The study of biological invasions raises troubling scientific, political and moral issues that merit discussion and debate on a broad scale. Nativist trends in Conservation Biology have made environmentalists biased against alien species. This bias is scientifically questionable, and may have roots in xenophobic and racist attitudes. Rethinking conservationists' conceptions of biological invasion is essential to the development of a progressive environmental science, politics, and philosophy.

Competition between scientific hypotheses is not always a matter of mutual exclusivity. Consistent hypotheses can compete to varying degrees either directly or indirectly via a body of evidence. We motivate and defend a particular account of hypothesis competition by showing how it captures these features. Computer simulations of Bayesian inference are used to highlight the limitations of adopting mutual exclusivity as a simplifying assumption to model scientific reasoning, particularly due to the exclusion of hypotheses that may be true. We end (...) with a case study demonstrating the subtleties involved in hypothesis competition in scientific practice. (shrink)

Philosophers and psychologists are increasingly investigating the conditions under which multiple explanations are better in conjunction than they are individually. This book brings together leading scholars to provide an interdisciplinary and unified discussion of such "conjunctive explanations." The book starts with an introductory chapter expounding the notion of conjunctive explanation and motivating a multifaceted approach to its study. The remaining chapters are divided into three parts. Part I includes chapters on "The Nature of Conjunctive Explanations." Each chapter illustrates distinct ways (...) in which explanatory multiplicity is motivated by a careful study of the nature and concept of explanation. The second part ("Reasoning about Conjunctive Explanations") includes chapters on the epistemology and logic of conjunctive explanations. Here the contributors propose and evaluate various norms for reasoning correctly about and to conjunctive explanations. Part III concerns "The Psychology of Conjunctive Explanations," with contributions discussing conditions under which humans entertain and hold multiple explanations of single explananda simultaneously and the cognitive limitations and capacities for doing so. Conjunctive Explanations will be of interest to researchers and advanced students working on explanation in philosophy of science, epistemology, philosophical logic, and cognitive psychology. (shrink)

A number of arguments purport to show that quantum field theory cannot be given an interpretation in terms of localizable particles. We show, in light of such arguments, that the classical ħ→0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbar \rightarrow 0$$\end{document} limit can aid our understanding of the particle content of quantum field theories. In particular, we demonstrate that for the massive Klein–Gordon field, the classical limits of number operators can be understood to encode local information about particles (...) in the corresponding classical field theory. (shrink)

This chapter develops and defends a formal epistemology of conjunctive explanation by determining the conditions under which multiple distinct explanations are better than one. The general approach is to identify an appropriate measure of explanatory goodness that can then be applied to conjunctive explanations. If a conjunctive explanation is to be preferred it needs to have greater explanatory virtue (e.g., power or scope) with respect to the evidence, but this explanatory gain is insufficient on its own. Given a conjunctive explanation’s (...) greater complexity, it also has a cost associated with it and so a balance needs to be struck between the gain and the cost. This is achieved by employing a Bayesian measure proposed by I. J. Good. This chapter explores some properties of this measure and its application to the epistemology of conjunctive explanation. In so doing, it addresses the general question of whether it is desirable to have more informative, less probable hypotheses when seeking good explanations. (shrink)

Crupi et al. (2008) offer a confirmation-theoretic, Bayesian account of the conjunction fallacy—an error in reasoning that occurs when subjects judge that Pr( h 1 & h 2 | e ) > Pr( h 1 | e ). They introduce three formal conditions that are satisfied by classical conjunction fallacy cases, and they show that these same conditions imply that h 1 & h 2 is confirmed by e to a greater extent than is h 1 alone. Consequently, they suggest (...) that people are tracking this confirmation relation when they commit conjunction fallacies. I offer three experiments testing the merits of Crupi et al.’s account specifically and confirmation-theoretic accounts of the conjunction fallacy more generally. The results of Experiment 1 show that, although Crupi et al.’s conditions do seem to be causally linked to the conjunction fallacy, they are not necessary for it; there exist cases that do not meet their three conditions in which subjects still tend to commit the fallacy. The results of Experiments 2 and 3 show that Crupi et al.’s conditions, and those offered by other confirmation-theoretic accounts of the fallacy, are not sufficient for the fallacy either; there exist cases that meet all three of CFT’s conditions in which subjects do not tend to commit the fallacy. Additionally, these latter experiments show that such confirmation-theoretic conditions are at best only weakly causally relevant to the presence of the conjunction fallacy. Given these findings, CFT’s account specifically, and any general confirmation-theoretic account more broadly, falls short of offering a satisfying explanation of the presence of the conjunction fallacy. (shrink)

