Relations

The core of a Trinitarian model is the internal layout of intra-Trinitarian relations. Depending on different metaphysical interpretations of the nature of the relations, various patristic authors have produced different and oftentimes incompatible Trinitarian models, and, consequently, conflicting expositions of the doctrine of the Trinity. In order to elucidate the differences in their Trinitarian theologies, I demonstrate the divergence in their understanding of the divine relations using the contemporary philosophical taxonomy of relations. I analyze the models of Basil of Caesarea, (...) Gregory Nazianzen, and Boethius, and their attempted synthesis by Thomas Aquinas. Each of the patristic Trinitarian models, in spite of being fully orthodox, uses completely different types of relations, which makes them incompatible. One of the results of this incompatibility is the problem of the filioque, which cannot be resolved without addressing the metaphysics of relations. (shrink)

This is partly fictional. It is chiefly a reconstruction (not always faithful) of Hume’s fundamental uses of notions of similarity, mostly based on Enquiry. It is the first part (out of four) of a monograph on the evolution of similarity toolmaking. Histories of doctrines are common in our discipline, not so for histories of tools; this is what it’s about. What’s disturbing: I write as if I were talking about the customs and beliefs of ancient tribes instead of real philosophers. (...) Advantages: helps focus on what similarity tools are apt to, I don’t have to worry about my Hume being merely MY Hume; more fun. Here is the thematic layout: 1.1: (very fictional) methodological introduction; page 2. 1.2: on the origin of ideas + missing shade of blue; p. 4. 1.3: the Xenophobia model; p. 12. 1.4: case studies of cognitive trickery; p. 16 : 1.4.1: arguments from experience; p. 17. 1.4.2: the idea of necessary connection; p. 21. 1.4.3: abstract and very general ideas; p. 23. 1.5: conceptual distinctions between used similarity tools and a few comments; p. 29. (shrink)

In this talk, I propose a new account of ontological form, formal ontological relations, modes of being and hence of specifying the subject matter of metaphysics.

I argue that it is metaphysically necessary that: (i) every fundamental entity is conscious, and (ii) every fundamental property is a phenomenal property.

Universals are putative objects like wisdom, morality, redness, etc. Although we believe in properties (which, we argue, are not a kind of object), we do not believe in universals. However, a number of ordinary, natural language constructions seem to commit us to their existence. In this paper, we provide a fictionalist theory of universals, which allows us to speak as if universals existed, whilst denying that any really do.

Maureen Donnelly has recently argued that directionalism, the view that relations have a direction, applying to their relata in an order, is unable to properly treat certain symmetric relations. She alleges that it must count the application of such a relation to an appropriate number of objects in a given order as distinct from its application to those objects in any other ordering of them. I reply by showing how the directionalist can link the application conditions of any fixed arity (...) relation, no matter its arity or symmetry, and its converse(s) in such a way that directionalism will yield the correct ways in which it can apply. I thus establish that directionalism possesses the same advantage Donnelly's own account of relations, relative positionalism, has over traditional positionalist accounts of relations, which do not properly treat symmetric relations. I then note some advantages that directionalism has over its closest competitors. This includes Donnelly's relative positionalism, since directionalism is not, like relative positionalism, committed to the involvement of relative properties in every irreducibly relational claim. I close by conceding that, as Donnelly notes, directionalism is committed to the primitive relation of order-sensitive relational application. But I don't find this notion as mysterious as Donnelly does. I conclude that, even if one construes this feature of directionalism as a drawback, the two views are at worst at a draw, other things being equal, since this drawback is mitigated by the advantage directionalism has over relative positionalism. (shrink)

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 . (shrink)

In this review I take to task the related views of E.J. Lowe, John Heil and Peter Simons according to which relations don't exist because they're dispensable qua truth-makers. I argue that this view is methodologically unstable because we also have reason to believe that relations exist because our best mathematical and scientific theories say so, i.e. quantify over them.

