Goodstein’s principle is arguably the first purely number-theoretic statement known to be independent of Peano arithmetic. It involves sequences of natural numbers which at first appear to diverge, but eventually decrease to zero. These sequences are defined relative to a notation system based on exponentiation for the natural numbers. In this article, we provide a self-contained and modern analysis of Goodstein’s principle, obtaining some variations and improvements. We explore notions of optimality for notation systems and apply them to (...) the classical Goodstein process and to a weaker variant based on multiplication rather than exponentiation. In particular, we introduce the notion of base-change maximality, and show how it leads to far-reaching extensions of Goodstein’s result. We moreover show that by varying the initial base of the Goodstein process, one readily obtains independence results for each of the fragments $\mathsf {I}\Sigma _n$ of Peano arithmetic. (shrink)

Fraud from the frontlines: the importance of being nice Content Type Journal Article DOI 10.1007/s11016-010-9492-2 Authors Heather Douglas, Department of Philosophy, University of Tennessee at Knoxville, 815 McClung Tower, Knoxville, TN 37996-0480, USA Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

What is the love of truth?To date, scholarship on "post-truth" concentrates on truth's status as a philosophical concept and as a touchstone of political culture in the twenty-first century. In this scholarship, post-truth has become a way of synthesizing the antecedents of President Donald J. Trump's election and a banner under which public reason stages its dramatic last stand. Writing for Philosophy & Rhetoric in the immediate aftermath of Trump's election, for instance, Elizabeth S. Goodstein observes "a sea change (...) is under way in how we understand and value truth". Similarly, Steve Fuller retroactively characterizes both Plato and the Sophists as "post-truth thinkers, concerned more with the mix of... (shrink)

This paper is on the metaphysics and normativity of Jewish identity. It starts with a metaphysical question: “Can a Jewish person become non-Jewish?” This question and the related question “What is Jewishness?” are both ambiguous, because the word “Jewish” is ambiguous. The paper outlines five concepts of Jewishness: halachic, religious, ethnic, and cultural Jewishness, as well as being Jewish in the sense of belonging to the Jewish community. In some of these senses of “Jewish” a Jewish person is always Jewish. (...) In other senses a Jewish person can become non-Jewish. The paper closes with a normative question: Should a person who is Jewish, in the sense of belonging to the Jewish community, become non-Jewish? The paper explains reasons for and against staying in the Jewish community and in doing so highlights a tension, rather than telling anyone how they should identify. (shrink)

El presente artículo recuerda momentos cruciales de una historia del sujeto que va de Jacques Lacan a Alain Badiou. Tras la división y la subversión lacaniana del sujeto, se revisan reacciones que intentan revertirla en varios autores. Estas reacciones se contrastan con la idea badiouana de la escisión del sujeto entre el esplacio y el fuera-de-lugar. La absolutización estructuralista del esplacio estructural se ilustra con la acción de la estructura de Jacques-Alain Miller, se aproxima al argumento de las estructuras que (...) descienden a la calle con el que Lacan defendió la posición estructuralista contra Lucien Goldmann y se explica por la forclusión del sujeto en el estructuralismo, en el sistema capitalista y en la ciencia en general. Con respecto al campo científico, se muestra cómo fue definido primero por la forclusión y luego por la suturación del sujeto en Miller, simultáneamente por la forclusión y la suturación en Lacan, y sólo por la forclusión en Badiou, quien empezará negando y terminará aceptando la existencia de un sujeto de la ciencia, pero diferente del de Lacan y Miller. (shrink)

Many philosophers think all abstract objects are causally inert. Here, focusing on novels, I argue that some abstracta are causally efficacious. First, I defend a straightforward argument for this view. Second, I outline an account of object causation—an account of how objects cause effects. This account further supports the view that some abstracta are causally efficacious.