I show that the two most devastating objections to Shogenji's formal account of coherence necessarily involve information sets of cardinality . Given this, I surmise that the problem with Shogenji's measure has more to do with his means of generalizing the measure than with the measure itself. I defend this claim by offering an alternative generalization of Shogenji's measure. This alternative retains the intuitive merits of the original measure while avoiding both of the relevant problems that befall it. In the (...) light of all of this, I suggest that there is new hope for Shogenji's analysis: Shogenji's early and influential attempt at measuring coherence, when generalized in a subset-sensitive way, is able to clear its most troubling objections. (shrink)

In this paper I aim to defend David Rosenthal's higher-order thought theory of consciousness against a prominent objection. The central claim of HOT theory is that a mental state is conscious only if one has the HOT that one is in that state. In broad outline, the objection is that HOT theory is unable to account for cases where the relevant HOTs are false. I consider two variants of the objection, corresponding to two kinds of false HOT: those that merely (...) misrepresent their targets, and those which lack targets altogether. I argue that a satisfactory response to the objection involving the latter, targetless, kind of HOTs, is to deny that one is in any conscious state in virtue of such HOTs. I show how this response is superior to Rosenthal's own response, and defend it against objections. I also argue that my account of targetless HOT cases may be generalized to cover cases of misrepresenting HOTs. (shrink)

Until recently, scholars paid relatively little attention to chapter 23 of Leviathan, in which Hobbes discussed “the public ministers of sovereign power.” In the past few years, however, political theorists have used chapter 23 extensively in discussions of Hobbes’ concept of the state. But what was the significance of the chapter in its own time? This article suggests it served two purposes. First, it allowed Hobbes to bolster and elaborate arguments made elsewhere in Leviathan. Second, it responded to 1640s debates (...) between royalists and parliamentarians over the role of subordinate magistrates in a polity. By the time Leviathan was published in 1651 these debates were no longer pressing, which explains the chapter’s rapid descent into obscurity. Nonetheless, recovering this polemical context helps to understand the genesis of this small but significant part of Hobbes’ political thought. (shrink)

When scientists seek further confirmation of their results, they often attempt to duplicate the results using diverse means. To the extent that they are successful in doing so, their results are said to be robust. This paper investigates the logic of such "robustness analysis" [RA]. The most important and challenging question an account of RA can answer is what sense of evidential diversity is involved in RAs. I argue that prevailing formal explications of such diversity are unsatisfactory. I propose a (...) unified, explanatory account of diversity in RAs. The resulting account is, I argue, truer to actual cases of RA in science; moreover, this account affords us a helpful, new foothold on the logic undergirding RAs. (shrink)

This article introduces and defends a probabilistic measure of the explanatory power that a particular explanans has over its explanandum. To this end, we propose several intuitive, formal conditions of adequacy for an account of explanatory power. Then, we show that these conditions are uniquely satisfied by one particular probabilistic function. We proceed to strengthen the case for this measure of explanatory power by proving several theorems, all of which show that this measure neatly corresponds to our explanatory intuitions. Finally, (...) we briefly describe some promising future projects inspired by our account. (shrink)

We investigate 1 factor that influences the success of ideas or cultural representations by proposing that they have a habitat, that is, a set of environmental cues that encourages people to recall and transmit them. We test 2 hypotheses: (a) fluctuation: the success of an idea will vary over time with fluctuations in its habitat, and (b) competition: ideas with more prevalent habitats will be more successful. Four studies use subject ratings and data from newspapers to provide correlational support for (...) our 2 hypotheses, with a negative factoid, positive rumor, catchphrases, and variants of a proverb. Three additional experimental studies manipulate the topic of actual conversations and find empirical support for our theory, with catchphrases, proverbs, and slang. The discussion examines how habitat prevalence applies to a more extensive class of ideas and suggests how habitats may influence the process by which ideas evolve. (shrink)

