In the New Mechanist literature, most attention has focused on the compositional explanation of processes/activities of wholes by processes/activities of their parts. These are sometimes called “constitutive mechanistic explanations.” In this paper, we defend moving beyond this focus to a Pluralism about compositional explanation by highlighting two additional species of such explanations. We illuminate both Analytic compositional explanations that explain a whole using a compositional relation to its parts, and also Standing compositional explanations that explain a (...) property of a whole using a compositional relation to the properties of its parts. We also highlight how adopting a Pluralism about compositional explanations justifies a more Pluralist view of the ontological posits of such explanations and opens up a range of new research questions. (shrink)

A compelling idea holds that reality has a layered structure. We often disagree about what inhabits the bottom layer, but we agree that higher up we find chemical, biological, geological, psychological, sociological, economic, /etc./, entities: molecules, human beings, diamonds, mental states, cities, interest rates, and so on. How is this intuitive talk of a layered structure of entities to be understood? Traditionally, philosophers have proposed to understand layered structure in terms of either reduction or supervenience. But these traditional views face (...) well-known problems. A plausible alternative is that layered structure is to be explicated by appeal to explanations of a certain sort, termed / grounding explanations/. Grounding explanations tell us what obtains in virtue of what. Unfortunately, the use of grounding explanations to articulate the layered conception faces a problem, which I call /the collapse/. The collapse turns on the question of how to ground the facts stated by the explanations themselves. In this paper I make a suggestion about how to ground explanations that avoids the collapse. Briefly, the suggestion is that the fact stated by a grounding explanation is grounded in its /explanans/. (shrink)

No one has done more for analytic virtue epistemology than Ernie Sosa; indeed, one is tempted to delete ‘virtue’. This is his latest development of his teleolog.

This article focuses on a case that expert practitioners count as an explanation: a mathematical account of Plateau’s laws for soap films. I argue that this example falls into a class of explanations that I call abstract explanations.explanations involve an appeal to a more abstract entity than the state of affairs being explained. I show that the abstract entity need not be causally relevant to the explanandum for its features to be explanatorily relevant. However, it remains unclear (...) how to unify abstract and causal explanations as instances of a single sort of thing. I conclude by examining the implications of the claim that explanations require objective dependence relations. If this claim is accepted, then there are several kinds of objective dependence relations. 1 Introduction2 A Case3 Abstract and Causal Explanations4 Recent Work on Mathematical Explanation5 Explanation and Dependence6 Conclusion. (shrink)

This paper examines explanations that turn on non-local geometrical facts about the space of possible configurations a system can occupy. I argue that it makes sense to contrast such explanations from “geometry of motion” with causal explanations. I also explore how my analysis of these explanations cuts across the distinction between kinematics and dynamics.

Emotions can be explained as specialized states, shaped by natural selection, that increase fitness in specific situations. The physiological, psychological, and behavioral characteristics of a specific emotion can be analyzed as possible design features that increase the ability to cope with the threats and opportunities present in the corresponding situation. This approach to understanding the evolutionary functions of emotions is illustrated by the correspondence between (a) the subtypes of fear and the different kinds of threat; (b) the attributes of happiness (...) and sadness and the changes that would be advantageous in propitious and unpropitious situations; and (c) the social emotions and the adaptive challenges of reciprocity relationships. In addition to addressing a core theoretical problem shared by evolutionary and cognitive psychology, explicit formulations of the evolutionary functions of specific emotions are of practical importance for understanding and treating emotional disorders. (shrink)

Many explanations in science make use of mathematics. But are there cases where the mathematical component of a scientific explanation is explanatory in its own right? This issue of mathematical explanations in science has been for the most part neglected. I argue that there are genuine mathematical explanations in science, and present in some detail an example of such an explanation, taken from evolutionary biology, involving periodical cicadas. I also indicate how the answer to my title question (...) impacts on broader issues in the philosophy of mathematics; in particular it may help platonists respond to a recent challenge by Joseph Melia concerning the force of the Indispensability Argument. (shrink)

In this paper, I present a general theory of topological explanations, and illustrate its fruitfulness by showing how it accounts for explanatory asymmetry. My argument is developed in three steps. In the first step, I show what it is for some topological property A to explain some physical or dynamical property B. Based on that, I derive three key criteria of successful topological explanations: a criterion concerning the facticity of topological explanations, i.e. what makes it true of (...) a particular system; a criterion for describing counterfactual dependencies in two explanatory modes, i.e. the vertical and the horizontal; and, finally, a third perspectival one that tells us when to use the vertical and when to use the horizontal mode. In the second step, I show how this general theory of topological explanations accounts for explanatory asymmetry in both the vertical and horizontal explanatory modes. Finally, in the third step, I argue that this theory is universally applicable across biological sciences, which helps to unify essential concepts of biological networks. (shrink)

