This Element explores what it means for two theories in physics to be equivalent, and what lessons can be drawn about their structure as a result. It does so through a twofold approach. On the one hand, it provides a synoptic overview of the logical tools that have been employed in recent philosophy of physics to explore these topics: definition, translation, Ramsey sentences, and category theory. On the other, it provides a detailed case study of how these ideas may be (...) applied to understand the dynamical and spatiotemporal structure of Newtonian mechanics - in particular, in light of the symmetries of Newtonian theory. In so doing, it brings together a great deal of exciting recent work in the literature, and is sure to be a valuable companion for all those interested in these topics. (shrink)

Suppose that one thinks that certain symmetries of a theory reveal “surplus structure”. What would a formalism without that surplus structure look like? The conventional answer is that it would be a reduced theory: a theory which traffics only in structures invariant under the relevant symmetry. In this paper, I argue that there is a neglected alternative: one can work with a sophisticated version of the theory, in which the symmetries act as isomorphisms.

A central issue in the philosophical debates over general relativity concerns the status of the metric field: should it be regarded as part of the background arena in which physical fields evolve, or as a physical field itself? In this paper, we approach this debate through its relationship to the so-called "Problem of Space": the problem of determining which abstract, mathematical geometries are candidate descriptions of physical space. In particular, we explore the way that Hermann Weyl tackled the Problem of (...) Space in the wake of general relativity, and argue that Weyl’s proposed solution reveals a “middle way” between bare-manifold and manifold-plus-metric accounts of spacetime. (shrink)

This article gives an explicit presentation of Newtonian gravitation on the backdrop of Maxwell space-time, giving a sense in which acceleration is relative in gravitational theory. However, caution is needed: assessing whether this is a robust or interesting sense of the relativity of acceleration depends on some subtle technical issues and on substantive philosophical questions over how to identify the space-time structure of a theory.

There are well-known problems associated with the idea of gravitational energy in general relativity. We offer a new perspective on those problems by comparison with Newtonian gravitation, and particularly geometrized Newtonian gravitation. We show that there is a natural candidate for the energy density of a Newtonian gravitational field. But we observe that this quantity is gauge dependent, and that it cannot be defined in the geometrized theory without introducing further structure. We then address a potential response by showing that (...) there is an analogue to the Weyl tensor in geometrized Newtonian gravitation. (shrink)

This paper argues that much of the literature on interpreting scientific theories presupposes a certain picture of what interpretation involves: a picture according to which interpreting a theory is like translating from one language to another. In place of this “external” approach to interpretation, this paper proposes an “internal” approach, according to which interpretation is more concerned with delineating a theory’s internal semantic architecture.

This is an essay about general covariance, and what it says about spacetime structure. After outlining a version of the dynamical approach to spacetime theories, and how it struggles to deal with generally covariant theories, I argue that we should think about the symmetry structure of spacetime rather differently in generally-covariant theories compared to non-generally-covariant theories: namely, as a form of internal rather than external symmetry structure.

In this paper, I consider the role of exact symmetries in theories of physics, working throughout with the example of gravitation set in Newtonian spacetime. First, I spend some time setting up a means of thinking about symmetries in this context; second, I consider arguments from the seeming undetectability of absolute velocities to an anti-realism about velocities; and finally, I claim that the structure of the theory licences us to interpret models which differ only with regards to the absolute velocities (...) of objects as depicting the same physical state of affairs. In defending this last claim, I consider how ideas and resources from the philosophy of language may usefully be brought to bear on this topic. (shrink)

This paper critically assesses whether quantum entanglement can be made compatible with Humean supervenience. After reviewing the prima facie tension between entanglement and Humeanism, I outline a recently-proposed Humean response, and argue that it is subject to two problems: one concerning the determinacy of quantities, and one concerning its relationship to scientific practice.

In a recent paper, Wigglesworth claims that syntactic criteria of theoretical equivalence are not appropriate for settling questions of equivalence between logical theories, since such criteria judge classical and intuitionistic logic to be equivalent; he concludes that logicians should use semantic criteria instead. However, this is an artefact of the particular syntactic criterion chosen, which is an implausible criterion of theoretical equivalence. Correspondingly, there is nothing to suggest that a more plausible syntactic criterion should not be used to settle questions (...) of equivalence between different logical theories; such a criterion is exhibited and shown to judge classical and intuitionistic logic to be inequivalent. (shrink)

This paper seeks to give an account of what could be involved in interpreting a theory. The aim is to try and provide a robust conception of theory-interpretation which operates in terms internal to the representational architecture of the theory, rather than importing meaning by stipulative correspondence to external terms.