‘Substance’ (substantia, zelfstandigheid) is a key term of Spinoza’s philosophy. Like almost all of Spinoza’s philosophical vocabulary, Spinoza did not invent this term, which has a long history that can be traced back at least to Aristotle. Yet, Spinoza radicalized the traditional notion of substance and made a very powerful use of it by demonstrating – or at least attempting to demonstrate -- that there is only one, unique substance -- God (or Nature) -- and that all other things are (...) merely modes or states of God. Some of Spinoza’s readers understood these claims as committing him to the view that only God truly exists, and while this interpretation is not groundless, we will later see that this enticing and bold reading of Spinoza as an ‘acosmist’ comes at the expense of another audacious claim Spinoza advances, i.e., that God/Nature is absolutely and actually infinite. But before we reach this last conclusion, we have a long way to go. So, let me first provide an overview of our plan. In the first section of this paper we will examine Spinoza’s definitions of ‘substance’ and ‘God’ at the opening of his magnum opus, the Ethics. Following a preliminary clarification of these two terms and their relations to the other key terms defined at the beginning of the Ethics, we will briefly address the Aristotelian and Cartesian background of Spinoza’s discussion of substance. In the second section, we will study the properties of the fundamental binary relations pertaining to Spinoza’s substance: inherence, conception, and causation. The third section will be dedicated to a clarification of Spinoza’s claim that God, the unique substance, is absolutely infinite. This essential feature of Spinoza’s substance has been largely neglected in recent Anglo-American scholarship, a neglect which has brought about an unfortunate tendency to domesticate Spinoza’s metaphysics to more contemporary views. The fourth section will study the nature of Spinoza’s monism. It will discuss and criticize the interesting yet controversial views of the eminent Spinoza scholar, Martial Gueroult, about the plurality of substances in the beginning of the Ethics; address Spinoza’s claim in Letter 50 that, strictly speaking, it is improper to describe God as “one”; and, finally, evaluate Spinoza’s kind of monism against the distinction between existence and priority monism recently introduced into the contemporary philosophical literature. The fifth and final section will explain the nature, reality, and manner of existence of modes. We therefore have an ambitious plan; let’s get down to business. (shrink)

F. H. Bradley’s relation regress poses a difficult problem for metaphysics of relations. In this paper, we reconstruct this regress argument systematically and make its presuppositions explicit in order to see where the possibility of its solution or resolution lies. We show that it cannot be answered by claiming that it is not vicious. Neither is one of the most promising resolutions, the relata-specific answer adequate in its present form. It attempts to explain adherence (relating), which is a crucial component (...) of the explanandum of Bradley’s relation regress, in terms of specific adherence of a relational trope to its relata. Nevertheless, since we do not know the consequences and constituents of a trope adhering to its specific relata, it remains unclear what specific adherence is. It is left as a constitutively inexplicable primitive. The relata-specific answer only asserts against Bradley. This negative conclusion highlights the need for a metaphysical account of the constitution of the holding of adherence. (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)

I shall refine in this article Jaegwon Kim's theory of events by appealing to modes, i.e., particular properties that also depend on their 'bearers' for their identity. Events will turn out to be occurrent modes, i.e., relational modes having further modes and times as their relata. In Section 1 I shall briefly present Kim's theory and some difficulties that affect it. In Section 2, after having made some preliminary assumptions on modes and universals, I shall introduce occurrent modes. In Section (...) 3 I shall show how my theory can deal with the difficulties discussed in Section 1. (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.

