This paper adds temporal logic to public announcement logic (PAL) and dynamic epistemic logic (DEL). By adding a previous-time operator to PAL, we express in the language statements concerning the muddy children puzzle and sum and product. We also express a true statement that an agent’s beliefs about another agent’s knowledge flipped twice, and use a sound proof system to prove this statement. Adding a next-time operator to PAL, we provide formulas that express that belief revision does not take place (...) in PAL. We also discuss relationships between announcements and the new knowledge agents thus acquire; such relationships are related to learning and to Fitch’s paradox. We also show how inverse programs and hybrid logic each can be used to help determine whether or not an arbitrary structure represents the play of a game. We then add a past-time operator to DEL, and discuss the importance of adding yet another component to the language in order to prove completeness. (shrink)

This paper aims to extend in two directions the probabilistic dynamic epistemic logic provided in Kooi’s paper (J Logic Lang Inform 12(4):381–408, 2003) and to relate these extensions to ones made in van Benthem et al. (Proceedings of LOFT’06. Liverpool, 2006). Kooi’s probabilistic dynamic epistemic logic adds to probabilistic epistemic logic sentences that express consequences of public announcements. The paper (van Benthem et al., Proceedings of LOFT’06. Liverpool, 2006) extends (Kooi, J Logic Lang Inform 12(4):381–408, 2003) to using action models, (...) but in both papers, the probabilities are discrete, and are defined on trivial σ -algebras over finite sample spaces. The first extension offered in this paper is to add a previous-time operator to a probabilistic dynamic epistemic logic similar to Kooi’s in (J Logic Lang Inform 12(4):381–408, 2003). The other is to involve non-trivial σ -algebras and continuous probabilities in probabilistic dynamic epistemic logic. (shrink)

This paper provides a sound and complete proof system for a language that adds to Dynamic Epistemic Logic a discrete previous-time operator as well as single symbol formulas that partially reveal the most recent event that occurred. The completeness theorem is by filtration followed by model unraveling and other model transformations. Decidability follows from the completeness proof. The degree to which it is important to include the additional single symbol formulas is addressed in a discussion about the difficulties of the (...) completeness for a language that only adds the previous-time operator to DEL. Discussion is also given regarding the completeness for a language obtained by removing common knowledge operators from. (shrink)

We present Dynamic Epistemic Temporal Logic, a framework for reasoning about operations on multi-agent Kripke models that contain a designated temporal relation. These operations are natural extensions of the well-known “action models” from Dynamic Epistemic Logic. Our “temporal action models” may be used to define a number of informational actions that can modify the “objective” temporal structure of a model along with the agents’ basic and higher-order knowledge and beliefs about this structure, including their beliefs about the time. In essence, (...) this approach provides one way to extend the domain of action model-style operations from atemporal Kripke models to temporal Kripke models in a manner that allows actions to control the flow of time. We present a number of examples to illustrate the subtleties involved in interpreting the effects of our extended action models on temporal Kripke models. We also study preservation of important epistemic-temporal properties of temporal Kripke models under temporal action model-induced operations, provide complete axiomatizations for two theories of temporal action models, and connect our approach with previous work on time in DEL. (shrink)

Modal logics have proven to be a very successful tool for reasoning about games. However, until now, although logics have been put forward for games in both normal form and games in extensive form, and for games with complete and incomplete information, the focus in the logic community has hitherto been on games with pure strategies. This paper is a first to widen the scope to logics for games that allow mixed strategies. We present a modal logic for games in (...) normal form with mixed strategies, and demonstrate its soundness and strong completeness. Characteristic for our logic is a number of infinite rules. (shrink)

This volume is a collection of essays by various contributors in honor of the late Laurence Berns, Richard Hammond Elliot Tutor Emeritus at St. John's College, Annapolis. The essays address the literary, political, theological, and philosophical themes of his life's work as a scholar, teacher, and constant companion of the "great books.".

