This collection explores the meaning of maps and of map-making in the modern world.

Recent advances in machine learning methods have created opportunities to eliminate unfairness from algorithmic decision making. Multiple computational techniques (i.e., algorithmic fairness criteria) have arisen out of this work. Yet, urgent questions remain about the perceived fairness of these criteria and in which situations organizations should use them. In this paper, we seek to gain insight into these questions by exploring fairness perceptions of five algorithmic criteria. We focus on two key dimensions of fairness evaluations: distributive fairness and procedural fairness. (...) We shed light on variation in the potential for different algorithmic criteria to facilitate distributive fairness. Subsequently, we discuss procedural fairness and provide a framework for understanding how algorithmic criteria relate to essential aspects of this construct, which helps to identify when a specific criterion is suitable. From a practical standpoint, we encourage organizations to recognize that managing fairness in machine learning systems is complex, and that adopting a blind or one-size-fits-all mentality toward algorithmic criteria will surely damage people’s attitudes and trust in automated technology. Instead, firms should carefully consider the subtle yet significant differences between these technical solutions. (shrink)

We begin by considering two principles, each having the form causal completeness ergo screening-off. The first concerns a common cause of two or more effects; the second describes an intermediate link in a causal chain. They are logically independent of each other, each is independent of Reichenbach's principle of the common cause, and each is a consequence of the causal Markov condition. Simple examples show that causal incompleteness means that screening-off may fail to obtain. We derive a stronger result: in (...) a rather general setting, if the composite cause C1 & C2 & … & Cn screens-off one event from another, then each of the n component causes C1, C2, …, Cn must fail to screen-off. The idea that a cause may be ordinally invariant in its impact on different effects is defined; it plays an important role in establishing this no-go theorem. Along the way, we describe how composite and component causes can all screen-off when ordinal invariance fails. We argue that this theorem is relevant to assessing the plausibility of the two screening-off principles. The discovery of incomplete causes that screen-off is not evidence that causal completeness must engender screening-off. Formal and epistemic analogies between screening-off and determinism are discussed. (shrink)

ABSTRACT Darwin claims in the Origin that similarity is evidence for common ancestry, but that adaptive similarities are ‘almost valueless’ as evidence. This second claim seems reasonable for some adaptive similarities but not for others. Here we clarify and evaluate these and related matters by using the law of likelihood as an analytic tool and by considering mathematical models of three evolutionary processes: directional selection, stabilizing selection, and drift. Our results apply both to Darwin’s theory of evolution and to modern (...) evolutionary biology. _1_ Introduction _2_ The Likelihood Framework _3_ A Sufficient Condition for a Similarity to Favour Common Ancestry over Separate Ancestry _4_ The 1/p Criterion and Its Limitations _5_ Directional Selection versus Drift _6_ Stabilizing Selection versus Drift _7_ Going beyond Two Taxa _8_ Conclusions Appendix. (shrink)

In 1978, Yu. F. Borisov presented an axiom system using a few basic assumptions and four explicit axioms, the fourth being a formulation of the relativity principle; and he demonstrated that this axiom system had (up to choice of units) only two models: a relativistic one in which worldview transformations are Poincaré transformations and a classical one in which they are Galilean. In this paper, we reformulate Borisov’s original four axioms within an intuitively simple, but strictly formal, first-order logic framework, (...) and convert his basic background assumptions into explicit axioms. Instead of assuming that the structure of physical quantities is the field of real numbers, we assume only that they form an ordered field. This allows us to investigate how Borisov’s theorem depends on the structure of quantities. We demonstrate (as our main contribution) how to construct Euclidean, Galilean, and Poincaré models of Borisov’s axiom system over every non-Archimedean field. We also demonstrate the existence of an infinite descending chain of models and transformation groups in each of these three cases, something that is not possible over Archimedean fields. As an application, we note that there is a model of Borisov’s axioms that satisfies the relativity principle, and in which the worldview transformations are Euclidean isometries. Over the field of reals it is easy to eliminate this model using natural axioms concerning time’s arrow and the absence of instantaneous motion. In the case of non-Archimedean fields, however, the Euclidean isometries appear intrinsically as worldview transformations in models of Borisov’s axioms and neither the assumption of time’s arrow, nor the rejection of instantaneous motion, can eliminate them. (shrink)