We apply a familiar distinction from philosophy of language to a class of material artifacts that are sometimes said to “speak”: statues. By distinguishing how statues speak at the locutionary level versus at the illocutionary level, or what they say versus what they do, we obtain the resource for addressing two topics. First, we can explain what makes statues distinct from street art. Second, we can explain why it is mistaken to criticize—or to defend—the continuing presence of statues based only (...) on what they represent. Both explanations are driven by the same core idea: the significance of statues arises primarily from what they do, and not what they say. (shrink)

Understanding Animal Welfare, 2nd Edition is revised and expanded to incorporate new research and developments in animal welfare. Updated with greater accessibility in mind, the reader is guided through animal welfare in its cultural and historical context, methods of study, and applications in practice and policy. Drawing examples from farm, companion, laboratory and zoo animals, the text provides an up-to-date overview of research and its applications, while also tracing how concepts and methods have evolved over time. Originally intended for scientists (...) and professionals, Understanding Animal Welfare has also found a home in undergraduate classrooms. It is now the essential text for students, practitioners, veterinarians, and researchers in animal welfare and related fields. (shrink)

Capitalism is the best. It's free enterprise. Barter. Gimbels, if I get really rank with the clerk, 'Well I don't like this', how I can resolve it? If it really gets ridiculous, I go, 'Frig it, man, I walk.' What can this guy do at Gimbels, even if he was the president of Gimbels? He can always reject me from that store, but I can always go to Macy's. He can't really hurt me. Communism is like one big phone company. (...) Government control, man. And if I get too rank with that phone company, where can I go? I'll end up like a schmuck with a dixie cup on a thread. (shrink)

Abstract creationism about fictional characters is the view that fictional characters are abstract objects that authors create. I defend this view against criticisms from Stuart Brock that hitherto have not been adequately countered. The discussion sheds light on how the number of fictional characters depends on authorial intention. I conclude also that we should change how we think intentions are connected to artifacts more generally, both abstract and concrete.

La cultura contemporánea y el contexto marcado por conflictos en el que residimos actualmente exigen el perdón. Especialmente, porque representa el camino a través del cual el ser humano lucha contra el mal. Sin embargo, el perdón se ha erosionado debido a los malentendidos asociados con su aplicación en la psicología y la vida pública. En este sentido, este artículo busca proporcionar una definición del perdón desde su carácter interpersonal. En otras palabras, en este trabajo afirmamos que es en los (...) encuentros cara a cara donde las personas enfrentan el mal, manifiestan su condición de personas y también la esfera de gratuidad a la que responde su realidad más íntima. Así, comenzaremos con la definición común del perdón y examinaremos cada uno de sus elementos constituyentes para presentar una configuración lo más completa posible de su realidad. Esta configuración servirá como un arquetipo para distinguir el perdón de la aceptación de sí, la liberación de sí y la reconciliación. Estas distinciones proponen la idea de que el perdón surge genuinamente de las relaciones interpersonales, allí donde un individuo pide el don de la liberación del mal cometido y otro lo concede libremente. (shrink)

This book stems from an examination of how Western philosophy has accounted for the foundations of law. In this tradition, the character of the “sovereign” or “lawgiver” has provided the solution to this problem. But how does the sovereign acquire the right to found law? As soon as we ask this question we are immediately confronted with a convoluted combination of jurisprudence and theology. The author begins by tracing a lengthy and deeply nuanced exchange between Derrida and Nancy on the (...) question of community and fraternity and then moves on to engage with a diverse set of texts from the Marquis de Sade, Saint Augustine, Kant, Hegel, and Kafka. These texts—which range from the canonical to the apocryphal—all struggle in their own manner with the question of the foundations of law. Each offers a path to the law. If a reader accepts any path as it is and follows without question, the law is set and determined and the possibility of dialogue is closed. The aim of this book is to approach the foundations of law from a series of different angles so that we can begin to see that those foundations are always in question and open to the possibility of dialogue. (shrink)