The present paper analyzes the self‐generated explanations (from talk‐aloud protocols) that “Good” and “Poor” students produce while studying worked‐out examples of mechanics problems, and their subsequent reliance on examples during problem solving. We find that “Good” students learn with understanding: They generate many explanations which refine and expand the conditions for the action parts of the example solutions, and relate these actions to principles in the text. These self‐explanations are guided by accurate monitoring of their own understanding (...) and misunderstanding. Such learning results in example‐independent knowledge and in a better understanding of the principles presented in the text. “Poor” students do not generate sufficient self‐explanations, monitor their learning inaccurately, and subsequently rely heavily on examples. We then discuss the role of self‐explanations in facilitating problem solving, as well as the adequacy of current AI models of explanation‐based learning to account for these psychological findings. (shrink)

The dispute between the empiricist and interpretivist conceptions of the social sciences is properly conceived not as a matter of reduction or covering laws. Features specific to the social sciences include the following. Explanations of human behavior make reference to intentional causation; social phenomena are permeated with mental components and are self-referential; social science explanations have not been as successful as those in natural science because of their concern with intentional causation, because their explanations must be identical (...) with the propositional content of the mind of the actor, and because a social phenomenon exists only if people believe it exists. Elements of an apparatus necessary to analyze this problematic social ontology are given and include selfreferentiality, constitutive rules, collective intentionality, linguistic permeation of the facts, systematic interrelationships among social facts, and primacy of acts over objects. (shrink)

A main thread of the debate over mathematical realism has come down to whether mathematics does explanatory work of its own in some of our best scientific explanations of empirical facts. Realists argue that it does; anti-realists argue that it doesn't. Part of this debate depends on how mathematics might be able to do explanatory work in an explanation. Everyone agrees that it's not enough that there merely be some mathematics in the explanation. Anti-realists claim there is nothing mathematics (...) can do to make an explanation mathematical ; realists think something can be done, but they are not clear about what that something is. I argue that many of the examples of mathematical explanations of empirical facts in the literature can be accounted for in terms of Jackson and Pettit's [1990] notion of program explanation, and that mathematical realists can use the notion of program explanation to support their realism. This is exactly what has happened in a recent thread of the debate over moral realism. I explain how the two debates are analogous and how moves that have been made in the moral realism debate can be made in the mathematical realism debate. However, I conclude that one can be a mathematical realist without having to be a moral realist. (shrink)

The bridges of Königsberg case has been widely cited in recent philosophical discussions on scientific explanation as a potential example of a structural explanation of a physical phenomenon. However, when discussing this case, different authors have focused on two different versions, depending on what they take the explanandum to be. In one version, the explanandum is the _failure_ of a given individual in performing an Eulerian walk over the bridge system. In the other version, the explanandum is the _impossibility_ of (...) performing an Eulerian walk over the bridges. The goal of this paper is to show that only the latter version amounts to a real case of a structural explanation. I will also suggest how to fix the first version, and show how my remarks apply to other purported cases of structural explanations. (shrink)

Recently philosophers of science have begun to pay more attention to the use of highly idealized mathematical models in scientific theorizing. An important example of this kind of highly idealized modeling is the widespread use of optimality models within evolutionary biology. One way to understand the explanations provided by these models is as a censored causal explanation: an explanation that omits certain causal factors in order to focus on a modular subset of the causal processes that led to the (...) explanandum. In this paper, I first argue that the censored causal model approach fails to establish a permanent explanatory role for optimality models in biology and mischaracterizes the explanatory virtues of biological optimality modeling. In addition, I argue that many biological optimality explanations cannot be characterized as censored causal explanations. In response, I propose an alternative approach that analyzes optimality models’ reliance on synchronically representing a system’s constraints and tradeoffs as well as their employment of various kinds of idealization in order to provide equilibrium explanations. (shrink)

The paper discusses methodological guidelines for evaluating mechanistic explanations. According to current accounts, a satisfactory mechanistic explanation should include all of the relevant features of the mechanism, its component entities and activities, and their properties and organization, as well as exhibit productive continuity. It is not specified, however, how this kind of mechanistic completeness can be demonstrated. I argue that parameter sufficiency inferences based on mathematical model simulations provide a way of determining whether a mechanism capable of producing the (...) phenomenon of interest can be constructed from mechanistic components organized, acting, and having the properties described in the mechanistic explanation. (shrink)