There has recently been debate in the literature over whether the metaphysical doctrine popularly known as Humean supervenience can be reconciled—in whole or in part—with certain empirical facts about quantum entanglement. In this paper, I undertake a critical analysis of Humean efforts to effect such a reconciliation. I begin with a discussion of the relationship between Humeanism and quantum mechanics; I suggest that there are some difficulties even when considering single-particle quantum mechanics, but agree that the real problems come when (...) considering many-particle quantum mechanics. I then review the available strategies for overcoming this problem, and find them wanting. (shrink)

In the literature over the Ramsey-sentence approach to structural realism, there is often debate over whether structural realists can legitimately restrict the range of the second-order quantifiers, in order to avoid the Newman problem. In this paper, I argue that even if they are allowed to, it won’t help: even if the Ramsey sentence is interpreted using such restricted quantifiers, it is still an implausible candidate to capture a theory’s structural content. To do so, I use the following observation: if (...) a Ramsey sentence did encode a theory’s structural content, then two theories would be structurally equivalent just in case they have logically equivalent Ramsey sentences. I then argue that this criterion for structural equivalence is implausible, even where frame or Henkin semantics are used. (shrink)

Philosophy Compass, Volume 17, Issue 4, April 2022.

This paper critically assesses whether quantum entanglement can be made compatible with Humean supervenience. After reviewing the prima facie tension between entanglement and Humeanism, I outline a recently-proposed Humean response, and argue that it is subject to two problems: one concerning the determinacy of quantities, and one concerning its relationship to scientific practice.

Data science, and the related field of big data, is an emerging discipline involving the analysis of data to solve problems and develop insights. This rapidly growing domain promises many benefits to both consumers and businesses. However, the use of big data analytics can also introduce many ethical concerns, stemming from, for example, the possible loss of privacy or the harming of a sub-category of the population via a classification algorithm. To help address these potential ethical challenges, this paper maps (...) and describes the main ethical themes that were identified via systematic literature review. It then identifies a possible structure to integrate these themes within a data science project, thus helping to provide some structure in the on-going debate with respect to the possible ethical situations that can arise when using data science analytics. (shrink)

How may we characterize the intrinsic structure of physical quantities such as mass, length, or electric charge? This article shows that group-theoretic methods—specifically, the notion of a free and transitive group action—provide an elegant way of characterizing the structure of scalar quantities, and uses this to give an intrinsic treatment of vector quantities. It also gives a general account of how different scalar or vector quantities may be algebraically combined with one another. Finally, it uses this apparatus to give a (...) simple intrinsic treatment of Newtonian gravitation. (shrink)

This article considers the following question: What is the relationship between supervenience and reduction? I investigate this formally: first, by introducing a recent argument by Christian List to the effect that one can have supervenience without reduction; then, by considering how the notion of Nagelian reduction can be related to the formal apparatus of definability and translation theory; then, by showing how, in the context of propositional theories, topological constraints on supervenience serve to enforce reducibility; and, finally, by showing how (...) constraints derived from the theory of ultraproducts can enforce reducibility in the context of first-order theories. (shrink)

This essay is about how the notion of “structure” in ontic structuralism might be made precise. More specifically, my aim is to make precise the idea that the structure of the world is given by the relations inhering in the world, in such a way that the relations are ontologically prior to their relata. The central claim is the following: one can do so by giving due attention to the relationships that hold between those relations, by making use of certain (...) notions from algebraic logic. (shrink)

It is well-known that the conformal structure of a relativistic spacetime is of profound physical and conceptual interest. In this note, we consider the analogous structure for Newtonian theories. We show that the Newtonian Weyl tensor is an invariant of this structure.

If categorical equivalence is a good criterion of theoretical equivalence, then it would seem that if some class of mathematical structures is represented as a category, then any other class of structures categorically equivalent to it will have the same representational capacities. Hudetz (2019a) has presented an apparent counterexample to this claim; in this note, I argue that the counterexample fails.

Philosophy Compass, Volume 17, Issue 10, October 2022.

Structural realists contend that the properties and relations in the world are more fundamental than the individuals. However, the standard model theory used to analyse the structure of logical theories can make it difficult to see how such an idea could be coherent or workable: for in that theory, properties and relations are constructed as sets of individuals. In this paper, I look at three ways in which structuralists might hope for an alternative: by appealing to predicate-functor logic, Tractarian geometry, (...) or cylindric algebras. I argue that the first two are problematic, but that the third is promising. (shrink)

Steven French’s new book is a bold and ambitious look at the question of what sorts of things scientific theories are—or rather, what they are not. For the purp.

