In this short text, a distinguished philosopher turns his attention to one of the oldest and most fundamental philosophical problems of all: How it is that we are able to sort and classify different things as being of the same natural class? Professor Armstrong carefully sets out six major theories—ancient, modern, and contemporary—and assesses the strengths and weaknesses of each. Recognizing that there are no final victories or defeats in metaphysics, Armstrong nonetheless defends a traditional account of universals as the (...) most satisfactory theory we have.This study is written for advanced students, but as Armstrong goes considerably beyond his earlier work on this topic, it will interest professional scholars as well. Carefully plotted and clearly written, Universals is both a paradigm of exposition and a case study on the value of careful analysis of fundamental issues in philosophy. (shrink)

In this important study D. M. Armstrong offers a comprehensive system of analytical metaphysics that synthesises but also develops his thinking over the last twenty years. Armstrong's analysis, which acknowledges the 'logical atomism' of Russell and Wittgenstein, makes facts the fundamental constituents of the world, examining properties, relations, numbers, classes, possibility and necessity, dispositions, causes and laws. All these, it is argued, find their place and can be understood inside a scheme of states of affairs. This is a comprehensive and (...) rigorously this-worldly account of the most general features of reality, argued from a distinctive philosophical perspective, and it will appeal to a wide readership in analytical philosophy. (shrink)

A realist theory of truth for a class of sentences holds that there are entities in virtue of which these sentences are true or false. We call such entities ‘truthmakers’ and contend that those for a wide range of sentences about the real world are moments (dependent particulars). Since moments are unfamiliar, we provide a definition and a brief philosophical history, anchoring them in our ontology by showing that they are objects of perception. The core of our theory is the (...) account of truthmaking for atomic sentences, in which we expose a pervasive ‘dogma of logical form’, which says that atomic sentences cannot have more than one truthmaker. In contrast to this, we uphold the mutual independence of logical and ontological complexity, and the authors outline formal principles of truthmaking taking account of both kinds of complexity. (shrink)

Challenging the myth that mathematical objects can be defined into existence, Bigelow here employs Armstrong's metaphysical materialism to cast new light on mathematics. He identifies natural, real, and imaginary numbers and sets with specified physical properties and relations and, by so doing, draws mathematics back from its sterile, abstract exile into the midst of the physical world.

Gonzalo Rodriguez-Pereyra offers a fresh philosophical account of properties. How is it that two different things (such as two red roses) can share the same property (redness)? According to resemblance nominalism, things have their properties in virtue of resembling other things. This unfashionable view is championed with clarity and rigor.

Few philosophers or theologians exerted as much influence on the shape of medieval thought as Thomas Aquinas. He ranks amongst the most famous of the Western philosophers and was responsible for almost single-handedly bringing the philosophy of Aristotle into harmony with Christianity. He was also one of the first philosophers to argue that philosophy and theology could support each other. The shape of metaphysics, theology, and Aristotelian thought today still bears the imprint of Aquinas' work. In this extensive and deeply (...) researched study, Eleonore Stump examines Aquinas' major works, _Summa Theologiae _and _Summa Contra Gentiles, _and clearly assesses the vast range of Aquinas' thought. Philosophers, theologians, and students of the medieval period alike will find this unrivalled study an indispensable resource in researching and teaching Aquinas. (shrink)

Sets of contingent objects, perhaps, are as contingent as their members; but properties, propositions, numbers and states of affairs, it seems, are objects whose non-existence is quite impossible. If so, however, how are they related to God? Suppose God has a nature: a property he has essentially that includes each property essential to him. Does God have a nature? And if he does, is there a conflict between God's sovereignty and his having a nature? How is God related to such (...) abstract objects as properties and propositions? These are the questions I want to explore. - Introduction. (shrink)

We take as our starting point a thesis to the effect that, at least for true judgments of many varieties, there are parts of reality which make such judgments are true. We argue that two distinct components are involved in this truthmaker relation. On the one hand is the relation of necessitation, which holds between an object x and a judgment p when the existence of x entails the truth of p. On the other hand is the dual notion of (...) projection, which holds between a judgment p and an object x when the truth of p entails the existence of x. A truthmaker for a judgment p is then a necessitator for p which satisfies the further constraint that it is part of p’s projection. We offer a formal theory of the truthmaker relation thus defined, exploiting ontological tools of basic mereology and the theory of dependence. We then apply the theory to a range of problems connected with generic expressions, ellipsis, vagueness, and indexical and perceptual judgments. (shrink)