A beneficial effect of gesture on learning has been demonstrated in multiple domains, including mathematics, science, and foreign language vocabulary. However, because gesture is known to co‐vary with other non‐verbal behaviors, including eye gaze and prosody along with face, lip, and body movements, it is possible the beneficial effect of gesture is instead attributable to these other behaviors. We used a computer‐generated animated pedagogical agent to control both verbal and non‐verbal behavior. Children viewed lessons on mathematical equivalence in which an (...) avatar either gestured or did not gesture, while eye gaze, head position, and lip movements remained identical across gesture conditions. Children who observed the gesturing avatar learned more, and they solved problems more quickly. Moreover, those children who learned were more likely to transfer and generalize their knowledge. These findings provide converging evidence that gesture facilitates math learning, and they reveal the potential for using technology to study non‐verbal behavior in controlled experiments. (shrink)

Rational analysis (Anderson 1990, 1991a) is an empiricalprogram of attempting to explain why the cognitive system isadaptive, with respect to its goals and the structure of itsenvironment. We argue that rational analysis has two importantimplications for philosophical debate concerning rationality. First,rational analysis provides a model for the relationship betweenformal principles of rationality (such as probability or decisiontheory) and everyday rationality, in the sense of successfulthought and action in daily life. Second, applying the program ofrational analysis to research on human reasoning (...) leads to a radicalreinterpretation of empirical results which are typically viewed asdemonstrating human irrationality. (shrink)

In this paper we set out to explore the enactments of risk by clinicians involved in the development of stem cell therapy for liver disease. In the process, we contribute to a performative re-thinking of how ‘risk’ can be analytically treated in relation to health. The bulk of the paper, drawing on interview data, is concerned with how clinicians’ accounts about the risks entailed in their research-oriented work performatively ‘make’ clinicians themselves, but also various other ‘constituencies’ – notably, publics and (...) regulatory actors, and also such diverse ‘entities’ as scientific rigour and ethics. We trace the ways in which they enact the complexities of taking risks in the context of public demands, regulatory constraints, and resource limitation and explore how clinicians tend to represent themselves as caught between the ‘rock of courage’ and the ‘hard place of caution’. (shrink)

We explicate representational content by addressing how representations that ex- plain intelligent behavior might be acquired through processes of Darwinian evo- lution. We present the results of computer simulations of evolved neural network controllers and discuss the similarity of the simulations to real-world examples of neural network control of animal behavior. We argue that focusing on the simplest cases of evolved intelligent behavior, in both simulated and real organisms, reveals that evolved representations must carry information about the creature’s environ- ments (...) and further can do so only if their neural states are appropriately isomor- phic to environmental states. Further, these informational and isomorphism rela- tions are what are tracked by content attributions in folk-psychological and cognitive scientific explanations of these intelligent behaviors. (shrink)

Let G be a finite group. For every formula ø in the language of groups, let K denote the class of groups H such that ø is a normal abelian subgroup of H and the quotient group H;ø is isomorphic to G. We show that if G is nilpotent and its order is not square-free, then there exists a formula ø such that the theory of K is undecidable.

This book brings together leading international learning and attention researchers to provide both a comprehensive and wide-ranging overview of the current state of knowledge of this area as well as new perspectives and directions for the future. There are coherent themes that run throughout the book, but there are also, inevitably, fundamental disagreements between contributors on the role of attention in learning. Together, the views expressed in this book paint a picture of a vibrant and exciting area of psychological research, (...) and will be essential reading for researchers of learning and attention. (shrink)