Tomasz Bigaj’s new book is an authoritative and comprehensive discussion of recent issues concerning the means and metaphysical implications of individuating identical quantum particles. This review briefly summarises the book’s contributions and considers some of its implications for the debate over indiscernibility in quantum mechanics.

Essays devoted to the work of the late Neil Wilson, Canadian philosopher and contributor to the field of semantic analysis that emerged from the fusion of logic, pragmatism, and ontology. Many of the essays in this volume take their initial inspiration from Wilson's seminal work Substances Without Substrata.

Multiverse Views in set theory advocate the claim that there are many universes of sets, no-one of which is canonical, and have risen to prominence over the last few years. One motivating factor is that such positions are often argued to account very elegantly for technical practice. While there is much discussion of the technical aspects of these views, in this paper I analyse a radical form of Multiversism on largely philosophical grounds. Of particular importance will be an account of (...) reference on the Multiversist conception, and the relativism that it implies. I argue that analysis of this central issue in the Philosophy of Mathematics indicates that Radical Multiversism must be algebraic, and cannot be viewed as an attempt to provide an account of reference without a softening of the position. (shrink)

Are the objects and events that take place in Virtual Reality genuinely real? Those who answer this question in the affirmative are realists, and those who answer in the negative are irrealists. In this paper we argue against the realist position, as given by Chalmers (2017), and present our own preferred irrealist account of the virtual. We start by disambiguating two potential versions of the realist position—weak and strong— and then go on to argue that neither is plausible. We then (...) introduce a Waltonian variety of ictionalism about the virtual, arguing that this sort of irrealist approach avoids the problems of the realist positions, fits with a unifying theory of representational works, and offers a better account of the phenomenology of engaging in virtual experiences. (shrink)

Set-theoretic and category-theoretic foundations represent different perspectives on mathematical subject matter. In particular, category-theoretic language focusses on properties that can be determined up to isomorphism within a category, whereas set theory admits of properties determined by the internal structure of the membership relation. Various objections have been raised against this aspect of set theory in the category-theoretic literature. In this article, we advocate a methodological pluralism concerning the two foundational languages, and provide a theory that fruitfully interrelates a `structural' perspective (...) to a set-theoretic one. We present a set-theoretic system that is able to talk about structures more naturally, and argue that it provides an important perspective on plausibly structural properties such as cardinality. We conclude the language of set theory can provide useful information about the notion of mathematical structure. (shrink)

Awarding rights to rivers, forests, and other environmental entities (EEs) is a new and increasingly popular approach to environmental protection. The distinctive feature of such rights of nature (RoN) legislation is that direct duties are owed to the EEs. This paper presents a novel rebuttal of the strongest argument against RoN: the no interest argument. The crux of this argument is that because EEs are not sentient, they cannot possess the kinds of interests necessary to ground direct duties. Therefore, they (...) cannot be legitimate rights-bearers. After considering and rejecting standard responses to this argument, the paper challenges its fundamental assumption: that rights-correlative duties must be grounded in the interests of the rights-bearer. The paper then presents the RoN critic with a dilemma. The critic must either accept that EEs are legitimate rights-bearers, or delegitimise many well-established rights-bearers along with EEs. Either way, the no interest argument loses its force. (shrink)

Eco-labels emphasize information disclosure as a tool to induce environmentally friendly behaviors by both firms and consumers. The goal of eco-labels is to reduce information asymmetry between producers and consumers over the environmental attributes of a product or service. However, by focusing on this information asymmetry, rather than on how the label meets consumer needs, eco-labels may send irrelevant, confusing, or even detrimental messages to consumers. In this article, the authors investigate how the environmental signal of eco-labels interacts with product (...) characteristics such as brand, quality, and price. In a discrete choice experiment, the authors examine consumer response to two similar eco-labels for wine, one associated with a quality reduction and the other not. The results show that respondents preferred both eco-labeled wines over otherwise identical conventional counterparts when the price was lower and the wine was from a lower quality region. However, they preferred conventional, more expensive wine from a high-quality region. This preference indicates that respondents not only obtain some warm glow value from eco-labeled wine but also possibly interpret eco-labeling as a signal of lower quality. This relationship held across both types of eco-labels, meaning that consumers did not understand the difference between them. This research contributes to the literature on information disclosure policies by highlighting important elements for effective eco-labels. These elements include consumer awareness and understanding of the eco-label, and consumer willingness to pay for an eco-labeled product. The results emphasize the need to create eco-labels that communicate clearly both the environmental attributes and the private benefits associated with them. (shrink)

