The no-miracles argument for realism and the pessimistic meta-induction for anti-realism pull in opposite directions. Structural Realism---the position that the mathematical structure of mature science reflects reality---relieves this tension.

Structural equations have become increasingly popular in recent years as tools for understanding causation. But standard structural equations approaches to causation face deep problems. The most philosophically interesting of these consists in their failure to incorporate a distinction between default states of an object or system, and deviations therefrom. Exploring this problem, and how to fix it, helps to illuminate the central role this distinction plays in our causal thinking.

It is widely thought that firms that employ workers in “sweatshop” conditions wrongfully exploit those workers. This claim has been challenged by those who argue that because companies are not obligated to hire their workers in the first place, employing them cannot be wrong so long as they voluntarily accept their jobs and genuinely benefit from them. In this article, I argue that we can maintain that at least many sweatshop employees are wrongfully exploited, while accepting the plausible claim at (...) the core of many defenses of sweatshops, namely that engaging in a voluntary and mutually beneficial transaction with a person in need cannot constitute morally worse treatment of that person than doing nothing at all to benefit her. We can do this, I claim, by accepting that wealthy multinational corporations have positive duties to employ or otherwise benefit the global poor. I argue that these duties can be plausibly grounded in the fact that potential sweatshop workers are victims of global structural injustice, from which multinational corporations typically benefit. (shrink)

The aim of this paper is to revisit the phlogiston theory to see what can be learned from it about the relationship between scientific realism, approximate truth and successful reference. It is argued that phlogiston theory did to some extent correctly describe the causal or nomological structure of the world, and that some of its central terms can be regarded as referring. However, it is concluded that the issue of whether or not theoretical terms successfully refer is not the key (...) to formulating the appropriate form of scientific realism in response to arguments from theory change, and that the case of phlogiston theory is shown to be readily accommodated by ontic structural realism. (shrink)

Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics and computer science. The book contains a wealth of results on proof-theoretical systems, including extensions of such systems (...) from logic to mathematics, and on the connection between the two main forms of structural proof theory - natural deduction and sequent calculus. The authors emphasize the computational content of logical results. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated. (shrink)

This paper argues that ontic structural realism (OSR) faces a dilemma: either it remains on the general level of realism with respect to the structure of a given theory, but then it is, like epistemic structural realism, only a partial realism; or it is a complete realism, but then it has to answer the question how the structure of a given theory is implemented, instantiated or realized and thus has to argue for a particular interpretation of the theory (...) in question. This claim is illustrated by examining how OSR fares with respect to the three main candidates for an ontology of quantum mechanics, namely many worlds-type interpretations, collapse-type interpretations and hidden variable-type interpretations. The result is that OSR as such is not sufficient to answer the question of what the world is like if quantum mechanics is correct. (shrink)

This paper centers around the notion that internal, mental representations are grounded in structural similarity, i.e., that they are so-called S-representations. We show how S-representations may be causally relevant and argue that they are distinct from mere detectors. First, using the neomechanist theory of explanation and the interventionist account of causal relevance, we provide a precise interpretation of the claim that in S-representations, structural similarity serves as a “fuel of success”, i.e., a relation that is exploitable for the (...) representation using system. Then, we discuss crucial differences between S-representations and indicators or detectors, showing that—contrary to claims made in the literature—there is an important theoretical distinction to be drawn between the two. (shrink)

Contemporary architecture is increasingly grounded in science and mathematics. Architectural discourse has shifted radically from the sometimes disorienting Derridean deconstruction, to engaging scientific terms such as fractals, chaos, complexity, nonlinearity, and evolving systems. That's where the architectural action is -- at least for cutting-edge architects and thinkers -- and every practicing architect and student needs to become conversant with these terms and know what they mean. Unfortunately, the vast majority of architecture faculty are unprepared to explain them to students, not (...) having had a scientific education themselves. Here is an architecture book by an architect/scientist, just in time to help architects in the new millennium. Alexander discusses many of the scientific terms arising in cutting-edge architecture, and explains them to those who don't have scientific training or advanced mathematical knowledge. We find discussions of the evolution of forms; the importance of process in design; iteration; genetic algorithms; sequences of transformations; different levels of scale (i.e. fractals); etc. They are explained here by an architect who is also a scientist, because he wants to change the way architects think and build. Alexander is not merely popularizing other scientists' results and making them accessible to architects: he is in fact presenting new and original scientific work that ties many of these concepts together in a way that will be useful to architects. (shrink)

