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)

I hope to show that supervenience and determination, as I have here intuitively characterized them, are really different expressions of the same core idea which one may make more precise in a great number of different ways, depending on the interpretation one puts on the catchall parameters “cases”, “truth of kind P”and “truth of kind S”.

Nature is complex, exceedingly so. A repercussion of this “complex world constraint” is that it is, in practice, impossible to connect words to the world in a foolproof manner. In this paper I explore the ways in which the complex world constraint makes vagueness, or more generally imprecision, in language in practice unavoidable, illuminates what vagueness comes to, and guides us to a sensible way of thinking about truth. Along the way we see that the problem of ceteris paribus laws (...) is exactly the problem of vagueness and susceptible to similar treatment. (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 paper challenges “traditional measurement-accuracy realism”, according to which there are in nature quantities of which concrete systems have definite values. An accurate measurement outcome is one that is close to the value for the quantity measured. For a measurement of the temperature of some water to be accurate in this sense requires that there be this temperature. But there isn’t. Not because there are no quantities “out there in nature” but because the term ‘the temperature of this water’ fails (...) to refer owing to idealization and failure of specificity in picking out concrete cases. The problems can be seen as an artifact of vagueness, and so doing facilitates applying Eran Tal’s robustness account of measurement accuracy to suggest an attractive way of understanding vagueness in terms of the function of idealization, a way that sidesteps the problems of higher order vagueness and that shows how idealization provides a natural generalization of what it is to be vague. (shrink)

Interest in the history of colonized areas has always been existent. For utilitarian purposes colonizers wanted to know more about the past of the areas they started to trade with and where they settled themselves. This article is confined to the use of the sources for the writing of history in the Dutch East Indies in the 19th century. On a limited scale and for diverse purposes, colonial civil servants, scholars and amateur historians started to investigate the history of the (...) colony. This article scrutinizes whether in the 19th-century Dutch East Indies the European tendency to base history writing on a systematic use of archival sources became in vogue. This question, however, raises immediately some epistemological and practical problems that will be discussed in this article. Was there a similar European concept of archives in the Dutch East Indies? How were indigenous archival sources valued and used? What infrastructure was available to study historical archives? This explorative case study shows how historical interest within a 19th-century colony got stuck into an almost obsessive collecting of historical archives and other source material as a prerequisite for historical research. (shrink)

There are few, perhaps no known, exact, true, general laws. Some of the work of generalization is carried by ceteris paribus generalizations. I suggest that many models continue such work in more complex form, with the idea of ceteris paribus conditions thought of as extended to more general conditions of application. I use the term regularity guide to refer collectively to cp‐generalizations and such regularity‐purveying models. Laws in the traditional sense can then be thought of as idealizations, which idealize away (...) from the conditions of application of regularity guides. If we keep clearly in mind the status of laws as such idealizations, problems surrounding traditional topics—such as lawlikeness, corresponding counterfactuals and modality—no longer look to be intractable. (shrink)

This article explains why Bohr does not need to discuss the projection postulate or the "problem of measurement". Beginning with a thumbnail sketch of Bohr 's general views, it is argued that Bohr interprets the state function as giving a statistical summary of experimental outcomes. Against the objection that Bohr was too much a microrealist to endorse such an instrumentalist statistical interpretation it is suggested that he rejected the issue of microrealism as not well formed. It is shown that on (...) his statistical interpretation Bohr does not need the projection postulate or face the usual problem of measurement. (shrink)

In this paper I will set out my understanding of Bas van Fraassen’s constructive empiricism, some of the difficulties which I believe beset the current version, and, very briefly, some valuable lessons I believe are nonetheless to be learned by considering this view.We’ll need to begin with a review of how van Fraassen conceives of this kind of discussion.

The science of metrology characterizes the concept of precision in exceptionally loose and open terms. That is because the details of the concept must be filled in—what I call narrowing of the concept—in ways that are sensitive to the details of a particular measurement or measurement system and its use. Since these details can never be filled in completely, the concept of the actual precision of an instrument system must always retain some of the openness of its general characterization. The (...) idea that there is something that counts as the actual precision of a measurement system must therefore always remain an idealization, a conclusion that would appear to hold very broadly for terms and the concepts they express. (shrink)

Epistemic humility and semantic considerations for perspectival realism are the focus of Chapter 3 by Paul Teller. Teller characterizes perspectivism as the view that human knowledge is always from a particular perspective. Perspectival realism, he argues, is unlike scientific realism, which subsumes a particular kind of semantic realism, which Teller calls “referential realism.” Referential realism fails according to Teller, and his alternative to this general story of reference is pragmatic in character. The upshot of this pragmatic (...) switch is that perspectivism becomes the only philosophy that doesn’t make referential success a miracle. (shrink)

