The property of admissibility of representations plays an important role in Type–2 Theory of Effectivity . TTE defines computability on sets with continuum cardinality via representations. Admissibility is known to be indispensable for guaranteeing reasonable effectivity properties of the used representations.The question arises whether every function that is computable with respect to arbritrary representations is also computable with respect to closely related admissible ones. We define three operators which transform representations into admissible ones in such a way that relative computability (...) of functions is preserved. Thus the use of admissible representations rather than of non–admissible ones does not decrease the class of relatively computable functions. (shrink)

In a recent paper, probabilistic processes are used to generate Borel probability measures on topological spaces X that are equipped with a representation in the sense of type-2 theory of effectivity. This gives rise to a natural representation of the set of Borel probability measures on X. We compare this representation to a canonically constructed representation which encodes a Borel probability measure as a lower semicontinuous function from the open sets to the unit interval. We show that this canonical representation (...) is admissible with respect to the weak topology on Borel probability measures. Moreover, we prove that for countably-based topological spaces the representation via probabilistic processes is equivalent to the canonical representation and thus admissible with respect to the weak topology. (shrink)

The basic concept of Type-2 Theory of Effectivity to define computability on topological spaces or limit spaces are representations, i. e. surjection functions from the Baire space onto X. Representations having the topological property of admissibility are known to provide a reasonable computability theory. In this article, we investigate several additional properties of representations which guarantee that such representations induce a reasonable Type-2 Complexity Theory on the represented spaces. For each of these properties, we give a nice characterization of the (...) class of spaces that are equipped with a representation having the respective property. (shrink)

Every second-countable regular topological space X is metrizable. For a given “computable” topological space satisfying an axiom of computable regularity M. Schröder [10] has constructed a computable metric. In this article we study whether this metric space can be considered computationally as a subspace of some computable metric space [15]. While Schröder's construction is “pointless”, i. e., only sets of a countable base but no concrete points are known, for a computable metric space a concrete dense set of computable points (...) is needed. But there may be no computable points in X. By converging sequences of basis sets instead of Cauchy sequences of points we construct a metric completion of a space together with a canonical representation equation image, equation image. We show that there is a computable embedding of in with computable inverse. Finally, we construct a notation of a dense set of points in with computable mutual distances and prove that the Cauchy representation of the resulting computable metric space is equivalent to equation image. Therefore, every computably regular space has a computable homeomorphic embedding in a computable metric space, which topologically is its completion. By the way we prove a computable Urysohn lemma. (shrink)

Matthias Schröder has asked the question whether there is a weakest discontinuous problem in the topological version of the Weihrauch lattice. Such a problem can be considered as the weakest unsolvable problem. We introduce the discontinuity problem, and we show that it is reducible exactly to the effectively discontinuous problems, defined in a suitable way. However, in which sense this answers Schröder’s question sensitively depends on the axiomatic framework that is chosen, and it is a positive answer if we (...) work in Zermelo–Fraenkel set theory with dependent choice and the axiom of determinacy $\mathsf {AD}$. On the other hand, using the full axiom of choice, one can construct problems which are discontinuous, but not effectively so. Hence, the exact situation at the bottom of the Weihrauch lattice sensitively depends on the axiomatic setting that we choose. We prove our result using a variant of Wadge games for mathematical problems. While the existence of a winning strategy for Player II characterizes continuity of the problem (as already shown by Nobrega and Pauly), the existence of a winning strategy for Player I characterizes effective discontinuity of the problem. By Weihrauch determinacy we understand the condition that every problem is either continuous or effectively discontinuous. This notion of determinacy is a fairly strong notion, as it is not only implied by the axiom of determinacy $\mathsf {AD}$, but it also implies Wadge determinacy. We close with a brief discussion of generalized notions of productivity. (shrink)

This paper presents a review of studies that were aimed at determining which brain regions are recruited during visual self-recognition, with a particular focus on self-face recognition. A complex bilateral network, involving frontal, parietal and occipital areas, appears to be associated with self-face recognition, with a particularly high implication of the right hemisphere. Results indicate that it remains difficult to determine which specific cognitive operation is reflected by each recruited brain area, in part due to the variability of used control (...) stimuli and experimental tasks. A synthesis of the interpretations provided by previous studies is presented. The relevance of using self-recognition as an indicator of self-awareness is discussed. We argue that a major aim of future research in the field should be to identify more clearly the cognitive operations induced by the perception of the self-face, and search for dissociations between neural correlates and cognitive components. (shrink)

The series, founded in 1970, publishes works which either combine studies in the history of philosophy with a systematic approach or bring together systematic studies with reconstructions from the history of philosophy. Monographs are published in English as well as in German. The founding editors are Erhard Scheibe (editor until 1991), Günther Patzig (until 1999) and Wolfgang Wieland (until 2003). From 1990 to 2007, the series had been co-edited by Jürgen Mittelstraß.

