According to directionalism, non-symmetric relations are distinct from their converses. Kit Fine (2000) argues that the directionalist faces a dilemma; they must either (i) reject the principle Uniqueness, which states that no completion (fact, state of affairs, or proposition) is a completion of more than one relation, or (ii) reject the principle Identity, which states that each completion of a relation is identical to a completion of its converse (e.g., Dante’s loving Bice is identical to Bice’s being loved by Dante). (...) Fine’s argument has been regarded as a decisive blow to directionalism. But new strategies for replying to it can be developed with the tools of the postmodal metaphysician, who is comfortable individuating relations and their completions hyperintensionally, allowing for necessary connections between distinct entities, and making use of hyperintensional notions like essence and grounding. In what follows, I develop postmodal strategies for denying both horns of Fine’s dilemma, concluding that the postmodal directionalist need not be concerned with Fine’s argument. (shrink)

It is a metaphysical orthodoxy that interesting non-symmetric relations cannot be reduced to symmetric ones. This orthodoxy is wrong. I show this by exploring the expressive power of symmetric theories, i.e. theories which use only symmetric predicates. Such theories are powerful enough to raise the possibility of Pythagrapheanism, i.e. the possibility that the world is just a vast, unlabelled, undirected graph.

Maureen Donnelly’s (2016) relative positionalism correctly handles any fixed arity relation with any symmetry such a relation can have, yielding the intuitively correct way(s) in which that relation can apply. And it supplies an explanation of what is going on in the world that makes this the case. But it has at least one potential shortcoming — one that its opponents are likely to seize upon: it can only handle relations with fixed arities. It is unable to handle relations with (...) variable arities. I argue that, all else being equal, relative positionalism ought nonetheless to be preferred to its closest competitors — at least to the extent that the explanation it supplies of relational application is plausible — even though those competitors can handle variable arity relations in addition to fixed arity relations. (shrink)

The trope bundle theories of objects are capable of analyzing monadic inherence (objects having tropes), which is one of their main advantage. However, the best current trope theoretical account of relational tropes, namely, the relata specific view leaves relational inherence (a relational trope relating two or more entities) primitive. This article presents the first trope theoretical analysis of relational inherence by generalizing the trope theoretical analysis of inherence to relational tropes. The analysis reduces the holding of relational inherence to the (...) obtaining of certain other facts about entities of the trope theoretical category system. Moreover, I show that the analysis can deal with asymmetric and non-symmetric relations by assuming that all relation-like tropes are quantities. Finally, I provide an account of the spatial location of tropes in the difficult case in which tropes contribute to determining of the location of other entities. (shrink)

How we talk about relations has a great influence on how we think about relations. By saying that Spain defeated the Netherlands we obviously say something entirely different from saying that the Netherlands defeated Spain. This makes many of us think that in the underlying relation itself one of the relata comes first and the other comes second. However, there are good reasons to view the order as a representational artifact. In this paper I present a new logic that allows (...) us to think and talk about relations in a coordinate-free manner. The logic is minimalistic in the sense that it has no predicates except equality, but its expressive power is the same as that of first-order predicate logic. (shrink)

I reconsider in this article the problem of the Holy Trinity from the standpoint of some recent theories of the ontology of relations. After having presented the problem and after having introduced some basic ontological concepts, I shall briefly dwell on the ontology of non-symmetrical relations and on the O-Roles theory suggested by Francesco Orilia. Afterwards, I shall develop my own solution to the problem of the Holy Trinity by exploring the status of Intratrinitarian relations and of divine Persons. Among (...) other things, I shall defend the thesis that divine Persons are not substances, but peculiar modes of God. I shall also ground the distinction between the properties attributed to God himself and the ones attributed to specific divine Persons. Finally, I shall anticipate and face some objections against my account and argue that it is legitimate to maintain that there is no kind of persons in general—which is a consequence of my view. (shrink)

2020 update of the entry "Properties".