The doctrine of God’s absolute simplicity denies the possibility of real distinctions in God. It is, e.g., impossible that God have any kind of parts or any intrinsic accidental properties, or that there be real distinctions among God’s essential properties or between any of them and God himself. After showing that some of the counter-intuitive implications of the doctrine can readily be made sense of, the authors identify the apparent incompatibility of God’s simplicity and God’s free choice as a special (...) difficulty and associate it with two others: the apparent incompatibilities between essential omnipotence and essential goodness, and between perfect goodness and moral goodness. Since all three of these difficulties are associated with a certain understanding of the nature of God’s will, the authors base their resolution of them on an account of will in general and of God’s will in particular, drawing on Aquinas’s theory of will.Taking creation as their paradigm of divine free choice, the authors develop a solution of the principal incompatibility based on three claims: God’s acts of choice are both free and conditionally necessitated; the difference between absolutely and conditionallynecessitated acts of will is not a real distinction in God; and the conditional necessity of God’s acts of will is compatible with contingency in the objects of those acts. The heart of their solution consists in their attempt to make sense of and support those claims.The authors extend their solution to cover the two associated apparent incompatibilities as well.The article concludes with observations on the importance of the doctrine of God’s absolute simplicity for resolving problems in religious morality and in the cosmological argument. (shrink)

Before Duns Scotus, most philosophers agreed that God is identical with His necessary intrinsic attributes--omnipotence, omniscience, etc. This Identity Thesis was a component of widely held doctrines of divine simplicity, which stated that God exemplifies no metaphysical distinctions, including that between subject and attribute. The Identity Thesis seems to render God an attribute, an abstract object. This paper shows that the Identity Thesis follows from a basic theistic belief and does not render God abstract. If also discusses how one might (...) move from the Identity Thesis to the full doctrine of divine simplicity and shows that the Identity Thesis generates a new ontological argument. (shrink)

[I] Divine Simplicity: God and His Existence Types of Divine Simplicity Of the properties ascribed to God in Aquinas' natural theology, we may call one sort ...

Some contemporary theologians dismiss the classical discussions of the existence and nature of God as out of step with and unworthy of serious consideration by so-called "modern man." Others contend that even though the historical giants of philosophical theology generally had an intimate acquaintance with Sacred Scripture, their philosophical biases beguiled them unwittingly into forming conceptions of God that are wholly foreign to as well as incompatible with the biblical conception of God. These two distinct lines of criticism sometimes converge (...) in the suggestion that today's philosophical theologians should forsake their old heroes for duly modern ones like Whitehead, Heidegger, and Wittgenstein, whose writings allegedly provide philosophical outlooks more in tune with biblical categories of thought. Just as often, however, we find an attitude of distrust toward any sort of metaphysical reflection on the ostensible theological claims of the Judaeo-Christian tradition--both on the part of those who believe that the Judaeo-Christian myths have at most only ethical and perhaps political significance and on the part of those who believe that metaphysical inquiry invariably distorts theological truths by displacing Sacred Scripture as the foundation of the life of faith. Despite their disagreements, however, all sides concur in assigning little if any systematic importance to traditional philosophical theology. (shrink)

The doctrine of divine simplicity, according to which God is devoid of physical or metaphysical complexity, is widely believed to be incoherent. I argue that although two prominent recent attempts to defend it fail, it can be defended against the charge of obvious incoherence. The defense rests on the isolation and rejection of a crucial assumption, namely, that no property is an individual. I argue that there is nothing in our ordinary concepts of property and individual to warrant the assumption, (...) and that once the assumption is rejected, the way is clear to viewing the divine attributes as self-exemplifying properties whose self-exemplification entails their identity with an individual. (shrink)

We take as our starting point a thesis to the effect that, at least for true judgments of many varieties, there are parts of reality which make such judgments are true. We argue that two distinct components are involved in this truthmaker relation. On the one hand is the relation of necessitation, which holds between an object x and a judgment p when the existence of x entails the truth of p. On the other hand is the dual notion of (...) projection, which holds between a judgment p and an object x when the truth of p entails the existence of x. A truthmaker for a judgment p is then a necessitator for p which satisfies the further constraint that it is part of p’s projection. We offer a formal theory of the truthmaker relation thus defined, exploiting ontological tools of basic mereology and the theory of dependence. We then apply the theory to a range of problems connected with generic expressions, ellipsis, vagueness, and indexical and perceptual judgments. (shrink)

According to many philosophical theologians, God is metaphysically simple: there is no real distinction among His attributes or even between attribute and existence itself. Here, I consider only one argument against the simplicity thesis. Its proponents claim that simplicity is incompatible with God’s having created another world, since simplicity entails that God is unchanging across possible worlds. For, they argue, different acts of creation involve different willings, which are distinct intrinsic states. I show that this is mistaken, by sketching an (...) adequate account of reasons-guided activity that does not require distinct intrinsic states of willing corresponding to each possible act of creation. (shrink)

In On the Nature and Existence of God, Richard Gale follows majority opinion in giving very short shrift to the doctrine of divine simplicity: in his view, there is no coherent expressible doctrine of divine simplicity. Rising to the implicit challenge, I argue that---contrary to what is widely believed---there is a coherently expressible doctrine of divine simplicity, though it is rather different from the views that are typically expressed by defenders of this doctrine. At the very least, I think that (...) I manage to show that there are ways of understanding the doctrine of divine simplicity that have not yet been adequately examined. (shrink)