Foundational relations play an important role in the ontological foundations of conceptual modeling. Their investigation has been theoretically addressed in philosophical/ontological theories, and empirically offered in foundational ontologies (FOs). FOs are comprehensive theories that model the world as top-level entities and relations. Empirically, for modelers aiming to use foundational relations without an urge for entity types, FOs seem to be complex to comprehend, comply with, and integrate in practice. And since the practice of these relations is critical for conceptual modeling (...) tasks, we present an approach that builds a well-founded entity-type free relations theory within a first-order-logic formalization, besides large complex FOs. The theory contributes to a minimal set of foundational ontological relations (FORT) by importing extant theories (mereotopology and location) and (re-)formalizing other relations (dependence, membership, constitution, and entity-location), while no FO has compromised this set. (shrink)

Hume’s account of contrariety in Book I of the Treatise poses several interpretive puzzles. I consider each in turn and offer a novel interpretation of contrariety based on Hume’s discussion of the passions. That Book II and Book I form a complete chain of reasoning suggests that the way in which passions are related is analogous to the way in which ideas are related in the understanding. I argue that Hume identifies three species of empirical contrariety in Book II: contraries, (...) oppositions, and contradictions. All three species help clarify Hume’s remarks concerning contrariety in Book I. I further identify a second genus I call logical contrariety by drawing on Hume’s discussion of fictitious duration and distance. (shrink)

Since the publication of Hume’s Treatise, scholars have been divided on how to interpret the ontology of Humean relations. In particular, is Hume’s theory of relations consistent with positivism, (skeptical) realism, or anti-realism? In this essay, I propose a novel distinction separating impressions and ideas from relations such that relations are construed as forming a distinct category equal to impressions and ideas. In so doing, I interpret Hume as fundamentally agnostic toward the ontology of relations.

Contrary to widely shared opinion in analytic metaphysics, E.J. Lowe argues against the existence of relations in his posthumously published paper There are probably no relations (2016). In this article, I assess Lowe’s eliminativist strategy, which aims to show that all contingent “relational facts” have a monadic foundation in modes characterizing objects. Second, I present two difficult ontological problems supporting eliminativism about relations. Against eliminativism, metaphysicians of science have argued that relations might well be needed in the best a posteriori (...) motivated account of the structure of reality. Finally, I argue that, by analyzing relational inherence, trope theory offers us a completely new approach to relational entities and avoids the hard problems motivating eliminativism. (shrink)