Trope theories aim to eschew the primitive dichotomy between characterising (properties, relations) and characterized entities (objects). This article (in Finnish) presents a new trope theoretical analysis of relational inherence as the best way out of the impasse created by the alleged necessity to choose between an eliminativist and a primitivist ("relata-specific") view about relations in trope theory.

I shall explore in this article the metaphysical possibility of powers’ strongly emerging from relations. After having provided a definition of emergent powers that is also based on the distinction between the possession and the activation of a power, I shall introduce different sorts of Relations that Ground Emergence, both external and internal. Later on, I shall discuss some examples of powers that are grounded on their instantiation. Finally, I shall examine the consequences of accepting such relations within a physicalistic (...) ontology and I shall defend them against two objections based on the notion of bruteness. (shrink)

Jeffrey King, Scott Soames, and others have recently challenged the familiar identification of a Russellian proposition, such as the proposition that Brutus stabbed Caesar, with an ordered sequence constructed out of objects, properties, and relations. There is, as they point out, a surplus of candidate sequences available that are each equally serviceable. If so, any choice among these candidates will be arbitrary. In this paper, I show that, unless a controversial assumption is made regarding the nature of nonsymmetrical relations, none (...) of the proffered candidate sequences are in fact adequate to the play the role. Moreover, as I argue, the most promising alternative theory of relations—one that avoids the problematic assumption and, in addition, fits most naturally into the sequentialist’s framework—fails to meet a basic requirement: it cannot distinguish between the proposition that Brutus stabbed Caesar and the proposition that Caesar stabbed Brutus. The upshot is that the conspicuously structured entities that are widely assumed to be up to the task of “playing the proposition role” shed no light on the very structure they are invoked to represent. (shrink)

The purpose of this thesis is to provide a metaphysic for moral realism and moral perception. This thesis is in two parts. The first is concerned with basic ontology. I begin in chapter 1 with an analysis of causation, demonstrating that substance theory is superior to Humeanism at accounting for our observations; thus I defend a substance ontology. In chapter 2, I address human agency, demonstrating that reasons internalism does not allow for incompatibilist freedom; hence, I affirm reasons are states (...) of affairs. I move on to qualia in chapter 3, demonstrating that arguments both for and against qualia realism involve question begging. In response, I argue that qualia realism is just as reasonable as anti-realism, and affirm realism. Given this, I address the mind-body problem in chapter 4, demonstrating the failure of physicalists to account for mental causation. I conclude that panpsychism, idealism, and substance dualism are equal reasonable alternatives: each allows for intrinsic properties, which are integral to substance ontology. The second part builds a moral ontology, along with an account of moral perceptual knowledge, compatible with the above basic ontology. In chapter 5, I reject moral properties as monadic since this would bar mapping moral concepts onto mind-independent reality. Instead, I argue that moral properties are relations. More specifically, in chapter 6, I make the case that they are features of relations, relations themselves being the total complex states of affairs between one or more substances. This allows moral properties to have their own nonreducible phenomenal quality. To account for moral normativity, I argue that moral features are actually a class of causal features, and briefly argue that final causes determine the normative causal trajectory of all substances. In chapter 7, I conclude this thesis with addressing possible objections to my theory of perception and perceptual knowledge. (shrink)

Philosophy and Phenomenological Research, EarlyView.

A new logic is presented without predicates—except equality. Yet its expressive power is the same as that of predicate logic, and relations can faithfully be represented in it. In this logic we also develop an alternative for set theory. There is a need for such a new approach, since we do not live in a world of sets and predicates, but rather in a world of things with relations between them.

