Recently much has been made of the grounding relation, and of the idea that it is intimately tied to fundamentality. If A grounds B, then A is more fundamental than B (though not vice versa ), and A is ungrounded if and only if it is fundamental full stop—absolutely fundamental. But here is a puzzle: is grounding itself absolutely fundamental?

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)

This paper brings together two theories that I have propounded separately elsewhere. The first is the view that concrete individuals are constituted completely by tropes, that they are trope bundles. The second and more recently developed theory is that of the two major categories of concrete individuals, continuants and occurrents, the latter are ontologically more basic than the former and that continuants are to be viewed as invariants among occurrents under equivalence relations. The latter theory embodies on its own an (...) account of the nature of identity through time of things that are in time but not extended in time. The question is whether this view is compatible with the trope bundle account of concrete particulars, and, assuming it is (both theories being separately attractive) whether bringing them together entails any modifications (other than complexity) to either theory. After examining likely metaphysical difficulties the tentative conclusion is that the attractiveness of the trope bundle theory persists despite the marriage, but that the mental picture of what tropes and trope bundles are must be overhauled. (shrink)

Extended simples are fruitfully discussed in metaphysics. They are entities which are located in a complex region of space but do not themselves have parts. In this paper, I will discuss unextended complexes: entities which are not located at a complex region of space but do themselves have parts. In particular, I focus on one type of unextended complex: pointy complexes. Four areas are indicated where pointy complexes might prove philosophically useful. Unextended complexes are therefore philosophically fruitful, in much the (...) same way as extended simples. (shrink)

Are there atoms in the constitution of things? Or is everything made of atomless ‘gunk’ whose proper parts have proper parts? Anaxagoras is the first gunk lover in the history of metaphysics. For him gunk is not only a theoretical possibility that cannot be ruled out in principle. Rather, it is a view that follows cogently from his metaphysical analysis of the physical world of our experience. What is distinctive about Anaxagoras’s take on gunk is not only what motives the (...) view, but also the particular type of gunk that he develops. It is qualitative gunk, rather than material gunk. Anaxagoras’s ontology was developed before matter was ‘invented’. It includes quality tropes only; they are gunky. The resulting metaphysical view – a world of qualitative gunk – is new, in the sense of being hitherto unexplored; and yet, it is derived from Anaxagoras’s writings. Drawing on Anaxagoras’s insights, this paper offers a sketch of what qualitative gunk ontology l.. (shrink)

This paper is the first trope-theoretical reply to E. J. Lowe’s serious dilemma against trope nominalism in print. The first horn of this dilemma is that if tropes are identity dependent on substances, a vicious circularity threatens trope theories because they must admit that substances are identity dependent on their constituent tropes. According to the second horn, if the trope theorist claims that tropes are identity independent, she faces two insurmountable difficulties. (1) It is hard to understand the ontological dependence (...) of tropes on substances. (2) The identity-conditions of tropes cannot be determinate, which threatens the determination of the identity-conditions of substances. Our reply to the first horn of Lowe’s dilemma is to deny the identity dependence of tropes. Yet we can avoid the second horn because our theory can explain the ontological dependence of tropes on substances and the fully-determined identity-conditions of both tropes and substances. (shrink)

According to standard trope nominalism, there are simple tropes that do not have parts or multiply distinct aspects. Douglas Ehring’s reductio ad absurdum against this standard view concludes that there are no simple tropes. In this paper, we provide a response to Ehring defending the standard view. Ehring’s argument may be refuted by (1) distinguishing the ontological form of tropes from their contribution to the ontological content of the world, and (2) construing tropes as having primitive identity. At the same (...) time, standard trope nominalism is elaborated on by distinguishing between ontological form and content, for which there are also independent reasons. (shrink)

My aim in this article is to contribute to the larger project of assessing the relative merits of different theories of substance. An important preliminary step in this project is assessing the explanatory resources of one main theory of substance, the so-called bundle theory. This article works towards such an assessment. I identify and explain three distinct explanatory challenges an adequate bundle theory must meet. Each points to a putative explanatory gap, so I call them the Gap Challenges. I consider (...) three bundle-theoretic strategies for meeting these challenges. I argue that none of them goes very far. The upshot is that, absent other strategies for meeting the challenges, bundle theory involves a significant amount of stipulation. This black box makes bundle theory relatively weak with respect to its explanatory power—unless, of course, rival theories of substance are unable to do better. (shrink)

Construing the instantiation of a universal by a particular in terms of my theory of aspects resolves the basic mystery of this "non-relational tie", and gives theoretical unity to the four characteristics of instantiation discerned by Armstrong. Taking aspects as distinct in a way akin to Scotus's formal distinction, I suggest that instantiation is the sharing of an aspect by a universal and a particular--a kind of partial identity. This approach allows me to address Plato's multiple location and One over (...) Many problems, Bradley's problem concerning the instantiation of relations, and the problem of change. (shrink)

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)

Properties and objects are everywhere, but remain a philosophical mystery. Douglas Ehring argues that the idea of tropes--properties and relations understood as particulars--provides the best foundation for a metaphysical account of properties and objects. He develops and defends a new theory of trope nominalism.