While structural equations modeling is increasingly used in philosophical theorizing about causation, it remains unclear what it takes for a particular structural equations model to be correct. To the extent that this issue has been addressed, the consensus appears to be that it takes a certain family of causal counterfactuals being true. I argue that this account faces difficulties in securing the independent manipulability of the structural determination relations represented in a correct structural equations model. I (...) then offer an alternate understanding of structural determination, and I demonstrate that this theory guarantees that structural determination relations are independently manipulable. The account provides a straightforward way of understanding hypothetical interventions, as well as a criterion for distinguishing hypothetical changes in the values of variables which constitute interventions from those which do not. It additionally affords a semantics for causal counterfactual conditionals which is able to yield a clean solution to a problem case for the standard ‘closest possible world’ semantics. (shrink)

Structural realism is considered by many realists and antirealists alike as the most defensible form of scientific realism. There are now many forms of structural realism and an extensive literature about them. There are interesting connections with debates in metaphysics, philosophy of physics and philosophy of mathematics. This entry is intended to be a comprehensive survey of the field.

In contrast to individualistic explanations of social injustice that appeal to implicit attitudes, structural explanations are unintuitive: they appeal to entities that lack clear ontological status, and the explanatory mechanism is similarly unclear. This makes structural explanations unappealing. The present work proposes a structural explanation of one type of injustice that happens in conversations, discursive injustice. This proposal meets two goals. First, it satisfactorily accounts for the specific features of this particular kind of injustice; and second, it (...) articulates a structural explanation that overcomes their unattractiveness. The main idea is that discursive injustice is not the result of biased interlocutors, but of problematic discursive norms. (shrink)

The paper compares ontic structural realism in quantum physics with ontic structural realism about space–time. We contend that both quantum theory and general relativity theory support a common, contentful metaphysics of ontic structural realism. After recalling the main claim of ontic structural realism and its physical support, we point out that both in the domain of quantum theory and in the domain of general relativity theory, there are objects whose essential ways of being are certain relations (...) so that these objects do not possess an intrinsic identity. Nonetheless, the qualitative, physical nature of these relations is in the quantum case (entanglement) fundamentally different from the classical, metrical relations treated in general relativity theory. (shrink)

Recent accounts of actual causation are stated in terms of extended causal models. These extended causal models contain two elements representing two seemingly distinct modalities. The first element are structural equations which represent the or mechanisms of the model, just as ordinary causal models do. The second element are ranking functions which represent normality or typicality. The aim of this paper is to show that these two modalities can be unified. I do so by formulating two constraints under which (...) extended causal models with their two modalities can be subsumed under so called which contain just one modality. These two constraints will be formally precise versions of Lewissystem of weights or priorities” governing overall similarity between possible worlds. (shrink)

I respond to the frequent objection that structural realism fails to sharply state an alternative to the standard predicate-logic, object / property / relation, way of doing metaphysics. The approach I propose is based on what I call a ‘math-first’ approach to physical theories (close to the so-called ‘semantic view of theories') where the content of a physical theory is to be understood primarily in terms of its mathematical structure and the representational relations it bears to physical systems, rather (...) than as a collection of sentences that attempt to make true claims about those systems (a ‘language-first’ approach). I argue that adopting the math-first approach already amounts to a form of structural realism, and that the choice between epistemic and ontic versions of structural realism is then a choice between a language-first and math-first view of metaphysics; I then explore the status of objects (and properties and relations) in fundamental and non-fundamental physics for both versions of math-first structural realism. (shrink)

