Markku Keinänen

In this chapter, we provide an opinionated introduction to contemporary trope bundle theories of substance. We assess different trope bundle theories on the grounds of their two main aims: to provide an adequate account of substances or objects by means of tropes and a reductive analysis of inherence, that is, object's having tropes as their properties. Our discussion begins by a presentation of Donald C. Williams’ and Keith Campbell's paradigmatic trope theories, which maintain that tropes are independent existents. After highlighting the central problems of paradigmatic trope theories, we discuss two more recent developments of trope bundle theory that also take non-relational tropes as independent existents, Anna-Sofia Maurin's and Douglas Ehring's independence theories. Finally, we present two alternative trope bundle theories, according to which tropes are dependent existents, dependence theories, namely, Arda Denkel's Saturation theory and our Strong Nuclear Theory (SNT). Although the latter two theories introduce existential dependencies among tropes, we argue that dependence theories provide a more satisfactory account of substances dividing into natural kinds than independence theories.

Ontologiset kategoriateoriat pyrkivät vastaamaan metafysiikan klassiseen ongelmaan: kysymykseen siitä, mihin eri kategorioihin oliot eli entiteetit jakaantuvat. Olioilla tarkoitetaan tässä mitä tahansa, joka on olemassa. Olevan kategoriat eli ontologiset kategoriat (lyhyesti kategoriat) ovat alustavasti olioiden hyvin yleisiä lajeja. Jäsenyys olioiden kategoriassa ei niinkään kerro sitä, mitä piirteitä oliolla on, vaan sen olemisen tavan ¬– miten se esimerkiksi on tai voi olla maailman rakenneosa. Esimerkkejä mahdollisista kategorioista ovat konkreettiset partikulaariset yksilöoliot (substanssit), ominaisuudet, relaatiot, prosessit, tapahtumat ja joukot. 1. Mitä ovat ontologiset kategoriateoriat 2. Uusaristoteelinen realismi 3. Russellilainen realismi 4. Universaalikimpputeoriat 5. Nominalismi: substanssi-modus-teoriat 6. Trooppiteoriat 7. Jyrkkä nominalismi 8. Tapahtuma- ja prosessiontologiat 9. Ontologisten kategorioiden tutkimus Suomessa 10. Suositeltavaa jatkolukemista 11. Lähteet

Formal ontology as a main branch of metaphysics investigates categories of being. In the formal ontological approach to metaphysics, these ontological categories are analysed by ontological forms. This analysis, which we illustrate by some category systems, provides a tool to assess the clarity, exactness and intelligibility of different category systems or formal ontologies. We discuss critically different accounts of ontological form in the literature. Of ontological form, we propose a character- neutral relational account. In this metatheory, ontological forms of entities are their standings in internal relations whose holding is neutral on the character of their relata. These relations are “formal ontological relations”. Entities belong to ontological categories because they stand in the same formal ontological relations. We hold a nominalist relationalism about ontological categories and forms. We conclude by showing that our metatheory is useful for understanding categorial fundamentality/non- fundamentality, different formal ontologies, and for unifying metaphysical questions.

In this article, we propose a new trope nominalist conception of determinate and determinable kinds of quantitative tropes. The conception is developed as follows. First, we formulate a new account of tropes falling under the same determinates and determinables in terms of internal relations of proportion and order. Our account is a considerable improvement on the current standard account (Campbell 1990; Maurin 2002; Simons 2003) because it does not rely on primitive internal relations of exact similarity or quantitative distance. The internal relations of proportion and order hold because the related tropes exist; no kinds of tropes need be assumed here. Second, we argue that there are only pluralities of tropes in relations of proportion and order. The tropes mutually connected by the relations of proportion and order form a special type of plurality, tropes belonging to the same kind. Unlike the recent nominalist accounts, we do not identify kinds of tropes with any further entities (e.g. sets) or abstractions from entities (e.g. pluralities of similar tropes).

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.

Is it possible to get by with just one ontological category? We evaluate L.A. Paul's attempt to do so: the mereological bundle theory. The upshot is that Paul's attempt to construct a one category ontology may be challenged with some of her own arguments. In the positive part of the paper we outline a two category ontology with property universals and kind universals. We will also examine Paul's arguments against a version of universal bundle theory that takes spatiotemporal co-location instead of compresence or coinstantiation as the feature by which we can identify genuine bundles. We compare this novel theory, bundle theory with kinds, and Paul's mereological bundle theory and apply them to a case study concerning entangled fermions and co-located bosons.

A specific variety of formal causation is dispositional essentialism. This chapter argues that dispositional essentialism is incompatible with any trope bundle theory committed to the primitive identity of tropes, such as Keith Campbell’s account and the authors’ own Strong Nuclear Theory. Dispositional essentialism would render at least some tropes identity-dependent on other tropes, while all tropes must be considered identity-independent existents in these trope theories. Furthermore, dispositional essentialism relies on the problematic notion of dispositional essence, and it remains unclear whether dispositional essentialism gains any ontological economy in comparison with the views taking laws of nature as primitive. Finally, the chapter outlines an alternative view based on Deborah Smith’s non-recombinational quidditism. According to it, tropes as determinate particular natures necessarily play certain nomological roles. It is argued that this might be completed with a new conception of tropes as parts of causal processes, which further clarifies the necessary connection between tropes and certain nomological roles.

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.

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.