The rules for Core Logic are stated, and various important results about the system are summarized. We describe its relationship to other systems, such as Classical Logic, Intuitionistic Logic, Minimal Logic, and the Anderson–Belnap relevance logicR. A precise, positive explication is offered of what it is for the premises of a proof to connect relevantly with its conclusion. This characterization exploits the notion of positive and negative occurrences of atoms in sentences. It is shown that all Core proofs are relevant (...) in this precisely defined sense. We survey extant results about variable-sharing in rival systems of relevance logic, and find that the variable-sharing conditions established for them are weaker than the one established here for Core Logic (and for its classical extension). Proponents of other systems of relevance logic (such asRand its subsystems) are challenged to formulate a stronger variable-sharing condition, and to prove thatRor any of its subsystems satisfies it, but that Core Logic does not. We give reasons for pessimism about the prospects for meeting this challenge. (shrink)

The Royal Liverpool Children’s Inquiry investigated the circumstances leading to the removal, retention, and disposal of human tissue, including children’s organs, at the Royal Liverpool Children’s NHS Trust . It recommended changes to procedures for obtaining consent for postmortems and retaining organs and tissues for research or education. However, the report contains five areas of confusion. Firstly, it allowed the cultural and historical traditions of horror over the use and misuse of body parts to suffuse the logical analysis of past (...) wrongs and future rights. Secondly, it makes an inappropriate conflation between seeking redress for past wrongs and shaping future policy. Thirdly, the report takes a muddled stance over the value of bodily integrity at burial. Fourthly, the report is inconsistent over the justification for future organ and tissue collections. Fifthly, the notion of “respect” is used with troublesome looseness. The extent to which subsequent policy work has furthered the search for greater ethical clarity over these difficult issues is discussed, together with reflection on three particular improvements that could be made to the process of such an inquiry. (shrink)

One of the major contributions which Christopher Hookway has made to pragmatist epistemology is a critical exploration of the role that affective dispositions play in inquiry. According to Hookway, a well-functioning rational inquirer must rely upon a set of pre-reflective and affective dispositions which are not themselves fully available to rational evaluation. Despite their pre-reflective nature, on the pragmatist account these affective dispositions provide us with judgments and evaluations which are in many cases more reliable than those provided by explicit (...) rational reflection. -/- This chapter presents and defends Hookway’s account of the epistemic importance of our affective dispositions. The first section presents three roles which affective dispositions play within inquiry. The second section considers the concern that affective dispositions should be considered impositions upon our epistemic agency. In response, Hookway suggests that we must identify with our affective dispositions, and two interpretations of this claim are offered. The third section considers the possibility that the confidence we have in our affective dispositions might be appropriately shaken if we recognize that they are not shared by other inquirers. The chapter concludes by suggesting that Hookway’s position can overcome this worry by developing his notion of critical self-trust in three distinct ways. (shrink)

Develops a logical analysis of dialogue in which two or more parties attempt to advance their own interests. It includes a classification of the major types of dialogues and a discussion of several important informal fallacies.

This essay presents an ideal for modern Western romantic love.The basic ideas are the following: people want to form a distinctive sort of plural subject with another, what Nozick has called a "We", they want to be loved for properties of certain kinds, and they want this love to establish and sustain a special sort of commitment to them over time.

Given the tremendous proliferation of student plagiarism involving the Internet, the purpose of this study is to determine which theory of ethical reasoning students invoke when defending their transgressions: deontology, utilitarianism, rational self-interest, Machiavellianism, cultural relativism, or situational ethics. Understanding which theory of ethical reasoning students employ is critical, as preemptive steps can be taken by faculty to counteract this reasoning and prevent plagiarism. Additionally, it has been demonstrated that unethical behavior in school can lead to unethical behavior in business; (...) therefore, correcting unethical behavior in school can have a positive impact on organizational ethics. To meet this objective, a content analysis was conducted on the written records of students formally charged with plagiarizing at a large West Coast university. Each case was classified according to the primary ethical reasoning that the student used to justify plagiarism. Results indicate that students predominately invoke deontology, situational ethics, and Machiavellianism. Based on these findings, specific recommendations are offered to curb plagiarism. (shrink)

Neil E. Williams develops a systematic metaphysics centred on the idea of powers, as a rival to neo-Humeanism, the dominant systematic metaphysics in philosophy today. Williams takes powers to be inherently causal properties and uses them as the foundation of his explanations of causation, persistence, laws, and modality.