I examine and discuss in this paper Orilia’s theory of external, non-symmetrical relations, that is based on ontological roles (O-Roles). I explore several attempts to interpret O-Roles from an ontological viewpoint and I reject them because of two problems concerning the status of asymmetrical relations (to be distinguished from non-symmetrical relations simpliciter) and of exemplification as an external, non-symmetrical relation. Finally, following Heil’s and Lowe’s characterization of modes as particular properties that ontologically depend on their “bearers”, I introduce relational modes (...) in order to define a new solution to the problems of the ontological status of both external, non-symmetrical relations and O-Roles. I also deal with five objections raised by Fraser MacBride against relational modes and O-Roles and I elaborate an analysis of the relations of being to the left of and being to the right of. (shrink)

Relationism holds that objects entirely depend on relations or that they must be eliminated in favour of the latter. In this article, I raise a problem for relationism. I argue that relationism cannot account for the order in which non-symmetrical relations apply to their relata. In Section 1, I introduce some concepts in the ontology of relations and define relationism. In Section 2, I present the Problem of Order for non-symmetrical relations, after distinguishing it from the Problem of Differential Application. (...) I also examine four main existing strategies to solve it. In Section 3, I develop my argument. The first step consists in arguing that—among those strategies—relationism can only accept directionalism. The second step consists in arguing that directionalism is affected by a serious problem: the Problem of Converses. I also show that relationists who embrace directionalism cannot solve this problem. In Section 4, I introduce and rebut several strategies on behalf of relationists to cope with my argument. In Section 5, I briefly draw some conclusions. (shrink)

In this paper I provide a state of the art survey and assessment of the contemporary debate about relations. After (1) distinguishing different varieties of relations, symmetric from non-symmetric, internal from external relations etc. and relations from their set-theoretic models or sequences, I proceed (2) to consider Bradley’s regress and whether relations can be eliminated altogether. Next I turn (3) to the question whether relations can be reduced, bringing to bear considerations from the philosophy of physics as well as metaphysics. (...) Finally, (3) I consider in what sense relations have order, and whether to make sense of this we are required to conceive of relations as having direction or argument positions. (shrink)

I shall explore in this article the hypothesis that structures are relations between the components of complex entities. After having introduced hylomorphism, its major advantages and the major views of the nature of structures, I shall introduce the distinctions between external and internal relations and the one between symmetrical and non-symmetrical relations. I shall also describe the theory of non-symmetrical relations that I accept, i.e., the O-Roles theory, as most structures seem to be external and non-symmetrical relations. Later on, I (...) shall develop my hypothesis and I shall deal with one objection, i.e., that relations necessarily come together with Bradley's vicious regress. Finally, I shall also hypothesize that complex entities are different from structures and from their structured components. In this respect, I shall defend a " simple view " of complex entities. Dwelling on this view, I shall also reply to some recent objections against hylomorphism. (shrink)

Non-symmetric relations like loves or between can apply to the same relata in non-equivalent ways. For example, loves may apply to Abelard and Eloise either by Abelard’s loving Eloise or by Eloise’s loving Abelard. On the standard account of relations, different applications of a relation to fixed relata are distinguished by the direction in which the relation applies to the relata. But neither Directionalism nor its most popular rival, Positionalism, offer accounts of differential application that generalize to relations of arbitrary (...) symmetry structure. Here, I develop an alternative account, Relative Positionalism, which distinguishes different applications of a relation to fixed relata in terms of the ways in which the relata are characterized relative to one another. In presenting and defending Relative Positionalism, this paper covers some of the same ground as my [2016], but avoids the latter’s algebraic approach and focuses on interpretative issues—in particular, how to make sense of relative property instantiation—that were not addressed in the earlier paper. (shrink)

If Sophroniscus is the father of Socrates, then Socrates is the son of Sophroniscus. If Socrates is similar to Plato, then Plato is similar to Socrates. But how many relations does Sophroniscus and Socrates being so related involve? How many does Plato and Socrates being thus related? Is there a difference between the two cases? These are questions that have featured prominently in discussions of relations in recent years, but they are by no means new. Focusing on a text by (...) the later Archbishop of Canterbury, Robert Kilwardby, this paper explores some of the replies and main arguments advanced by a number of philosophers working in the Latin west in the mid-to-late thirteenth century. (shrink)