Lewis has objected to Armstrong's notion of a structural universal on the grounds that it violates the Principle of Uniqueness of Composition (PUC), which says that given some parts, there is only one whole that they compose. This paper reviews Armstrong's case for structural universals, and then attempts to reconcile structural universals with PUC by arguing for the existence of arrangement universals. The latter are not only a key to defending structural universals against Lewis' objection, but are in fact essential (...) to Armstrong's conception of structural universals in general. Three objections to my proposal are deflected, and two alternative proposals are shown to be inferior to it. (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 this paper I argue against Armstrong’s recent truthmaking account of possibility. I show that the truthmaking account presupposes modality in a number of different ways, and consequently that it is incapable of underwriting a genuine reduction of modality. I also argue that Armstrong’s account faces serious difficulties irrespective of the question of reduction; in particular, I argue that his Entailment and Possibility Principles are both false.

This paper explores the prospects of a combinatorial account of modality. We argue against David M. Armstrong’s version of combinatorialism, which seeks to do without modal primitives, on the grounds, among other things, that Armstrong’s basic ontological categories are themselves subject to non-contingent constraints on recombination. We outline an alternative version, which acknowledges the necessity of modal primitives, at the level of ontology, and not just of our concepts.

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)

Lewis has objected to Armstrong's notion of a structural universal on the grounds that it violates the Principle of Uniqueness of Composition, which says that given some parts, there is only one whole that they compose. This paper reviews Armstrong's case for structural universals, and then attempts to reconcile structural universals with PUC by arguing for the existence of arrangement universals. The latter are not only a key to defending structural universals against Lewis' objection, but are in fact essential to (...) Armstrong's conception of structural universals in general. Three objections to my proposal are deflected, and two alternative proposals are shown to be inferior to it. (shrink)

This book espouses an innovative theory of scientific realism in which due weight is given to mathematics and logic. The authors argue that mathematics can be understood realistically if it is seen to be the study of universals, of properties and relations, of patterns and structures, the kinds of things which can be in several places at once. Taking this kind of scientific platonism as their point of departure, they show how the theory of universals can account for probability, laws (...) of nature, causation, and explanation, and explore the consequences in all these fields. This will be an important book for all philosophers of science, logicians, and metaphysicians, and their graduate students. The readership will also include those outside philosophy interested in the interrelationship of philosophy and science. (shrink)

v. 1. Nominalism and realism.--v. 2. A theory of universals.

I want to defend a Combinatorialtheory of possibility. Such a view traces the very idea of possibility to the idea of the combinations – all the combinations which respect a certain simple form – of given, actual, elements. Combination is to be understood widely enough to cover the notions of expansion and contraction. The combinatorial idea is not new, of course. Wittgenstein gave a classical exposition of it in the Tractatus. Perhaps its charter is 3.4: ‘A proposition determines a place (...) in logical space. The existence of this logical place is guaranteed by the mere existence of the constituents’. There is a small additional combinatorial literature. I myself was converted to a combinatorial view by Brian Skyrms’ brief but fascinating article ‘Tractarian Nominalism.’. (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 my reply to michael devitt, It is argued, First, That quine fails to appreciate the force of plato's "one over many" argument for universals. It is argued, Second, That quine's failure springs in part at least from his doctrine of ontological commitment: from the view that predicates need not be treated with ontological seriousness. Finally, An attempt is made to blunt the force of devitt's contention that realists cannot give a coherent explanation of the way that universals stand to (...) particulars. (shrink)

This book espouses a theory of scientific realism in which due weight is given to mathematics and logic. The authors argue that mathematics can be understood realistically if it is seen to be the study of universals, of properties and relations, of patterns and structures, the kinds of things which can be in several places at once. Taking this kind of scientific platonism as their point of departure, they show how the theory of universals can account for probability, laws of (...) nature, causation and explanation, and explore the consequences in all these fields. This will be an important book for all philosophers of science, logicians and metaphysicians, and their graduate students. The readership will also include those outside philosophy interested in the interrelationship of philosophy and science. (shrink)

In this comprehensive study of Wittgenstein's modal theorizing, Bradley offers a radical reinterpretation of Wittgenstein's early thought and presents both an interpretive and a philosophical thesis. A unique feature of Bradley's analysis is his reliance on Wittgenstein's Notebooks, which he believes offer indispensable guidance to the interpretation of difficult passages in the Tractatus. Bradley then goes on to argue that Wittgenstein's account of modality--and the related notion of possible worlds--is in fact superior to any of the currently popular theories in (...) this area. In this context, he examines and critiques the work of such figures as Adams, Carnap, Hintikka, Lewis, Rescher, and Stalnaker. (shrink)

This lucid and accessible dictionary presents technical terms that Wittgenstein introduced into philosophical debate or transformed substantially, and also topics to which he made a substantial contribution. Hans-Johann Glock places Wittgenstein's ideas in their relevance to current debates. The entries delineate Wittgenstein's lines of argument on particular issues, assessing their strengths and weaknesses, and shed light on fundamental exegetical controversies. The dictionary entries are prefaced by a 'Sketch of a Intellectual Biography', which links the basic themes of the early and (...) later philosophy and describes the general development of Wittgenstein's thinking. Extensive textual references, a detailed index and an annotated bibliography will facilitate further study. Authoritative, comprehensive and clear, the volume will be welcomed by anyone with an interest in Wittgenstein - his life, work or influence. Each Blackwell Philosopher Dictionary presents the life and work of an individual philosopher in a scholarly but accessible manner. Entries cover key ideas and thoughts, as well as the main themes of the philosopher's works. A comprehensive biographical sketch is also included. (shrink)

David Armstrong's book is a contribution to the philosophical discussion about possible worlds. Taking Wittgenstein's Tractatus as his point of departure, Professor Armstrong argues that nonactual possibilities and possible worlds are recombinations of actually existing elements, and as such are useful fictions. There is an extended criticism of the alternative-possible-worlds approach championed by the American philosopher David Lewis. This major work will be read with interest by a wide range of philosophers.