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The object of this paper is to offer a conception of singular causality that lies between two main views in the literature, which I take to be paradigmatically represented by David Armstrong (1997) and by Michael Tooley (1987, 1990) respectively. Armstrong maintains that there is singular causation wherever there are singular facts that instantiate causal laws; these facts are otherwise independent regularities. Tooley maintains that singular causation is independent of causal laws together with any other non-causal fact. My own view is that Armstrong’s account is too weak to conform a singularist position, as in his view singular causal relations are finally dependent on universal causation. On the other hand, Tooley’s account is too strong to be causal, as causation dissolves into a purely external and mysterious connection that is not even Humean -not even regularities play a role in its establishment. I want to maintain that there exists a middle way that correctly characterizes the spirit of singular causation, and that can be stated by (CS): (CS) Singular causality is metaphysically independent of universal causality. Neither Tooley nor Armstrong would admit (CS) as an appropriate defining thesis for causal singularism. In what follows, I consider different causal situations existing in the literature, with the purpose of analysing singular causation, arguing against Tooley and Armstrong's views, and defending (CS) instead. If my reasons are accepted, Armstrong’s position, rather than being singular in spirit, results into a form of causal universalism. I will also reject Tooley’s singularism as an extreme counterintuitive form of hyperrealism. Some consequences for causation are immediate. In particular, that singular causal relations are tropes, i.e., individual relations.

Armstrong's theory of laws of nature as relations between universals gives an initially plausible account of why the causal powers of substances are bound together only in certain ways, so that the world is a very regular place. But its resulting theory of causation cannot account for intentional causation, since this involves an agent trying to do something, and trying is causing. This kind of causation is thus a state of an agent and does not involve the operation of a law. It is simpler to suppose that non-intentional causing is also causing by substances (and not events) in virtue of their powers to act. That raises again the question of why their powers are bound together only in certain ways. The most probable answer is that God, the simplest kind of person there could be, brings this about because it is necessary for the existence of finite rational creatures such as ourselves.

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.

Part I will deal with the central system of metaphysics that Armstrong developed between 1978 and 1997. This will concern, in turn, the major topics of universals, laws, modality, facts or states of affairs, and dispositions. It will be demonstrated how Armstrong’s distinct contributions to these separate problems came together in a unified and systematic account such that he could be judged as holding a single, very appealing, metaphysical theory.

This is a book about some of the basic concepts of metaphysics: universals, particulars, causality, and possibility. Its aim is to give an account of the real constituents of the world. The author defends a realistic view of universals, characterizing the notion of universal by considering language and logic, possibility, hierarchies of universals, and causation. On the other hand, he argues that logic and language are not reliable guides to the nature of reality. All assertions and predications about the natural world are ultimately founded on "basic universals," which are the fundamental type of universal and central to causation. A distinction is drawn between unified particulars (which have a natural principle of unity) and arbitrary particulars (which lack such a principle); unified particulars are the terms of causal relations and thus real constituents of the world. Arbitrary particulars such as events, states of affairs, and sets have no ontological significance.

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.

Armstrong holds the Supervenience Theory of instantiation, namely that the instantiation of universals by particulars supervenes upon what particulars and what universals there are, where supervenience is stipulated to be explanatory or dependent supervenience. I begin by rejecting the Supervenience Theory of instantiation. Having done so it is then tempting to take instantiation as primitive. This has, however, an awkward consequence, undermining one of the main advantages universals have over tropes. So I examine another account hinted at by Armstrong. This is the Operator Theory of instantiation, by which I mean the theory that universals are operators, and that a particular instantiates a monadic universal because the universal operates on the particular, resulting in the state of affairs. On this theory the state of affairs supervenes on the instantiation rather than vice versa. In the second part of the paper I develop this theory of universals as operators, including an account of structural universals, which are useful for accounts of modality and of mathematics.

Armstrong holds that a law of nature is a certain sort of structural universal which, in turn, fixes causal relations between particular states of affairs. His claim that these nomic structural universals explain causal relations commits him to saying that such universals are irreducible, not supervenient upon the particular causal relations they fix. However, Armstrong also wants to avoid Plato’s view that a universal can exist without being instantiated, a view which he regards as incompatible with naturalism. This construal of naturalism forces Armstrong to say that universals are abstractions from a certain class of particulars; they are abstractions from first-order states of affairs, to be more precise. It is here argued that these two tendencies in Armstrong cannot be reconciled: To say that universals are abstractions from first-order states of affairs is not compatible with saying that universals fix causal relations between particulars. Causal relations are themselves states of affairs of a sort, and Armstrong’s claim that a law is a kind of structural universal is best understood as the view that any given law logically supervenes on its corresponding causal relations. The result is an inconsistency, Armstrong having to say that laws do not supervene on particular causal relations while also being committed to the view that they do so supervene. The inconsistency is perhaps best resolved by denying that universals are abstractions from states of affairs.

This is a study of a crucial and controversial topic in metaphysics and the philosophy of science: the status of the laws of nature. D. M. Armstrong works out clearly and in comprehensive detail a largely original view that laws are relations between properties or universals. The theory is continuous with the views on universals and more generally with the scientific realism that Professor Armstrong has advanced in earlier publications. He begins here by mounting an attack on the orthodox and sceptical view deriving from Hume that laws assert no more than a regularity of coincidence between instances of properties. In doing so he presents what may become the definitive statement of the case against this position. Professor Armstrong then goes on to establish his own theory in a systematic manner defending it against the most likely objections, and extending both it and the related theory of universals to cover functional and statistical laws. This treatment of the subject is refreshingly concise and vivid: it will both stimulate vigorous professional debate and make an excellent student text.

Then, adopting the view of Armstrong and others that causation is grounded in a second-order relation between universals, he explores a range of topics for ...