The paper discusses some formal difficulties concerning the theory of universals of Trope-Only ontologies, from which the formal theory of predication advanced by Trope-Only theorists seems to be irremediably affected. It is impossible to lay out a successful defense of a Trope-Only theory without Russellian types, but such types are ontologically inconsistent with tropes’ nominalism. Historically, Tropists’ first way to avoid the problem is appealing to the supervenience claim, which however fails on its terms and, thus, fails as a ground (...) for a solution to the higher-order or ‘type’ problem. A later solution involves the invariance of primitive equivalence relations in order to make universals ontologically innocuous. However, I argue that this latter solution fails to meet the requirements imposed on an ontologically unbiased nominalist attitude. So, this paper discusses how Trope-Only theories alter standard formal moves in Nominalism, and also is interested in clarifying further the formal assumptions for these problems. (shrink)

Some revisionary ontologies are highly parsimonious: they posit far fewer entities than what we quantify over in ordinary discourse. The most radical examples are minimal ontologies, on which physical simples are the only things that exist. Highly parsimonious ontologies, and especially minimal ones, face the challenge of either accounting for the truth of our ordinary quantificational discourse, or paraphrasing such discourse away. Common strategies for addressing this challenge include classical reduction, paraphrase nihilism, and a distinction between ontological and existence commitments. (...) I argue, however, that these strategies are either implausible or fail to provide truth conditions consistent with minimal or parsimonious ontologies. I then discuss, defend, and suggest ways to strengthen an alternative framework for reduction, on which the sentences of reducing theories ground those of reducible theories. Relative to the other options for defending minimal ontology, a strengthened grounding-reductive approach can provide more defensible truth conditions for minimal ontology, better preserve scientific realist intuitions, set a more attainable standard for reduction, and allow our existence commitments to be more responsive to empirical evidence and scientific expertise. As a result, I argue that minimal ontology becomes more defensible—though not certain—on a grounding-reductive framework. But even if minimal ontology were wrong, the grounding-reductive framework makes other parsimonious but non-minimal ontologies more plausible. (shrink)

This article (in Finnish) discusses Seppo Albert Kivinen's (1933-2021) views on identity and existence conditions of universals. Moreover, the article puts the views to larger context.

Impure Eliminativism about Categories is the idea that ontological categories are not wholly eliminable insofar as they have epistemic value to understand the nature of ordinary and scientific objects. From the perspective of Impure Eliminativism, different criticisms have been addressed to substantialist approaches in metaphysics and, in particular, to John Heil’s substance-mode two-category ontology. The aim of this paper is to contribute to this critical project by extending its scope to C. B. Martin’s substantialism. The thesis I defend is that (...) Martin’s substratum-trope two-category ontology satisfies the elimination criterion of Impure Eliminativism for ontological categories because either it is inconsistent or else it supplies a non-exhaustive and non-exclusive categorization of ordinary and scientific objects and their properties. First, I introduce Impure Eliminativism and its novel elimination criterion for ontological categories, and I survey recent criticisms of substantialism from that perspective. Second, I show that nothing satisfies Martin’s definition of substratum in a way that is consistent with Martin’s view on tropes. Third, I note that the attempts to avoid the inconsistency make the categorization supplied by Martin’s ontology either non-exhaustive or non-exclusive. I then conclude that Martin’s substratum-trope categorial system should be eliminated in accordance with the criterion of categorial elimination of Impure Eliminativism. (shrink)