Quantum mechanics is a subject that has captured the imagination of a surprisingly broad range of thinkers, including many philosophers of science. Quantum field theory, however, is a subject that has been discussed mostly by physicists. This is the first book to present quantum field theory in a manner that makes it accessible to philosophers. Because it presents a lucid view of the theory and debates that surround the theory, An Interpretive Introduction to Quantum Field Theory will interest students of (...) physics as well as students of philosophy. -/- Paul Teller presents the basic ideas of quantum field theory in a way that is understandable to readers who are familiar with non-relativistic quantum mechanics. He provides information about the physics of the theory without calculational detail, and he enlightens readers on how to think about the theory physically. Along the way, he dismantles some popular myths and clarifies the novel ways in which quantum field theory is both a theory about fields and about particles. His goal is to raise questions about the philosophical implications of the theory and to offer some tentative interpretive views of his own. This provocative and thoughtful book challenges philosophers to extend their thinking beyond the realm of quantum mechanics and it challenges physicists to consider the philosophical issues that their explorations have encouraged. (shrink)

Presents a synoptic, compact, and accessible exposition of this influential and interesting sector of twentieth-century American philosophy.

The basic question of ontology is “What exists?”. The basic question of metaontology is: are there objective answers to the basic question of ontology? Here ontological realists say yes, and ontological anti-realists say no. (Compare: The basic question of ethics is “What is right?”. The basic question of metaethics is: are there objective answers to the basic question of ethics? Here moral realists say yes, and moral anti-realists say no.) For example, the ontologist may ask: Do numbers exist? The Platonist (...) says yes, and the nominalist says no. The metaontologist may ask: is there an objective fact of the matter about whether numbers exist? The ontological realist says yes, and the ontological anti-realist says no. Likewise, the ontologist may ask: Given two distinct entities, when does a mereological sum of those entities exist? The universalist says always, while the nihilist says never. The metaontologist may ask: is there an objective fact of the matter about whether the mereological sum of two distinct entities exists? The ontological realist says yes, and the ontological anti-realist says no. Ontological realism is often traced to Quine (1948), who held that we can determine what exists by seeing which entities are endorsed by our best scientific theory of the world. In recent years, the practice of ontology has often presupposed an ever-stronger ontological realism, and strong versions of ontological realism have received explicit statements by Fine (this volume), Sider (2001; this volume), van Inwagen (1998; this volume), and others. (shrink)

Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?

This volume concerns the status and ambitions of metaphysics as a discipline.

In this book, Zalta attempts to lay the axiomatic foundations of metaphysics by developing and applying a (formal) theory of abstract objects. The cornerstones include a principle which presents precise conditions under which there are abstract objects and a principle which says when apparently distinct such objects are in fact identical. The principles are constructed out of a basic set of primitive notions, which are identified at the end of the Introduction, just before the theorizing begins. The main reason for (...) producing a theory which defines a logical space of abstract objects is that it may have a great deal of explanatory power. It is hoped that the data explained by means of the theory will be of interest to pure and applied metaphysicians, logicians and linguists, and pure and applied epistemologists. (shrink)

1. The lever in question is, of course, that with which, provided that an appropriate fulcrum could be found, Archimedes could move the world. In the analogy I have in mind, the fulcrum is the given, by virtue of which the mind gets leverage on the world of knowledge.

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)

The aim of philosophy, abstractly formulated, is to understand how things in the broadest possible sense of the term hang together in the broadest possible sense of the term. Under 'things in the broadest possible sense' I include such radically different items as not only 'cabbages and kings', but numbers and duties, possibilities and finger snaps, aesthetic experience and death. To achieve success in philosophy would be, to use a contemporary turn of phrase, to 'know one's way around' with respect (...) to all these things, not in that unreflective way in which the centipede of the story knew its way around before it faced the question, 'how do I walk?', but in that reflective way which means that no intellectual holds are barred. (shrink)