Two recently popular metaphilosophical movements, formal philosophy and experimental philosophy, promote what seem to be conflicting methodologies. Nonetheless, I argue that the two can be mutually supportive. I propose an experimentally-informed variation on explication, a powerful formal philosophical tool introduced by Carnap. The resulting method, which I call “experimental explication,” provides the formalist with a means of responding to explication's gravest criticism. Moreover, this method introduces a philosophically salient, positive role for survey-style experiments while steering clear of several objections that (...) critics of “positive experimental philosophy” raise. Thus, it provides the experimentalist with a more defensible example of how empirical work can have positive philosophical import. For these reasons, experimental explication should appeal to experimental philosophers and formal philosophers alike. (shrink)

In robustness analysis, hypotheses are supported to the extent that a result proves robust, and a result is robust to the extent that we detect it in diverse ways. But what precise sense of diversity is at work here? In this paper, I show that the formal explications of evidential diversity most often appealed to in work on robustness – which all draw in one way or another on probabilistic independence – fail to shed light on the notion of diversity (...) relevant to robustness analysis. I close by briefly outlining a promising alternative approach inspired by Horwich’s (1982) eliminative account of evidential diversity. (shrink)

This paper reviews evidence concerning the nature of grouping in music and language and their interactions with other linguistic and musical systems. I present brief typological surveys of the relationship between constituency and acoustic parameters in language and music, drawing from a wide variety of languages and musical genres. The two domains both involve correspondence between auditory discontinuities and group boundaries, reflecting the Gestalt principles of proximity and similarity, as well as a nested, hierarchical organization of constituents. Typically, computational-level theories (...) of musical grouping take the form of a function from acoustic properties through grouping representations to syntactic or interpretive constituents. Linguistic theories tend to be cast as functions in the opposite direction. This study argues that the difference in orientation is not grounded in principled differences in information flow between the two domains, and that reconceptualizing one or both theories allows for gains in analytical understanding. There are also obvious differences between musical and linguistic grouping. Grappling with those differences requires one to think in detail about modularity, information flow, levels of description, and the functional nature of cognitive domains. (shrink)

This book explores the Bayesian approach to the logic and epistemology of scientific reasoning. Section 1 introduces the probability calculus as an appealing generalization of classical logic for uncertain reasoning. Section 2 explores some of the vast terrain of Bayesian epistemology. Three epistemological postulates suggested by Thomas Bayes in his seminal work guide the exploration. This section discusses modern developments and defenses of these postulates as well as some important criticisms and complications that lie in wait for the Bayesian epistemologist. (...) Section 3 applies the formal tools and principles of the first two sections to a handful of topics in the epistemology of scientific reasoning: confirmation, explanatory reasoning, evidential diversity and robustness analysis, hypothesis competition, and Ockham's Razor. (shrink)

Options are often presented incidentally in a sequence, but does serial position impact choice after delay, and if so, how? We address this question in a consequential real-world choice domain. Using 25 years of citation data, and a unique identification strategy, we examine the relationship between article order and citation count. Results indicate that mere serial position affects the prominence that research achieves: Earlier-listed articles receive more citations. Furthermore, our identification strategy allows us to cast doubt on alternative explanations and (...) instead indicate that the effect is driven by psychological processes of attention and memory. These findings deepen the understanding of how presentation order impacts choice, suggest that subtle presentation factors can bias an important scientific metric, and shed light on how psychological processes shape collective outcomes. (shrink)

There is an ongoing controversy in philosophy about the connection between explanation and inference. According to Bayesians, explanatory considerations should be given weight in determining which inferences to make, if at all, only insofar as doing so is compatible with Strict Conditionalization. Explanationists, on the other hand, hold that explanatory considerations can be relevant to the question of how much confidence to invest in our hypotheses in ways which violate Strict Conditionalization. The controversy has focused on normative issues. This paper (...) investigates experimentally the descriptive question of whether judgments of the explanatory goodness of hypotheses do play a role when people revise their degrees of belief in those hypotheses upon the receipt of new evidence. We present the results of three experiments that together strongly support the predictive superiority of the explanationist position. (shrink)