The book aims to examine how a Trinitarian Theism can be formulated through the elaboration of a Relational Ontology and a Trinitarian Metaphysics, in the context of a hyperphatic epistemology. This metaphysics has been proposed by some supporters of the so-called Open Theism as a solution to the numerous dilemmas of Classical Theism. The hypothesis they support is that the Trinitarian nature of God, reflected in a world of multiplicity, relationality, substance and relations, demands that we think of God as (...) dynamic, internally multiple and relational. However, if the expression «God is love» – understood as the formula of the Trinity – is the key to a new theism, it leaves a problem open: how can it be translated philosophically? The research develops on two different levels: first, it assesses whether the expression should be translated into the Trinitarian paradigm, and the aporias it generates; secondly, it tries to assess whether this paradigm (eminently relational) has a correspondence in ontology: is there a satisfactory Relational Metaphysics already available? The suspicion is that such Trinitarian-Relational Ontology, invoked by many as a solution to the incongruities of classical theism, has yet to be formulated in a satisfactorily manner, despite the existence of various attempts to formulate Relational Ontologies. In order to provide an evaluation of all these attempts and to outline some possible new perspectives, the thesis consists of five chapters. It is the aim of the present dissertation to evaluate such attempts, and to outline some possible new solutions. In the chapters some points have been established: 1. there must be at least one irreducible real relation (non-reductionist realism); 2. the relation must be equally fundamental to the substance: this means that it is both external and internal; 3. this relation must be able to account for contingent causality; 4. holism is a plausible position; 5. the Trinity is a good theistic model of the divine, apophatic but rational. The last chapter then returns to ontological questions: several Relational Ontologies are examined – including ontic structural realism and process (or eventist) ontology – together with their applications in philosophy of religion (e.g.: the Relational God, Process Trinitarianism, the Entangled God). This assessment shows how all these ontologies postulate real transcendental relations (subsistent relations), inside the substances or inside the powers, inside the tropes or the structures, describing them as monads or processes (or actual occasions). These relations are the same we need to describe the Trinity. Therefore, they are either possible for both domains – ontology and theology – or they are both impossible. It has been opted for the second conclusion. But they are both impossible and inevitable: the fundamental entities of the world and their interactions (causation) must be described as real transcendental relations because each ontology transforms entities or relations into real transcendental relationships at some point. Thus, neither relationalism nor substantialism are convincing: from the fall of these two dogmas (or, rather, from the fall of their naive interpretations) we can realise that the fundamental reality is something that lies between processism (relationalism) and substantialism. It is impossible to completely substitute the notion of substance with the notion of event, process, structure or relation, both in speaking of God and in speaking about the entities of fundamental ontology. Neither monism nor pluralism can be affirmed in their pure forms. The hypothesis proposed, then, is that the notion of gunk-junk is the only one that can translate the relationality hitherto sought in an ontological model. The central part of the chapter describes the merits and defects of an eventist-infinitive ontology (EIO) based on the concept of gunk, and its potentiality to generate new theistic accounts. Through the notion of infinityings it seems to be possible to find some solutions for the questions left open by the causal relation, and therefore to defend at least the existence of one relation (external and internal). Each fundamental entity is described, in this ontology, through four transcendentals: ‘entity’, ‘relation’, ‘unity’ and ‘multiplicity’. The co-primarity between substance and relations (borrowed from the notion of relatio subsistens) differentiates EIO from the process philosophies precisely because it does not pretend to eliminate the substantial principle, or the category of substance, but wants to think of it with the transcendental of relationality. Of course, EIO poses a challenge to the role, the method and the explicative capacity of metaphysics, because what we can state of the fundamental reality is antinomic. EIO tries to assume the antinomy as a result, to make it the basis of a kind of apophatic ontology. If our best ontology is gunky, then it is possible to confirm what has been said in chap. 4: the ‘how’ of individual substances is unknown to us at least as much as the ‘how’ of God. Even in the world we have the mystery of a distinction that is not division. However, the convergence of these antinomies can find an ultimate explanation in a theistic metaphysics (EIM): God creates inside of Himself and his Trinitarian substance is “contracted” into the worldly entities. They are made contingent and ontologically different by this self-limitation, but it is still the infinity of God that makes space in Himself for something new, even though He is totally present in every entity. It is not absurd to think that the substances of the world keep track of the divine nature, even in His “contraction”. Among the characteristics of the divine nature that each created entity maintains we have the subsistent relationality, the pericoretic indwelling (the infinite gunk-junk), the fact of being always one-and-many. If EIO and EIM are accepted as a good compromise between relationalism and substantialism, even in their apophaticity, then, on this basis, a Trinitarian Philosophy is possible. The picture of reality that emerges represents the world as multiple, substantial, contingent and intrinsically relational, forcing us to postulate the transcendental of relationality and multiplicity. Such transcendental leads us to think of the world and God (and their relations) in a Trinitarian way – With the necessary acknowledgement that this is a reasonable but apophatic discourse. (shrink)

There is a tension in Santayana's ontological system, one that is generated by the interactions of his doctrine of existence, doctrine of systematization, and critical agnosticism on the infinity of material substance. From and, in conjunction with what will be called the expansionist postulate, an infinite material expansion is generated, one that is in conflict with. This tension is remediated by a coherentist proposal regarding Santayanan existence, the relevant feature of which is that existents at distinct orders of organization are (...) in symmetrical dependence relations. "Metaphysical coherentism," which has recently been described as "one of the least explored areas in contemporary... (shrink)

The model of a closed linear measure space, which can be used to model Aristotle’s treatment of motion (kinesis), can be analogically extended to the qualitative ‘spaces’ implied by his theory of contraries in Physics I and in Metaphysics Iota, and to the dimensionless ‘space’ of the unity of matter and form discussed in book Eta of the Metaphysics. By examining Aristotle’s remarks on contraries, the subject of change, continuity, and the unity of matter and form, Aristotle’s thoughts on motion, (...) on contraries, and on the unity of substance can be brought together under a single interpretive framework, which can provide an approach to interpreting his ontology. (shrink)