In order to perfectly describe the world, it is not enough to speak truly. One must also use the right concepts - including the right logical concepts. One must use concepts that "carve at the joints", that give the world's "structure". There is an objectively correct way to "write the book of the world". Much of metaphysics, as traditionally conceived, is about the fundamental nature of reality; in the present terms, this is about the world's structure. Metametaphysics - inquiry into (...) the status of metaphysical questions - turns on structure. The question of whether ontological, causal, or modal questions are "substantive" is in large part a question of whether the world has ontological, causal, and modal structure - whether quantifiers, causal relations, and modal operators carve at the joints. (shrink)

The treatise attempts to approach and deal with some of the most fundamental problems facing anyone who wishes to uphold some version of the so-called theory of tropes. Three assumptions serve as a basis for the investigation: tropes exist, only tropes exist, and a one-category trope-theory along these lines should be developed so that the tropes it postulates are able to serve as truth-makers for all kinds of atomic propositions. Provided that these assumptions are accepted, it is found that the (...) trope-theorist will have to deal with two important problems. First, some atomic propositions seem to require universal truth-makers. Second, some atomic propositions seem to require concrete truth-makers. As tropes are abstract particulars, it follows that the trope-theorist, in order to fulfil assumption, must provide an account of exactly how he or she could construct universality and concreteness from his or her basic stock of tropes. In the treatise such constructions are attempted and some basic problems with such constructions are revealed. Although these problems are serious enough it is argued that it is nevertheless possible to deal with these basic issues while staying squarely within the boundaries of a one-category trope-ontology. (shrink)

E. J. Lowe, a prominent figure in contemporary metaphysics, sets out and defends his theory of what there is. His four-category ontology is a metaphysical system which recognizes four fundamental categories of beings: substantial and non-substantial particulars and substantial and non-substantial universals. Lowe argues that this system has an explanatory power which is unrivalled by more parsimonious theories and that this counts decisively in its favour. He shows that it provides a powerful explanatory framework for a unified account of causation, (...) dispositions, natural laws, natural necessity and many other related matters, thus constituting a full metaphysical foundation for natural science. (shrink)

If a bit of perceptual behavior is a trope, so is any response to a stimulus, and so is the stimulus, and so therefore, more generally, is every effect and its cause. When we say that the sunlight caused the blackening of the film we assert a connection between two tropes; when we say that Sunlight in general causes Blackening in general, we assert a corresponding relation between the corresponding universals. Causation is often said to relate events, and generally speaking (...) any event is a trope: a smile, a sneeze, a scream, an election, a cold snap, a storm, a lightning flash, a conspiracy, perhaps a wave, and so on up to such big and important events that they have proper names, like the Passover and Lulu the H-bomb explosion. We have called a trope a "case" of its universal, while the universal is the "kind" of the trope, so it is no surprise that a medical "case" is a trope--in the sense, at any rate, in which a person is said to have a case of typhoid fever rather than to be a case of it. A high-school boy, uncoached, has assured me, "Of course there's such a thing as Redness--this pencil has a case of it." When a scientist reports a temperature or a velocity or a viscosity he is reporting a trope--not a universal, because it is a once-for-all occurrence, but not a concrete thing either, though doubtless a component of one. He is likely to call it an "aspect" of the thing or, preferably, a "state," and generally speaking a "state" of a thing or a nation is a trope. Recent developments in sub-atomic physics, a none too reliable oracle, suggest that an electron, e.g., just is an existent state, and that the common-sense philosophy of concreta here abdicates altogether in favor of the trope. (shrink)

My main thesis is that the necessary and its necessity are factual, or matters of fact, in the sense that they are realities on the same ontic plane or planes with any other beings there may be, physical, phenomenal, or Platonically transcendent, and are no more creatures of thought and speech than dogs and gravity are; if I think they are all physical actualities, this is only because I think everything is. I have a second thesis, however, which is that (...) the realities objectively characterized by necessity are "facts" in the more special sense in which we say it is a fact that the earth is round but not that the earth is a fact or that roundness is a fact. It is fashionable to declare that necessity and contingency pertain only to statements, judgments, or "propositions"; and though the popularity of this is due, I am afraid, to what is false in it, namely, its subjectivism, its philosophic force is due to a covert truth, that necessity can qualify nothing short of the states of affairs which make statements or judgments necessarily true. Any shifts that can avoid the admission of facts in general as first-class members of the universe can provide for what I shall say of necessary facts, but meanwhile the worth of the category will be so proving itself that I cannot foresee abandoning it, and it is all I shall be meaning hereinafter by the word "facts.". (shrink)

Metaphysics is the thoroughly empirical science. Every item of experience must be evidence for or against any hypothesis of speculative cosmology, and every experienced object must be an exemplar and test case for the categories of analytic ontology. Technically, therefore, one example ought for our present theme to be as good as another. The more dignified examples, however, are darkened with a patina of tradition and partisanship, while some frivolous ones are peculiarly perspicuous. Let us therefore imagine three lollipops, made (...) by a candy man who buys sticks from a big supplier and molds candy knobs on them. Lollipop No. 1 has a red round peppermint head, No. 2 a brown round chocolate head, No. 3 a red square peppermint head. The circumstance here which mainly provokes theories of subsistence and inherence is similarity with difference: each lollipop is partially similar to each other and partially different from it. If we can give a good account of this circumstance in this affair we shall have the instrument to expose the anatomy of everything, from an electron or an apple to archangels and the World All. (shrink)

Paper responding to critique of Maurin (2002) presented by Herbert Hochberg in his “Relations, Properties and Particulars” (2004).

In this paper I explore Michael Loux’s important distinction between “tropes” and “tropers”. First, I argue that the distinction throws into relief an ambiguity and discrepancy in the literature, revealing two fundamentally different versions of trope theory. Second, I argue that the distinction brings into focus unique challenges facing each of the resulting trope theories, thus calling into question an alleged advantage of trope theory—that by uniquely occupying the middle ground between its rivals, trope theory is able to recover and (...) preserve the insights of these views. Ultimately, the distinction suggests that trope theory is a divided house. (shrink)