In this paper we show a duality between two approaches to represent quantum structures abstractly and to model the logic and dynamics therein. One approach puts forward a “quantum dynamic frame” :2267–2282, 2005), a labelled transition system whose transition relations are intended to represent projections and unitaries on a Hilbert space. The other approach considers a “Piron lattice”, which characterizes the algebra of closed linear subspaces of a Hilbert space. We define categories of these two sorts of structures and show (...) a duality between them. This result establishes, on one direction of the duality, that quantum dynamic frames represent quantum structures correctly; on the other direction, it gives rise to a representation of dynamics on a Piron lattice. (shrink)

Let ${\mathcal{P}_s}$ be the lattice of degrees of non-empty ${\Pi_1^0}$ subsets of 2 ω under Medvedev reducibility. Binns and Simpson proved that FD(ω), the free distributive lattice on countably many generators, is lattice-embeddable below any non-zero element in ${\mathcal{P}_s}$ . Cenzer and Hinman proved that ${\mathcal{P}_s}$ is dense, by adapting the Sacks Preservation and Sacks Coding Strategies used in the proof of the density of the c.e. Turing degrees. With a construction that is a modification of the one by Cenzer (...) and Hinman, we improve on the result of Binns and Simpson by showing that for any ${\mathcal{U} < _s \mathcal{V}}$ , we can lattice embed FD(ω) into ${\mathcal{P}_s}$ strictly between ${deg_s(\mathcal{U})}$ and ${deg_s({\mathcal V})}$ . We also note that, in contrast to the infinite injury in the proof of the Sacks Density Theorem, in our proof all injury is finite, and that this is also true for the proof of Cenzer and Hinman, if a straightforward simplification is made. (shrink)

Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{P}_s}$$\end{document} be the lattice of degrees of non-empty \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Pi_1^0}$$\end{document} subsets of 2ω under Medvedev reducibility. Binns and Simpson proved that FD(ω), the free distributive lattice on countably many generators, is lattice-embeddable below any non-zero element in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{P}_s}$$\end{document}. Cenzer and Hinman proved that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{P}_s}$$\end{document} is (...) dense, by adapting the Sacks Preservation and Sacks Coding Strategies used in the proof of the density of the c.e. Turing degrees. With a construction that is a modification of the one by Cenzer and Hinman, we improve on the result of Binns and Simpson by showing that for any \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{U} < _s \mathcal{V}}$$\end{document}, we can lattice embed FD(ω) into \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{P}_s}$$\end{document} strictly between \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${deg_s(\mathcal{U})}$$\end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${deg_s({\mathcal V})}$$\end{document}. We also note that, in contrast to the infinite injury in the proof of the Sacks Density Theorem, in our proof all injury is finite, and that this is also true for the proof of Cenzer and Hinman, if a straightforward simplification is made. (shrink)

We ask whether it is reasonable to delay or refuse to take COVID-19 vaccines that have been shown in clinical trials to be safe and effective against infectious diseases. We consider two kinds of vaccine hesitancy. The first is geared to scientifically informed open questions about vaccines. We argue that in cases where the data is not representative of relevant groups, such as pregnant women and ethnic minorities, hesitancy can be reasonable on epistemic grounds. However, we argue that hesitancy is (...) not reasonable if a vaccine has passed well-conducted clinical trials. The second kind of hesitancy is to do with beliefs about the institutions offering a successfully trialled vaccine and the justifiability of cooperating with those institutions. For example, in the UK, distrust of the UK Government or the National Health Service is identified as a factor in the vaccine hesitancy of minority ethnic populations. We ask whether this sort of hesitation is reasonable given normative requirements of fair co-operation, both with those institutions and the wider population. We suggest that the answer is not straightforward. Sometimes the hesitation is unreasonable but understandable. -/- . (shrink)

Deliberation and democratic legitimacy -- Moral pluralism and political consensus -- Associations and democracy (with Joel Rogers) -- Freedom of expression -- Procedure and substance in deliberative democracy -- Directly-deliberative polyarchy (with Charles Sabel) -- Democracy and liberty -- Money, politics, political equality -- Privacy, pluralism, and democracy -- Reflections on deliberative democracy -- Truth and public reason.

