Against (2), I argue that the consequences of(1) given endurantism are no worse than theconsequences of (1) given perdurantism.

My dissertation divides into four parts, each of which consists of two chapters. ;Part I sets up the issues to be dealt with in the remainder of the dissertation. Chapter One introduces the central presuppositions and primitive notions upon which I rely thereafter. Chapter Two offers a new taxonomy of views about persistence. Whereas the traditional taxonomy recognizes just one distinction---namely, the 3D v. 4D distinction---my new taxonomy recognizes two quite separate distinctions: the distinction between objects that persist by being temporally extended and objects that persist without being temporally extended , and the distinction between objects that persist by having temporal parts and objects that persist without having temporal parts . ;Part II is concerned with extended simples---extended material objects that have no proper parts. Chapter Three criticizes a series of existing considerations for and against the possibility of such objects and concludes that this possibility has been neither established nor refuted. Chapter Four presents a new problem for the possibility of extended simples. ;Part III deals with some issues arising from the possibility of co-location , multi-location and time travel. Chapter Five proposes a solution to a newly uncovered problem for any type of entity that is capable of both multi-location and co-location. Chapter Six raises a new, time travel-based problem for worms. ;Part IV deals with questions about persistence and composition in the relativistic context of Minkowski spacetime. Chapter Seven criticizes a recent argument for the conclusion that only the 4D or worm view is tenable in Minkowski spacetime. Chapter Eight poses a new problem for the conjunction of the following views: there are composite material objects, persisting material objects are saints, not worms, and spacetime is Minkowskian.

I formulate an account, in terms of essence and ground, that explains why atomic Russellian propositions have the truth conditions they do. The key ideas are that (i) atomic propositions are just 0-adic relations, (ii) truth is just the 1-adic version of the instantiation (or, as I will say, holding) relation (Menzel 1993: 86, note 27), and (iii) atomic propositions have the truth conditions they do for basically the same reasons that partially plugged relations, like being an x and a y such that Philip gave x to y, have the holding conditions they do. The account is meant to be mainly of intrinsic interest, but I hope that it goes some distance toward answering an objection to classical theories of propositions put forward by King (2014), who writes that ‘since the classical conception of propositions as things that have truth conditions by their very natures and independently of minds and languages is incapable of explaining how or why propositions have truth conditions, it is unacceptable’ (2014: 47). Propositions do have their truth conditions ‘by their very natures’ and ‘independently of minds and languages’. But a fact about a given entity can hold by the very nature of that entity without being a fundamental fact. I argue that this is plausibly the case for atomic Russellian propositions and the facts about their truth conditions. A fact about the truth conditions of such a proposition holds by the very nature of the given proposition but is metaphysically grounded in facts about that proposition’s parts and their essences. If my account is correct, then the supposedly intractable problem of explaining why the given propositions have the truth conditions they do reduces to the problem of explaining why relations have the holding essences they do, which few seem to have found worrisome

Do Russellian propositions have their constituents as parts? One reason for thinking not is that if they did, they would generate apparent counterexamples to plausible mereological principles. As Frege noted, they would be in tension with the transitivity of parthood. A certain small rock is a part of Etna but not of the proposition that Etna is higher than Vesuvius. So, if Etna were a part of the given proposition, parthood would fail to be transitive. As William Bynoe has noted (speaking of facts rather than propositions), they would seem to violate certain supplementation principles. Consider the singular proposition, concerning identity, that it is identical with itself. Given the relevant form of Russellianism, this proposition would have identity as a proper part, but it would not have any parts disjoint from identity, and indeed it would not have even a single pair of disjoint parts, in violation of various supplementation principles. This chapter offers a unified solution to the problems about transitivity and supplementation. One key ingredient in the solution is the view that parthood is a four-place relation expressed by ‘x at y is a part of z at w’. Another key ingredient is the view that the semantic contents of predicates and sentential connectives have ‘slots’ or ‘argument positions’ in them. (Both ingredients are independently motivated elsewhere.) Four-place analogues of the transitivity and supplementation principles are set out, and it is argued that these are not threatened by the examples from Frege and Bynoe.

Relativity theory is often said to support something called ‘the four-dimensional view of reality’. But there are at least three different views that sometimes go by this name. One is ‘spacetime unitism’, according to which there is a spacetime manifold, and if there are such things as points of space or instants of time, these are just spacetime regions of different sorts: thus space and time are not separate manifolds. A second is the B-theory of time, according to which the past, present, and future are all equally real and there is nothing metaphysically special about the present. A third is perdurantism, according to which persisting material objects are made up of different temporal parts located at different times. We sketch routes from relativity to unitism and to the B-theory. We then discuss some routes to perdurantism, via the B-theory and via unitism

David Lewis defends the following "non-circular definition of personhood": "something is a continuant person if and only if it is a maximal R-interrelated aggregate of person-stages. That is: if and only if it is an aggregate of person-stages, each of which is R-related to all the rest (and to itself), and it is a proper part of no other such aggregate." I give a counterexample, involving a person who is a part of another, much larger person, with a separate mental life. I then offer an easy repair, which preserves the virtues of Lewis's definition without introducing any new vices.