Brent Kious has recently attacked several arguments generally adduced to support anti-doping in sports, which are widely supported by the sports medicine fraternity, international sports federations, and international governments. We show that his attack does not succeed for a variety of reasons. First, it uses an overly inclusive definition of doping at odds with the WADA definition, which has global, if somewhat contentious, currency. Second, it seriously misconstrues the position it attacks, rendering the attack without force against a more balanced (...) construal of an anti-doping position. Third, it makes unwarranted appeals to matters Kious considers morally ‘clear’, while simultaneously attacking a position many others take to be equally morally ‘clear’, namely that of anti-doping. Such an inconsistency, attacking and appealing to the moral status quo as befits one’s argument, is not acceptable without further qualification. Fourth, his position suffers from a general methodological flaw of over-reliance upon argumentation by analogy. Moreover, it is argued that the analogies, being poorly selected and developed, fail to justify his conclusion that the anti-doping lobby lacks philosophical and moral authority for its stance. These issues are symptomatic of a more fundamental problem: any attempt at providing a blanket solution to the question of whether doping is morally acceptable or not is bound to run up against problems when applied to highly specific contexts. Thus, rather than reaching any particular conclusion for or against doping products or processes in this article, we conclude that an increased context-sensitivity will result in a more evenhanded appraisal of arguments on the matter. (shrink)

In the formation of the multi-disciplinary field that investigates the participation of disabled persons in all forms of physical activity, little ethical and philosophical work has been published. This essay serves to contextualise a range of issues emanating from adapted physical activity (APA) and disability sports. First, we offer some general historical and philosophical remarks about the field which serve to situate those issues at the crossroads between the philosophy of disability and the philosophy of sports. Secondly, we bring brief (...) but critical attention to the contestation of key concepts such as ?ability? and ?normality? and the recent criticisms of polarisation of the medical and social models of disability. Finally, we show how these conceptual issues are implicated in the whole spectrum of contexts of APA and disability sports from the ethics of research with and for the disabled, to coaching, rehabilitation and teaching, and sports administration, that are predicated on key ethical concepts including empathy, entitlement and equity. (shrink)

ABSTRACTWhen processing information about human faces, we have to integrate different sources of information like skin colour and emotional expression. In 3 experiments, we investigated how these features are processed in a top-down manner when task instructions determine the relevance of features, and in a bottom-up manner when the stimulus features themselves determine process priority. In Experiment 1, participants learned to respond with approach-avoidance movements to faces that presented both emotion and colour features. For each participant, only one of these (...) two features was task-relevant while the other one could be ignored. In contrast to our predictions, we found better learning of task-irrelevant colour when emotion was task-relevant than vice versa. Experiment 2 showed that the learning of task-irrelevant emotional information was improved in general when participants’ awareness was increased by adding NoGo-trials. Experiment 3 replicated these results... (shrink)

Distributed representations can be distributed in very many ways. The specific choice of representation for a specific model is based on considerations unique to the area of study. General statements about the effectiveness of distributed models are therefore of little value. The popularity of these models is discussed, particularly with respect to reporting conventions.

Kant’s political theory stands in the social contract tradition, but departs significantly from earlier versions of social contract theory. Most importantly Kant holds, against Hobbes and Locke, that we have not merely a pragmatic reason but an obligation to exit the state of nature and found a state. Kant holds that each person has an innate right to freedom, but it is possible to simultaneously honor everyone’s right only under the rule of law. Since we are obligated to respect each (...) person’s right to freedom, and can do so only in a state, we are obligated to submit to the authority of the state if we have one, and to establish one if we do not. In the first half of the essay I reconstruct this argument in more detail. In the second half I survey four points of controversy: (i) What is the relationship between Kant’s political philosophy and his moral philosophy? (ii) How does the innate right to freedom support the postulate that we are permitted to acquire property and other private rights? (iii) How does the postulate support an obligation to found the state? (iv) How should we understand Kant’s views about political revolutions? (shrink)

Benacerraf’s 1965 multiple-reductions argument depends on what I call ‘deferential logicism’: his necessary condition for number-set identity is most plausible against a background Quineanism that allows autonomy of the natural number concept. Steinhart’s ‘folkist’ sufficient condition on number-set identity, by contrast, puts that autonomy at the center — but fails for not taking the folk perspective seriously enough. Learning from both sides, we explore new conditions on number-set identity, elaborating a suggestion from Wright.

