Markku Keinänen

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.

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

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.

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.

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.

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.

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.

This article presents a trope bundle theory of simple substances, the Strong Nuclear Theory[SNT] building on the schematic basis offered by Simons's (1994) Nuclear Theory[NT]. The SNT adopts Ellis's (2001) dispositional essentialist conception of simple substances as powerful particulars: all of their monadic properties are dispositional. Moreover, simple substances necessarily belong to some natural kind with a real essence formed by monadic properties. The SNT develops further the construction of substances the NT proposes to obtain an adequate trope bundle theory of powerful particulars. The SNT allows for co-located powerful particulars. However, every powerful particular is necessarily co-located with its constituent tropes, which determine its causal powers. Every constituent trope of substance i is part of a trope aggregate (the n-bundle or c-bundle) that forms an individual figuring in the basic spatio-temporal relations. The location of these individuals determines the location of individual tropes. Since they are necessarily co-located with substance i when they exist, every trope t of i is necessarily co-located with i when it exits. Every simple substance has nuclear tropes necessary to it. It belongs to certain primary natural kind K because its nuclear tropes belong to certain distinct determinate kinds

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).

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.

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.

According to Lowe’s Four-Category Ontology, the general nature of the entities belonging to the four fundamental categories is determined by the basic formal ontological relations (instantiation and characterization) that they bear to other entities. I argue that, in closer analysis, instead of one formal relation of characterization, this category system introduces two, one connecting particulars and another universals. With regard to the characterization relation connecting particulars, it remains an open issue whether it would need further analysis. By contrast, the status of instantiation as an internal relation is comparatively clear. Nevertheless, because of holding by virtue of the essences of particulars, the holding of instantiation between universals and particulars rules out the possibility of kind change and entails that particulars are essentially rigidly dependent on universals. Finally, Lowe’s analysis of necessary exemplification gives us some reasons to suspect that some property universals need not have any instances in order to exist.

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.

In Lowe’s Four-Category Ontology, instantiation is a basic formal ontological relation between particulars (objects, modes) and their kinds (kinds, attributes). Therefore, instantiation must be considered as a metaphysically necessary relation, which also rules out the metaphysical possibility of kind change. Nevertheless, according to Lowe, objects obtain their identity conditions in a more general level than specific natural kinds, which allows for kind change. There also seems to be actual examples of kind change. The advocate of Four-Category Ontology is obliged to resolve the tension between these mutually incompatible claims. In this article, we argue that the only viable option for the advocate of Four-Category Ontology is to bite the bullet and stick to the necessity of each of the most specific natural kind to the object instantiating it. As a major drawback, the four-category ontologist does not have any credible means to allow for kind change or determination of the identity conditions in a more general level.

According to standard trope nominalism, there are simple tropes that do not have parts or multiply distinct aspects. Douglas Ehring’s reductio ad absurdum against this standard view concludes that there are no simple tropes. In this paper, we provide a response to Ehring defending the standard view. Ehring’s argument may be refuted by (1) distinguishing the ontological form of tropes from their contribution to the ontological content of the world, and (2) construing tropes as having primitive identity. At the same time, standard trope nominalism is elaborated on by distinguishing between ontological form and content, for which there are also independent reasons.

In this paper, we argue for a novel three-dimensionalist solution to the problem of persistence, i.e. cross-temporal identity. We restrict the discussion of persistence to simple substances, which do not have other substances as their parts. The account of simple substances employed in the paper is a trope-nominalist strong nuclear theory, which develops Peter Simons' trope nominalism. Regarding the distinction between three dimensionalism and four dimensionalism, we follow Michael Della Rocca's formulation, in which 3D explains persistence in virtue of same entities and 4D in virtue of distinct entities. SNT is a 3D'ist position because it accounts for the persistence of simple substances in virtue of diachronically identical ‘nuclear’ tropes. The nuclear tropes of a simple substance are necessary for it and mutually rigidly dependent but distinct. SNT explains qualitative change by tropes that are contingent to a simple substance. We show that it avoids the standard problems of 3D: temporal relativization of ontic predication, Bradley's regress and coincidence, fission and fusion cases. The temporal relativization is avoided because of the analysis of temporary parts that SNT gives in terms of temporal sub-location, which is atemporal part–whole relation.

[A comment paper on Tuomas Tahko's book An Introduction to Metametaphysics (CUP, 2016).] Pyrin tässä artikkelissa selvittämään, missä määrin Tuomas Tahkon kirjan An Introduction to Metametaphysics luvussa 9 esittämä käsitys tieteen ja metafysiikan suhteesta tuo selvyyttä metafysiikan luonteeseen itsenäisenä tutkimusalana. Analyyttinen metafysiikka on joutunut viimeisten viidentoista vuoden aikana kasvavan kritiikin kohteeksi. James Ladymanin (2012) mukaan viime aikoina suosittu käsitys metafyysisen teorian valinnasta teoreettisten hyveiden perusteella kohtaa niin sanotun vahvan globaalin alimääräytyneisyyden ongelman. Tahko pyrkii vastaamaan näihin huoliin esittämällä synteesiin E.J. Lowen metafysiikkakäsityksen ja Laurie Paulin (2002) esittämien ideoiden välillä. Argumentoin, että Tahkon vastaus on sikäli puutteellinen, että se jättää avoimeksi kysymyksen parhaan ontologisen kategoriajärjestelmän valinnasta. Teen ehdotuksia siitä, miten voimme välttää alimääräytyneisyyshuolen myös tässä tapauksessa.

The goal of formal ontological inquiry is to reveal the categorial structure of the mind-independent reality. In the first part of this article, I criticize two popular ways to study the categorial structure, Strong and Weak Modelling. In the second part of the article, I present my positive account. The systematic description of the different kinds of entities assumed by our commonsense conceptions forms a starting-point of the study of the categorial structure of the world. However, it is the task of Revisionary Metaphysics to seek for the best conception of the categorial structure. Revisionary Metaphysics proceeds as testing alternative conceptions of the categorial structure. The main new contribution of the article is to propose certain general principles for the comparison of such alternative conceptions.

We argue that if one wishes to be a realist, one should adopt a Neo-Aristotelian ontology involving tropes instead of a Russellian ontology of property universals and objects. Either Russellian realists should adopt the relata-specific relational tropes of instantiation instead of facts, or convert to Neo-Aristotelian realism with monadic tropes. Regarding Neo-Aristotelian realism, we have two novel points why it fares better than Russellian realism. Instantiation of property universals by tropes and characterization or inherence between tropes and objects are more transparent ontological notions than relational inherence, which is assumed in Russellian realism with the relational tropes of instantiation. Neo-Aristotelian realism makes better sense about abstract universals, which are a more viable option than concrete universals.