German; one contribution each in English and French.

What constitutes our number concept? What makes it possible for us to employ numbers the way we do; which mental faculties contribute to our grasp of numbers? What do we share with other species, and what is specific to humans? How does our language faculty come into the picture? This 2003 book addresses these questions and discusses the relationship between numerical thinking and the human language faculty, providing psychological, linguistic and philosophical perspectives on number, its evolution and its development in (...) children. Heike Wiese argues that language as a human faculty plays a crucial role in the emergence of systematic numerical thinking. She characterises number sequences as powerful and highly flexible mental tools that are unique to humans and shows that it is language that enables us to go beyond the perception of numerosity and to develop such mental tools. (shrink)

We consider morphisms between binary relations that are used in the theory of cardinal characteristics. In [8] we have shown that there are pairs of relations with no Borel morphism connecting them. The reason was a strong impact of the first of the two functions that constitute a morphism, the so-called function on the questions. In this work we investigate whether the second half, the function on the answers' side, has a similarly strong impact. The main question is: Does the (...) nonexistence of a Borel morphism imply the non-existence of a morphism that is only Borel on the answers' side? We give sufficient conditions for an affirmative answer. The results are applied to the unsplitting relations where it has been open whether there is a morphism that is Borel on the answers' side. (shrink)

Poetisierende Musikbeschreibungen werden von der Wissenschaft, von Musikern und Konzertbesuchern heute mehr belächelt als ernst genommen. Durch das Ansprechen von Einbildungskraft und Gefühl haben sie aber eine Unmittelbarkeit, die der kompositionstechnischen Analyse in der Regel fehlt. Die Wurzeln einer metaphorischen Musikbeschreibung um die Wende zum 19. Jahrhundert sind dabei gleichermaßen historisch wie systematisch zu fassen. Zahlreiche Zitate aus den Fachzeitschriften bis zur Jahrhundertmitte dokumentieren die Herausbildung eines festumrissenen Bildervorrats, um musikalische Eindrücke zur Sprache zu bringen. Der kreative Umgang mit Beschreibungskonventionen (...) ist für die Musikkritiken von E.T.A. Hoffmann, Adolf Bernhard Marx, Ludwig Rellstab und vor allem Robert Schumann kennzeichnend. (shrink)

We show that it is independent whether club $\kappa $ -Miller forcing preserves $\kappa ^{++}$. We show that under $\kappa ^{ \kappa $, club $\kappa $ -Miller forcing collapses $\kappa ^{<\kappa }$ to $\kappa $. Answering a question by Brendle, Brooke-Taylor, Friedman and Montoya, we show that the iteration of ultrafilter $\kappa $ -Miller forcing does not have the Laver property.

This book offers a compelling examination of our moral and epistemic obligations to be reasonable people who seek to understand the social reality of those who are different from us. Considering the oppressive aspects of socially constructed ignorance, Heikes argues that ignorance produces both injustice and epistemic repression, before going on to explore how our moral and epistemic obligations to be understanding and reasonable can overcome the negative effects of ignorance. Through the combination of three separate areas of philosophical interest- (...) ignorance, understanding, and reasonableness- Heikes seeks to find a way to correct for epistemological and moral injustices, satisfying needs in feminist theory and critical race theory for an epistemology that offers hope of overcoming the ethical problem of oppression. (shrink)

The article explores the underlying reasons for patients’ self‐perception of being a burden (SPB) in family settings, including its impact on relationships when wishes to die (WTD) are expressed. In a prospective, interview‐based study of WTD in patients with advanced cancer and non‐cancer disease (organ failure, degenerative neurological disease, and frailty) SPB was an important emerging theme. In a sub‐analysis we examined (a) the facets of SPB, (b) correlations between SPB and WTD, and (c) SPB as a relational phenomenon. We (...) analyzed 248 interviews with 62 patients, their family caregivers, and professionals using grounded theory and interpretive phenomenological analysis. SPB appeared as important empathic concern in care situations. Patients expressed many sorts of concerns for others, but also perceived an altered self‐understanding that did not meet mutual expectations within relationships. In SPB associated with WTD three constellations were found: (a) WTD to unburden others; (b) patients decided against hastening death to prevent being a further burden to others (in these cases, the SPB counteracted the wish to die); and (c) both wishes for and against dying were sustained by SPB. These patients often felt paralyzed and suffered deeply. Family caregivers felt emotionally touched by SPB and tried to unburden patients by caring and compassion. We concluded that the impact of SPB on a WTD and the various meanings the facets of SPB have in balancing relationships need to be worked out individually. An early palliative and narrative approach is warranted. (shrink)