Objects appear to fall into different sorts, each with their own criteria for identity. This raises the question of whether sorts overlap. Abstractionists about numbers—those who think natural numbers are objects characterized by abstraction principles—face an acute version of this problem. Many abstraction principles appear to characterize the natural numbers. If each abstraction principle determines its own sort, then there is no single subject-matter of arithmetic—there are too many numbers. That is, unless objects can belong to more than one sort. (...) But if there are multi-sorted objects, there should be cross-sortal identity principles for identifying objects across sorts. The going cross-sortal identity principle, ECIA2 of Cook and Ebert (2005), solves the problem of too many numbers. But, I argue, it does so at a high cost. I therefore propose a novel cross-sortal identity principle, based on embeddings of the induced models of abstracts developed by Walsh (2012). The new criterion matches ECIA2’s success, but offers interestingly different answers to the more controversial identifications made by ECIA2. (shrink)

I begin with a quotation from Thomas Reid.

It is often alleged that an agent is morally responsible in a liability sense for a transgression just in case s/he deserves a negative interpersonal response for that transgression, blaming responses such as resentment and indignation being paradigms. Aside from a few exceptions, guilt is cited in recent discussions of moral responsibility, if at all, as merely an effect of being blamed, or as a reliable indicator of moral responsibility, but not itself an explanation of moral responsibility. In this paper, (...) I argue that an agent is morally responsible in a liability sense for a transgression just in case s/he deserves to feel moral guilt for that transgression. I argue that this alternative view offers all that the predominant blame-focused view offers, while also solving some puzzling features of moral responsibility. Specifically, it offers a compelling way to reconcile conflicting intuitions about the suberogatory, and allows those who do not understand what Darwall calls ‘second-personal’ reasons to be morally responsible for their immoral acts. (shrink)

Michael F. Duggan ABSTRACT: This article examines the basis for testing historical claims and proffers the observation that the historical method is akin to the scientific method in that it utilizes critical elimination rather than justification. Building on the critical rationalism of Karl Popper – and specifically the deductive component of the scientific method called ….

I argue that we cannot adequately characterize the aims of education in terms of some formal conception of what it is to think well. Implementing any such aim requires reliance on and communication of further, substantive normative commitments. This reveals that a standard contrast between an old-fashioned approach to education that aims to communicate a particular normative outlook, and a progressive approach that aims to develop skills of critical reasoning and reflection is confused and misleading.

I attempt to vindicate our authority to create new practical reasons for others by making choices of own own. In The Doctrine of Right Kant argues that we have an obligation to leave the Juridical State of Nature and found the state. In a less familiar passage in Religion within the Bounds of Mere Reason he argues for an obligation to leave what he calls the Ethical State of Nature and join together in the Moral Community. I read both texts (...) as addressing and trying to resolve a tension between our individual freedom and our authority to make claims on one another. I explicate the political argument, and then develop the view that Kant sketches in the Religion, arguing that regarding others as capable of making choices that give you reasons to act is a condition of the full exercise of your autonomy. (shrink)

We often come to value someone or something through experience of that person or thing. You may thereby come to embrace a value that you did not grasp prior to the experience in question. Moreover, it seems that in a large and important subset of cases you could not have fully appreciated that value merely by considering a report of the reasons or arguments that purport to establish that it is valuable. Despite its ubiquity, this phenomenon goes missing in a (...) great deal of contemporary work in ethics and political philosophy. In this paper I further specify the phenomenon of interest by developing a series of examples. Then I support the claim that philosophers routinely overlook it by surveying several significant philosophical positions that do so. (shrink)

I argue that rather than aiming at the well-being of those whom we love, we should aim to share in their ends. The former stance runs the risk of being objectionably paternalistic and, as I explain, only the latter makes reciprocal relationships possible. I end by diagnosing our attraction to the idea that we should promote our loved-ones’ well-being.

