This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.

Two things become one thing, something having parts, and something becoming something else, are cases of many things being identical with one thing. This apparent contradiction introduces others concerning transitivity of identity, discernibility of identicals, existence, and vague existence. I resolve the contradictions with a theory that identity, number, and existence are relative to standards for counting. What are many on some standard are one and the same on another. The theory gives an account of the discernibility of identicals using (...) phrases like “insofar as”. And it holds that standards for counting remain or shift depending on our purposes. (shrink)

In arithmetic, if only because many of its methods and concepts originated in India, it has been the tradition to reason less strictly than in geometry, ...

In the course of the discussion, Professor Quine pinpoints the difficulties involved in translation, brings to light the anomalies and conflicts implicit in our ...

In this sequel to "The logic and meaning of plurals. Part I", I continue to present an account of logic and language that acknowledges limitations of singular constructions of natural languages and recognizes plural constructions as their peers. To this end, I present a non-reductive account of plural constructions that results from the conception of plurals as devices for talking about the many. In this paper, I give an informal semantics of plurals, formulate a formal characterization of truth for the (...) regimented languages that results from augmenting elementary languages with refinements of basic plural constructions of natural languages, and account for the logic of plural constructions by characterizing the logic of those regimented languages. (shrink)

Contemporary accounts of logic and language cannot give proper treatments of plural constructions of natural languages. They assume that plural constructions are redundant devices used to abbreviate singular constructions. This paper and its sequel, "The logic and meaning of plurals, II", aim to develop an account of logic and language that acknowledges limitations of singular constructions and recognizes plural constructions as their peers. To do so, the papers present natural accounts of the logic and meaning of plural constructions that result (...) from the view that plural constructions are, by and large, devices for talking about many things (as such). The account of logic presented in the papers surpasses contemporary Fregean accounts in its scope. This extension of the scope of logic results from extending the range of languages that logic can directly relate to. Underlying the view of language that makes room for this is a perspective on reality that locates in the world what plural constructions can relate to. The papers suggest that reflections on plural constructions point to a broader framework for understanding logic, language, and reality that can replace the contemporary Fregean framework as this has replaced its Aristotelian ancestor. (shrink)

This paper develops an interpretation of the doctrine of the Trinity, drawn from Augustine and the Athanasian Creed. Such a doctrine includes divinity claims (the persons are divine), diversity claims (the persons are distinct), and a uniqueness claim (there is only one God). I propose and defend an interpretation of these theses according to which they are neither logically incompatible nor do they do entail that there are three (or four) gods.

In recent years, many resourceful thinkers have brought a new clarity to the issues surrounding the doctrine of the Trinity. Two incompatible families of Trinitarian doctrine have been clearly distinguished: Social Trinitarianism and Latin Trinitarianism. I argue here that no theory in either camp has yet evaded the triune pitfalls of inconsistency, unintelligibility, and poor fit with the Bible. These two main approaches appear to be hopeless, and I argue that appeals to ‘mystery’ are no way to avoid the difficulties (...) at hand. Thus, the Trinitarian project is as yet unfinished. (shrink)

In two recent pieces William Hasker argues that my arguments against Social Trinitarianism fail. I argue here that he hasn't successfully refuted or rebutted them, and that his response to the quaternity problem sacrifices monotheism.

In two recent pieces William Hasker argues that my arguments against Social Trinitarianism fail. I argue here that he hasn't successfully refuted or rebutted them, and that his response to the quaternity problem sacrifices monotheism.

What is it for there to be a God, and what reason is there for supposing him to conform to the claims of Christian doctrine? In this pivotal volume of his tetralogy, Richard Swinburne builds a rigorous metaphysical system for describing the world, and applies this to assessing the worth of the Christian tenets of the Trinity and the Incarnation. Part I is dedicated to analyzing the categories needed to address accounts of the divine nature--substance, cause, time, and necessity. Part (...) II begins by setting out, in terms of these categories, the fundamental doctrine of Western religions--that there is a God. After pointing out some of the different ways in which this doctrine can be developed, Swinburne spells out the simplest possible account of divine nature. He then goes on to clarify the implications of this account for the specifically Christian doctrines of the Trinity (that God is "three persons in one substance") and of the Incarnation (that God became incarnate in Jesus Christ). Swinburne finds that there are good reasons to believe the Christian additions to the core Western idea of God. The Christian God builds upon Swinburne's acclaimed previous work to form a self-contained text which will no doubt become a classic in the philosophy of religion. (shrink)

There will be a few themes. One to get us going: expansion versus contraction. About an object, o, and the region, R, of space(time) in which o is exactly located,1 we may ask: i) must there exist expansions of o: objects in filled superregions2 of R? ii) must there exist contractions of o: objects in filled subregions of..