It has been argued recently that classical theism and Lewisian modal realism are incompatible theses. The most substantial argument to this effect takes the form of a trilemma. It argues that no sense can be made of God’s being a necessary being in the modal realistic picture, on pain of, among other things, modal collapse. The question of this essay is: Is that so? My goal here is to detail the reasons that have been offered in support of this contention (...) and then defend the coherence of theistic modal realism from the trilemma. I call my reply to the argument an “Anselmian-Thomistic” defense, since it appeals to resources from classical medieval philosophy, especially from Anselm and Aquinas. (shrink)

David Hume's early philosophy appeals to fiction and artifice to explain several important features in our cognitive and social activity. In this dissertation, I develop a typology of Humean fictions and artifices to clarify and render his account consistent. In so doing, I identify a special class of fictions I divide into natural fictions and natural artifices. I argue that this special class of cognitive and social fictions represents a significant break with prior English-speaking philosophers, such as Francis Bacon and (...) John Locke, in so far as these fictions and artifices of the imagination are recognized as natural, irresistible, and pragmatically useful in human cognition and social activity. That fictions and artifices are naturally generated by the imagination in epistemic and moral contexts, I argue, is a watershed discovery in the history of philosophy. Indeed, it is a philosophical conclusion that poses serious, perhaps fatal, problems for philosophers who espouse thoroughgoing realist positions. More broadly, Hume's pursuit of applying the experimental method to the moral subject reveals that human nature is mightily governed by the imagination, and that fictions and artifices are ubiquitous across the domains of science, morality, theology, logic, mathematics, and philosophy. For that reason, I suggest Hume ought to be recognized as a central figure in the history of philosophical fictionalism. Specifically, via a comparative analysis of Hume and Hans Vaihinger, I make the case that Hume functions as a vital link between Hobbes, Berkeley, and Kant in the development of early modern fictionalism. (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)

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)

I present in this article a new theory of structural properties or, more precisely, of structural kinds, such as being methane. According to this theory, structural kinds are kinds that are both emergent and sustained in their existence. In the first section, I introduce structural properties and four problems that affect the most widely held conception of them, namely, the pictorial conception. In the second section, I introduce some theses about emergence, powers, emergent powers, relations and structures that I have (...) defended in other works and that constitute the basis on which my theory of structural kinds is built up. In the third section, I eventually develop my theory in full detail and show how it can solve the problems mentioned in the second section. Finally, in the fourth section, I face five objections and briefly compare my account with some other accounts of structural properties. (shrink)

The thesis I wish to argue for in this article is that spatial relations such as occupying and being 1 km distant from are external. In the “Section 1” section, I shall introduce the distinction between external and internal relations and some other basic concepts in the ontology of relations. Afterwards, in the subsequent sections, I shall deal with different theories of space: substantivalism and relationism ; the spatial property theory ; super-substantivalism and super-relationism ; and spatial essentialism. I shall (...) demonstrate that, in all such theories, spatial relations need to be considered external. Otherwise, unacceptable consequences or spatial properties that are non-relational by mere façon de parler are in order. Finally, in the “Section 6” section, I shall briefly tackle length contraction in special relativity theory. (shrink)

I offer in this article an account of the distinction between intrinsic and extrinsic properties based on the ontology of modes. Modes are particular properties that directly depend for their identity on their "bearers". In Section 1, I shall introduce the ontology of modes. In Section 2, I shall examine the problem of distinguishing between intrinsic and extrinsic properties by considering another, related problem: that of distinguishing between internal and external relations. In Section 3, I shall present my own account (...) and I shall also single out different degrees of intrinsicality and extrinsicality. In Section 4, I shall deal with missing-relatum modes, namely, with modes that lack specific relata, such as Othello's loving someone. I shall introduce three different theories to deal with them. Finally, in Section 5, I shall solve some problems affecting the intrinsic/extrinsic distinction from the standpoint of my account. (shrink)