It has been standard philosophical practice in analytic philosophy to employ intuitions generated in response to thought-experiments as evidence in the evaluation of philosophical claims. In part as a response to this practice, an exciting new movement—experimental philosophy—has recently emerged. This movement is unified behind both a common methodology and a common aim: the application of methods of experimental psychology to the study of the nature of intuitions. In this paper, we will introduce two different views concerning the relationship that (...) holds between experimental philosophy and the future of standard philosophical practice (what we call, the proper foundation view and the restrictionist view), discuss some of the more interesting and important results obtained by proponents of both views, and examine the pressure these results put on analytic philosophers to reform standard philosophical practice. We will also defend experimental philosophy from some recent objections, suggest future directions for work in experimental philosophy, and suggest what future lines of epistemological response might be available to those wishing to defend analytic epistemology from the challenges posed by experimental philosophy. (shrink)

Experimental philosophy uses experimental research methods from psychology and cognitive science in order to investigate both philosophical and metaphilosophical questions. It explores philosophical questions about the nature of the psychological world - the very structure or meaning of our concepts of things, and about the nature of the non-psychological world - the things themselves. It also explores metaphilosophical questions about the nature of philosophical inquiry and its proper methodology. This book provides a detailed and provocative introduction to this innovative field, (...) focusing on the relationship between experimental philosophy and the aims and methods of more traditional analytic philosophy. Special attention is paid to carefully examining experimental philosophy's quite different philosophical programs, their individual strengths and weaknesses, and the different kinds of contributions that they can make to our philosophical understanding. Clear and accessible throughout, it situates experimental philosophy within both a contemporary and historical context, explains its aims and methods, examines and critically evaluates its most significant claims and arguments, and engages with its critics. (shrink)

This chapter argues that epistemic uses of the imagination are a sui generis form of reasoning. The argument proceeds in two steps. First, there are imaginings which instantiate the epistemic structure of reasoning. Second, reasoning with imagination is not reducible to reasoning with doxastic states. Thus, the epistemic role of the imagination is that it is a distinctive way of reasoning out what follows from our prior evidence. This view has a number of important implications for the epistemology of the (...) imagination. For one thing, it clarifies the epistemic role of widely invoked “constraints” on the imagination. For another, it highlights important and underappreciated disanalogies between how perceptual experiences and imaginings justify beliefs. Ultimately, the view that we can reason with imagination offers an illuminating and theoretically fruitful framework through which to understand the epistemic structure of the imagination. (shrink)

Our interest in this paper is to drive a wedge of contention between two different programs that fall under the umbrella of “experimental philosophy”. In particular, we argue that experimental philosophy’s “negative program” presents almost as significant a challenge to its “positive program” as it does to more traditional analytic philosophy.

This paper defends pro-realism, the view that it is better if moral realism is true rather than any of its rivals. After offering an account of philosophical angst, I make three general arguments. The first targets nihilism: in securing the possibility of moral justification and vindication in objecting to certain harms, moral realism secures something that is non-morally valuable and even essential to the meaning and intelligibility of our lives. The second argument targets antirealism: moral realism secures a desirable independence (...) for moral justification that is qualitatively different from the anti-realistic construal of independence that is only explicable in terms of degrees of distance from our subjective responses and attitudes. Finally, I argue that while the pan-expressivist semantic program of quasi-realism has significant effects on what can be appropriately said in meta-ethical discourse, it provides no comfort to the pro-realist who is already angsty about anti-realism. (shrink)