Cornell realists maintain that irreducible moral properties have earned a place in our ontology in virtue of the indispensable role they play in a variety of explanations. These explanations can be divided into two groups: those that employ thin ethical concepts and those that employ thick ethical concepts. Recent work on thick concepts suggests that they are not inherently evaluative in their meaning. If correct, this creates problems for the moral explanations of Cornell realists, since the most (...) persuasive moral explanations are those that employ thick concepts. If thick concepts are not inherently evaluative, then the most plausible explanations on offer cannot support Cornell realism. Moral explanations employing thin concepts, however, are too flimsy to support the view. Unless proponents can develop a compelling story about thick concepts or thin explanations, Cornell realism is in trouble. (shrink)

It is widely thought that there are limits to how things can perceptually appear to us. For instance, nothing can appear both square and circular, or both pure red and pure blue. Adam Pautz has dubbed such constraints “laws of appearance.” But if the laws of appearance obtain, then what explains them? Here I examine the prospects for an empirical explanation of the laws of appearance. First, I challenge extant empirical explanations that appeal purely to the format of perceptual (...) representation. I then develop a hybrid approach, on which the laws are explained not merely by format, but by two further factors: ecological constraints imposed by our environments, and computational constraints embodied by our perceptual systems. While the hybrid approach implies that the laws of appearance are contingent, I argue that this implication is empirically defensible, since even some of the most intuitively compelling laws have real-world counterexamples. (shrink)

There are lots of arguments for, or justifications of, mathematical theorems that make use of principles from physics. Do any of these constitute explanations? On the one hand, physical principles do not seem like they should be explanatorily relevant; on the other, some particular examples of physical justifications do look explanatory. In this article, I defend the idea that physical justifications can and do explain mathematical facts. 1 Physical Arguments for Mathematical Truths2 Preview3 Mathematical Facts4 Purity5 Doubts about Purity: (...) I6 Doubts about Purity: II7 How Physical Arguments Might Explain: I8 How Physical Arguments Might Explain: II9 Conclusion. (shrink)

This paper deals with the "functions of intentional explanations" of actions (IEAs), i.e., explanations that refer to intentional states (beliefs, desires, etc.) of the agent. IEAs can have different formats. We consider these different formats to be instruments that enable the explainer to capture different kinds of information. We pick out two specific formats, i.e. "contrastive" and "descriptive", which will enable us to discuss the functions of IEAs. In many cases the explanation is contrastive, i.e. it makes use (...) of one or more contrasts between real intentional states and ideal intentional states (ideal from the point of view of the explainer). In many other cases IEAs have a descriptive (covering-law) format. The aim of this paper is to analyze the functions the two kinds of explanations can have. We will show that certain functions are better served by one rather than the other format. This leads to pluralism with respect to formats. We argue that both formats are necessary and that their functions are complementary. (shrink)

This paper describes a pattern of explanation prevalent in the biological sciences that I call a ‘lineage explanation’. The aim of these explanations is to make plausible certain trajectories of change through phenotypic space. They do this by laying out a series of stages, where each stage shows how some mechanism worked, and the differences between each adjacent stage demonstrates how one mechanism, through minor modifications, could be changed into another. These explanations are important, for though it is (...) widely accepted that there is an ‘incremental constraint’ on evolutionary change, in an important class of cases it is difficult to see how to satisfy this constraint. I show that lineage explanations answer important questions about evolutionary change, but do so by demonstrating differences between individuals rather than invoking population processes, such as natural selection.1. Introduction2. Turning a ‘Scale’ into a ‘Plume’3. Lineage Explanations in Biology3.1. The evolution of eyes3.2. The evolution of feathers4. The Two Dimensions of a Lineage Explanation4.1. The production dimension4.2. The continuity dimension4.3. The dual role of the parts5. Constraining the Explanations6. Operational and Generative Lineages7. Explaining Change Without Populations8. Conclusion. (shrink)

Ásta’s Categories We Live By is a superb addition to the literature on social metaphysics. In it she offers a powerful framework for understanding the creation and maintenance of social categories. In this commentary piece, I want to draw attention to Ásta’s reliance on explanatory individualism – the view that the social world is best explained by the actions and attitudes of individuals. I argue that this reliance makes it difficult for Ásta to explain how many social categories are maintained (...) and why certain categories are reliably available to us and so resistant to change. These explanatory deficiencies could be overcome, I argue, by eschewing explanatory individualism and positing social structures to figure in structural explanations of the maintenance and availability of social categories. (shrink)