Taking the semantic values of predicates to be precise properties leaves no room for predicate vagueness. I suggest instead understanding talk of properties as used in semantics as idealized placeholders for the imprecise results of navigating the word/world interface. Basic predications result by applying imprecise informal rules of word use, and it is in the imprecision of these rules that vagueness arises. The idealized property-placeholders then function to separate the messy process of navigating the word/world interface from the exact rules (...) of semantic composition. This scheme applies a methodology of problem separation that is well known in the physical sciences. (shrink)

This essay endorses the conclusion of Sklar’s “Dappled Theories in a Uniform World” that he announces in his abstract, that notwithstanding recent attacks foundational theories are universal in their scope. But Sklar’s rejection of a “pluralist ontology” is questioned. It is concluded that so called “foundational” and “phenomenological” theories are on a much more equal footing as sources of knowledge than Sklar would allow, that “giving an ontology” generally involves dealing in idealizations, and that a transfigured “ficitonalism” provides an (in (...) many respects) better model of scientific knowledge than the model of “foundational truths.”. (shrink)

The book is drawn from the Tarner lectures, delivered in Cambridge in 1993. It is concerned with the ultimate nature of reality, and how this is revealed by modern physical theories such as relativity and quantum theory. The objectivity and rationality of science are defended against the views of relativists and social constructionists. It is claimed that modern physics gives us a tentative and fallible, but nevertheless rational, approach to the nature of physical reality. The role of subjectivity in science (...) is examined in the fields of relativity theory, statistical mechanics and quantum theory, and recent claims of an essential role for human consciousness in physics are rejected. Prospects for a 'Theory of Everything' are considered, and the related question of how to assess scientific progress is carefully examined. (shrink)

Table of Contents Volume I Preface to Volumes I and II: A Guide to the Primer Chapter 1, Basic Ideas and Tools Chapter 2, Transcription between English and Sentence Logic Chapter 3, Logical Equivalence, Logical Truths, and Contradictions Chapter 4, Validity and Conditionals Chapter 5, Natural Deduction for Sentence Logic: Fundamentals Chapter 6, Natural Deduction for Sentence Logic: Strategies Chapter 7, Natural Deduction for Sentence Logic: Derived Rules and Derivations without Premises Chapter 8, Truth Tree for Sentence Logic: Fundamentals Chapter (...) 9, Truth Trees for Sentence Logic: Applications Index for Volume 1 Solutions Manual for Volume 1 Table of Contents to Volume II Introduction to Predicate Logic Notes Chapter 1, Predicate Logic: Syntax Chapter 2, Predicate Logic: Semantics and Validity Chapter 3, More about Quantifiers Chapter 4, Transcription Chapter 5, Natural Deduction for Predicate Logic: Fundamentals Chapter 6, More on Natural Deduction for Predicate Logic Chapter 7, Truth Tress for Predicate Logic: Fundamentals Chapter 8, More on Truth Tress for Predicate Logic Chapter 9, Identity, Functions, and Definite Descriptions Chapter 10, Metatheory: The Basic Concepts Chapter 11, Mathematical Induction Chapter 12, Soundness and Completeness for Sentence Logic Trees Chapter 13, Soundness and Completeness for Sentence Logic Derivations Chapter 14, Koenig’s Lemma, Compactness, and Generalization to Infinite Sets of Premises Chapter 15, Interpretations, Soundness, and Completeness for Predicate Logic Index for Volume II Solutions Manual for Volume II Diagrammatic Summary of Rules Corrections to the Text. (shrink)

Bogen and Woodward argued the indirect connection between data and theory in terms of their conception of “phenomena.” I outline and elaborate on their presentation. To illuminate the connection with contemporary thinking in terms of models, I distinguish between phenomena tokens, representations of which can be identified with data models, and phenomena types that can be identified with relatively low-lying models or aspects of models in the model hierarchy. Throughout I stress the role of idealization in these considerations.