It is often argued that our obligations to address structural injustice are collective in character. But what exactly does it mean for ‘ordinary citizens’ to have collective obligations visà- vis large-scale injustice? In this paper, I propose to pay closer attention to the different kinds of collective action needed in addressing some of these structural injustices and the extent to which these are available to large, unorganised groups of people. I argue that large, dispersed and unorganised groups of (...) people are often in a position to perform distributive collective actions. As such, ordinary citizens can have massively shared obligations to address structural injustice through distributive action, but, ultimately, such obligations are ‘collective’ only in a fairly weak sense. (shrink)

Social problems such as racism, sexism, and inequality are often cited as structural rather than individual in nature. What does it mean to invoke a social structural explanation, and how do such explanations relate to individualistic ones? This article explores recent philosophical debates concerning the nature and usages of social structural explanation. I distinguish between two central kinds of social structural explanation: those that are autonomous from psychology, and those that are not. This distinction will help (...) clarify the explanatory power that each type of SSE has, points of convergence with methodological traditions such as critical theory and rational choice theory, and the difficulties that each type of SSE faces. (shrink)

The claim that workers are subject to structural domination in the labor market is a central contention of the recent radical turn in republican political theory, but it remains undertheorized. Two core components—the claim that workers have “no reasonable alternative” to selling their labor to capitalists and the relevance of exposure to potential interference in such cases—remain unclear. Without a more precise specification of the conditions of structural domination, it is difficult to assess how well republican prescriptions minimize (...) it. I develop a revised defense of the central claim through an analysis of these components. I clarify what it is to have reasonable alternatives in the labor market but show that holding such options is insufficient to avoid structural domination. I argue that the dependence at the heart of structural domination can be constituted multifariously and develop an additional criterion directed at capturing such dependence in production. (shrink)

Motivated by examples from general relativity and Newtonian gravitation, this essay attempts to distinguish between the dynamical structure associated with a theory in physics, and its kinematical structure. This enables a distinction to be made between a structural realist interpretation of a theory based on its dynamical structure, and a structural realist interpretation of spacetime, as described by a theory, based on its kinematical structure. I offer category-theoretic formulations of dynamical and kinematical structure and indicate the extent to (...) which such formulations deflect recent criticism of the radical ontic structural realist's conception of structure as "relations devoid of relata". (shrink)

Moral agency is limited, imperfect, and structurally constrained. This is evident in the many ways we all unwittingly participate in widespread injustice through our everyday actions, which I call ‘structural wrongs’. To do justice to these facts, I argue that we should distinguish between summative and formative moral criticism. While summative criticism functions to conclusively assess an agent's performance relative to some benchmark, formative criticism aims only to improve performance in an ongoing way. I show that the negative sanctions (...) associated with summative responses are only justifiably imposed under certain conditions when persons exercise their agency wrongly — conditions that do not always hold for structural wrongs. Yet even in such cases we can still use formative responses, which are warranted whenever agents fall short of moral ideals. Expanding our repertoire of moral criticism to include both summative and formative responses enables us to better appreciate both the powers and limitations of our agency, and the complexity of moral life. (shrink)

Consider a general class of structural inference rules such as exchange, weakening, contraction and their generalizations. Among them, some are harmless but others do harm to cut elimination. Hence it is natural to ask under which condition cut elimination is preserved when a set of structural rules is added to a structure-free logic. The aim of this work is to give such a condition by using algebraic semantics. We consider full Lambek calculus (FL), i.e., intuitionistic logic without any (...) structural rules, as our basic framework. Residuated lattices are the algebraic structures corresponding to FL. In this setting, we introduce a criterion, called the propagation property, that can be stated both in syntactic and algebraic terminologies. We then show that, for any set R of structural rules, the cut elimination theorem holds for FL enriched with R if and only if R satisfies the propagation property. As an application, we show that any set R of structural rules can be "completed" into another set R*, so that the cut elimination theorem holds for FL enriched with R*, while the provability remains the same. (shrink)