One of the most difficult and perplexing tenets of classical theism is the doctrine of divine simplicity. Broadly put, this is generally understood to be the thesis that God is altogether without any proper parts, composition, or metaphysical complexity whatsoever. For a good deal more than a millennium, veritable armies of philosophical theologians – Jewish, Christian and Islamic – proclaimed the truth and importance of divine simplicity. Yet in our own time, the doctrine has enjoyed no such support. Among many (...) otherwise orthodox theists, those who do not just disregard it completely explicitly deny it. However, in a couple of recent articles, William E. Mann has attempted to expound the idea of divine simplicity anew and to defend it against a number of criticisms. He even has gone so far as to hint at reaffirming its importance, suggesting that the doctrine may have a significant amount of explanatory power and other theoretical virtue as part of an overall account of the nature of God, by either entailing or in other ways providing for much else that traditional theists have wanted to say about God. In this paper, I want to take a close look at Mann's formulation of the doctrine and at a general supporting theory he adumbrates in his attempt to render more plausible, or at least more defensible, various of its elements and implications. As Mann has made what is arguably the best attempt to defend the doctrine in recent years, I think that such an examination is important and will repay our efforts. (shrink)

The doctrine of divine simplicity, the doctrine that God has no physical or metaphysical complexity whatsoever, is not a doctrine designed to induce immediate philosophical acquiescence. There are severe questions about its coherence. And even if those questions can be answered satisfactorily in favour of the doctrine, there remains the question why anyone should accept it. Thomas V. Morris raises both sorts of questions about a version of the doctrine which I have put forward. In the following pages I shall (...) respond to what I take to be the most serious of Morris's objections. I shall argue that the doctrine survives Morris's onslaught, but that one observation of his points it in a direction I had hitherto not taken seriously. The bulk of Morris's paper raises questions of the first sort; perforce the bulk of my paper will also. I shall offer, at the end, a reason for thinking that neither of us is yet in a position to pronounce categorically on the second question. My remarks in this paper constitute an interim report on how I think things presently stand with divine simplicity. (shrink)

This inquiry is motivated by the question: if atheism is true, is it nevertheless the case that holiness or sacredness is exemplified? I believe the answer to this question is affirmative, and that the path to its affirmation lies in the rejection of the traditional assumption that holiness is a single and simple property of a divinity that eludes analysis. The opposite view, that there are several complex properties comprising holiness, makes it manifest that there are holy beings, even a (...) holy ‘supreme being’, even if there is no God and no gods. (shrink)

The paper corrects misrepresentations of Aquinas's understanding of divine simplicity, argues that the reasons he gives for divine simplicity are persuasive ones, and suggests how Aquinas's account of the Trinity can be used to explain how God can be said to exist necessarily. It gives an account of Aquinas's conception of form and individualised form, and shows how Plantinga's criticism of Aquinas's position on divine simplicity rests on a misunderstanding of Aquinas's notion of form. It describes and makes the case (...) for Aquinas's argument that God must be absolutely simply because he is the uncaused cause of all effects, and any real composition in things constitutes an effect. It shows that Brian Davies is mistaken in claiming that Aquinas does not hold God's existence to be logically necessary. It applies Frege's conception of existence to Aquinas's account of God's simplicity and his psychological analogy for the Trinity, in order to explain how God's existence can coherently be said to be logically necessary. (shrink)

In this paper I shall show how the Correspondence Theory of Truth can block Davidson’s Slingshot (Davidson 1984), which threatens to make the Correspondence Theory collapse. In particular I shall show that the Slingshot is unsound − and in so doing I shall show that the Correspondence Theory has some metaphysical commitments about the nature of facts.

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. (shrink)

Medieval philosophers distinguished God from all else by calling Him supremely one. Realists about properties affirmed God's special unity by arguing either that God cannot be conceived to be without His properties or that God wholly lacks the real complexity having properties involves. ;This thesis examines the latter, more radical doctrine of divine simplicity. On this doctrine, for all F, what makes God F differs in no way from what makes Him God. ;If all truths about God have the same (...) truth-condition, they all are materially equivalent. Their predicates' senses seemingly must shift in divinis to allow this unusual equivalence. Many medievals concluded from this that God is simple, it is impossible to say anything comprehensible about Him and in particular to ascribe to Him personal attributes. ;By distinguishing sense- from application-fixing properties associated with predicates, I so analyze talk of a simple being as to give it comprehensible sense. I argue that we can ascribe a simple God the sort of knowing involved in understanding a proposition and that this renders such a God "personal enough" for religion. ;If coherent, the radical doctrine of divine simplicity follows from God's being the most perfect logically possible being on the assumptions that something is a better F the less likely it is to cease being F and that being "one with one's Fness" involves more "unity" with one's Fness than does being necessarily F. Divine simplicity entails God's timelessness, immutability, uniqueness and aseity. It also entails two conditionals, that if God wills, He is omnipotent and that if God knows, He is omniscient. By tracing out these connections I show that divine simplicity brings to a concept of God both systematic neatness and plausible explanations for God's having many of His traditional attributes. (shrink)