Objects and Persons presents an original theory about what kinds of things exist. Trenton Merricks argues that there are no non-living inanimate macrophysical objects -- no statues or rocks or chairs or stars -- because they would have no causal role over and above the causal role of their microphysical parts. Humans do exist: we have non-redundant causal powers. Along the way, Merricks has interesting things to say about mental causation, free will, and various philosophical puzzles. Anyone working in metaphysics (...) will enjoy this lucid and provocative book. (shrink)

I argue that composition as identity is incompatible with the possibility of emergent properties (as characterized in the paper) and so should be rejected.

Despite heroic efforts, philosophers have found it increasingly difficult to evade discussion of metaphysical topics. Take the philosophy of mind. Take, in particular, the mind-body problem in its latest guise: the problem of causal relevance. If mental properties are not reducible to physical properties, how can we reconcile the role such properties seem to have in producing bodily motions that constitute actions with the apparent fact that the very same motions are entirely explicable on the basis of purely physical properties (...) of purely physical events in the nervous system? Familiar approaches to the problem include appeals to “supervenient causation,” to “higher-level” laws governing putatively higher-level entities and events, and to “realizing” relations that make room in objects for overlapping properties. (shrink)

This article reviews a number of objections to social Trinitarianism that have been presented in the recent literature, especially objections alleging that social Trinitarianism is not truly monotheistic. A number of the objections are found to be successful so far as they go, but they apply only to some versions of social Trinitarianism and not to all. Objections to social Trinitarianism as such, on the other hand, are not successful. The article concludes with a proposal for a social Trinitarian conception (...) of the unity of God. (shrink)

Dale Tuggy argues that his divine-deception argument against social Trinitarianism remains unscathed, in spite of my recent objections. I maintain that his argument is question-begging and exegetically weak, and does not succeed in refuting social Trinitarianism.

Dale Tuggy argues that his divine-deception argument against Social Trinitarianism remains unscathed, in spite of my recent objections. I maintain that his argument is question-begging and exegetically weak, and does not succeed in refuting Social Trinitarianism.

Richard Cartwright is one of the most clearheaded, astute, and penetrating philosophers in this country. Because of his own strict standards, however, his work has been published only sparingly and is not as well known as he himself is. Philosophical Essays is a welcome first collection. It includes fifteen essays spanning three decades of Cartwright's thought and focusing on central problems in the philosophy of logic, the philosophy of language, and metaphysics. The introduction offers an excellent guide to Cartwright's mode (...) of thought and pedagogical style. Some of these essays are now regarded as classics; six others are published here for the first time. Each of them, from "Macbeth's Dagger" to "Negative Existentials" and "Propositions of Pure Logic" is a model of craftsmanship and clarity of thought. They span a variety of topics, including identity, truths, essence, implication, and philosophical method. Richard Cartwright is Professor of Philosophy and Head of the Department of Linguistics and Philosophy at MIT. (shrink)

There is widespread disagreement as to what the facts are concerning just when a collection of objects composes some further object; but there is widespread agreement that, whatever those facts are, they are necessary. I am unhappy to simply assume this, and in this paper I ask whether there is reason to think that the facts concerning composition hold necessarily. I consider various reasons to think so, but find fault with each of them. I examine the theory of composition as (...) identity, but argue that the version of this doctrine that entails universalism is implausible. I consider the claim that the a priority of such facts leads to their necessity, but give a defence of substantial contingent a priori truths. I ask whether the contingency of such facts would lead to unwelcome possibilities, but argue that the worrying looking possibilities can be blocked if it is desired. Next, I argue against the thought that the Lewis-Sider argument against restricted composition might give us reason to accept the necessity of universalism. Lastly, I respond to two objections from the 2006 BSPC. I conclude in favour of the contingency of the facts concerning when some things compose some thing. (shrink)

Over the last two or three decades, puzzles concerning vagueness, identity, and material constitution have led an increasing number of ontologists to “eliminate” at least some of the objects of folk ontology. In the book here reviewed, Trenton Merricks proposes to eliminate any and all material objects that lack nonredundant causal powers. The objects found lacking include statues, baseballs, planets, and all other inanimate macroscopica, including the masses and conjunctive objects favored by some other eliminativists. The objects found to possess (...) the requisite powers include human persons, who are taken to be human organisms, other conscious organisms, such as dogs and dolphins, and the microscopica of which organisms are composed. Merricks doesn’t assume that there are physical simples. But he does assume that there is at least one level of microscopica, and he uses ‘atoms’ as a convenient term for the microscopica of some unspecified level. As regards organisms that lack consciousness, Merricks is agnostic. (shrink)

