Jani Hakkarainen

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 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.

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.

According to strong immanent realism, proposed for instance by David M. Armstrong, universals are concrete, located in their instances. E.J. Lowe and Douglas Ehring have presented arguments to the effect that strong immanent realism is incoherent. Cody Gilmore has defended strong immanent realism against the charge of incoherence. Gilmore’s argument has thus far remained unanswered. We argue that Gilmore’s response to the charge of incoherence is an ad hoc move without support independent of strong immanent realism itself. We conclude that strong immanent realism remains under the threat of incoherence posed by Lowe and Ehring.

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.

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.

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.

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 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 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. (You may access the published paper via the external link below.)

I defend a reading of David Hume’s nominalism that he comes close to Keith Campbell's contemporary trope theory in the specific case of spatial properties. I argue that Hume's view should be construed as classifying spatial properties as Campbellian tropes (particular properties): abstract, particular, determinate and qualitatively simple properties. This has implications for reconstructing Hume's answer to the problem of universals. I argue that Hume’s account of objects resembling each other in respect of spatial properties is grounded in the resemblance of tropes rather than in the resemblance of objects.

In this paper, I argue that Hume's solution to a problem that contemporary metaphysicians call “the problem of universals” would be rather trope-theoretical than some other type of nominalism. The basic idea in different trope theories is that particular properties, i.e., tropes are postulated to account for the fact that there are particular beings resembling each other. I show that Hume's simple sensible perceptions are tropes: simple qualities. Accordingly, their similarities are explained by these tropes themselves and their resemblance. Reading Hume as a trope nominalist sheds light on his account of general ideas, perceptions, relations and nominalism.

In this paper, I will reconstruct Hume's argument for the ontological (in the sense of rigid existential) independence of simple properties in A Treatise of Human Nature , Book 1 (1739). According to my reconstruction, the main premises of the argument are the real distinctness of every perception of a simple property, Hume's Separability Principle and his Conceivability Principle. In my view, Hume grounds the real distinctness of every perception of a simple property in his atomistic theory of sense perception and his Copy Principle. I will also show why Hume's argument should be seen as relevant nowadays. David Lewis and his followers in metaphysics continue Hume's line of thinking in this respect, which is opposed by power ontologists (Brian Ellis, Stephen Mumford), for example

Title in English translation: Metametaphysics - with and without Categories. A comment paper on An Introduction to Metametaphysics by Tuomas Tahko. Ehdotan artikkelissa uutta olevan ja sen muodon välistä erottelua. Erottelun avulla voidaan antaa täsmällinen käsitys ontologisen kategorian käsitteestä ja metafysiikan tutkimuskohteesta. Argumentoin myös, että metafysiikan epistemologiaa ja semantiikkaa sekä metafyysistä selitttämistä pitää lähestyä kategorianäkökulmasta. Artikkeli on kommentti Tuomas Tahkon oppikirjaan An Introduction to Metametaphysics.