At the center of the debate between contextualist versus relativist semantics for epistemic modal claims is an empirical question about when competent subjects judge epistemic modal disagreement to be present. John MacFarlane’s relativist claims that we judge there to be epistemic modal disagreement across the widest range of cases. We wish to dispute the robustness of his data with the results of two studies. Our primary conclusion is that the actual disagreement data is not consistent with relativist predictions, and so, (...) that the primary motivation for relativism disappears. Our study differs from a related study by Knobe and Yalcin :1–21, 2014) in that we focus directly on the question of genuine disagreement, as opposed to a question about truth or the appropriateness of retraction. Some of our findings agree with theirs about relativism. We uncover new lessons along the way, including that there are widespread situation effects of epistemic modal discourse; idiosyncratic features of the vignettes significantly influencing judgments about epistemic modal disagreement. We reflect with mixed feelings on the prospects for contextualism to accommodate our findings. (shrink)

Beʼurim ṿe-heʻarot she-nikhtevu be-tsamud le-divre rabenu -- Miluʼim - beʼurim be-kamah ʻinyanim be-divre rabenu be-harḥavah.

Language does not make use of octave-based pitch-collections (scales); music lacks truth-conditional semantics; everyone can talk but not everyone can carry a tune; etc. (Jackendoff 2009).

Individuals with high self-concept will likely have high life satisfaction, they easily get adjusted to life, and they communicate their feeling more appropriately. However, it was not certain whether self-concept would decline or improve as individuals age, or whether self-concept would vary between genders and ethnic groups. To prove, a study was carried out to compare the self-concept of college students in an Asian context. The inquiry utilized the cross-sectional design in finding out significant differences in the self-concept of participants (...) in terms of age, gender, and ethnicity. A 22-item questionnaire was adapted and administered to 222 Bachelor of Public Administration and Bachelor of Science in Business Administration students from the satellite campus of Bukidnon State University in the Philippines. Initially, a sample was randomly drawn from the population. During the actual data collection, the researchers had difficulty getting the responses from the randomly selected individuals due to internet connection and it was done amidst a pandemic. Instead, it took all responses from those who were available, have access to the internet, and could accomplish the google forms. The data were analyzed using Mean, Standard Deviation, T-test for independent sample, ANOVA and Post Hoc test. The results revealed that college students at the locale have a high level of self-concept in self-fulfilment, emotional adjustment, and honesty. Yet, they only had a moderate level of self-concept in autonomy. Further, there were significant differences in college students’ autonomy and honesty in terms of age and gender. Furthermore, there were significant differences in their emotional adjustment and self-fulfilment as to their ethnicity. The results have implications for instruction, administration, guidance services, and future research. (shrink)

This paper responds to Terry Horgan’s recent critique of Bayesian formal epistemology. I argue that each of Horgan’s criticisms misses its mark when Bayesianism is viewed as putting forward an inductive logic of confidences. Along the way, I explore the nature, scope, and limits of a defensible brand of Bayesianism.

Despite decades of focused philosophical investigation, Inference to the Best Explanation still lacks a precise articulation and compelling defense. The primary reason for this is that it is not at all clear what it means for a hypothesis to be the best available explanation of the evidence. This paper first seeks to rectify this problem by developing a formal explication of the explanatory virtue of power. A resulting account of IBE is then evaluated as a form of uncertain inference. Overall, (...) this paper offers a precise account and novel defense of one important version of IBE. (shrink)

Recently, in attempting to account for explanatory reasoning in probabilistic terms, Bayesians have proposed several measures of the degree to which a hypothesis explains a given set of facts. These candidate measures of "explanatory power" are shown to have interesting normative interpretations and consequences. What has not yet been investigated, however, is whether any of these measures are also descriptive of people’s actual explanatory judgments. Here, I present my own experimental work investigating this question. I argue that one measure in (...) particular is an accurate descriptor of explanatory judgments. Then, I discuss some interesting implications of this result for both the epistemology and the psychology of explanatory reasoning. (shrink)

This review article gives an overview of the two most influential definitions of antisemit­ism in Europe: the non-legally binding working definition by the International Holocaust Remembrance Alliance (IHRA) and the so-called Jerusalem Declaration on Antisemitism. Furthermore, the article explains where the definitions come from and summarises the current debates and discourses on how to define antisemitism in view of the history and politics of Europe. It also gives brief attention to the Nexus Document as a third influential definition, which plays (...) a more important role in the United States. The article ends with a reflection on the definition offered by the historian Helen Fein, which is more action-based, and Amos Morris-Reich’s statement of the importance of reflecting on the role of language and the ability of language to create hate and to hurt. (shrink)