I explain a tension between musical creationism (the view that musical works are abstract artifacts) and the view that there is no vague existence. I then suggest ways to reconcile these views. My central conclusion is that, although some versions of musical creationism imply vague existence, others do not. I discuss versions of musical creationism held by Jerrold Levinson, Simon Evnine, and Kit Fine. I also present two new versions. I close by considering whether the tension is merely an instance (...) of a general problem raised by artifacts, both abstract and concrete. I argue that on at least one defensible account of music the tension is especially problematic for abstracta. I focus on musical works, but much of the paper straightforwardly applies to other kinds of abstract artifacts. (shrink)

Victor and Cullen (1987, 1988) developed a typology of ethical climates based upon the level of moral development of the work group (egoism, benevolence and principled a la Kohlberg, 1981) and the locus of analysis utilized in reaching decisions (individual, local, cosmopolitan). Building on this typology, data were obtained from a high technology company for the purpose of empirically extending the examination of the number of ethical climates that exist and portraying the relationship between ethical climates and the ethical dimension (...) of decisions.When faced with decisions posing various types of ethical dilemmas, most respondents indicated they would take the ethical path. The one exception involved bribery where respondents were about equally likely to make or withhold payment. One climate guided by laws/professional codes accounted for over half of the respondents. Several climates accounted for less than ten percent of the respondents. (shrink)

The ethical behavior of marketing managers was examined by analyzing their responses to a series of different types of ethical dilemmas presented in vignette form. The ethical dilemmas addressed dealt with the issues of (1) coercion and control, (2) conflict of interest, (3) the physical environment, (4) paternalism, and (5) personal integrity. Responses were analyzed to discover whether managers' behavior varied by type of issue faced or whether there is some continuity to ethical behavior which transcends the type of ethical (...) problem addressed. (shrink)

A model is presented which describes the process decision-makers follow when faced with problems containing ethical dimensions. The model, based upon the empirical literature, is designed to provide guidance to researchers studying ethical behavior in business. The model portrays the decision-maker with a set of personal values which are mediated by elements of the organization's culture. The combination of personal values and organizational influences yields decisions which may be significantly different from those made based upon personal values alone. Inclusion of (...) the personal values of the decision-maker as the dominant individual input and an explicit discussion of the ethical decision process make this model more comprehensive than other recent ethics models. (shrink)

Beach's Gaelic Symphony is plausibly an abstract object that Beach created. The view that people create some abstract objects is called abstract creationism. There are abstract creationists about many kinds of objects, including musical works, fictional characters, arguments, words, internet memes, installation artworks, bitcoins, and restaurants. Alternative theories include materialism and Platonism. This paper discusses some of the most serious objections against abstract creationism. Arguably, these objections have ramifications for questions in metaphysics pertaining to the abstract/concrete distinction, time, causation, vague (...) existence, vague identity, and inadvertent creation. (shrink)

Environmental health research produces scientific knowledge about environmental hazards crucial for public health and environmental justice movements that seek to prevent or reduce exposure to these hazards. The environment in environmental health research is conceptualized as the range of possible social, biological, chemical, and/or physical hazards or risks to human health, some of which merit study due to factors such as their probability and severity, the feasibility of their remediation, and injustice in their distribution. This paper explores the ethics of (...) identifying the relevant environment for environmental health research, as judgments involved in defining an environmental hazard or risk, judgments of that hazard or risk's probability, severity, and/ or injustice, as well as the feasibility of its remediation, all ought to appeal to non-epistemic as well as epistemic values. I illustrate by discussing the case of environmental lead, a housing-related hazard that remains unjustly distributed by race and class and is particularly dangerous to children. Examining a controversy in environmental health research ethics where researchers tested multiple levels of lead abatement in lead-contaminated households, I argue that the broader perspective on the ethics of environmental health research provided in the first part of this paper may have helped prevent this controversy. (shrink)

Since the early 1980s, James Bernat’s scholarship has accompanied and shaped most scientific and policy developments on death determination. In 1981, he, Charles Culver, and Bernard Gert provided a...

