Continuous reducibilities are a proven tool in Computable Analysis, and have applications in other fields such as Constructive Mathematics or Reverse Mathematics. We study the order-theoretic properties of several variants of the two most important definitions, and especially introduce suprema for them. The suprema are shown to commutate with several characteristic numbers.

We show that a computable function $f:\mathbb R\rightarrow \mathbb R$ has Luzin’s property if and only if it reflects $\Pi ^1_1$ -randomness, if and only if it reflects $\Delta ^1_1$ -randomness, and if and only if it reflects ${\mathcal {O}}$ -Kurtz randomness, but reflecting Martin–Löf randomness or weak-2-randomness does not suffice. Here a function f is said to reflect a randomness notion R if whenever $f$ is R-random, then x is R-random as well. If additionally f is known to have (...) bounded variation, then we show f has Luzin’s if and only if it reflects weak-2-randomness, and if and only if it reflects $\emptyset '$ -Kurtz randomness. This links classical real analysis with algorithmic randomness. (shrink)

We show that a computable function $f:\mathbb R\rightarrow \mathbb R$ has Luzin’s property if and only if it reflects $\Pi ^1_1$ -randomness, if and only if it reflects $\Delta ^1_1$ -randomness, and if and only if it reflects ${\mathcal {O}}$ -Kurtz randomness, but reflecting Martin–Löf randomness or weak-2-randomness does not suffice. Here a function f is said to reflect a randomness notion R if whenever $f$ is R-random, then x is R-random as well. If additionally f is known to have (...) bounded variation, then we show f has Luzin’s if and only if it reflects weak-2-randomness, and if and only if it reflects $\emptyset '$ -Kurtz randomness. This links classical real analysis with algorithmic randomness. (shrink)

In this work we investigate the Weihrauch degree of the problem Decreasing Sequence of finding an infinite descending sequence through a given ill-founded linear order, which is shared by the problem Bad Sequence of finding a bad sequence through a given non-well quasi-order. We show that $\mathsf {DS}$, despite being hard to solve, is rather weak in terms of uniform computational strength. To make the latter precise, we introduce the notion of the deterministic part of a Weihrauch degree. We then (...) generalize $\mathsf {DS}$ and $\mathsf {BS}$ by considering $\boldsymbol {\Gamma }$ -presented orders, where $\boldsymbol {\Gamma }$ is a Borel pointclass or $\boldsymbol {\Delta }^1_1$, $\boldsymbol {\Sigma }^1_1$, $\boldsymbol {\Pi }^1_1$. We study the obtained $\mathsf {DS}$ -hierarchy and $\mathsf {BS}$ -hierarchy of problems in comparison with the Baire hierarchy and show that they do not collapse at any finite level. (shrink)

There are close similarities between the Weihrauch lattice and the zoo of axiom systems in reverse mathematics. Following these similarities has often allowed researchers to translate results from one setting to the other. However, amongst the big five axiom systems from reverse mathematics, so far $\mathrm {ATR}_0$ has no identified counterpart in the Weihrauch degrees. We explore and evaluate several candidates, and conclude that the situation is complicated.

We study the computational content of the Brouwer Fixed Point Theorem in the Weihrauch lattice. Connected choice is the operation that finds a point in a non-empty connected closed set given by negative information. One of our main results is that for any fixed dimension the Brouwer Fixed Point Theorem of that dimension is computably equivalent to connected choice of the Euclidean unit cube of the same dimension. Another main result is that connected choice is complete for dimension greater than (...) or equal to two in the sense that it is computably equivalent to Weak Kőnig’s Lemma. While we can present two independent proofs for dimension three and upward that are either based on a simple geometric construction or a combinatorial argument, the proof for dimension two is based on a more involved inverse limit construction. The connected choice operation in dimension one is known to be equivalent to the Intermediate Value Theorem; we prove that this problem is not idempotent in contrast to the case of dimension two and upward. We also prove that Lipschitz continuity with Lipschitz constants strictly larger than one does not simplify finding fixed points. Finally, we prove that finding a connectedness component of a closed subset of the Euclidean unit cube of any dimension greater than or equal to one is equivalent to Weak Kőnig’s Lemma. In order to describe these results, we introduce a representation of closed subsets of the unit cube by trees of rational complexes. (shrink)