In this paper, I argue that van Fraassen's "bad lot objection" against Inference to the Best Explanation [IBE] severely misses its mark. First, I show that the objection holds no special relevance to IBE; if the bad lot objection poses a serious problem for IBE, then it poses a serious problem for any inference form whatever. Second, I argue that, thankfully, it does not pose a serious threat to any inference form. Rather, the objection misguidedly blames a form of inference (...) for not achieving what it never set out to achieve in the first place. (shrink)

In this issue of American Journal of Bioethics, Childress et al. address one of the most challenging modern clinical ethical dilemmas: the awake, competent patient dependent on extracorporeal membr...

In three recent papers, Wayne Myrvold and Timothy McGrew have developed Bayesian accounts of the virtue of unification. In his account, McGrew demonstrates that, ceteris paribus, a hypothesis that unifies its evidence will have a higher posterior probability than a hypothesis that does not. Myrvold, on the other hand, offers a specific measure of unification that can be applied to individual hypotheses. He argues that one must account for this measure in order to calculate correctly the degree of confirmation that (...) a hypothesis receives from its evidence. Using the probability calculus, I prove that the two accounts of unification require the same underlying inequality; thus, McGrew and Myrvold have accounted for unification in fundamentally identical probabilistic terms. I then evaluate five putative counterexamples to this account and show that these examples, far from disqualifying it, serve to clarify our notion of unification by disentangling it from a host of other concepts. (shrink)

Human reasoning often involves explanation. In everyday affairs, people reason to hypotheses based on the explanatory power these hypotheses afford; I might, for example, surmise that my toddler has been playing in my office because I judge that this hypothesis delivers a good explanation of the disarranged state of the books on my shelves. But such explanatory reasoning also has relevance far beyond the commonplace. Indeed, explanatory reasoning plays an important role in such varied fields as the sciences, philosophy, theology, (...) medicine, forensics, and law. -/- This dissertation provides an extended study into the logic of explanatory reasoning via two general questions. First, I approach the question of what exactly we have in mind when we make judgments pertaining to the explanatory power that a hypothesis has over some evidence. This question is important to this study because these are the sorts of judgments that we constantly rely on when we use explanations to reason about the world. Ultimately, I introduce and defend an explication of the concept of explanatory power in the form of a probabilistic measure. This formal explication allows us to articulate precisely some of the various ways in which we might reason explanatorily. -/- The second question this dissertation examines is whether explanatory reasoning constitutes an epistemically respectable means of gaining knowledge. I defend the following ideas: The probability theory can be used to describe the logic of explanatory reasoning, the normative standard to which such reasoning attains. Explanatory judgments, on the other hand, constitute heuristics that allow us to approximate reasoning in accordance with this logical standard while staying within our human bounds. The most well known model of explanatory reasoning, Inference to the Best Explanation, describes a cogent, nondeductive inference form. And reasoning by Inference to the Best Explanation approximates reasoning directly via the probability theory in the real world. Finally, I respond to some possible objections to my work, and then to some more general, classic criticisms of Inference to the Best Explanation. In the end, this dissertation puts forward a clearer articulation and novel defense of explanatory reasoning. (shrink)

In “The Contralife Argument and the Principle of Double Effect” (NCBQ, Spring 2011), Lawrence Masek tries to use the principle of double effect to show that natural family planning (NFP) is morally justified. This essay presents a summary explanation of the principle of double effect. It demonstrates that Masek wrongly applies the principle of double effect to NFP. It presents the teaching of the 1968 papal encyclical Humanae vitae with regard to NFP, and contends that to apply the principle of (...) double effect to the case of NFP is not only incorrect but also contrary to teaching of Humanae vitae. Because Masek implies that NFP involves the (justified) permission of evil, his article also counteracts the efforts of the Catholic Church to promote the practice of NFP. National Catholic Bioethics Quarterly 11.4 (Winter 2011): 661–667. (shrink)

