We introduce a new Turing machine based concept of time complexity for functions on computable metric spaces. It generalizes the ordinary complexity of word functions and the complexity of real functions studied by Ko [19] et al. Although this definition of TIME as the maximum of a generally infinite family of numbers looks straightforward, at first glance, examples for which this maximum exists seem to be very rare. It is the main purpose of this paper to prove that, nevertheless, the (...) definition has a large number of important applications. Using the framework of TTE [40], we introduce computable metric spaces and computability on the compact subsets. We prove that every computable metric space has a c-proper c-admissible representation. We prove that Turing machine time complexity of a function computable relative to c-admissible c-proper representations has a computable bound on every computable compact subset. We prove that computably compact computable metric spaces have concise c-proper c-admissible representations and show by examples that many canonical representations are of this kind. Finally, we compare our definition with a similar one by Labhalla et al. [22]. Several examples illustrate the concepts. By these results natural and realistic definitions of computational complexity are now available for a variety of numerical problems such as image processing, integration, continuous Fourier transform or wave propagation. (shrink)

Among scholars it is common to assume that Aristotle’s practical syllogism does two jobs. It is often taken to explain both animal motion and human deliberation. I will call this the “two-jobs view of the practical syllogism”. In what follows, I will argue that the two-jobs view of the practical syllogism is not working. I will then try to give a very brief and incomplete sketch of how to conceive of a non-two-jobs view of the Aristotelian practical syllogism. Finally, I (...) will discuss two possible problems for the non-two-jobs view. (shrink)

This article argues that personal meaning should be considered important when addressing issues of learning. It is claimed that meaningful learning is not primarily intra-psychological, as suggested by humanistic psychologists and parts of cognitive psychology, but is an integrated part of the person’s participation in various social practices. Inspired by critical psychology and situated learning, it is suggested that in order to comprehend what people in everyday life experience as meaningful, we have to understand the concerns subjects pursue across different (...) contextual settings and the kind of conduct of everyday life they try to realise. A case example from an ongoing research project about how baker apprentices learn their trade is outlined in order to exemplify some of the theoretical considerations. Two baker apprentices, Peter and Charlotte, are presented to illustrate how they orientate their learning activities in the bakeries according to their future participation in the baking trade and in relation to the conduct of everyday life they wish to pursue. (shrink)

Proceedings of the NATO Advanced Study Institute on Proof and Computation, held in Marktoberdorf, Germany, July 20 - August 1, 1993.

*******Résume en français plus bas****** Karl Kraus’s favourable and conceptually complex comments of the portrait drawings byOskar Kokoschka in 1910 put us on the trail of a host of different phenomena of pictorial representation. Based on close-readings of several aphorisms by Kraus and drawings by Kokoschka, I suggest that there is something like realistic distortion and that the traditional concepts of style cannot account for all essential stylistic variations that are important in pictures. I argue that we need to introduce (...) the concept of subject specific style. This must be distinguished from other concepts such as signature style. I try to show how these conceptual distinctions are connected to the difference in representational range displayed by media that are based on traces, like photography, and by media based on testimony, like drawing or writing. *********** Résumé En 1910, Oskar Kokoschka produit une série de dessins pour la revue expressionniste berlinoise Der Sturm. L’un des portraits représente le satiriste Karl Kraus, un autre l’architecte Adolf Loos. Au même moment, Kraus fait paraître une série d’aphorismes qui commentent le travail de Kokoschka. Kraus part du travail de Kokoschka pour arriver à des principes généraux sur la représentation picturale. Une analyse des réflexions de l’écrivain et des deux dessins faits par Kokoschka nous permet non seulement de mieux comprendre comment un dessin peut saisir le caractère d’un modèle au-delà du physique, mais aussi de forger des concepts pour enrichir les notions de style traditionnelles. Nous soutenons dans notre article qu’il faut introduire l’idée d’un style à l’oeuvre pour compléter les notions de style habituelles.Le style à l’oeuvre peut être spécifique au sujet traité. Nous montrons en particulier comment le dessin permet des distorsions réalistes, difficiles à obtenir dans des médias basés sur la trace comme la photographie. (shrink)