Research on moral distress has paid limited attention to nurses’ responses and actions. In a survey of nurses’ perceptions of moral distress and ethical climate, 292 nurses answered three open-ended questions about situations that they considered morally distressing. Participants identified a range of situations as morally distressing, including witnessing unnecessary suffering, being forced to provide care that compromised values, and negative judgments about patients. They linked these situations to contextual constraints such as workload and described responses, including feeling incompetent and (...) distancing themselves from patients. Participants described considerable effort to effect change, calling into question the utility of defining moral distress as an “inability to act due to institutional constraints” or a “failure to pursue a right course of action.” Various understandings of moral distress operated, and action was integral to their responses. The findings suggest further conceptual work on moral distress and effort to support system-level change. (shrink)

Conspiracy Theories The term “conspiracy theory” refers to a theory or explanation that features a conspiracy among a group of agents as a central ingredient. Popular examples are the theory that the first moon landing was a hoax staged by NASA, or the theory that the 9/11 attacks on the World Trade Center were not … Continue reading Conspiracy Theories →.

Exploration of the political roles firms play in society is a flourishing stream within corporate social responsibility research. However, few empirical studies have examined multiple levels of political CSR at the same time from a critical perspective. We explore both how the motivations of managers and internal organizational practices affect a company’s choice between competing CSR approaches, and how the different CSR programs of corporate and civil society actors compete with each other. We present a qualitative interpretative case study of (...) how a French children’s clothing retailer develops CSR practices in response to accusations of poor working conditions and child labor in its supply chain. The company’s CSR approach consists of superficial practices, such as supplier audits by a cooperative business-organized nongovernmental organization and philanthropic activities, which enable managers to silence more radical alternative models defended by other NGOs, activists, and trade unions. By this approach, the core business model based on exploitative low-cost country sourcing remains intact through self-regulated CSR. Through the case study, we develop a framework of dynamism in competing CSR programs. We discuss the implications of our study for CSR researchers, company managers, and policy makers. (shrink)

Multinational corporations are operating in complex business environments. They are confronted with contradictory institutional demands that often represent mutually incompatible expectations of various audiences. Managing these demands poses new organizational challenges for the corporation. Conducting an empirical case study at the sportswear manufacturer Puma, we explore how multinational corporations respond to institutional complexity and what legitimacy strategies they employ to maintain their license to operate. We draw on the literature on institutional theory, contingency theory, and organizational paradoxes. The results of (...) our qualitative longitudinal study show that managing corporate legitimacy is a dynamic process in which corporations adapt organizational capacities, structures, and procedures. (shrink)

Name der Zeitschrift: Kant-Studien Jahrgang: 108 Heft: 1 Seiten: 19-54.

Das Lehrbuch, das neuartige Zugänge bietet, die sowohl die Politikgestaltung beeinflussen, als auch der Politikwissenschaft ein komplexes kritisch-rationales Handlungs- und Orientierungswissen bereitstellen. Das Werk eignet sich sowohl für das Selbststudium als auch für den akademischen Unterricht.

The use and development of technic always presuposes- as every human interaction does- at least implicitely as set of leading concepts conceming the essense and destiny of human life and the good order of society. This study analyses and explains out of a christian perspective the concepts of technic, technical damages, technical risks, developes principals for the treatment of such risks and finally tries to evaluate the nuclear energy technic.

