Most of the theories of location on the market appear to be ideologically parsimonious at least in the sense that they take as primitive just one locative notion and define all the other locative notions in terms of it. Recently, however, the possibility of some exotic metaphysical scenarios involving gunky mixtures and extended simple regions of space has been argued to pose a significant threat to parsimonious theories of locations. The aim of this paper is to show that a theory (...) taking as primitive a notion of plural pervasive location and allowing for irreducibly plural locative facts can account for all the putatively problematic scenarios for parsimonious theories of location. Furthermore, I will also argue that the notion of plural pervasive location is compatible with the possibility of multilocation. (shrink)

This paper considers what function—if any—colocation of bodies may have in the Stoic theory of blending (κρᾶσις), by examining (1) whether colocation is part of the definition of what blending is; and (2) whether colocation is posited by the Stoics as a requirement necessary for the definition to be satisfied. I reconstruct the standard, Chrysippean definition of blending, and I show that the answer to (1) is ‘no’; further, I argue that the evidence gives no reason to affirm (2). Thus, (...) it appears that colocation does not have a central function in the Stoic theory of blending. (shrink)

This paper argues that all of the standard theories about the divisions of space and time can benefit from, and may need to rely on, parsimony considerations. More specifically, whether spacetime is discrete, gunky or pointy, there are wildly unparsimonious rivals to standard accounts that need to be resisted by proponents of those accounts, and only parsimony considerations offer a natural way of doing that resisting. Furthermore, quantitative parsimony considerations appear to be needed in many of these cases.

It would be a good thing to have at our disposal a general theory of location that is neutral with respect to the view that some objects have more than one exact location, the view that some objects are located without having an exact location, and the view that some objects are “spanners”—where a spanner is an object exactly located at a region that has proper parts but which has no proper part exactly located at a proper part of the (...) region. As far as I know, no theory of location that can be found in the literature has this feature. I put forward a new theory that does—or so I argue. The theory takes as its sole locational primitive the notion of being entirely located at. (shrink)

The Stoics are famously committed to the thesis that only bodies are, and for this reason they are rightly called “corporealists.” They are also famously compared to Plato’s earthborn Giants in the Sophist, and rightly so given their steadfast commitment to body as being. But the Stoics also notoriously turn the tables on Plato and coopt his “dunamis proposal” that being is whatever can act or be acted upon to underwrite their commitment to body rather than shrink from it as (...) the Giants do. The substance of Stoic corporealism, however, has not been fully appreciated. This paper argues that Stoic corporealism goes beyond the dunamis proposal, which is simply an ontological criterion for being, to the metaphysics of body. This involves, first, an account of body as metaphysically simple and hence fundamental; second, an account of body as malleable and continuous, hence fit for blending (krasis di’ holou) and composition. In addition, the metaphysics of body involves a distinction between this composition relation seen in the cosmology, and the constitution relation by which the four-fold schema called the Stoic Categories proceeds, e.g. the relation between a statue and its clay, or a fist and its underlying hand. It has not been appreciated that the cosmology and the Categories are distinct — and complementary — explanatory enterprises, the one accounting for generation and unity, the other taking those individuals once generated, and giving a mereological analysis of their identity and persistence conditions, kinds, and qualities. The result is an elegant division of Plato’s labor from the Battle of Gods and Giants. On the one hand, the Stoics rehabilitate the crude cosmology of the Presocratics to deliver generation and unity in completely corporeal terms, and that work is found in their Physics. On the other hand, they reform the Giants and “dare to corporealize,” delivering all manner of predication (from identity to the virtues), and that work is found in Stoic Logic. Recognizing the distinctness of these explanatory enterprises helps dissolve scholarly puzzles, and harmonizes the Stoics with themselves. (shrink)

In its simplest form, a Spritz is an aperitif made with (sparkling) water and (white) wine. A ‘gunky Spritz’, as I will call it, is a Spritz in which the water and the wine are mixed through and through, so that every proper part of the Spritz has a proper part containing both water and wine. In the literature on the notion of location the possibility of mixtures like a gunky Spritz has been thought of as either threatening seemingly intuitive (...) locative principles, or as requiring the position of multiple primitive locative relations. In this paper I present a new theory of location which assumes as primitive only the notion of pervasive location and show that it can account for the possibility of gunky Spritz in an intuitive and adequate way. (shrink)

Recently, many philosophers have been interested in using locative relations to clarify and pursue debates in the metaphysics of material objects. Most begin with the relation of exact location. But what if we begin instead with the relation known as weak location – the relation an object x bears to any region not completely bereft of x? I explore some of the consequences of pursuing this route for issues including coincidence, extended simples, and endurance, with an eye to evaluating the (...) prospects for taking weak location as our fundamental locative relation. (shrink)