In accordance with the general title, Ricœur's main concern is to develop a philosophy of the will. The overall character of this philosophy is quickly ascertained: as the Introduction makes abundantly clear, Ricœur's thought is firmly rooted in phenomenology. Indeed one might wish to regard this partisanship as Ricœur's motive for choosing the will as his central topic: could his work be an attempt to cope with a problem that has to date resisted satisfactory phenomenological treatment? Husserl's phenomenology is geared (...) to a theoretical, receptive, and perceptual type of subject, and doubts arise as to the practicability of his methodological devices when extended to the will. Although, for a philosopher like Ricœur, Husserl's phenomenological discipline of inspection and description remains an indispensable asset of philosophical method, it seems that, in studying the will, we cannot practice phenomenological reduction, since this would eliminate what is constitutive for willing: an Other opposed to me, something not reducible to mere meaning as posited by consciousness. When Husserl tries to account for willing, he accordingly transforms the phenomenon into an account of value predicates correlated to acts of the subject. (shrink)

Theory of Computation -- Mathematical Logic and Formal Languages.

Being conscious or experiencing the world with all its vivid qualities is something humans intimately cherish. The fact that consciousness provides us with a lively phenomenology is what makes life worth living. Yet, when it comes to understanding how consciousness fits into the natural world, we feel deeply puzzled. In this context, one important claim about consciousness consists in the idea that our awareness is not only about the world but also reveals an intimate subjectivity. This aspect of phenomenal consciousness (...) is often referred to as pre-reflective self-consciousness. It is often held that this type of self-awareness is intrinsic and essential to any form of conscious experience, i.e. there is no conscious experience without also being implicitly self-conscious. Being of such importance to the nature of consciousness, the recent literature mainly discusses two ways of accounting for pre-reflective self-consciousness, its role for conscious experience and how it fits into the natural world. On the one hand, there are relational views; on the other hand, there are non-relational accounts. This paper will argue that both approaches are not sustainable as they stand, since either important aspects are lost or not sufficiently embedded in the natural world. Consequently, I will argue for an alternative that allows for both a functional and an embodied nature of pre-reflective self-consciousness. (shrink)

Hvorfor Rosenzweig og Lévinas? -- Rosenzweigs og Lévinas' kritik af Kierkegaard -- Det enkelte, ensomme, sprogløse selv : Rosenzweigs kritik af Kierkegaard -- Subjektivitetens rent egoistiske protest : Lévinas kritik af Kierkegaard -- Kierkegaard syn på religion og etik -- Den kærliges selvtilintetgørelse : analyse af Kierkegaards Kjerlighedens gjerninger -- Det sublime i det pedestre : analyse af de Silentios Frygt og bæven.

Recent findings suggest impaired motor skill development during infancy in children later diagnosed with autism spectrum disorders (ASD). However, it remains unclear whether infants at high familial risk for ASD would benefit from early interventions targeting the motor domain. The current study investigated this issue by providing 3-month-old infants at high familial risk for ASD with training experiences aimed at facilitating independent reaching. A group of 17 high-risk (HR) infants received 2 weeks of scaffolded reaching experiences using “sticky mittens,” and (...) was compared to 72 low-risk (LR) infants experiencing the same or alternative training procedures. Results indicate that HR infants – just like LR infants – show an increase in grasping activity following “sticky mittens” training. In contrast to LR infants, evidence that motor training encouraged a preference for faces in HR infants was inconclusive. (shrink)

L'article est consacré à la procréation médicalement assistée et aux techniques médicales qui la concernent: les concepts bioéthiques, l'option anthropologique, le dialogue interdisciplinaire et la philosophie de la nature impliqués sont étudiés. Les problèmes concrets du diagnostic préimplantatoire, de la sélection de l'embryon, du clônage, et de la compétence du médecin en matière de conseil sont analysés par l'A.