According to Adam Smith, the acquisition of moral conscience is an essential part of a person’s moral education. I argue that moral conscience as conceived by Smith enables a person to intentionally take the role of an impartial spectator. I trace the process of moral education from the child in its family, to interaction with peers to learning and then to a self-evaluation, learning to become one’s own spectator and judge. This is a move from uncritical trust to external guidance (...) to acquiring the faculty of conscience. Smith recommends most people to rely on the ‘common rules of morality’ rather than on sympathetic processes alone. But such reliance represents merely a second best procedure for reaching a properly impartial moral judgment. While the ‘wise and virtuous’ may well improve on the impartiality of the ‘common rules of morality’, even their moral judgments will never be perfectly impartial or certain beyond doubt. (shrink)

Can we have objective knowledge of the world? Can we understand what is morally right or wrong? Yes, to some extent. This is the answer given by Adam Smith and Edmund Husserl. Both rejected David Hume s skeptical account of what we can hope to understand. But they held his empirical method in high regard, inquiring into the way we perceive and emotionally experience the world, into the nature and function of human empathy and sympathy and the role of the (...) imagination in processes of intersubjective understanding. The challenge is to overcome the natural constraints of perceptual and emotional experience and reach an agreement that is informed by the facts in the world and the nature of morality. This collection of philosophical essays addresses an audience of Smith- and Husserl scholars as well as everybody interested in theories of objective knowledge and proper morality which are informed by the way we perceive and think and communicate.". (shrink)

We read Adam Smith's Theory of Moral Sentiments as a critical response to David Hume's moral theory. While both share a commitment to moral sentimentalism, they propose different ways of meeting its main challenge, that is, explaining how judgments informed by (partial) sentiments can nevertheless have a justified claim to general authority. This difference is particularly manifest in their respective accounts of ‘moral optics’, or the way they rely on the analogy between perceptual and moral judgments. According to Hume, making (...) perceptual and moral judgments requires focusing on frequently co-occurring impressions (perceptions of objects or reactive sentiments) for tracking an existing object with its perceptual properties or an agent's character traits. Smith uses visual perception for the purpose of illustrating one source of the partiality of the sentiments people feel in response to actions. Before making a moral judgment, people have to disregard this partiality and accept that they are all equally important. Smith and Hume's different ways of relying on the same analogy reveals the still-overlooked and yet profound differences between their moral theories. (shrink)

Name der Zeitschrift: Frühmittelalterliche Studien Jahrgang: 48 Heft: 1 Seiten: 277-294.

Jane Austen has long been recognized as a moral thinker. Below the surface of romance there is in her novels a moral message. I focus on Pride and Prejudice. Certain passages of this novel have been traced to Adam Smith’s Theory of Moral Sentiments before. But Jane Austen did not only borrow two short passages from Adam Smith and inserted them into the text of her novel. My claim is that Jane Austen relied much more extensively on the Theory of (...) Moral Sentiments as a source of inspiration for this novel. Indeed, she used it, and in particular book VI.iii., the chapter on ‘self-command’ in the TMS, as a source of inspiration for designing the plot of this novel, for shaping some of the main characters, and for composing the moral message in the sub-text of this novel. By inviting her readers to share the point of view of the heroine, Elizabth Bennet, she involves them in a process of learning to be virtuous that bears strong resemblance to this process as Adam Smith described it in his moral theory. (shrink)

We are often pressed to forgive or in need of forgiveness: Wrongdoing is common. Even after a perpetrator has been taken to court and punished, forgiveness still has a role to play. How should a victim and a perpetrator relate to each other outside the courtroom, and how should others relate to them? Communicating about forgiveness is particularly urgent in cases of civil war and crimes against humanity inside a community where, if there were no forgiveness, the community would fall (...) apart. Forgiveness is governed by social and, in particular, by moral norms. Do those who ask to be forgiven have to fulfil certain conditions for being granted forgiveness? And what does the granting of forgiveness consist in? We may feel like refusing to forgive those perpetrators who have committed the most horrendous crimes. But is such a refusal justified even if they repent their crimes? Could there be a duty for the victim to forgive? Can forgiveness be granted by a third party? Under which conditions may we forgive ourselves? The papers collected in the present volume address all these questions, exploring the practice of forgiveness and its normative constraints. Topics include the ancient Chinese and the Christian traditions of forgiveness, the impact of forgiveness on the moral dignity and self-respect of the victim, self-forgiveness, the narrative of forgiveness as well as the limits of forgiveness. Such limits may arise from the personal, historical, or political conditions of wrongdoing or from the emotional constraints of the victims. (shrink)