One can give a strong sense to the idea that a relation does not 'reduce' to non-relational properties by saying that a relation does not supervene upon the non-relational properties of its relata. That there are such inherent relations I call the doctrine of relational holism, a doctrine which seems to conflict with traditional ideas about physicalism. At least parts of classical physics seem to be free of relational holism, but quantum mechanics, on at least some interpretations, incorporates the doctrine (...) in an all pervasive way. (shrink)

This book revives a neglected but important topic in philosophy: the nature of substance. The belief that there are individual substances, for example, material objects and persons, is at the core of our common-sense view of the world yet many metaphysicians deny the very coherence of the concept of substance. The authors develop an account of what an individual substance is in terms of independence from other beings. In the process many other important ontological categories are explored: property, event, space, (...) time. The authors show why alternative theories of substance fail, and go on to defend the intelligibility of interacting spiritual and material substances. (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)

General Process Theory (GPT) is a new (non-Whiteheadian) process ontology. According to GPT the domains of scientific inquiry and everyday practice consist of configurations of ‘goings-on’ or ‘dynamics’ that can be technically defined as concrete, dynamic, non-particular individuals called general processes. The paper offers a brief introduction to GPT in order to provide ontological foundations for research programs such as interactivism that centrally rely on the notions of ‘process,’ ‘interaction,’ and ‘emergence.’ I begin with an analysis of our common sense (...) concept of activities, which plays a crucial heuristic role in the development of the notion of a general process. General processes are not individuated in terms of their location but in terms of ‘what they do,’ i.e., in terms of their dynamic relationships in the basic sense of one process being part of another. The formal framework of GPT is thus an extensional mereology, albeit a non-classical theory with a non-transitive part-relation. After a brief sketch of basic notions and strategies of the GPT-framework I show how the latter may be applied to distinguish between causal, mechanistic, functional, self-maintaining, and recursively self-maintaining interactions, all of which involve ‘emergent phenomena’ in various senses of the term. (shrink)

Processes constitute the world of human experience - from nature to cognition to social reality. Yet our philosophical and scientific theories of nature and experience have traditionally prioritized concepts for static objects and structures. The essays collected here call for a review of the role of dynamic categories in the language of theories. They present old and new descriptive tools for the modelling of dynamic domains, and argue for the merits of process-based explanations in ontology, cognitive science, semiotics, linguistics, philosophy (...) of mind, robotics, theoretical biology, music theory, and philosophy of chemistry and physics. The collection is of interest to professional researchers in any of these fields; it establishes - for the very first time - crossdisciplinary contact among recent process-based research movements and might witness a conceptual paradigm shift in the making. (shrink)

Following the lead of Gustav Bergmann ( 1967 ), if not his precise terminology, ontologies are sometimes divided into those that are ‘relational’ and those that are ‘constituent’ (Wolterstorff 1970 ). Substance ontologies in the Aristotelian tradition are commonly thought of as being constituent ontologies, because they typically espouse the hylemorphic dualism of Aristotle ’s Metaphysics – a doctrine according to which an individual substance is always a combination of matter and form. But an alternative approach drawing more on the (...) fourfold ontological scheme of Aristotle’s Categories is not committed to this doctrine and may regard individual (or ‘primary’) substances as having no constituent structure, their only possible complexity residing in their possession, in some cases, of a multiplicity of substantial parts. However, as we shall see, this does not imply that such an ontology falls instead into the relational camp: for although it invokes, in addition to the category of individual substance, also those of substantial kind (‘secondary’ substance), attribute, and mode (or ‘individual accident’), it need not and arguably should not take there to be external relations between entities in the different categories. On this view, truths of exemplification and instantiation, such as ‘Dobbin is white’ and ‘Dobbin is a horse’, do not need relational truthmakers. Hence, it can be maintained that there are no such relations as ‘exemplification’ and ‘instantiation’, at most only certain relational truths of exemplification and instantiation – truths whose logical form is relational. Th is being so, I shall argue, such an ontology cannot fairly be classified as a ‘relational’ one. (shrink)