The question of how people change artworks is important for the metaphysics of art. It’s relatively easy for anyone to change a painting or sculpture, but who may change a literary or musical work is restricted and varies with context. Authors of novels and composers of symphonies often have a special power to change their artworks. Mary Shelley revised Frankenstein, and Tchaikovsky revised his Second Symphony. I cannot change these artworks. In other cases, such as those involving jazz standards and (...) folk songs, performers and ordinary folks have more power to change artworks. My preferred explanation of these facts is the created-abstract-simples view, according to which literary and musical works, unlike paintings and sculptures, are created abstract objects that have no parts. On this view, the way to change a literary or musical work is for an individual, empowered by social practices, to change rules about how a literary work should be published or a musical work should be performed. A. R. J. Fisher and Caterina Moruzzi object that the created-abstract-simples view doesn’t allow for literary and musical works to genuinely change, and Nemesio Garcia-Carríl Puy objects that the view doesn’t allow for these artworks to be repeatable. This paper clarifies the created-abstract-simples view and defends the view against these objections. -/- . (shrink)

In ‘Against fictional realism’ Anthony Everett argues that fictional realism leads to indeterminate identity. He concludes that we should reject fictional realism. Everett’s paper and much of the ensuing literature does not discuss what exactly fictional characters are. This is a mistake. I argue that some versions of abstract creationism about fictional characters lead to indeterminate identity, and that some versions of Platonism about fictional characters lead only to indeterminate reference. In doing so I show that Everett’s argument poses a (...) more pressing problem for abstract creationism than for Platonism. The general lesson is that fictional realists should think more about the ontology of fictional characters in order to discern whether they are committed to indeterminate identity. (shrink)

According to Richard Jeffrey’s value-free ideal, scientists should avoid making value judgments about inductive risks by offering explicit representations of scientific uncertainty to decision-makers, who can use these to make decisions according to their own values. Some philosophers have responded by arguing that higher-order inductive risks arise in the process of producing representations of uncertainty. This chapter explores this line of argument and its limits, arguing that the Jeffreyan value-free ideal is achievable in contexts where methodological decisions introduce minimal higher-order (...) uncertainty and where communications of uncertainty are unlikely to be manipulated or misunderstood by scientists or decision-makers. This chapter illustrates the limits of the Jeffreyan ideal with reference to climate science and argues that the context of climate science is not conducive to the Jeffreyan ideal, so the argument that climate modeling is value-laden due to higher-order inductive risks withstands recent criticisms. (shrink)

There have been many efforts to infer causation from association byusing statistical models. Algorithms for automating this processare a more recent innovation. In Humphreys and Freedman[(1996) British Journal for the Philosophy of Science 47, 113–123] we showed that one such approach, by Spirtes et al., was fatally flawed. Here we put our arguments in a broader context and reply to Korb and Wallace [(1997) British Journal for thePhilosophy of Science 48, 543–553] and to Spirtes et al.[(1997) British Journal for the (...) Philosophy of Science 48, 555–568]. Their arguments leave our position unchanged: claims to have developed a rigorous engine for inferring causation from association are premature at best, the theorems have no implications for samples of any realistic size, and the examples used to illustrate the algorithms are indicative of failure rather than success. The gap between association and causation has yet to be bridged. (shrink)

This paper is on the metaphysics and normativity of Jewish identity. It starts with a metaphysical question: “Can a Jewish person become non-Jewish?” This question and the related question “What is Jewishness?” are both ambiguous, because the word “Jewish” is ambiguous. The paper outlines five concepts of Jewishness: halachic, religious, ethnic, and cultural Jewishness, as well as being Jewish in the sense of belonging to the Jewish community. In some of these senses of “Jewish” a Jewish person is always Jewish. (...) In other senses a Jewish person can become non-Jewish. The paper closes with a normative question: Should a person who is Jewish, in the sense of belonging to the Jewish community, become non-Jewish? The paper explains reasons for and against staying in the Jewish community and in doing so highlights a tension, rather than telling anyone how they should identify. (shrink)