In the analysis of Anaxagoras’ physics in view of the relation between his teachings on multitude and heterogeneity, two central questions emerge: 1) How can the structure of the universe considered purely mereo-topologically help us explain that at the first cosmic stage no qualitative difference is manifest in spite of the fact that the entire qualitative heterogeneity is supposedly already present there? 2) How can heterogeneity become manifest at the second stage, resulting from the noûs intervention, if according to fragment (...) B 6 such a possibility requires the existence of “the smallest”, while according to the general principle stated in fragment B 3 there is not “the smallest” but always only “a smaller”? This paper showcases the perplexity of these two questions but deals only with the former. The answer follows from Anaxagoras’ being a thoroughgoing infinitist in the way in which no Greek physicist was: the principle of space isotropy operative in geometry is extended to physics as well. So any two parts of the original mixture are similar to each other not only in view of the smaller-larger relation but also because each contains everything that the other one contains. This in effect means that at the stage of maximal possible heterogeneity each part of any part contains infinitely many heterogeneous parts of any kind whatsoever. So, neither can there be homogeneous parts in view of any qualitative property, nor can there be predominance in quantity of parts of any kind that would make some property manifest. (shrink)

This paper rehabilitates the Stoic conception of blending from the ground up, by freeing the Stoic conception of body from three interpretive presuppositions. First, the twin hylomorphic presuppositions that where there is body there is matter, and that where there is reason or quality there is an incorporeal. Then, the atomistic presupposition that body is absolutely full and rigid, and the attendant notion that resistance (antitupia) must be ricochet. I argue that once we clear away these presuppositions about body, the (...) foundations of Stoic corporealism fall into place. Body is fundamental (not hylomorphic). The two fundamental principles (archai) are bodies: divine active reason (logos) and passive matter (hulē); and these two bodies are two, not matter and form all over again, nor actual and potential, but agent and patient. The independence of the two archai is no threat to the unity of the cosmos, however, because the Stoic theory of body allows for the complete coextension of the archai. The hylomorphic thinker rightly asks, what relation could be tighter than that of the wax and its shape? The Stoic replies: a causal relation, the interaction of agent and patient completely coextended in a through and through blend. (shrink)

Sources for Stoicism present conflicting accounts of the Stoic principles. Some suggest that the principles are inseparable from each other. Others suggest that they are separable. To resolve this apparent interpretive dilemma, I distinguish between the functions of the principles and the bodies that realize those functions. Although the principles cannot separate when realizing their roles, the Stoic theory of blending entails that the bodies that realize those roles are physically separable. I present a strategy for further work on the (...) principles in light of this interpretation. (shrink)

In Stoic physics, blending (κρᾶσις) is the relation between active pneuma and passive matter; natural bodies from rocks and logs to plants, animals and the cosmos itself are blends of pneuma and matter. Blending structures the Stoic cosmos. I develop a new interpretation of the Stoic theory of blending, based on passages from Hierocles. The theory of blending, I argue, has been misunderstood. Hierocles allows us to see in detail how the theory is supposed to work and how it fits (...) into Stoic physics. (shrink)

Chrysippus often talks as if there is a third option when we might expect that two options in response to a question are exhaustive. Things are true, false or neither; equal, unequal, or neither; the same, different, or neither.. and so on. There seems to be a general pattern here that calls for a general explanation. This paper offers a general explanation of this pattern, preserving Stoic commitments to excluded middle and bivalence, arguing that Chrysippus employs this trichotomy move when (...) he wishes to argue that apparent contradictories are only contraries, and wishes to endorse a third option. This general explanation of the pattern of trichotomies sheds light on a number of interpretive puzzles, including on Chrysippus's response to the paradox of the cone. The purpose of these trichotomies is also discussed, and it is suggested that they originate from the dialectical context in which philosophical problems were posed. (shrink)

Void is at the heart of Stoic metaphysics. As the incorporeal par excellence, being defined purely in terms of lacking body, it brings into sharp focus the Stoic commitment to non-existent Somethings. This article argues that Stoic void, far from rendering the Stoic system incoherent or merely ad hoc, in fact reflects a principled and coherent physicalism that sets the Stoics apart from their materialist predecessors and atomist neighbors.

El principal objetivo de este artículo es estudiar la respuesta de Aristóteles y del estoico Crisipo a un problema metafísico que ha sido descuidado en estudios recientes de la filosofía natural antigua. El problema se refiere a la generación de los llamados cuerpos homogéneos complejos. Si, como so..