Objective chance and morality are rarely discussed together. In this paper, I argue that there is a surprising similarity in the epistemic standing of our beliefs about both objective chance and objective morality. The key similarity is that both of these sorts of belief are undermined -- in a limited, but important way -- by plausible genealogical accounts of the concepts that feature in these beliefs. The paper presents a brief account of Richard Joyce's evolutionary hypothesis of the genealogy of (...) morality, and refines the debunking argument which he consequently mounts against moral beliefs. The evolutionary hypothesis in question suggests that we could easily have failed to believe that moral judgments have a peculiarly categorical force. This aspect of our moral belief, then, is unreliable. The paper then turns to chance, and presents a more speculative hypothesis about the cultural evolution of ideas about chance, as a peculiarly physical and objective form of probability. It is argued that, in the same way that our beliefs about morality could easily have lacked the commitment to inescapable force, our beliefs about chance could easily have lacked various idiosyncratic commitments. By a similar argument then, these aspects of our chance beliefs are unreliable. In the final section of the paper, I review some recent objections to genealogical debunking arguments, due to Roger White and Guy Kahane, showing how the form of argument developed in this paper is immune to these criticisms. (shrink)

Nozick analyzes fundamental issues, such as the identity of the self, knowledge and skepticism, free will, the foundations of ethics, and the meaning of life.

Recently, researchers have begun to empirically investigate the gender gap in philosophy and provide potential explanations for the underrepresentation of women in philosophy relative to their representation in other disciplines. This empirical research as well as research on the gender gap in Science, Technology, Engineering, and Mathematics fields has shed light on a priori, armchair explanations of the gender gap. For example, implicit bias and stereotype threat may contribute much less to the philosophy gender gap than previously thought. (...) However, new candidate contributing factors have emerged. Drawing on the theoretical resources concerning fixed mindsets in response to difficult tasks, a new theory suggests that practitioners in various fields, including philosophy, hold the belief that success in their fields requires natural brilliance. Further, the extent to which members of a field hold that belief predicts the diversity of the members of that field. Initial findings suggest that among the set of students who hold these beliefs, women are disproportionately disinterested in continuing in philosophy. Other hypotheses seem plausible, such as the idea that lay people hold gendered schemas about philosophy, but require more empirical support to be partial explanations. Future empirical research should focus on these plausible hypotheses, replications of previous findings, and investigating the effects of intersectionality within the gender gap. (shrink)

& Explanations of psychological phenomena seem to genervs. with neuroscience) design. Crucially, the neuroscience inate more public interest when they contain neuroscientific..

The preference for `reductive explanations', i.e., explanations of the behaviour of a system at one `basic' level of sub-systems, seems to be related, at least in the physical sciences, to the success of a formal technique –- perturbation theory –- for extracting insight into the workings of a system from a supposedly exact but intractable mathematical description of the system. This preference for a style of explanation, however, can be justified only in the case of `regular' perturbation problems (...) in which the zeroth-order term in the perturbation expansion (characterizing the `basic' level) is the uniform limit of the exact solution as the perturbation parameter goes to zero. For the much more frequent case of `singular' perturbation problems, various techniques have been developed which all introduce a hierarchy of levels or scales into the solutions. These levels describe processes or sub-systems operating simultaneously at different time or spatial scales. No single level, no reductive explanation in the above sense will provide an adequate explanation of the system behaviour. Explanations involving multiple levels should be recognized as far more common even in supposedly reductionist disciplines like physics. (shrink)

The very idea of narrative explanation invites two objections: a methodological objection, stating that narrative structure is too far from the form of a scientific explanation to count as an explanation, and a metaphysical objection, stating that narrative structure situates historical practice too close to the writing of fiction. Both of these objections, however, are illfounded. The methodological objection and the dispute regarding the status of historical explanation can be disposed of by revealing their motivating presupposition: the plausibility of an (...) exclusivist explication of explanation which appeals either to the unity-of-method thesis or some implicit notion of analytic equivalence, both problematic philosophical doctrines. The metaphysical objection fails with the rejection of the idea, in Mink's phrase, of an "untold story." The argument against history as an "untold story" develops from Danto's image of an Ideal Chronicler recording ideal events. A consequence of rejecting this view is that it no longer makes sense to speak of historical narratives as true or false. However, this failure engenders no special problem for assessing the objectivity or explanatory utility of narratives qua explanations. (shrink)