This book develops an account of what substance is in terms of the notion of independence. As the authors note, there is a tradition of defining substance as independent that begins with Aristotle. But what notion of independence can provide an adequate definition of substance? The authors find traditional attempts to define independence, including Aristotle’s, inadequate on a number of grounds, and they propose an alternative account. As a preface to this undertaking, the authors consider and reject a number of (...) standard objections to their project, and as an afterword, they argue that the notion of spiritual substance is as intelligible as the notion of material substance. (shrink)

1. The lever in question is, of course, that with which, provided that an appropriate fulcrum could be found, Archimedes could move the world. In the analogy I have in mind, the fulcrum is the given, by virtue of which the mind gets leverage on the world of knowledge.

What does reality encompass? Is it exclusively physical, or does it include mental and 'abstract' aspects? What are the elements of being, reality's raw materials? John Heil offers stimulating answers to these questions framed in terms of a comprehensive metaphysics of substances and properties inspired by Descartes, Locke, and their successors.

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)

Steven French and Decio Krause examine the metaphysical foundations of quantum physics. They draw together historical, logical, and philosophical perspectives on the fundamental nature of quantum particles and offer new insights on a range of important issues. Focusing on the concepts of identity and individuality, the authors explore two alternative metaphysical views; according to one, quantum particles are no different from books, tables, and people in this respect; according to the other, they most certainly are. Each view comes with certain (...) costs attached and after describing their origins in the history of quantum theory, the authors carefully consider whether these costs are worth bearing. Recent contributions to these discussions are analyzed in detail and the authors present their own original perspective on the issues. The final chapter suggests how this perspective can be taken forward in the context of quantum field theory. (shrink)

This is Francesco Orilia's book review of Edward N. Zalta's 1983 book, Abstract Objects: An Introduction to Axiomatic Metaphysics.

This book addresses two basic questions: What is the proper philosophical analysis of the concept of substance? and What kinds of compound substances are there? The second question is mainly addressed by asking what relations among objects are necessary and sufficient for their coming to compose a larger whole. The first 72 pages of the book contain a short history of attempts to answer the first question, and a brief presentation of the analysis the authors defend at length in their (...) earlier book, Substance Among Other Categories. In the remaining 119 pages, the authors take up the second question. This order of presentation makes sense; but it may help to create a false impression in those who only glance at the first few pages—that this book is just a simplified version of the earlier one, with a little bit of history thrown in. It would be quite unfortunate, however, if very many potential readers get this impression; for it might discourage them from looking closely at the bulk of the book, which is new. The issues discussed in the later chapters are at the center of one of the most lively debates in contemporary metaphysics; and the position Hoffman and Rosenkrantz stake out is appealing and carefully articulated. Their views deserve careful attention from philosophers working on the metaphysics of persistence through time, personal identity, artifact identity, and mereology. (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)

1. Categories and the Scientific Turn of Metaphysics: The Notion of World-Fundamentality What are the fundamental inhabitants of the world? This question, as old as it is new, is about the fundamental structure of our world. Is our world a world of Aristotle's ordinary substances, Locke's physical substances, Husserl's wholes, Wittgenstein's facts, Sellars's processes, or Quine's sets? In order to distinguish the sort of metaphysical fundamentality at stake in this discussion from other possible types of fundamentality, I shall call it (...) from now on "world-fundamentality." In this article I want to make a proposal in the context of this metaphysical dispute. The proposal is the addition of a new criterion of world-fundamentality to the existing catalog of independence and simplicity, among some other prominent classical examples. I call this criterion "the materialist criterion of world-fundamentality" because it states that metaphysicians should not decide the question of whether our world is a world of facts rather than a world of sets or other categories without considering the explanatory power of such categories to account for the relation between "the manifest image" and "the scientific image," to use the words of Wilfrid Sellars. (shrink)