In this article, we develop the concept of Transparency by Design that serves as practical guidance in helping promote the beneficial functions of transparency while mitigating its challenges in automated-decision making environments. With the rise of artificial intelligence and the ability of AI systems to make automated and self-learned decisions, a call for transparency of how such systems reach decisions has echoed within academic and policy circles. The term transparency, however, relates to multiple concepts, fulfills many functions, and holds different (...) promises that struggle to be realized in concrete applications. Indeed, the complexity of transparency for ADM shows tension between transparency as a normative ideal and its translation to practical application. To address this tension, we first conduct a review of transparency, analyzing its challenges and limitations concerning automated decision-making practices. We then look at the lessons learned from the development of Privacy by Design, as a basis for developing the Transparency by Design principles. Finally, we propose a set of nine principles to cover relevant contextual, technical, informational, and stakeholder-sensitive considerations. Transparency by Design is a model that helps organizations design transparent AI systems, by integrating these principles in a step-by-step manner and as an ex-ante value, not as an afterthought. (shrink)

We show: The procedure mentioned in the title is often impossible. It requires at least an inner model with a measurable cardinal. The consistency strength of changing b and d from a regular κ to some regular δ < κ is a measurable of Mitchell order δ. There is an application to Cichon's diagram.

We prove that there is no Borel connection for non-trivial pairs of unsplitting relations. This was conjectured in [3].

We show that there are proper forcings based upon countable trees of creatures that specialise a given Aronszajn tree.

We show that there may be a Milliken-Taylor ultrafilter with infinitely many near coherence classes of ultrafilters in its projection to ω, answering a question by López-Abad. We show that k -colored Milliken-Taylor ultrafilters have at least k +1 near coherence classes of ultrafilters in its projection to ω. We show that the Mathias forcing with a Milliken-Taylor ultrafilter destroys all Milliken-Taylor ultrafilters from the ground model.

Heikes challenges Enlightenment rationality's tendency to be an achievement concept which excludes non-whites and non-males. She examines post-Cartesian criticisms of modernism, and pre-modern efforts to address the functional diversity of human cognition, arguing that such approaches offer a rationality that is diverse and morally substantive.

We show that the Filter Dichotomy Principle implies that there are exactly four classes of ideals in the set of increasing functions from the natural numbers. We thus answer two open questions on consequences of ? < ?. We show that ? < ? implies that ? = ?, and that Filter Dichotomy together with ? < ? implies ? < ?. The technical means is the investigation of groupwise dense sets, ideals, filters and ultrafilters. With related techniques we prove (...) the new inequality ?≤ cf(?). (shrink)

We prove that for [Formula: see text] and [Formula: see text] there is a forcing extension with exactly n near-coherence classes of non-principal ultrafilters. We introduce localized versions of Matet forcing and we develop Ramsey spaces of names. The evaluation of some of the new forcings is based on a relative of Hindman’s theorem due to Blass 1987.

Long description: Welche Triebkräfte und Möglichkeitsräume gesellschaftlicher Veränderung verbinden sich mit den Dynamiken des modernen Kapitalismus? Tino Heims breit angelegte Studie zielt auf die Überwindung analytischer Defizite der jüngsten Kapitalismusdebatte. In einer theoriesystematischen Verknüpfung und gegenstandsbezogenen Weiterentwicklung der Analyseraster von Marx, Foucault und Bourdieu - die auch als Kritik dominanter Rezeptionslinien antritt - werden zentrale kapitalistische Funktionslogiken und Krisendynamiken ebenso prägnant analysiert wie historische Transformationen konkreter Modi kapitalistischer Vergesellschaftung. Damit wird zugleich ein Beitrag zur Neubestimmung einer analytisch-kritischen Sozialwissenschaft jenseits normativer (...) Sozialkritik geleistet. (shrink)

We construct creature forcings with strong Axiom A that specialize a given Aronszajn tree. We work with tree creature forcing. The creatures that live on the Aronszajn tree are normed and have the halving property. We show that our models fulfill ℵ1=d

Set Theory in Philosophy of Mathematics

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Ever since Schopenhauer´s accusation, it has been disputed whether Kant´s few remarks concerning the ethical human-animal-relationship in the Lectures and in the Doctrine of Virtue fail to support ethical arguments on behalf of animals. One critique that plays a central role is whether Kant would have forbidden cruelty to brutes for educational purposes. In addition to these old objections, Kant´s ethics is charged to be speciesistic by animal ethicists and animal rights philosophers at present.The following article examines especially §17 of (...) the Doctrine of Virtue, which is the only animal ethical text authorized by Kant himself. The interpretation starts by taking the context of §17 into account, particularly the “Episodic Section on an Amphiboly in Moral Concepts”. The systematic output of the cruelty-account and of the duty classes is then analyzed. Central for the understanding of Kant´s argumentation relating to animals are the perfect duties to oneself, which are linked to Kant´s foundation of human dignity. Finally the roles of the physical and emotional needs of brutes and humans in Kant´s ethics are compared with each other. Some conclusions are then drawn concerning human and animal rights in relation to a duty-based argumentation. The article therefore appreciates Kant´s integration of animal suffering into the very core of his virtue ethics, an integration that may be able to open the door for an enlightened animal ethics based on human responsibility. (shrink)