On his death in 2007, Richard Rorty was heralded by the New York Times as “one of the world’s most influential contemporary thinkers.” Controversial on the left and the right for his critiques of objectivity and political radicalism, Rorty experienced a renown denied to all but a handful of living philosophers. In this masterly biography, Neil Gross explores the path of Rorty’s thought over the decades in order to trace the intellectual and professional journey that led him to that (...) prominence. The child of a pair of leftist writers who worried that their precocious son “wasn’t rebellious enough,” Rorty enrolled at the University of Chicago at the age of fifteen. There he came under the tutelage of polymath Richard McKeon, whose catholic approach to philosophical systems would profoundly influence Rorty’s own thought. Doctoral work at Yale led to Rorty’s landing a job at Princeton, where his colleagues were primarily analytic philosophers. With a series of publications in the 1960s, Rorty quickly established himself as a strong thinker in that tradition—but by the late 1970s Rorty had eschewed the idea of objective truth altogether, urging philosophers to take a “relaxed attitude” toward the question of logical rigor. Drawing on the pragmatism of John Dewey, he argued that philosophers should instead open themselves up to multiple methods of thought and sources of knowledge—an approach that would culminate in the publication of Philosophy and the Mirror of Nature , one of the most seminal and controversial philosophical works of our time. In clear and compelling fashion, Gross sets that surprising shift in Rorty’s thought in the context of his life and social experiences, revealing the many disparate influences that contribute to the making of knowledge. As much a book about the growth of ideas as it is a biography of a philosopher, Richard Rorty will provide readers with a fresh understanding of both the man and the course of twentieth-century thought. (shrink)

Epistemic akrasia can be rational. I consider a lonely pragmatist who believes that her imaginary friend doesn’t exist, and also believes on pragmatic grounds that she should believe in him. She rationally believes that her imaginary friend doesn’t exist, rationally follows various sources of evidence to the view that she should believe in him to end her loneliness, and rationally holds these attitudes simultaneously. Evidentialism suggests that her ambivalent epistemic state is rational, as considerations grounded in the value of truth (...) justify her beliefs. (shrink)

Introduction HLA Hart: A biographical sketch Jurisprudence is the theoretical study of a practical subject. Its object is to achieve a systematic and ...

So‐called downshifters seek more meaningful lives by decreasing the amount of time they devote to work, leaving more time for the valuable goods of friendship, family and personal development. But though these are indeed meaning‐conferring activities, they do not have the right structure to count as superlatively meaningful. Only in work – of a certain kind – can superlative meaning be found. It is by active engagements in projects, which are activities of the right structure, dedicated to the achievement of (...) goods beyond ourselves, that we make our lives superlatively meaningful. (shrink)

What makes an argument in a law case good or bad? This book examines this and other questions central to the study of jurisprudence. Care has been taken to make the legal elements of the book readily accessible to non-lawyers, and the philosophical elements to non-philosophers.

In light of the growing need to pay attention to general public opinions and sentiments toward AI, this paper examines the levels of understandings amongst the Australian public toward the increased societal use of AI technologies. Drawing on a nationally representative survey of 2019 adults across Australia, the paper examines how aware people consider themselves to be of recent developments in AI; variations in popular conceptions of what AI is; and the extent to which levels of support for AI are (...) liable to alter with additional exposure to information about AI. While a majority of respondents consider themselves to have little knowledge and familiarity with the topic of AI, the survey nevertheless finds considerable range of relatively ‘plausible’ basic understandings of what AI is. Significantly, repeated questioning highlights a willingness among many people to reassess their opinions once having received further information about AI, and being asked to think through issues relating to AI and society. These patterns remain relatively consistent, regardless of respondents’ political orientation, income, social class and other demographic characteristics. As such, the paper concludes by considering how these findings provide support for the development of public education efforts to further enhance what might be termed ‘public understanding of AI’. (shrink)

This article draws attention to a pattern of development within science and other intellectual research communities that has received virtually no mention. We propose that subsequent dominance of a research community by a figure responsible for significant innovation often delays progress in the field. During the period in which the revolutionary continues to influence research in a community, far too frequently the effect is to freeze progress within the limited directions which the revolutionary sanctions.

In this paper, we make the case that a person who is considering or has already made a decision that appears seriously harmful to that person should in some cases be judged incapable of making that...