There is a nationwide resurgence of tuberculosis in the country’s urban centers; New York City stands at the forefront of this resurgence. The root causes are increased homelessness, drug addiction and poverty, all symbols of deteriorating social and economic conditions in the city. The inadequate level of public health resources devoted to TB has also contributed to its spread. Still, even with these factors, it is questionable whether the escalating number of TB cases in this country would have occurred without (...) the reservoir of immunosuppressed persons, who are less resistant to the disease, created by the AIDS epidemic. The fear and urgency of this public health crisis, which has been emerging since the beginning of the last decade, are fueled by the rise of TB strains resistant to the first-line drugs and by the disease’s contagiousness. (shrink)

Although machine learning has been successful in recent years and is increasingly being deployed in the sciences, enterprises or administrations, it has rarely been discussed in philosophy beyond the philosophy of mathematics and machine learning. The present contribution addresses the resulting lack of conceptual tools for an epistemological discussion of machine learning by conceiving of deep learning networks as ‘judging machines’ and using the Kantian analysis of judgments for specifying the type of judgment they are capable of. At the center (...) of the argument is the fact that the functionality of deep learning networks is established by training and cannot be explained and justified by reference to a predefined rule-based procedure. Instead, the computational process of a deep learning network is barely explainable and needs further justification, as is shown in reference to the current research literature. Thus, it requires a new form of justification, that is to be specified with the help of Kant’s epistemology. (shrink)

We define and investigate a family of local–global principles for fields involving both orderings and p-valuations. This family contains the PAC, PRC and PpC fields and exhausts the class of pseudo classically closed fields. We show that the fields satisfying such a local–global principle form an elementary class, admit diophantine definitions of holomorphy domains, and their orderings satisfy the strong approximation property.

This paper reviews the debate on the notion of biological function and on functional explanation as this takes place in philosophy. It describes the different perspectives, issues, intuitions, theories and arguments that have emerged. The author shows that the debate has been too heavily influenced by the concerns of a naturalistic philosophy of mind and argues that in order to improve our understanding of biology the attention should be shifted from the study of intuitions to the study of the actual (...) practice of biological inquiry. (shrink)

Contract cheating – outsourcing student assignments for a fee – presents a growing threat to the integrity of higher education. As contract cheating is based on students purchasing assignments that are original, traditional plagiarism detection tools remain insufficient to detect contract cheating. Part of the problem is that proving contract cheating is difficult. As a result, instructors may find it hard to prosecute students. To help address the problem, this conceptual paper builds upon extant scholarship on contract cheating and argues (...) that a novel evidence-based approach is needed. Such an approach should allow instructors to detect and prosecute cases of contract cheating effectively and efficiently. The paper then presents an outline of such an approach and calls it the “Doping Test” approach as it mimics some aspects of doping testing in professional sport. (shrink)

The systematic development of the concept of justice occurs on the basis of human rights. First, this human rights basis is examined in terms of theories of conflict and cooperation. Furthermore, it is investigated whether wisdom suffices as the basis of human rights or whether moral norms are necessary. With the distinguishing of human rights into negative, active and positive rights, distinctions result with respect to the concept of justice, leading to the concepts of a state under the rule of (...) law, democracy and the welfare state, and explaining the concept of socialjustice through exchange, participation, distribution, and procedural faimess. Overcoming the tension between formal rights of freedom and social rights, reference is made to the principles of subsidiarity and democracy. Finally, issues arising with respect to the theory of justice are considered in relation to the problern of globalisation. (shrink)

There is a nationwide resurgence of tuberculosis in the country’s urban centers; New York City stands at the forefront of this resurgence. The root causes are increased homelessness, drug addiction and poverty, all symbols of deteriorating social and economic conditions in the city. The inadequate level of public health resources devoted to TB has also contributed to its spread. Still, even with these factors, it is questionable whether the escalating number of TB cases in this country would have occurred without (...) the reservoir of immunosuppressed persons, who are less resistant to the disease, created by the AIDS epidemic. The fear and urgency of this public health crisis, which has been emerging since the beginning of the last decade, are fueled by the rise of TB strains resistant to the first-line drugs and by the disease’s contagiousness. (shrink)

The work [11] deals with questions of first-order definability in algebraic function fields. In particular, it exhibits new cases in which the field of constant functions is definable, and it investigates the phenomenon of definable transcendental elements. We fix some of its proofs and make additional observations concerning definable closure in these fields.