Mechanisms are organized collections of objects and activities that underlie certain phenomena/behaviours. In this article, I shall argue that the organizations of mechanisms should be thought of as external relations, namely, as relations that do not entirely depend on their relata’s existence, nor on their natures, nor on their intrinsic properties. After having introduced in the first two sections mechanisms and the ontology of relations, I shall analyse the organizations of mechanisms along four different dimensions: spatial, temporal, causal and hierarchical. (...) I shall demonstrate that each dimension requires that organizations be taken as external relations. Finally, in the last section, I shall anticipate and reply to two objections. (shrink)

‘Instantiation-directed slot theorists’ believe that properties/relations have slots which are filled by their instances/relata e.g., where Abigail is taller than Bronia, there are two slots in the relation Taller Than such that Abigail fills the first slot and Bronia fills the second. This crude statement of the theory runs into ‘The Problem of Filling’, whereby a natural understanding of the relation between slots, filling, and instantiation leads to absurd results. This paper examines a variety of solutions to that problem, one (...) of which is an extension of slot theory that adds an additional category of entities, ‘slotites’. (shrink)

This article analyses the relationship between the concept of single aspect similarity and proposed measures of similarity. More precisely, it compares eleven measures of similarity in terms of how well they satisfy a list of desiderata, chosen to capture common intuitions concerning the properties of similarity and the relations between similarity and dissimilarity. Three types of measures are discussed: similarity as commonality, similarity as a function of dissimilarity, and similarity as a joint function of commonality and difference. Relative to the (...) desiderata, it is found that a measure of the second type fares the best. However, rather than recommend this measure alone as a measure of similarity, it is suggested that there are at least three separate concepts of single aspect similarity, corresponding to the three types of measures. In light of this proposal, three of the eleven measures (and variants of these) are deemed acceptable. (shrink)

2020 update of the entry "Properties".

Quantum complementarity is interpreted in terms of duality and opposition. Any two conjugates are considered both as dual and opposite. Thus quantum mechanics introduces a mathematical model of them in an exact and experimental science. It is based on the complex Hilbert space, which coincides with the dual one. The two dual Hilbert spaces model both duality and opposition to resolve unifying the quantum and smooth motions. The model involves necessarily infinity even in any finitely dimensional subspace of the complex (...) Hilbert space being due to the complex basis. Furthermore, infinity is what unifies duality and opposition, universality and openness, completeness and incompleteness in it. The deduced core of quantum complementarity in terms of infinity, duality and opposition allows of resolving a series of various problems in different branches of philosophy: the common structure of incompleteness in Gödel’s (1931) theorems and Enstein, Podolsky, and Rosen’s argument (1935); infinity as both complete and incomplete; grounding and self-grounding, metaphor and representation between language and reality, choice and information, the totality and an observer, the basic idea of philosophical phenomenology. The main conclusion is: Quantum complementarity unifies duality and opposition in a consistent way underlying the physical world. (shrink)

This paper proposes an integrated-structure notion of interlevel emergence, from a dynamic relational ontological perspective. First, I will argue that only the individualist essentialism of atomistic metaphysics can block the possibility of interlevel emergence. Then I will show that we can make sense of emergence by recognizing the formation of structures of transformative and interdependent causal relations in the generation and development of a particular class of mereological complexes called integrated systems. Finally, I shall argue that even though the emergent (...) structural attributes of such systems are not micro-determined nor micro-reducible, they can still be accounted for by an interlevel integrative neo-mechanistic form of explanation. (shrink)