This paper provides a summary of the symposium on the institutional and social construction of Responsible Investment (RI), held at the 22nd IABS conference. In the context of the symposium, we propose to move beyond the dominant focus on the financial impact of RI to consider the potential of emergent institutional and sociological perspectives to explain the practices and concepts related to RI. In doing so, our aim is to explore in greater detail the current changes in the RI infrastructure (...) and the impact of these changes on wider issues of corporate sustainability and social responsibility. (shrink)

This chapter presents a short biography of Immanuel Kant. It then reviews his particular thoughts on musical philosophy. Kant was born on April 22, 1724 in Königsberg. He never married and died in his house on February 12, 1804. He placed the theory of cognition at the beginning of his critical transcendental philosophy, in Critique of Pure Reason. His theory of art was pointed toward identifying the place that the judgment of beautiful objects in nature and art occupies in his (...) system of transcendental philosophy. Kant accorded to music the status of a fine art, whose works engage the cognitive powers in a state of free play. Critique of Judgment occupied a unique position in regard to the reception of Kantian transcendental philosophy. The basis for an understanding of the semiotic character of absolute music was provided by Kant's transcendental philosophy and his cognitivist aesthetics. (shrink)

Vorlesungen über die Algebra der Logik ist ein unveränderter, hochwertiger Nachdruck der Originalausgabe aus dem Jahr 1890. Hansebooks ist Herausgeber von Literatur zu unterschiedlichen Themengebieten wie Forschung und Wissenschaft, Reisen und Expeditionen, Kochen und Ernährung, Medizin und weiteren Genres. Der Schwerpunkt des Verlages liegt auf dem Erhalt historischer Literatur. Viele Werke historischer Schriftsteller und Wissenschaftler sind heute nur noch als Antiquitäten erhältlich. Hansebooks verlegt diese Bücher neu und trägt damit zum Erhalt selten gewordener Literatur und historischem Wissen auch für die (...) Zukunft bei. (shrink)

Forgiveness typically becomes an issue where an offender has wronged a victim. What the offender and his victim are concerned with when engaging in a process of asking for and granting forgiveness includes the social relations that previously existed between them. It is against the background of these relations that the question arises whether there can be a duty for a victim to forgive and a right for an offender to be forgiven. I suggest distinguishing between personal and moral relations (...) between people; the latter bind every rational agent to the community of all moral agents, whereas the former are a personal matter. Accordingly, I distinguish between personal and moral forgiveness. And I argue that the offender has a right to be morally forgiven, either by the victim herself or by another member of the community of moral agents; but the victim does not have a duty to forgive the offender personally. (shrink)

The inscription published here, found in 1985 at Haliartus in Boeotia, is a three-sided stele, broken from top to bottom, bearing lists of proper names. It can be dated to about the middle of the 3rd c. BC from the engraving, and particularly from the majority presence of patronymic adjectives. In spite of the lack of a title, due to the break in the stone, it may be said with probability that it concerns one or more lists of conscripts. If (...) a prosopographical study does not permit a sure conclusion, an onomastic analysis is rather more rewarding. Thus it is possible to distinguish three layers of names: the first comprises names current throughout the Greek world, the second names that were properly Boeotian, in particular theophoric ones like Πτωιόδωρος, and the third rare names, like Πέρμιχος and Πέρμων. (shrink)

Depuis le début des années 2010 fleurissent les publications, les rencontres, les formations qui se placent sous le signe des Film Festival Studies. Depuis longtemps, pourtant, les festivals de films avaient rencontré l’intérêt de chercheurs, issus de diverses disciplines. Une dynamique nouvelle serait-elle donc à l’œuvre depuis la dernière décennie, une volonté explicite de se raccrocher à la perspective très anglo-saxonne des Studies? Ce texte se propose d’ouvrir quelques pistes de réflexion relatives à la spécificité des études portant sur cet (...) objet singulier que constituent les festivals de cinéma et audiovisuel, dans la perspective de poser des jalons propres à l’épistémologie d’un champ de recherche encore à construire. (shrink)

In this paper, we compare and contrast institutional theory and convention theory on the concept of mimetism, suggesting how they can cross-pollinate each other and more specifically how the self-referential quality of collective beliefs improves the understanding of mimetic isomorphism. We test this proposition with the case of responsible investment’s mainstreaming.First level results decompose the history of RI into five successive periods. A content analysis of articles on RI in the financial press leads to second level results consisting in a (...) number of salient representations of RI, which we consider to be the dominant conventions. The data is structured using a bracketing strategy, which allows a longitudinal analysis of conventions and their evolution over the five RI periods. (shrink)