The success of Bovens and Hartmann’s recent “impossibility result” against Bayesian Coherentism relies upon the adoption of a specific set of ceteris paribus conditions. In this paper, I argue that these conditions are not clearly appropriate; certain proposed coherence measures motivate different such conditions and also call for the rejection of at least one of Bovens and Hartmann’s conditions. I show that there exist sets of intuitively plausible ceteris paribus conditions that allow one to sidestep the impossibility result. This shifts (...) the debate from the merits of the impossibility result itself to the underlying choice of ceteris paribus conditions. (shrink)

Five countries now permit organ donation after euthanasia, on the basis of respecting donor autonomy. Some now openly consider performing euthanasia itself via organ extraction to better preserve organ viability, albeit in violation of the dead donor rule. Proponents argue that respect for patient autonomy requires this option; the dead donor rule is inapplicable since it fulfills donors’ wishes. Other ethical arguments, not addressed herein, explore issues including dying at home, impact on clinicians, and societal faith in donation enterprise, but (...) these concerns are not insurmountable. This paper instead solely critiques proponents’ oversimplified understanding of autonomy with an autonomy‐based argument against any linkage of organ donation and euthanasia, regardless of its timing. Respect for patient autonomy does not unilaterally require fulfilling patients' every wish. Moreover, the very possibility of organ donation with euthanasia limits donor autonomy qualitatively and quantitatively substantially more than by offering it. In fact, organ donation after euthanasia violates the purpose of the dead donor rule, even if not its technicalities. (shrink)

Les sociétés contemporaines entretiennent un rapport ambivalent au risque : elles sont promptes à s’alarmer pour des risques collectifs, tout en valorisant les prises de risque individuelles. Cet article s’attache à resituer les interprétations sociologiques de ces prises de risque délibérées, en particulier celles de Lyng et Le Breton, dans le cadre de la société du risque décrite par Beck et Giddens. Les prises de risque apparaissent alors comme la réaction à un environnement devenu très incertain et anxiogène. Ce cadre (...) interprétatif invite aussi à nuancer l’opposition entre prises de risque adultes et adolescentes. Si les premières se concrétisent plus souvent dans la pratique d’un sport extrême, tandis que les secondes s’avèrent plus transgressives, il est possible que ce contraste traduise surtout des moyens matériels différenciés. Les données quantitatives du Baromètre Santé 2000 permettent enfin de tester empiriquement quelques hypothèses relatives à ces interprétations.Risk has an ambivalent status in contemporary societies : great fears of collective risks coexist with an increasing taste for individual risk-taking. This article aims at reframing Lyng and Le Breton’s sociological interpretations of voluntary risk-taking in a broader scope, derived from the « risk society » described by Beck and Giddens. From this viewpoint, such behaviours are individual responses to an environment in which uncertainty is causing anxiety, and adolescent risky behaviours are not so different from those of adults. If adolescents are more prone to take risks in illegal ways, it can result from a restricted access to expensive extreme sports. Using quantitative data from the French survey Baromètre Santé 2000, the article ends with an empirical test of some hypotheses deriving from these interpretations. (shrink)

There has been a probabilistic turn in contemporary cognitive science. Far and away, most of the work in this vein is Bayesian, at least in name. Coinciding with this development, philosophers have increasingly promoted Bayesianism as the best normative account of how humans ought to reason. In this paper, we make a push for exploring the probabilistic terrain outside of Bayesianism. Non-Bayesian, but still probabilistic, theories provide plausible competitors both to descriptive and normative Bayesian accounts. We argue for this general (...) idea via recent work on explanationist models of updating, which are fundamentally probabilistic but assign a substantial, non-Bayesian role to explanatory considerations. (shrink)

Crupi and Tentori (2012) propose a condition of adequacy for any Bayesian measure of explanatory power, which they call Explanatory Justice. They criticize a measure recently defended by Schupbach and Sprenger(2011) for failing to satisfy this condition, and they offer a new explanatorily just measure of explanatory power. In this paper, we investigate Explanatory Justice’s merits as a condition of adequacy. We offer three arguments against this condition, thus supporitng the idea that a measure of explanatory power should rather be (...) unjust. Then, in order to ensure that the debate advances beyond a mere battle of intuitions, we offer some new results derived from the empirical study described in (Schupbach, 2011a). All of this strengthens the case for Schupbach and Sprenger’s measure while simultaneously posing new challenges to Crupi and Tentori’s alternative proposal. (shrink)