After sketching the conflict between objectivists and subjectivists on the foundations of statistics, this paper discusses an issue facing statisticians of both schools, namely, model validation. Statistical models originate in the study of games of chance, and have been successfully applied in the physical and life sciences. However, there are basic problems in applying the models to social phenomena; some of the difficulties will be pointed out. Hooke's law will be contrasted with regression models for salary discrimination, the latter being (...) a fairly typical application in the social sciences. (shrink)

Bargaining games have played a prominent role in modeling the evolution of social conventions. Previous models assumed that agents must choose from a predetermined set of strategies. I present a new model of two agents learning in bargaining games in which new strategies must be invented and reinforced. I study the efficiency and fairness of the model outcomes. The outcomes are somewhat efficient, but a significant part of the resource is wasted nonetheless. I implement two forms of forgetting, and restrictions (...) to the set of strategies that can be invented. (shrink)

For centuries, the processes of social differentiation associated with Modernity have often been thought to intensify the need for site-specific forms of role training and knowledge production, threatening the university’s survival either through fragmentation or through failure to adapt. Other lines of argument emphasize the extent to which the Modern system creates and relies on an integrated knowledge system, but most of the literature stresses functional differentiation and putative threats to the university. And yet over this period the university has (...) flourished. In our view, this seeming paradox is explained by the fact that modern society rests as much on universalistic cosmological bases as it does on differentiation. The university expands over recent centuries because – as it has from its religious origins – it casts cultural and human materials in universalistic terms. Our view helps explain empirical phenomena that confound standard accounts: the university’s extraordinary expansion and global diffusion, its curricular and structural isomorphism, and its relatively unified structure. All of this holds increasingly true after World War II, as national state societies made up of citizens are increasingly embedded in a world society constituted of empowered individuals. The redefinition of society in global and individual terms reduces nationally bounded models of nature and culture, extends the pool of university beneficiaries and investigators, and empowers the human persons who are understood to root it all. The changes intensify universalization and the university’s rate of worldwide growth. For the university’s knowledge and “knowers,” and for the pedagogy that joins them together, the implications are many. The emerging societal context intensifies longstanding processes of cultural rationalization and ontological elaboration, yielding great expansions in what can and should be known, and in who can and should know. These changes in turn alter the menu of approved techniques for joining knowledge and knower as one. The “knowledge society” that results is distinguished by the extraordinary degree to which the university is linked to society. But it is also distinguished by the degree to which society is organized around the university’s abstracted and universalized understandings of the world and its degree-certified graduates. (shrink)

2018 marked the centenary of Wesley Hohfeld’s untimely passing. Curiously, in recent years quite a few legal historians and philosophers have identified him as a Legal Realist. This article argues that Hohfeld was no such thing, that his work need not be understood in such lights, and that he in fact made a smaller contribution to jurisprudence than is generally believed. He has nothing to do with theories of official decision-making that identify “extra-legal” factors as the real drivers of judicial (...) decision-making, and nor must his schema of jural relations advance a “Realist” political agenda. Distinguishing Hohfeld from the Realists will correct some misunderstandings about his work and demonstrate its utility in many more contexts than a Realist reading of it allows. (shrink)

The Sociology of Knowledge in Weimar Germany: Its Background and Context i Any serious attempt to understand the distinctive nature of the German tradition ...