Existing puzzles about coinciding objects can be divided into two types, corresponding to the manner in which they bear upon the endurantism v. perdurantism debate. Puzzles of the first type, which involve temporary spatial co-location, can be solved simply by abandoning endurantism in favor of perdurantism, whereas those of the second type, which involve career-long spatial co-location, remain equally puzzling on both views. I show that the possibility of backward time travel would give rise to a new type of puzzle. The new puzzles confront perdurantists and can be solved just by shifting to endurantism

What is it for a thing to be dead? Fred Feldman holds, correctly in my view, that a definition of ‘dead’ should leave open both (1) the possibility of things that go directly from being dead to being alive, and (2) the possibility of things that go directly from being alive to being neither alive nor dead, but merely in suspended animation. But if this is right, then surely such a definition should also leave open the possibility of things that go directly from being dead to being neither alive nor dead, but merely in suspended animation. I show that Feldman’s own definition of ‘dead’ (in terms of ‘lives’ and ‘dies’) does not leave this possibility open. I propose a new definition that does.

Slot theory is the view that (i) there exist such entities as argument places, or ‘slots’, in universals, and that (ii) a universal u is n-adic if and only if there are n slots in u. I argue that those who take properties and relations to be abundant, fine-grained, non-set-theoretical entities face pressure to be slot theorists. I note that slots permit a natural account of the notion of adicy. I then consider a series of ‘slot-free’ accounts of that notion and argue that each of them has significant drawbacks.

Speaks defends the view that propositions are properties: for example, the proposition that grass is green is the property being such that grass is green. We argue that there is no reason to prefer Speaks's theory to analogous but competing theories that identify propositions with, say, 2-adic relations. This style of argument has recently been deployed by many, including Moore and King, against the view that propositions are n-tuples, and by Caplan and Tillman against King's view that propositions are facts of a special sort. We offer our argument as an objection to the view that propositions are unsaturated relations.

Immanent universals, being wholly present wherever they are instantiated, are capable of both multi-location and co-location. As a result, they can become involved in some bizarre situations, situations whose contradictory appearance cannot be dispelled by any of the relativizing maneuvers familiar to metaphysicials as solutions to the problem of change. Douglas Ehring takes this to be a fatal problem for immanent universals, but I do not. Although the old relativizing maneuvers don't solve the problem, I propose a new one that does. I spend half the paper defending the proposed solution against objections, and in the course of this task I touch upon such topics as backward time travel and the distinction between universals and particulars. I close by putting forward -- merely as an option -- a new way to draw the distinction in question.

Many philosophers have thought that the problem of personal identity over time is not metaphysically deep. Perhaps the debate between the rival theories is somehow empty or is a ‘merely verbal dispute’. Perhaps questions about personal identity are ‘nonsubstantive’ and fit more for conceptual analysis and close attention to usage than for theorizing in the style of serious metaphysics, theorizing guided by considerations of systematicity, parsimony, explanatory power, and aiming for knowledge about the objective structure of the world. I discuss a thesis about consciousness according to which there are perfectly natural phenomenal properties. Although I do not argue for this thesis, I believe that it is plausible, whether or not physicalism is true. Given the thesis, there are deep, substantive questions about which individuals or pluralities instantiate the relevant phenomenal properties. Equally substantive questions can then be asked about the duration and other spatiotemporal characteristics of those individuals or pluralities, both in actual cases and in hypothetical puzzle cases adapted from the personal identity literature. I suggest that, at least prima facie, these questions interact with our future-directed egoistic concern in much the same way that the personal identity question is often thought to. As a slogan: “you give me substantive, determinate facts about consciousness; I give you substantive, determinate facts about personal identity”

Endurantism, the view that material objects are wholly present at each moment of their careers, is under threat from supersubstantivalism, the view that material objects are identical to spacetime regions. I discuss three compromise positions. They are alike in that they all take material objects to be composed of spacetime points or regions without being identical to any such point or region. They differ in whether they permit multilocation and in whether they generate cases of mereologically coincident entities.

Weak Supplementation (WSP) is the view that if a thing x has a part y with which x is not identical, then x has a part z that does not overlap y. I note that there is a slightly weaker principle, Quasi-Supplementation (QS), which says that that if a thing x has a part y with which x is not identical, then x has at least two parts, z and w, that do not overlap each other. I then argue that QS has WSP’s main virtues while avoiding its main vices. That is the primary aim of this paper. A secondary aim is to explore some potential applications of QS. I note that QS can be used in (i) an argument from a plenitudinous form of coincidentalism to the non-existence of simples and the ‘strong gunkiness’ of all things, (ii) an argument in the other direction—from the possibility of simples to the conclusion that plenitudinous coincidentalism is not necessary, and (iii) arguments for and against certain constituent ontologies, according to which ordinary concrete particulars have formal components.