›Kreatur‹ und ›Geschöpf‹ sind wie creatio theologische Reflexionsbegriffe, die sich auf die in der hebräischen Bibel narrativ und hymnisch gefassten mythischen Ursprungsvorstellungen von Welt und Mensch beziehen. »Kreaturwürde«, »geschöpfliche Würde« und ›Mitgeschöpflichkeit‹ sind neuzeitliche schöpfungstheologische Fortbildungen, die zu Grundbegriffen einer christlichen Ethik der Mensch-Tier/Natur-Beziehung geworden sind. Während ›Mitgeschöpf‹ eine pietistische Prägung des ausgehenden 18. Jahrhunderts ist, wurde ›Mitgeschöpflichkeit‹ von dem evangelischen Theologen Fritz Blanke als »Gegenstück zur Mitmenschlichkeit« entwickelt. Die Begriffe ›Würde der Kreatur‹ und ›Tier als Mitgeschöpf‹ haben im letzten (...) Drittel des 20. Jahrhunderts Einzug in deutschsprachiges Tierschutzrecht gefunden. (shrink)

Das Verrohungsargument, engl. crueltyaccount, ist in der neuzeitlichen Tierschutzethikdiskussion beheimatet. Es behauptet ein gewalttätiges Handeln an Menschen als Konsequenz aus einem vorgängigen gewalttätigen Handeln an Tieren. Es kann in folgende syllogistische Form gebracht werden: Deskriptive Prämisse : Wer Tiere quält, der quält früher oder später auch Menschen. Präskriptive Prämisse: Menschen zu quälen, ist moralisch verwerflich! Schlussfolgerung: Deshalb ist es moralisch verwerflich, Tiere zu quälen!

We discuss other recent studies on the acquisition of the German plural that do not support the dual-mechanism model. The attested overgeneralizations are not by default only, nor completely random, but predictable from subregularities based on the grammatical gender and the phonology of the noun. In addition, the dual-mechanism model creates a number of problems for acquisition (theory) rather than solving existing ones.

Zeitgleich mit Cassirers erstem Band der „Philosophie der symbolischen Formen“ erscheint mit der „Einheit der Sinne. Grundlinien einer Ästhesiologie des Geistes“ das frühe, weithin unbemerkt gebliebene Hauptwerk Helmuth Plessners. Um Plessners schwieriges Werk in seiner Originalität und darin in seiner Aktualität sichtbar zu machen, werden beide Werke als kulturphilosophische ‚Parallelaktion‘ rekonstruiert, der es darum geht, systematisch die Spannweite der menschlichen Symbolwelten zwischen Mythos bzw. Kunst auf der einen, Wissenschaft auf der anderen Seite zu erschließen.

Philosophy today is undergoing a transformation away from modernism. The problem is that it is far from clear what this transformation is moving toward. I examine the transition from the premodern to the modern philosophical world and contrast it with our current situation. While the moderns were clear in their rejection of Aristotelian scholasticism and sure of their methods, in our own time we are neither clear about the extent to which we reject modernism nor our methodology moving forward. I (...) argue that the uncertainty of the postmodern philosophical world is, in an important sense, a necessary consequence of the rejection of modernism itself. (shrink)

Die begriffliche Unterscheidung von Natur und Kultur sowie die Deutung von Kultur als einer zweiten Natur des Menschen sind von systematischer Bedeutung für die Kulturtheorie Georg Simmels. Um den Nebensinn der zweiten Natur als einer bloßen Gewohnheit, die man auch ablegen könnte, nicht zu evozieren, verwendet Simmel selbst den Ausdruck zweite Natur nicht, bewegt sich aber in einer bestimmten Theorietradition, die diesen auf Cicero zurückgehenden Ausdruck programmatisch adaptiert. Von einer Theorie des objektiven Geistes in der Nachfolge von Moritz Lazarus ausgehend, (...) entwickelt Simmel eine Kulturphilosophie, in deren Zentrum die Frage nach dem Verhältnis zwischen dem individuellen Lebensvollzug des Einzelnen und den ihn umgebenden und herausfordernden kulturellen Objektivationen steht. (shrink)

We consider a version of \-Miller forcing on an uncountable cardinal \. We show that under \, \, and forcing with \\) collapses \ to \.

We show that many countable support iterations of proper forcings preserve Souslin trees. We establish sufficient conditions in terms of games and we draw connections to other preservation properties. We present a proof of preservation properties in countable support iterations in the so-called Case A that does not need a division into forcings that add reals and those who do not.

There are inequalities between cardinal characteristics of the continuum that are true in any model of ZFC, but without a Borel morphism proving the inequality. We answer some questions from Blass [1].

Exploring the history of the concept of 'rationality', Deborah K. Hakes argues that feminism should seek to develop a virtue theory of rationality.