General epistemic polarization arises when the beliefs of a population grow further apart, in particular when all agents update on the same evidence. Epistemic factionalization arises when the beliefs grow further apart, but different beliefs also become correlated across the population. I present a model of how factionalization can emerge in a population of ideally rational agents. This kind of factionalization is driven by probabilistic relations between beliefs, with background beliefs shaping how the agents’ beliefs evolve in the light of (...) new evidence. Moreover, I show that in such a model, the only possible outcomes from updating on identical evidence are general convergence or factionalization. Beliefs cannot spread out in all directions: if the beliefs overall polarize, then it must result in factionalization. (shrink)

This article explores the history of ‘subordination-authority-relation’ psychotherapy, a brand of psychotherapy largely forgotten today that was introduced and practised in inter-war Vienna by the psychiatrist Erwin Stransky. I situate ‘SAR’ psychotherapy in the medical, cultural and political context of the inter-war period and argue that – although Stransky’s approach had little impact on historical and present-day debates and reached only a very limited number of patients – it provides a particularly clear example for the political dimensions of psychotherapy. In (...) the early 20th century, the emerging field of psychotherapy was largely dominated by Freudian psychoanalysis and its Adlerian and Jungian offshoots. Psychotherapists’ relations with academic psychiatry were often uneasy, but the psychodynamic schools succeeded in establishing independent institutions for training and treatment. However, as this article shows, the gulf between mainstream psychiatry and psychotherapy was not as wide as many histories of the psy-disciplines in the early 20th century suggest. In inter-war Vienna, where these conflicts raged most fiercely, Stransky’s ‘SAR’ psychotherapy was intended as an academic psychiatrist’s response to the challenge posed by the emerging competitors. Moreover, Stransky also proposed a political alternative to the existing psychotherapeutic schools. Whereas psychoanalysis was a liberal project, and Adlerian individual psychology was closely affiliated with the socialist movement, ‘SAR’ psychotherapy with its focus on authority, subordination and social hierarchy tried to translate a right-wing, authoritarian understanding of society into a treatment for nervous disorders. (shrink)

In thinking and talking about rights, including property rights, it seems natural to put the argument in either moral or legal terms. From the former viewpoint, rights are part of a description of what actions are right or wrong. The fact that I have a right to do something is an argument, although not necessarily a sufficient argument, that someone who prevents me from doing it is acting wrongly.

We explore success drivers of reward-based crowdfunding for poverty alleviation in China. The results from our econometric modeling using data from 4375 reward-based crowdfunding campaigns suggest that poverty alleviation campaigns, as compared to ordinary ones, benefit from higher funded amounts, larger backer numbers, and greater success rates. The results also suggest that poverty alleviation campaigns perform better when the products sold originate from poorer (as compared to wealthier) regions and when price premiums are lower (as compared to higher). We corroborate (...) important findings from the field study with an experimental study, showing that the consumer’s feeling of warm glow accounts for the positive effects of poverty alleviation campaigns (as compared to ordinary) campaigns. We expand the applications of warm-glow theory into the context of reward-based crowdfunding campaigns for poverty alleviation and offer new insights into success drivers of such campaigns. (shrink)

Basic human rights are supposed to protect people from abuse and harm. They are the means whereby we protect our humanity. One would expect, therefore, that basic human rights would be valid and sacred in any context, including industrial relations. However, the complexity of the employee–employer relationship obscures this issue, and it is not clear whether such rights can be protected or whether they are valid in the context of industrial relations. Since rights are relational, they are preconditioned on the (...) special nature of the relationship between employee and employer. Hence, the specific meaning that these rights have in industrial relations cannot be grounded in the notion of human rights as such, but rather depends on the special relationships between employers and employees. Though much legislation has been passed to regulate the relationship between employees and employers, the issues surrounding this relationship remain one of the most debated topics in business ethics. Our paper focuses specifically on the right to equal pay and the right to privacy. With respect to the right to property, the paper examines whether there is a conflict between general human rights and the fundamental right of employers to their property. The Israeli legislature has responded to this conflict by enacting ‘protective laws’ that legally outline and mandate certain human rights. Under these laws, employees are prevented and prohibited from waiving the rights granted to them by law, even if employed in private industries. Despite this legislative effort, market forces are at times stronger, and consequently some basic rights are not fully applied or implemented. (shrink)