As COVID-19 spread, clinicians warned of mental illness epidemics within the coronavirus pandemic. Funding for digital mental health is surging and researchers are calling for widespread adoption to address the mental health sequalae of COVID-19. -/- We consider whether these technologies improve mental health outcomes and whether they exacerbate existing health inequalities laid bare by the pandemic. We argue the evidence for efficacy is weak and the likelihood of increasing inequalities is high. -/- First, we review recent trends in digital (...) mental health. Next, we turn to the clinical literature to show that many technologies proposed as a response to COVID-19 are unlikely to improve outcomes. Then, we argue that even evidence-based technologies run the risk of increasing health disparities. We conclude by suggesting that policymakers should not allocate limited resources to the development of many digital mental health tools and should focus instead on evidence-based solutions to address mental health inequalities. (shrink)

A recent systematic review of Machine Learning (ML) approaches to health data, containing over 100 studies, found that the most investigated problem was mental health (Yin et al., 2019). Relatedly, recent estimates suggest that between 165,000 and 325,000 health and wellness apps are now commercially available, with over 10,000 of those designed specifically for mental health (Carlo et al., 2019). In light of these trends, the present chapter has three aims: (1) provide an informative overview of some of the recent (...) work taking place at the intersection of text mining and mental health so that we can (2) highlight and analyze several pressing ethical issues that are arising in this rapidly growing field and (3) suggest productive directions for how these issues might be better addressed within future interdisciplinary work to ensure the responsible development of text mining approaches in psychology generally, and in mental health fields, specifically. In Section 1, we review some of the recent literature on text-mining and mental health in the contexts of traditional experimental settings, social media, and research involving electronic health records. Then, in Section 2, we introduce and discuss ethical concerns that arise before, during, and after research is conducted. Finally, in Section 3, we offer several suggestions about how ethical oversight of text-mining research might be improved to be more responsive to the concerns mapped out in Section 2. (shrink)

Case reports about patients undergoing Deep Brain Stimulation (DBS) for various motor and psychiatric disorders - including Parkinson’s Disease, Obsessive Compulsive Disorder, and Treatment Resistant Depression - have sparked a vast literature in neuroethics. Questions about whether and how DBS changes the self have been at the fore. The present chapter brings these neuroethical debates into conversation with recent research in moral psychology. We begin in Section 1 by reviewing the recent clinical literature on DBS. In Section 2, we consider (...) whether DBS poses a threat to personal identity. In Section 3 we argue for engagement with recent empirical work examining judgements of when identity changes. We conclude in Section 4 by highlighting a range of ethical issues raised by DBS, including various cross-cultural considerations. (shrink)

Jennifer Nagel (2010) has recently proposed a fascinating account of the decreased tendency to attribute knowledge in conversational contexts in which unrealized possibilities of error have been mentioned. Her account appeals to epistemic egocentrism, or what is sometimes called the curse of knowledge, an egocentric bias to attribute our own mental states to other people (and sometimes our own future and past selves). Our aim in this paper is to investigate the empirical merits of Nagel’s hypothesis about the psychology involved (...) in knowledge attribution. (shrink)

There are two ways of understanding experimental philosophy's process of appealing to intuitions as evidence for or against philosophical claims: the positive and negative programs. This chapter deals with how the positivist method of conceptual analysis is affected by the results of the negative program. It begins by describing direct extramentalism, semantic mentalism, conceptual mentalism, and mechanist mentalism, all of which argue that intuitions are credible sources of evidence and will therefore be shared. The negative program challenges this view by (...) questioning if there can be in fact a shared intuition about a specific hypothetical case, as conflicting intuitions are as likely to arise. The chapter then discusses other issues raised by the negativists such as the limits of surveys and the proper domain problem. (shrink)

The notion of a weakly scattered theory T is defined. T need not be scattered. For each a model of T, let sr() be the Scott rank of . Assume sr() ≤ ω\sp A \sb 1 for all a model of T. Let σ\sp T \sb 2 be the least Σ₂ admissible ordinal relative to T. If T admits effective k-splitting as defined in this paper, then θσ\cal Aθ\cal A$ a model of T.