Ontological dependence is a relation—or, more accurately, a family of relations—between entities or beings. For there are various ways in which one being may be said to depend upon one or more other beings, in a sense of “depend” that is distinctly metaphysical in character and that may be contrasted, thus, with various causal senses of this word. More specifically, a being may be said to depend, in such a sense, upon one or more other beings for its existence or (...) for its identity. Some varieties of ontological dependence may be analyzed in modal terms—that is, in terms of distinctly metaphysical notions of possibility and necessity—while others seem to demand an analysis in terms of the notion of essence. The latter varieties of ontological dependence may accordingly be called species of essential dependence. Notions of ontological dependence are frequently called upon by metaphysicians in their proposed analyses of other metaphysically important notions, such as the notion of substance. (shrink)

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)

Absurdist accounts of life’s meaning posit that life is absurd because our pretensions regarding its meaning conflict with the actual or perceived reality of the situation. Relationary accounts posit that contingent things gain their meaning only from their relationship to other meaningful things. I take a detailed look at the two types of account, and, proceeding under the assumption that they are correct, combine them to see what the implications of such a combination might be. I conclude that another way (...) of looking at the absurdity of life is to see it as a conflict between our dual beliefs that there exist intrinsically meaningful contingent things, and that contingent things may only gain their meaning extrinsically through their relationships to other meaningful things. In this way, I provide another lens through which feelings of life’s absurdity may be interpreted and analysed: as the conflict between the simultaneous beliefs in both intrinsically and relationally meaningful contingent things. Looking through this lens gives us an entirely different framework for analysing life’s absurdity than that which Nagel described in 1971, providing opportunity for more potential avenues of analysis and discussion. (shrink)

This doctoral thesis is a philosophical investigation of the concept of curation. This research hinges its research problem of objects and relations around the hypothesis of “arrangement of objects” as the foundational premise for the study of curatorial practice. This problem of objects and relations is articulated through its how and what in the context of Arrangement of Objects in order to arrive at a comprehensive understanding of the concept of curating.

In this article, we present a new conception of internal relations between quantity tropes falling under determinates and determinables. We begin by providing a novel characterization of the necessary relations between these tropes as basic internal relations. The core ideas here are that the existence of the relata is sufficient for their being internally related, and that their being related does not require the existence of any specific entities distinct from the relata. We argue that quantity tropes are, as determinate (...) particular natures, internally related by certain relations of proportion and order. By being determined by the nature of tropes, the relations of proportion and order remain invariant in conventional choice of unit for any quantity and give rise to natural divisions among tropes. As a consequence, tropes fall under distinct determinables and determinates. Our conception provides an accurate account of quantitative distances between tropes but avoids commitment to determinable universals. In this important respect, it compares favorably with the standard conception taking exact similarity and quantitative distances as primitive internal relations. Moreover, we argue for the superiority of our approach in comparison with two additional recent accounts of the similarity of quantity tropes. (shrink)

The topic of the relationship between the organism and its environment runs through the theories of Uexküll, Goldstein and Canguilhem with equal importance. In this work a counterpoint will be established between their theories, in the attempt to assess at which points the melodies are concordant and at which points they are discordant. As fundamental basis to his theory, Uexküll relies on the concept of conformity to a plan, which allows him to account for the congruity and perfect adjustment between (...) organisms and their Umwelten. For Goldstein and Canguilhem, the relationship between an organism and its environment resembles instead a debate or coming to terms, in which the organism, as to ensure the continuity of the state of health, must constantly create norms to maintain a productive relationship with its environment. The pinpointing of these conceptual frameworks allows to lay emphasis on that each theory relies on specific assumptions regarding teleology and sense in organisms, as well as on specific definitions of the concept of life in general. Ultimately, the view that organisms and their environments have an original and common source, a principle, or plan, which must possess all the creative characteristics of life, will be seen as prevailing. (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)

1. La estructura como problema filosófico 2. Teorías metafísicas de la estructura 2.1. La concepción intrínseca de la estructura 2.2. Como parte sui-generis 2.3. La concepción extrínseca de la estructura 3. Conclusiones Referencias.