In this paper, I try to develop an account of functions which might be of use to a biologist engaged in classifying and explaining natural phenomena. The most pressing difficulty facing such an account is the need to reconcile the normativity of function statements with their explanatory force. I consider two familiar accounts of function statements, offered by Andrew Woodfield and Larry Wright . I examine both accounts in search of the strongest possible formulation of each type of theory. I (...) fail to find a formulation of the ACT which is completely immune from counterexamples, but I do find a satisfactory formulation of the HT. In particular, I argue that the HT should incorporate a point central to the ACT that functions involve a means/end relationship between two devices. I then consider functional explanations: I argue that an ACT which holds that function statements are intrinsically explanatory cannot offer a satisfactory account. The account offered by Woodfield, who rejects this assumption, is adequate, though less attractive than the account suggested by the HT. I conclude by considering how the HT can account for functional norms. (shrink)

In his book _Normative Reasons_ (Logins A in Normative reasons: between reasoning and explanation. Cambridge University Press, 2022), Artürs Logins accepts that a normative reason to do A is always an answer to a ‘Why A?’ question, but rejects the unifying explanationist theory which identifies reasons always as explanations. On his Erotetic Theory, ‘Why A?’ questions sometimes seek an explanation (in No-Challenge contexts) but sometimes seek rather an argument (in Challenge contexts). This article defends a unifying, end-relational explanationist theory (...) by interpreting ‘Why A?’ as being elliptical for different questions, with different explananda. I also respond inter alia to Logins’ claim that end-relational explanationism is extensionally inadequate because it fails to account for normative reasons for attitudes. Finally, I consider the objection that explanationism fails to account for normative reasons’ characteristic functional role of settling deliberation, introducing a “chicken or egg” dilemma over the order of discovery of reasons and options, resolved by suggesting that in open-ended deliberation reasons guide us to options without being represented under the guise of “reasons”. (shrink)

Necessity and sufficiency are the building blocks of all successful explanations. Yet despite their importance, these notions have been conceptually underdeveloped and inconsistently applied in explainable artificial intelligence (XAI), a fast-growing research area that is so far lacking in firm theoretical foundations. Building on work in logic, probability, and causality, we establish the central role of necessity and sufficiency in XAI, unifying seemingly disparate methods in a single formal framework. We provide a sound and complete algorithm for computing explanatory (...) factors with respect to a given context, and demonstrate its flexibility and competitive performance against state of the art alternatives on various tasks. (shrink)

Russellians, Relationists, and Fregeans disagree about the nature of propositional-attitude content. We articulate a framework to characterize and evaluate this disagreement. The framework involves two claims: i) that we should individuate attitude content in whatever way fits best with the explanations that characteristically appeal to it, and ii) that we can understand those explanations by analogy with other ‘higher-level’ explanations. Using the framework, we argue for an under-appreciated form of Russellianism. Along the way we demonstrate that being (...) more explicit about the framework in which debates about attitude content take place allows us to more precisely characterize the space of possible positions and the dialectic between them. (shrink)

So far, the methodological debate about neuroeconomics rarely refers to original methodological positions in the neurosciences. I confront one of the most influential ones, the constitutive explanations or mechanism approach, with methodological claims that directly relate the economic model of choice with neuronal embodiments, represented by Glimcher’s influential work. Constitutive explanations are composite and non-reductionist, therefore allow for recognizing complex causal interactions between basal neuronal phenomena and cognitive structures, also involving external symbolic media. I demonstrate the power of (...) this methodology in discussing the example of money, which Glimcher posits as one of the most important research tasks in further developing neuroeconomics. Whereas Glimcher justifies neuroscientific reductionism by presenting an evolutionary rationale for deploying formal economic models on particular modules enabling choice, the case of money reveals the need for mechanistic explanations that include a substantial role for cultural evolution, though recognizing causal interactions with basal neuronal mechanisms. (shrink)

This paper discusses the constitution relation within the framework of the mechanistic approach to neurobiological explanation. It develops a regularity theory of constitution as an alternative to the manipulationist theory of constitution advocated by some of the proponents of the mechanistic approach. After the main problems of the manipulationist account of constitution have been reviewed, the regularity account is developed based on the notion of a minimal type relevance theory. A minimal type relevance theory expresses a minimally necessary condition of (...) a given type that consists of a disjunction of minimally sufficient conditions of that type. Afterwards, the attained definition is successfully applied in an analysis of the logical structure of the explanation of spatial learning and memory in rats as a paradigm neurobiological explanation. The overall result is a more robust and more precise version of the mechanistic approach to neurobiological explanations. (shrink)