There are two main theories of ontological commitment: the quantifier view, and the truthmaker view. Since there are some truths that apparently commit us to certain entities, but actually do not, any ontological commitment theory must also contain an ontological reduction theory. Advocates of the quantifier view propose the paraphrasing method of reduction, while advocates of the truthmaker view propose the supervenience method. In this paper, after a brief discussion of the quantifier view, I propose a modified version of truthmaker-based (...) ontology, and show that a plausible account of the supervenience method can be deduced from my version. I then show that the supervenience method could explain why the paraphrasing method is successful, albeit that there are some cases in which the supervenience method works but the paraphrasing method does not, or so it seems prime facie. I also argue that according to the truthmaker view we must accept composite objects as something over and above the particles which constitute them. (shrink)

Armstrong appeals to the existence of totalities in order to solve the problem of negative truths. The totality of first-order states of affairs is a truthmaker for all negative truths, but it involves things which are irrelevant to many such truths. To solve this problem, Armstrong claimed that negative truths have minimal truthmakers which usually consist in totalities smaller than the totality of first-order states of affairs. Merricks objects to this claim by arguing that given Armstrong’s definition of minimal truthmakers, (...) the totality of first-order states of affairs is a minimal truthmaker for every negative truth. In this article, I respond to Merricks’s objection. I will first show that the definition of minimal truthmakers that he proposes is not plausible. However, Merricks’s objection, I will argue, also works on the standard definition of minimal truthmakers. I will then show that for independent reasons, the standard definition should be revised, and, given my revised definition, Merricks’s objection fails. (shrink)