Many of us are unmoved when it is objected that some morally or intellectually suspect source agrees with our belief. While we may tend to find this kind of guilt by epistemic association unproblematic, I argue that this tendency is a mistake. We sometimes face what I call the problem of unwelcome epistemic company. This is the problem of encountering agreement about the content of your belief from a source whose faults give you reason to worry about the belief's truth, (...) normative status, etiology, or implications. On the basis of an array of cases, I elaborate four distinct kinds of problems that unwelcome epistemic company poses. Two of these are distinctly epistemic, and two are moral. I canvass possible responses, ranging from stubbornness to an epistemic prudishness that avoids unwelcome company at all costs. Finally, I offer preliminary lessons of the problem and distinguish it from the problem of peer disagreement. (shrink)

A singular thought about an object o is one that is directly about o in a characteristic way—grasp of that thought requires having some special epistemic relation to the object o, and the thought is ontologically dependent on o. One account of the nature of singular thought exploits a Russellian Structured Account of Propositions, according to which contents are represented by means of structured n-tuples of objects, properties, and functions. A proposition is singular, according to this framework, if and only (...) if it contains an object as a constituent. One advantage of the framework of Russellian Structured propositions is that it promises to provide a metaphysical basis for the notion of a singular thought about an object, grounding it in terms of constituency. In this paper, we argue that the attempt to ground the peculiar features of singular thoughts in terms of metaphysical constituency fails, and draw some consequences of our discussion for other debates. (shrink)

In this paper, we consider two different attempts to make an end run around the experimentalist challenge to the armchair use of intuitions: one due to Max Deutsch and Herman Cappelen, contending that philosophers do not appeal to intuitions, but rather to arguments, in canonical philosophical texts; the other due to Joshua Knobe, arguing that intuitions are so stable that there is in fact no empirical basis for the experimentalist challenge in the first place. We show that a closer (...) attention to philosophical practices reveal, in turn, that we cannot make sense of these philosophical texts as arguments all the way down; and that our methods are so sensitive to error that even a modest amount of instability is enough to raise deep methodological concerns. (shrink)

This book provides an analytical and critical appraisal of Rousseau's political thought that, while frank about its limits, also explains its enduring power.

Commentary about the role of AI in bioethics for the 10th anniversary issue of AJOB: Empirical Bioethics.

Philosophical discussions often involve appeals to verdicts about particular cases, sometimes actual, more often hypothetical, and usually with little or no substantive argument in their defense. Philosophers — on both sides of debates over the standing of this practice — have often called the basis for such appeals ‘intuitions’. But, what might such ‘intuitions’ be, such that they could legitimately serve these purposes? Answers vary, ranging from ‘thin’ conceptions that identify intuitions as merely instances of some fairly generic and epistemologically (...) uncontroversial category of mental states or episodes to ‘thick’ conceptions that add to this thin base certain semantic, phenomenological, etiological, or methodological conditions. As this chapter discusses, thick conceptions turn out to have their own methodological problems; some may even leave philosophers in the methodologically untenable position of being unable to determine when anyone is doing philosophy correctly. (shrink)

Virtue ethics has been dogged by the objection that it lacks the ability to provide adequate action-guidance, that it is agent-centered rather act-centered. Virtue ethics has also been faulted for devolving into moral cultural relativism. Rosalind Hursthouse has presented an action-based, naturalistic theory of virtue ethics intended to defuse these charges. Despite its merits, I argue that Hurthouse’s theory fails to successfully solve the problems associated with action guidance and relativism precisely because her attempt to provide a non-cultural basis for (...) virtue ethics undermines the possibility of using virtue ethics to derive useful action-guidance. The action-guiding power of virtue is derived from culture; seeking to avoid the cultural grounding of virtue merely brings one back to the problem of how virtue ethics can provide action-guidance. (shrink)

This article aims to provide a consistent explication of the doctrine of Divine Simplicity. To achieve this end, a re-construal of the doctrine is made within an “aspectival trope-theoretic” metaphysical framework, which will ultimately enable the doctrine to be elucidated in a consistent manner, and the Plantingian objections raised against it will be shown to be unproblematic.