Are there any non‐composite objects? Are there any objects every part of which is composite? Are items of either kind even possible? What would they be like? Of what significance would they be? How best can we come to have reasonable beliefs about the answers to these inquiries? Such questions – about the actuality and possibility, the analysis and significance, the methodology and epistemology of simples and pieces of gunk – have been center stage in recent contemporary analytic metaphysics. The (...) following article provides a general overview of some of the current debates on their proper answers as well as a pair of slightly more detailed investigations into two issues of special interest in the recent literature devoted to these topics. (shrink)

Kit Fine distinguishes between inexact and exact truthmaking. He argues that the former can be defined from the latter, but not vice versa, and so concludes that truthmaker semanticists should treat the exact variety of truthmaking as primitive. I argue that this gets things backwards. We can define exact truthmaking in terms of inexact truthmaking and we can’t define inexact truthmaking in terms of exact truthmaking. I conclude that it’s inexact truthmaking, rather than exact truthmaking, that truthmaker semanticists should treat (...) as the primitive semantic relation. (shrink)

Apeiron Issue: Ahead of print. This paper is dedicated to exploring the alleged difference between Cleanthes’ and Chrysippus’ accounts of the post-mortal survival of the souls and the conceptions of personal identity that these accounts underpin. I argue that while Cleanthes conceptualised the personal identity as grounded in the rational soul, Chrysippus conceptualised it as an embodied rational soul. I also suggest that this difference between the two early Stoics might have been due to Chrysippus' metaphysical commitments arising from his (...) response to the Growing Argument put forth by the Academics rather than the critique of his teacher. (shrink)

All of the current leading theories of location are parsimonious: they have at most one locative primitive, and the definitions of all of the other locative relations appeal to nothing beyond that primitive, mereological properties and relations, and basic logic. I argue that if we believe there can be extended, mereologically simple regions, we can construct cases that are incompatible with every possible parsimonious theory of location. In these cases, an object is contained within a simple region that is larger (...) than the object; that is, there is some region, r, and some object, x, are such that every subregion of r fails to be completely free of x, yet x fails to fill r. I argue that we ought to respond to this incompatibility by rejecting the analytic possibility of extended, simple regions. (shrink)

Can material objects be weakly located at regions of spacetime and yet fail to be exactly located anywhere? In this paper, I discuss a case which, at least according to one interpretation, answers affirmatively: the case of blending gunky water and wine, in gunky space. Perhaps after such a blend, the water and wine aren't exactly located anywhere while being weakly located at the location of the blend and any region which overlaps it. I show that the case is interesting (...) and complicated, and has consequences for some ideas found in papers by Daniel Nolan and Josh Parsons. (shrink)

Say that mereological harmony is the view that there is at least some mirroring between the mereological structure of material objects and the mereological structure of their locations: each, in some way, mirrors the other. As it turns out, there is a confusing array of systems of harmony available to the substantivalist. In this paper, I attempt to bring some order to these systems. I explore some systems found in the literature, as well as some natural systems which haven’t been (...) discussed. Along the way, I explore a number of metaphysical consequences of the different systems of harmony. The paper ends with a roadmap of possible views for the substantivalist. (shrink)

Are there atoms in the constitution of things? Or is everything made of atomless ‘gunk’ whose proper parts have proper parts? Anaxagoras is the first gunk lover in the history of metaphysics. For him gunk is not only a theoretical possibility that cannot be ruled out in principle. Rather, it is a view that follows cogently from his metaphysical analysis of the physical world of our experience. What is distinctive about Anaxagoras’s take on gunk is not only what motives the (...) view, but also the particular type of gunk that he develops. It is qualitative gunk, rather than material gunk. Anaxagoras’s ontology was developed before matter was ‘invented’. It includes quality tropes only; they are gunky. The resulting metaphysical view – a world of qualitative gunk – is new, in the sense of being hitherto unexplored; and yet, it is derived from Anaxagoras’s writings. Drawing on Anaxagoras’s insights, this paper offers a sketch of what qualitative gunk ontology l.. (shrink)

According to one of the more popular endurantist packages on the market, a package I will call multilocational endurantism, enduring objects are exactly located at multiple instantaneous regions of spacetime. However, for all we know, the world might turn out to be spatiotemporally gunky and spatiotemporal gunk entails that this package is false. The goal of this paper is to sketch a view which retains the spirit of multilocational endurantism while also recognizing the possibility of certain types of objects which (...) endure through gunk. (shrink)