In 1924 B.Russell wrote that the issue of relations is one of the most important in philosophy, and that many unresolved philosophical problems depends on how relations are understood. Such observation is more than still fundamental for the contemporary philosophical agenda: ontology, philosophy of religion and other fields of theoretical inquiry require to account for the very nature of what a relation is and how it works. The present edited collection is a fresh contribution to the international debate. Leading scholars (...) from all over the world address the topic from different viewpoint: history of philosophy, ontology, philosophy of religion, and history of religious doctrines. (shrink)

Kit Fine (2000) breaks with tradition, arguing that, pace Russell (e.g., 1903: 228), relations have neither directions nor converses. He considers two ways to conceive of these new "neutral" relations, positionalism and anti-positionalism, and argues that the latter should be preferred to the former. Cody Gilmore (2013) argues for a generalization of positionalism, slot theory, the view that a property or relation is n-adic if and only if there are exactly n slots in it, and (very roughly) that each slot (...) may be occupied by at most one entity. Slot theory (and with it, positionalism) bears the full brunt of Fine's (2000) symmetric completions and conflicting adicities problems. I fully develop an alternative, plural slot theory (or pocket theory), which avoids these problems, key elements of which are first considered by Yi (1999: 168 ff.). Like the slot theorist, the pocket theorist posits entities (pockets) in properties and relations that can be occupied. But unlike the slot theorist, the pocket theorist denies that at most one entity can occupy any one of them. As a result, she must also deny that the adicity of a property or relation is equal to the number of occupiable entities in it. By abandoning these theses, however, the pocket theorist is able to avoid Fine's problems, resulting in a stronger theory about the internal structure of properties and relations. Pocket theory also avoids a serious drawback of anti-positionalism. (shrink)

In this paper, I elaborate on the Strong Nuclear Theory (SNT) of tropes and substances, which I have defended elsewhere, using my metatheory about formal ontology and especially fundamental ontological form. According to my metatheory, for an entity to have an ontological form is for it to be a relatum of a formal ontological relation or relations jointly in an order. The full fundamental ontological form is generically identical to a simple formal ontological relation or relations jointly in an order. (...) Regarding generic identity, I follow Fabrice Correia and Alexander Skiles, who consider it a form of generalized identity as distinguished from numerical identity. The SNT states that for any trope to have the full fundamental ontological form is for it to be a strongly rigidly or generically (existentially) dependent individual simple part. Therefore, the common dichotomous set-up of asking whether tropes are fundamentally properties rather than objects or vice versa is a non-starter to me in formal ontological terms. The elaboration of the SNT also supplies me with the resources to respond to the arguments against tropes by Douglas Ehring, Robert K. Garcia and Herbert Hochberg. Finally, I argue that non-fundamentally but necessarily, every trope is a proper part of a substance and is concrete in the SNT. (shrink)

In this paper, we discern different types of possible relations. We focus on the distinction between internal and external relations and their various possible sub-types. In the first section, we present what is nowadays more or less the standard distinction between internal and external relations. In the second section, we make two contributions to the literature of internal relations: a new taxonomy of internal relations and a novel distinction between formal and material ontological relations. In the third section, we discuss (...) three distinctions among external relations, in particular the distinction between relata-specific and relata-unspecific relations. We argue that relata-specific external relations are a promising but incomplete solution to the vexed problem of Bradley’s relation regress. (shrink)

This paper evaluates the argument for the contradictoriness of unity, that be- gins Priest’s recent book One. The argument is seen to fail because it does not adequately differentiate between different forms of unity. This diagnosis of the argument’s failure is used as a basis for two consistent accounts of unity. The paper concludes by arguing that reality contains two absolutely fundamental and unanalysable forms of unity, which are in principle presupposed by any theory of anything. These fundamental forms of (...) unity are closely related to the unity of propositions and facts. (shrink)