Peter Richard Forrest

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...

In this chapter I assume that we accept, perhaps reluctantly, general facts, that is states of affairs corresponding to universal generalizations. I then argue that, without any addition, this ontology provides us with physical necessities, and moreover with various grades of physical necessity, including the strongest grade, which I call absolute physical necessity. In addition there are consequences for our understanding of time. For this account, which I call the Mortmain Theory, provides a defence of No Futurism against an otherwise serious objection due to David Armstrong. In addition the Mortmain theory enables me to argue against the ‘‘Parmenidean’’ or Block Universe position that future and past are both real.

Mereotopology is that branch of the theory of regions concerned with topological properties such as connectedness. It is usually developed by considering the parthood relation that characterizes the, perhaps non-classical, mereology of Space (or Spacetime, or a substance filling Space or Spacetime) and then considering an extra primitive relation. My preferred choice of mereotopological primitive is interior parthood . This choice will have the advantage that filters may be defined with respect to it, constructing “points”, as Peter Roeper has done (“Region-based topology”, Journal of Philosophical Logic , 26 (1997), 25–309). This paper generalizes Roeper’s result, relying only on mereotopological axioms, not requiring an underlying classical mereology, and not assuming the Axiom of Choice. I call the resulting mathematical system an approximate lattice , because although meets and joins are not assumed they are approximated. Theorems are proven establishing the existence and uniqueness of representations of approximate lattices, in which their members, the regions, are represented by sets of “points” in a topological “space”.

I reply to seven objections to anthropomorphic theism: (1) That anthropomorphic theism is idolatrous. In reply I rely on the concept/conception distinction. (2) That faith requires certainty. In reply I argue that full belief may be based on probable inference. (3) That the truly infinite is incomprehensible. In reply I distinguish two senses of knowing what you mean. (4) "You Kant say that!" In reply I distinguish shallow from deep Kantianism. (5) "Shall Old Aquinas be forgot?" In reply I discuss the simplicity of God. (6) What those garrulous mystics say about the ineffable. In reply I argue that mystics should be anthropomorphites. (7) Antitheodicy. In reply I distinguish the community of all agents from the community of finite frail agents

In this paper I compare two versions of non-eliminative physicalism (reductive physicalism and supervenience physicalism) with four of the five theses of classical theism: divine non-contingency, divine transcendence, divine simplicity, and the aseity thesis. I argue that:1. Both physicalism (either version) and classical theism require intuition-transcending identifications of some properties or possibilities.2. Among other identifications, both reductive physicalism and classical theism need to identify psychological with functional properties.3. Both reductive physicalism and classical theism have a problem with consciousness.4. Both reductive physicalists and classical theists should distinguish fine and coarse grained theories of properties.

William Rowe in his Can God be Free? argues that God, if there is a God, necessarily chooses the best. Combined with the premise that there is no best act of creation, this provides an a priori argument for atheism. Rowe assumes that necessarily God is a ‘morally unsurpassable’ being, and it is for that reason that God chooses the best. In this article I drop that assumption and I consider a successor to Rowe ’s argument, the Argument from Arbitrariness, based on the premise that God does not act arbitrarily. My chief conclusion will be that this argument fails because, for all we know, there can be non- arbitrary divine choices even if there is no best act of creation

In this paper I present the Discrete Space-Time Thesis, in a way which enables me to defend it against various well-known objections, and which extends to the discrete versions of Special and General Relativity with only minor difficulties. The point of this presentation is not to convince readers that space-time really is discrete but rather to convince them that we do not yet know whether or not it is. Having argued that it is an open question whether or not space-time is discrete, I then turn to some possible empirical evidence, which we do not yet have. This evidence is based on some slight differences between commonly occurring differential equations and their discrete analogs.

In this paper I have had two aims. One was to describe a number of pantheist or near pantheist religious attitudes, including the influence of many worlds theories. The other was to indicate some of the ways we might arrive at Pantheism.One final remark: when assessing religious positions the intellectual grounds for accepting or rejecting them should, I suggest, be whether they make sense of things, that is, enable us to understand. The ways to Pantheism, or to near Pantheism, should therefore be interpreted as part of a comparison between ways of understanding.