In a recent article, Edward Wierenga defends a version of Social Trinitarianism according to which the Persons of the Trinity form a unique society of really distinct divine beings, each of whom has its own exemplification of divinity. In this paper, I call attention to several philosophical and theological difficulties with Wierenga’s account, as well as to a problem that such difficulties pose for Social Trinitarianism generally. I then briefly suggest what I take to be a more promising approach to (...) the Trinity. (shrink)

The Christian doctrine of the Trinity poses a serious philosophical problem. On the one hand, it seems to imply that there is exactly one divine being; on the other hand, it seems to imply that there are three. There is another well-known philosophical problem that presents us with a similar sort of tension: the problem of material constitution. We argue in this paper that a relatively neglected solution to the problem of material constitution can be developed into a novel solution (...) to the problem of the Trinity. (shrink)

This essay interprets Butler’s distinction between identity in the loose and popular sense and in the strict and philosophical sense. Suppose there are different standards for counting the same things. Then what are two distinct things counting strictly may be one and the same thing counting loosely. Within a given standard identity is one-one. But across standards it is many-one. An alternative interpretation using the parts-whole relation fails, because that relation should be understood as many-one identity. Another alternative making identity (...) relative to sort fails, because whole and parts can be of the same sort. (shrink)

It is difficult to reconcile claims about the Father's role as the progenitor of Trinitarian Persons with commitment to the equality of the persons, a problem that is especially acute for Social Trinitarians. I propose a metatheological account of the doctrine of the Trinity that facilitates the reconciliation of these two claims. On the proposed account, ‘Father’ is systematically ambiguous. Within economic contexts, those which characterize God's relation to the world, ‘Father’ refers to the First Person of the Trinity; within (...) theological contexts, which purport to describe intra-Trinitarian relations, it refers to the Trinity in toto-thus in holding that the Son and Holy Spirit proceed from the Father we affirm that the Trinity is the source and unifying principle of Trinitarian Persons. While this account is solves a nagging problem for Social Trinitarians it is theologically minimalist to the extent that it is compatible with both Social Trinitarianism and Latin Trinitarianism, and with heterodox Modalist and Tri-theist doctrines as well. Its only theological cost is incompatibility with the Filioque Clause, the doctrine that the Holy Spirit proceeds from both the Father and the Son—and arguably that may be a benefit. (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)

In a book that will appeal to a general audience as well as philosophers of religion, a leading metaphysician tackles fundamental theological problems in a lucid and engaging manner. Peter van Inwagen begins with a provocative new introduction exploring the question of whether a philosopher such as himself is qualified to address theological matters. The chapters that follow take up the central problem of evil in a world created and sustained by God.

The authors of this lively and thorough introduction to philosophy from a Christian perspective introduce you to the principal subdisciplines of philosophy, including epistemology, metaphysics, philosophy of science, ethics and philosophy ...

The Philosophical Writings of Descartes VOLUME 3. Volumes 1 and 2 provide a completely new translation of many of the major works in metaphysics, epistemology, and natural philosophy.

Plural predication is a pervasive part of ordinary language. We can say that some people are fifty in number, are surrounding a building, come from many countries, and are classmates. These predicates can be true of some people without being true of any one of them; they are non-distributive predications. However, the apparatus of modern logic does not allow a place for them. Thomas McKay here explores the enrichment of logic with non-distributive plural predication and quantification. His book will be (...) of great interest to philosophers of language, linguists, metaphysicians, and logicians. (shrink)

The doctrine of the Trinity poses a deep and difficult problem. On the one hand, it says that there are three distinct Persons—Father, Son, and Holy Spirit—and that each of these Persons “is God”. On the other hand, it says that there is one and only one God. So it appears to involve a contradiction. It seems to say that there is exactly one divine being, and also that there is more than one. How are we to make sense of (...) this? (shrink)

Absolute identity seems at first sight to be presupposed in the branch of formal logic called identity theory. Classical identity theory may be obtained by adjoining a single schema to ordinary quantification theory.

In , Peter van Inwagen asked a good question. (Asking the right question is often the hardest part.) He asked: what do you have to do to some objects to get them to compose something---to bring into existence some further thing made up of those objects? Glue them together or what?1 Some said that you don’t have to do anything.2 No matter what you do to the objects, they’ll always compose something further, no matter how they are arranged. Thus we (...) learned of the fusion of the coins in our pockets and the Eiffel tower. (shrink)