It is well known that languages differ in how they encode motion. Languages such as English use verbs that communicate the manner of motion (e.g., climb, float), while languages such as Greek often encode the path of motion in verbs (e.g., advance, exit). In two studies with English- and Greek-speaking adults and 5-year-olds, we ask how such lexical constraints are used in combination with structural cues in hypothesizing meanings for novel motion verbs cross-linguistically. We show that lexicalization biases affect (...) the interpretations of motion verbs in both young children and adults across different languages; furthermore, their scope of application is larger than previously thought, since they also extend to the domain of caused motion events. Crucially, we find that the language-specific effects of such biases interact with universal mappings between syntactic structure and semantic content. Finally, we demonstrate that the combined effects of lexical and structural cues shift non-linguistic biases observed during event categorization: even though speakers of English and Greek share non-linguistic preferences in categorizing spontaneous and caused motion, they focus on different components of motion events when building hypotheses about the meaning of novel motion verbs. (shrink)

The elements of structural models used in the social sciences are built up from four fundamental assumptions. It is then shown how the central idea of qualitative probabilistic causality follows as a special case of this covariational account. The relationships of both instrumentalism and common cause arguments for scientific realism to these structures is demonstrated. It is concluded that a predictivist argument against a thoroughgoing instrumentalism can be given, and hence why the difference between experimental and non-experimental contexts is (...) important to arguments for scientific realism. (shrink)

Recently, several authors have pointed out that substructural logics are adequate for developing naive theories that represent semantic concepts such as truth. Among them, three proposals have been explored: dropping cut, dropping contraction and dropping reflexivity. However, nowhere in the substructural literature has anyone proposed rejecting the structural rule of weakening, while accepting the other rules. Some theorists have even argued that this task was not possible, since weakening plays no role in the derivation of semantic paradoxes. In this (...) article, I introduce a theory for naive truth based on the logic resulting from dropping the rule of weakening from classical logic, and maintaining the other structural rules. (shrink)

This paper outlines and defends a novel position in the color realism debate, namely structural realism. This position is novel in that it dissociates the veridicality of color attributions from the claim that physical objects are themselves colored. Thus, it is realist about color in both the semantic and epistemic senses, but not the ontic sense. The generality of this position is demonstrated by applying it to other “secondary qualities,” including heat, musical pitch, and odor. The basic argument proceeds (...) by analogy with the theory of measurement. I argue that perceptual experiences are analogous to numerical structures in that they are suitable for measurement, but only report measured values after they have been linked to states of a measurement device via calibration. Since the calibration of our sensory apparatus varies with context, it is inappropriate to identify specific experiences with specific properties in the world. Rather, it is structural relations between possible experiences which represent relations between possible external properties, and it is at the level of these structural relationships that veridicality is appropriately assessed. (shrink)

This symposium of the Journal of Bioethical Inquiry illustrates structural competency: how clinical practitioners can intervene on social and institutional determinants of health. It will require training clinicians to see and act on structural barriers to health, to adapt imaginative structural approaches from fields outside of medicine, and to collaborate with disciplines and institutions outside of medicine. Case studies of effective work on all of these levels are presented in this volume. The contributors exemplify structural competency (...) from many angles, from the implications of epigenetics for environmental intervention in personalized medicine to the ways clinicians can act on fundamental causes of disease, address abuses of power in clinical training, racially desegregate cities to reduce health disparities, address the systemic causes of torture by police, and implement harm-reduction programs for addiction in the face of punitive drug laws. Together, these contributors demonstrate the unique roles that clinicians can play in breaking systemic barriers to health and the benefit to the U.S. healthcare system of adopting innovations from outside of the United States and outside of clinical medicine. (shrink)