If the semantic values of predicates are, as Williamson assumes (_Philsophical Perspectives,_ _13_, 505–517, 1999, 509) properties in the intensional sense, then epistemicism is immediate. Epistemicism fails, so also this properties account of predicates. I deploy examination of Williamson’s account as a foil against properties as semantic values, showing that his two positive arguments for bivalence fail, as do his efforts to rescue epistemicism from obvious problems. In Part II I argue that, despite the properties account’s problems, it has an (...) important role to play in compositional semantics. We may separate the problem of how smallest parts of language get attached to the world from the problem of how those parts compose to form complex semantic values. For the latter problem we idealize and treat the smallest semantic values as properties (and referents). So doing functions to put to one side how the smallest parts get worldly attachment, a problem that would just get in the way of understanding composition. Attachment to the world must be studied separately, and I review some of the options. As a bonus we see why the requirement of higher order vagueness is an artifact of taking properties as semantic values literally instead of as a simplifying idealization. (shrink)

In quantum field theory divergent expressions are "discarded", leaving finite expressions which provide the best predictions anywhere in science. In fact, this "renormalization procedure" involves no mystery or illegitimate operations. This paper explains, in terms accessible to non-experts, how the procedure really works and explores some different ways in which physicists have suggested that one understand it.

Ronald Giere has argued that at its best science gives us knowledge only from different “perspectives,” but that this knowledge still counts as scientific realism. Others have noted that his “perspectival realism” is in tension with scientific realism as traditionally understood: How can different, even conflicting, perspectives give us what there is really? This essay outlines a program that makes good on Giere’s idea with a fresh understanding of “realism” that eases this tension.

Many in philosophy understand truth in terms of precise semantic values, true propositions. Following Braun and Sider, I say that in this sense almost nothing we say is, literally, true. I take the stand that this account of truth nonetheless constitutes a vitally useful idealization in understanding many features of the structure of language. The Fregean problem discussed by Braun and Sider concerns issues about application of language to the world. In understanding these issues I propose an alternative modeling tool (...) summarized in the idea that inaccuracy of statements can be accommodated by their imprecision. This yields a pragmatist account of truth, but one not subject to the usual counterexamples. The account can also be viewed as an elaborated error theory. The paper addresses some prima facie objections and concludes with implications for how we address certain problems in philosophy. (shrink)

I modify and generalize Carnap’s notion of frameworks as a way of unpacking Goodman’s metaphor of “making worlds with symbols”. My frameworks provide, metaphorically, a way of making worlds out of symbols in as much as all our framework-bound access to the world is through frameworks that always stand to be improved in accuracy, precision, and usually both. Such improvement is characterized in pragmatist terms.

This paper examines and finds wanting the arguments against van Fraassen’s voluntarism, the view that the only constraint of rationality is consistency. Foundationalists claim that if we have no grounds or rationale for a belief or rule, rationality demands that we suspend it. But that begs the question by assuming that there have to be grounds or a rationale. Instead of asking, why should we hold a basic belief or rule, the question has to be: why should not we be (...) committed as we are? Within a system we can sometimes find internal reasons. But, short of assuming foundationalism from the outset, when it comes to our evolving system as a whole there are no grounds for abandoning the commitments that we experience so strongly. Along the way the paper develops a systematic way of talking about terms that cause confusion because of variation in usage: foundationalism, relativism, basic beliefs and rules, voluntarism, etc. (shrink)

The traditional way of thinking about science goes back to the corpuscular philosophy with its micro-reductive mechanism and metaphor of reading God's Book of Nature. This "story-1" with its rhetoric of exact truths contrasts with "story-2" which describes science as a continuation of the always imperfect powers of representation given to us by evolution. On story-2 reduction is one among other knowledge fashioning strategies and shares the imperfections of all human knowledge. When we appreciate that human knowledge always admits of (...) refinement, what appear as "emergent properties" no long seems mysterious. (shrink)

Sainsbury argued that exact extensions for predicates entails the unacceptable infinite tower of higher order vagueness so that exact extensions must be rejected. I offer a second argument: The exact extensions arise when semantic values are assumed to be (exact) properties. But no assignment of unique properties to predicates could arise from any real-world finite basis. How, then, is talk of properties as semantic values to be understood? We distinguish the precise compositional rules of semantics from the operation of messy, (...) imprecise rules at the word/world interface for applicability of minimal predicates. When such application is sufficiently clear it is idealized as property instantiation and semantic composition proceeds in familiar ways. These imprecise rules for application of minimal predicates provide the proper locus for study of vagueness. The conclusions thus far apply to show that higher order vagueness is not forced and that classical logic can generally be retained. I discuss implications for the sorites paradox. Abandoning properties entails abandoning simple correspondence truth understood as Pa is true just in case a has the property signified by P. As an alternative I outline a pragmatist approach to truth, the spirit of which is conveyed by the slogan, “To be true enough is to work well enough.”. (shrink)