This book argues that this powerful technique permits the social sciences to meet an explanation, in which one 'grows' the phenomenon of interest in an artificial society of interacting agents: heterogeneous, boundedly rational actors.

Experimental philosophy has emerged as a very specific kind of response to an equally specific way of thinking about philosophy, one typically associated with philosophical analysis and according to which philosophical claims are measured, at least in part, by our intuitions. Since experimental philosophy has emerged as a response to this way of thinking about philosophy, its philosophical significance depends, in no small part, on how significant the practice of appealing to intuitions is to philosophy. In this paper, I defend (...) the significance of experimental philosophy by defending the significance of intuitions—in particular, by defending their significance from a recent challenge advanced by Timothy Williamson. (shrink)

The burgeoning science of ethics has produced a trend toward pessimism. Ordinary moral thought and action, we’re told, are profoundly influenced by arbitrary factors and ultimately driven by unreasoned feelings. This book counters the current orthodoxy on its own terms by carefully engaging with the empirical literature. The resulting view, optimistic rationalism, shows the pervasive role played by reason, and ultimately defuses sweeping debunking arguments in ethics. The science does suggest that moral knowledge and virtue don’t come easily. However, despite (...) the heavy influence of automatic and unconscious processes that have been shaped by evolutionary pressures, we needn’t reject ordinary moral psychology as fundamentally flawed or in need of serious repair. Reason can be corrupted in ethics just as in other domains, but a special pessimism about morality in particular is unwarranted. Moral judgment and motivation are fundamentally rational enterprises not beholden to the passions. (shrink)

We investigate the value of persons. Our primary goal is to chart a path from equal and extreme value to infinite value. We advance two arguments. Each argument offers a reason to think that equal and extreme value are best accounted for if we are infinitely valuable. We then raise some difficult but fruitful questions about the possible grounds or sources of our infinite value, if we indeed have such value.

In a previous volume of Ethical Theory & Moral Practice, Melis Erdur defends the provocative claim that postulating a stance-independent ground for morality constitutes a substantive moral mistake that is isomorphic to the substantive moral mistake that many realists attribute to antirealists. In this discussion paper I reconstruct Erdur’s argument and raise two objections to the general framework in which it arises. I close by explaining why rejecting Erdur’s approach doesn’t preclude normative criticism of metaethical theories.

An influential objection to the epistemic power of the imagination holds that it is uninformative. You cannot get more out of the imagination than you put into it, and therefore learning from the imagination is impossible. This paper argues, against this view, that the imagination is robustly informative. Moreover, it defends a novel account of how the imagination informs, according to which the imagination is informative in virtue of its analog representational format. The core idea is that analog representations represent (...) relations ‘for free,’ and this explains how the imagination can contain more information than is put into it. This account makes important contributions to both philosophy of mind, by showing how the imagination can generate new content that is not represented by a subject’s antecedent mental states, and epistemology, by showing how the imagination can generate new justification that is not conferred by a subject’s antecedent evidence. (shrink)

In defending his interest-relative account of knowledge in Knowledge and Practical Interests (2005), Jason Stanley relies heavily on intuitions about several bank cases. We experimentally test the empirical claims that Stanley seems to make concerning our common-sense intuitions about these bank cases. Additionally, we test the empirical claims that Jonathan Schaffer seems to make in his critique of Stanley. We argue that our data impugn what both Stanley and Schaffer claim our intuitions about such cases are. To account for these (...) results, one must develop a better conception of the connection between a subject's interests and her body of knowledge than those offered by Stanley and Schaffer. (shrink)