Peter Richard Forrest

Either from concrete examples such as tomatoes on a plate, an egg carton full of eggs and so on, or simply because of the braces notation, we come to have some intuitions about the sorts of things sets might be. (See Maddy 1990.) First we tend to think of a set of particulars as itself a particular thing.. Second, even after the distinction between settheory and mereology has been carefully explained we tend to think of the members of a set as in some sense parts. And third we tend to think that there is something represented by the braces. Now if there were experts who got their intuitions from elsewhere then we could discard these rather crude ideas about egg cartons and so on. But I suspect the intuitions of experts are, just like those of the rest of us, based on notation and simple examples.

That God is of great beauty is religiously significant as a component of the widespread hope of a blessed experience in this or the next life. This motivates the project of formulating the strongest coherent thesis of divine beauty. This chapter has two parts. In Section 9.1 I argue for the incoherence of Perfect Divine Beauty. The natural reaction to this incoherence is to replace the idea of perfection, but in a way that coheres with the theists’ religious tradition. I explore a range of such replacements, motivating the thesis of Pre-eminent Divine Beauty, that the actual divine beauty is infinitely greater than that of the physical universe. In Section 9.2 I examine various arguments against God’s great beauty. They are the Argument from Divine Simplicity (and the related the Argument from Divine Spirituality), the Argument from Divine Necessity, and the Argument from Moral Righteousness.

Naturalism, as I understand it, includes cosmological naturalism, ontological naturalism and methodological naturalism. After clarifying these three theses I argue that the combination of ontological with methodological naturalism is untenable. I do so by providing a pro tanto case against ontological naturalism and show that it can be resisted, but only by abandoning methodological naturalism. The pro tanto case is that ontological naturalism requires a version of what I call Redundancy Nominalism, but methodological naturalists should either reject it or at very least treat it, and hence ontological naturalism, as a speculation.

ABSTRACTBy the Many Categories problem, I mean the prima facie violation of Ockham’s Razor by realists about universals: there is, it might seem, just too much variety. Thus, David Armstrong posits both properties and relations. He also theorises about determinates of determinables. Another influential realist, E. J. Lowe distinguishes non-substantial from substantial universals. Yet again, both Armstrong and Lowe include in their ontology abstract particulars in addition to universals. My aim in this paper is to offer a unification of these categories using an operator-theory. First, I show how operators provide a theory of abstract particulars of relations and of impure relational properties. Then, using impure relational properties I derive the Fregeanion Principle. After some metaphysics of mathematics, I provide a theory of determinables. Finally, I consider kinds and substances.

In his “Are Properties, Particular, Universal, or Neither?” Javier Cumpa argues that science not metaphysics explains how properties are instantiated. I accept this conclusion provided physics can be stated using rather few primitive predicates. In addition, he uses his scientific theory of instantiation to argue for Neutralism, his thesis that the “tie” between properties and their instances implies neither that properties are particular nor that they are universals. Neutralism, I claim, is a thesis that realist about universals have independent reason to accept and their opponents have reason to reject. So, neutralism is not neutral on the topic of whether properties are universals. Nor is Cumpa’s Theory of Instantiation as naturalistic as he claims. I argue that although compatible with Ontological Naturalism, his theory provides a precedent for the non-naturalistic emergence of mental properties. Finally, I argue that because his theory requires a simple physics it presupposes a more rationalist epistemology than that of Methodological Naturalism.

© The Author 2016. Published by Oxford University Press on behalf of The Analysis Trust. All rights reserved. For Permissions, please email: [email protected] intellectual virtue an obstacle to religious faith? The papers in this fine collection answer this question either directly or indirectly.1 The editors, Laura Callahan and Timothy O’Connor, are to be congratulated on requesting, and receiving, from the authors accessible papers that cover many of the relevant issues. In addition they have provided a clear introduction and useful summaries....In this review, I first consider the way the editors explicate the question. Then I examine the authors' answers. Finally I draw some conclusions from the various papers.In their Introduction the editors remind us of the complexity of faith, which typically involves: various intellectual propensities, notably tenacity of belief; a world-view; a moral orientation and an ‘affective stance’. This last may well be the...