The study aims to help characterize the sort of structures about which people can acquire unconscious knowledge. It is already well established that people can implicitly learn n-grams and also repetition patterns. We explore the acquisition of unconscious structural knowledge of symmetry. Chinese Tang poetry uses a specific sort of mirror symmetry, an inversion rule with respect to the tones of characters in successive lines of verse. We show, using artificial poetry to control both n-gram structure and repetition patterns, (...) that people can implicitly learn to discriminate inversions from non-inversions, presenting a challenge to existing models of implicit learning. (shrink)

Structural realists of nearly all stripes endorse the structural continuity claim. Roughly speaking, this is the claim that the structure of successful scientific theories survives theory change because it has latched on to the structure of the world. In this paper I elaborate, elucidate and modify the structural continuity claim and its associated argument. I do so without presupposing a particular conception of structure that favours this or that kind of structural realism. Instead I focus on (...) how structural realists can best account for the neutrally formulated historical facts. The result, I hope, crystallises some of the shared commitments, desiderata and limits of structural realists. (shrink)

In this paper I challenge and adjudicate between the two positions that have come to prominence in the scientific realism debate: deployment realism and structural realism. I discuss a set of cases from the history of celestial mechanics, including some of the most important successes in the history of science. To the surprise of the deployment realist, these are novel predictive successes toward which theoretical constituents that are now seen to be patently false were genuinely deployed. Exploring the implications (...) for structural realism, I show that the need to accommodate these cases forces our notion of “structure” toward a dramatic depletion of logical content, threatening to render it explanatorily vacuous: the better structuralism fares against these historical examples, in terms of retention, the worse it fares in content and explanatory strength. I conclude by considering recent restrictions that serve to make “structure” more specific. I show however that these refinements will not suffice: the better structuralism fares in specificity and explanatory strength, the worse it fares against history. In light of these case studies, both deployment realism and structural realism are significantly threatened by the very historical challenge they were introduced to answer. (shrink)

Reflection on the historical injustice suffered by many formerly colonized groups has left us with a peculiar account of their claims to material objects. One important upshot of that account, relevant to present day justice, is that many people seem to think that members of indigenous groups have special claims to the use of particular external objects by virtue of their attachment to them. In the first part of this paper I argue against that attachment-based claim. In the second part (...) I suggest that, to provide a normatively defensible account of why sometimes agents who are attached to certain external objects might also have special claims over them, the most important consideration is whether the agents making such claims suffer from structural injustice in the present. In the third part I try to explain why structural injustice matters, in what way attachment-based claims relate to it and when they count. (shrink)

Structural requirements of rationality prohibit various things, like having inconsistent combinations of attitudes, having means-end incoherent combinations of attitudes, and so on. But what is the distinctive feature of structural requirements of rationality? And do we fall under an obligation to be structurally rational? These issues have been at the heart of significant debates over the past fifteen years. Some philosophers have recently argued that we can unify the structural requirements of rationality by analyzing what is constitutive (...) of our attitudes (Lee, 2020; Worsnip, 2018a). It has also been suggested that, in the course of good first-personal deliberation, agents should treat structurally irrational combinations of attitudes as off-limits (Worsnip, 2021). In this paper, I raise a worry for these two theses concerning structural rationality. Roughly, I argue that some imperfect epistemic agents (like us) can be disposed to have structurally irrational combinations of attitudes. Also, when these imperfect agents deliberate, they should not treat structurally irrational combinations of attitudes as off-limits. Given our imperfections, being structurally irrational can very well be the best option we have. More generally, these observations reveal that structural rationality should not always be theorized independently from more “substantive” norms, like responsiveness to reasons or expected value optimization. (shrink)

In this paper we argue that structural explanations are an effective way of explaining well known relativistic phenomena like length contraction and time dilation, and then try to understand how this can be possible by looking at the literature on scientific models. In particular, we ask whether and how a model like that provided by Minkowski spacetime can be said to represent the physical world, in such a way that it can successfully explain physical phenomena structurally. We conclude by (...) claiming that a partial isomorphic approach to scientific representation can supply an answer only if supplemented by a robust injection of pragmatic factors. (shrink)