Berislav Marušić’s On the Temporality of Emotions is a lovely book. Marušić confronts a puzzle about grief and anger that many will find familiar from their own.

Are people rational? This question was central to Greek thought and has been at the heart of psychology and philosophy for millennia. This book provides a radical and controversial reappraisal of conventional wisdom in the psychology of reasoning, proposing that the Western conception of the mind as a logical system is flawed at the very outset. It argues that cognition should be understood in terms of probability theory, the calculus of uncertain reasoning, rather than in terms of logic, the calculus (...) of certain reasoning. (shrink)

Rawls' requirement that citizens of liberal democracies support only policies which they believe can be justified in 'public reason' depends on a certain ideal for the relationships between citizens. This is a valuable ideal, and thus citizens have reasons to try to achieve it. But it is not always possible to find the common ground that we would need in order to do so, and thus we should reject Rawls' strong claim that we have an obligation to defend our views (...) in public reason. Because I recognize that we have strong reasons to conduct our political enquiry within the guidelines of political liberalism, but deny that we always have an obligation to do so, one might call my view 'permissive political liberalism'. (shrink)

Many thinkers agree that facilitating the development of students’ autonomy is a proper aim of education generally and higher education in particular. I defend a version of the autonomy view, but not as I think its other advocates imagine it. I suggest that an important aim of education is the facilitation of intellectual virtues. What is right about the idea that education should facilitate students’ autonomy is best captured in virtue terms as intellectual charity and humility.

The Other Adam Smith represents the next wave of critical thinking about the still under-examined work of this paradigmatic Enlightenment thinker. Not simply another book about Adam Smith, it allows and even necessitates his inclusion in the realm of theory in the broadest sense. Moving beyond his usual economic and moral philosophical texts, Mike Hill and Warren Montag take seriously Smith's entire corpus, his writing on knowledge, affect, sociability and government, and political economy, as constituting a comprehensive—though highly contestable—system (...) of thought. We meet not just Smith the economist, but Smith the philosopher, Smith the literary critic, Smith the historian, and Smith the anthropologist. Placed in relation to key thinkers such as Hume, Lord Kames, Fielding, Hayek, Von Mises, and Agamben, this other Adam Smith, far from being localized in the history of eighteenth-century economic thought or ideas, stands at the center of the most vibrant and contentious debates of the twentieth and twenty-first centuries. (shrink)

This article improves two existing theorems of interest to neologicist philosophers of mathematics. The first is a classification theorem due to Fine for equivalence relations between concepts definable in a well-behaved second-order logic. The improved theorem states that if an equivalence relation E is defined without nonlogical vocabulary, then the bicardinal slice of any equivalence class—those equinumerous elements of the equivalence class with equinumerous complements—can have one of only three profiles. The improvements to Fine’s theorem allow for an analysis of (...) the well-behaved models had by an abstraction principle, and this in turn leads to an improvement of Walsh and Ebels-Duggan’s relative categoricity theorem. (shrink)

I argue that political liberals should not support the monopoly of a single educational approach in state sponsored schools. Instead, they should allow reasonable citizens latitude to choose the worldview in which their own children are educated. I begin by defending a particular conception of political liberalism, and its associated requirement of public reason, against the received interpretation. I argue that the values of respect and civic friendship that motivate the public reason requirement do not support the common demand that (...) citizens “bracket” their comprehensive commitments in politics. Rather, citizens should seek to enact policies the justification of which is compatible with the truth of their fellow reasonable citizens’ worldviews. Next I argue that no single educational approach can meet this standard of justification. Many believe that state sponsored education in a pluralist, liberal society ought to present multiple worldviews in a neutral way. I argue that this aspiration is unrealizable, and no other educational model will plausibly meet the justificatory demand. Finally, I address two objections to my favored alternative: that it may allow for the inculcation of disrespect, and that it violates children’s autonomy. Against the first, I claim that political liberals have no grounds for thinking that reasonable citizens will seek to inculcate disrespect. Finally, I argue that there is no conception of autonomy that can sustain the second. (shrink)