The term “translation” has three meanings: the practice of the translator, the textual outcome of this practice, and the relationship it creates between texts and languages. In this article, I would like to draw attention to this third aspect, translation as a relation. To do so, I will first propose a historical overview of the first two meanings, as well as of the normative or descriptive aims associated to them. Secondly, I identify three motives for thinking about translation that are (...) primarily concerned with its relational dimension: the lack of a language to speak about the relationship between languages, i.e. about what’s incomparable and what gets subtracted. I conclude this article with the hypothesis that translation as a relation constitutes a refuge event for the plurality of languages. (shrink)

Nietzsche's model of eternal return triggers a drama of affirmation, the overcoming of a simple miming of our ancestors in favour of an active participation in the counter-actualisation of hidden potentials in recurrent events. Based on a close study of Zarathustra's struggle to free himself from a suffocating nihilism, the paper focuses on the revelatory caesura that ushers in what Deleuze calls the third synthesis of time, a time of ‘doing’ rather than reflection.

I argue that there are at least four different ways in which the term ‘function’ is used in connection with the study of living organisms, namely: function as activity, function as biological role, function as biological advantage, and function as selected effect. Notion refers to what an item does by itself; refers to the contribution of an item or activity to a complex activity or capacity of an organism; refers to the value for the organism of an item having a (...) certain character rather than another; refers to the way in which a trait acquired and has maintained its current share in the population. The recognition of a separate notion of function as biological advantage solves the problem of the indeterminate reference situation that has been raised against a counterfactual analysis of function, and emphasizes the importance of counterfactual comparison in the explanatory practice of organismal biology. This reveals a neglected problem in the philosophy of biology, namely that of accounting for the insights provided by counterfactual comparison. (shrink)

I argue that there are at least four different ways in which the term ‘function’ is used in connection with the study of living organisms, namely: function as activity, function as biological role, function as biological advantage, and function as selected effect. Notion refers to what an item does by itself; refers to the contribution of an item or activity to a complex activity or capacity of an organism; refers to the value for the organism of an item having a (...) certain character rather than another; refers to the way in which a trait acquired and has maintained its current share in the population. The recognition of a separate notion of function as biological advantage solves the problem of the indeterminate reference situation that has been raised against a counterfactual analysis of function, and emphasizes the importance of counterfactual comparison in the explanatory practice of organismal biology. This reveals a neglected problem in the philosophy of biology, namely that of accounting for the insights provided by counterfactual comparison. (shrink)

Dieses Buch schlägt - unter dem Titel "synthetischer Materialismus" - einen neuen Weg zur Klärung des Geist-Materie-Problems vor. Ausgangspunkt ist die These, dass wir als Betrachter der Welt frei sind, dieselben Gegenstände in unterschiedlich komplexe raum-zeitliche Zusammenhänge einzuordnen, und dass sich daraus unterschiedliche Möglichkeiten der Klassifikation von Gegenständen ergeben können: Wenn wir von "Lebewesen", "Handlungssubjekten" und "Personen" sprechen, und ihnen psychische Phänomene zuschreiben, nutzen wir den Umstand, dass die Konstellationen von Kohlehydraten, Eiweißen, Wasser und Nukleinsäuren, die jene Entitäten auch sind, (...) in einer besonderen Weise mit Teilen ihrer Vergangenheit, Gegenwart und Zukunft in Verbindung gebracht werden können. Der synthetische Materialismus vermag so zu zeigen, dass es zwischen einem ausschließlich "materialistischen" Verständnis der Welt und jenen Sichtweisen, innerhalb derer wir manche Komplexe von materiellen Phänomenen als Individuen mit ihnen selbst bewussten Empfindungen, Absichten und Überzeugungen verstehen, Übergänge gibt, die methodisch-wissenschaftlich nachvollzogen werden können und die nicht zu nutzen töricht wäre. (shrink)