The focus in the literature on scientific explanation has shifted in recent years towards model-based approaches. In recent work, Alisa Bokulich has argued that idealization has a central role to play in explanation. Bokulich claims that certain highly-idealized, structural models can be explanatory, even though they are not considered explanatory by causal, mechanistic, or covering law accounts of explanation. This paper focuses on Bokulich’s account in order to make the more general claim that there are problems with maintaining that (...) a structural criterion can capture the way that highly-idealized models explain. This paper examines Bokulich’s claim that the structural model explanation of quantum wavefunction scarring, featuring semiclassical mechanics, is deeper than the explanation provided by the local quantum model. The challenge for Bokulich is to show that the semiclassical model answers a wider range of w-questions, as this is her method of assessing structural information. I look at two reasonable approaches employing w-questions, and I argue that neither approach is ultimately satisfactory. Because structural similarity has preferences for more fundamental models, I argue that the local quantum model provides explanations that at least as deep as the semiclassical ones. The criterion either wrongly identifies all models as explanatory, or prefers models from fundamental theory. Either way, it cannot capture the way that highly-idealized models explain. (shrink)

A philosophically useful account of social structure must accommodate the fact that social structures play an important role in structural explanation. But what is a structural explanation? How do structural explanations function in the social sciences? This paper offers a way of thinking about structural explanation and sketches an account of social structure that connects social structures with structural explanation.

This article develops and defends a triadic account of structural domination, according to which structural domination (e.g. patriarchy, white supremacy, capitalism) is a triadic relation between dominator(s), dominated, and regulator(s)—the constitutive domination dyad plus those roles and norms expressively upholding it. The article elaborates on the relationship between structure and agency from the perspective of both oppressor and oppressed and discusses the deduction of the concept of the capitalist state from the concept of capitalism. On the basis of (...) these definitions, it shows that structural domination under capitalism presupposes collective power but no joint agency or shared intentions on the part of the dominators. (shrink)

Immer noch wird in der Wissenschaftsphilosophie der Sozialwissenschaften der Dualismus zwischen Natur- und Sozialwissenschaften diskutiert. Diese Analyse will das Problem als fiktiv erweisen. Zu diesem Zweck werden zunächst intuitiv plausible Argumente gegen eine Trennung vorgebracht, die vor allem auf die "neuen" diachronen Entwicklungen in den Naturwissenschaften abheben. Damit wird die These der strukturellen Gleichheit von Natur- und Sozialwissenschaften vorbereitet. Die These selbst wird mittels des formalen Instrumentariums des strukturalistischen Theorienkonzepts von Stegmüller/Sneed belegt. Dieses Konzept erweist die strukturelle Gleichheit aller Wissenschaften, (...) die sich auf die Realität beziehen. Von daher kann der Dualismus von Natur- und Sozialwissenschaften nicht länger aufrecht erhalten werden. (shrink)

Structural analogies connect Williamson’s epistemology and action theory: for example, action is the direction-of-fit mirror image of knowledge, and knowledge stands to belief as action stands to intention. These structural analogies, for Williamson, are meant to illuminate more generally how ‘mirrors’ reversing direction of fit should be understood as connecting the spectrum of our cognitive and practically oriented mental states. This paper has two central aims, one negative and the other positive. The negative aim is to highlight some (...) intractable problems with Williamson’s preferred analogical picture, which links the cognitive and the practical through the nexus of direction-of-fit mirroring. The positive aim of the paper is to propose a better alternative. In particular, we show that an achievement-theoretic proposal captures what is in common across the range of attitudes that exhibit the kind of structure that knowledge-belief, action-desire/intention do, while at the same time avoiding the problems shown to face Williamson’s proposed picture. Moreover, we draw attention to several key theoretical benefits of embracing our proposed achievement-theoretic picture, including some of the key benefits of the knowledge-first programme that Williamson’s own analogies were designed to secure. (shrink)