In this paper we bring together results from a series of previous papers to prove the constructive version of the Gelfand duality theorem in any Grothendieck topos , obtaining a dual equivalence between the category of commutative C*-algebras and the category of compact, completely regular locales in the topos.

Name der Zeitschrift: Semiotica Jahrgang: 2015 Heft: 204 Seiten: 291-313.

This note shows that for the proof of the existence and uniqueness of the algebraic closure of a field one needs only the Boolean Ultrafilter Theorem.

In the present note we give a direct deduction of the Axiom of Choice from the Maximal Ideal Theorem for commutative rings with unit.

It is shown in Zermelo-Fraenkel Set Theory that Cκ, the Axiom of Choice for κ-indexed families of arbitrary sets, is equivalent to the condition that the frame envelope of any κ-frame is κ-Lindelöf, for any cardinal κ.

It is shown for an arbitrary topos that the Law of the Excluded Middle holds in its propositional logic iff it satisfies the limited choice principle that every epimorphism from 2 = 1 ⊕ 1 splits.

In den USA ist die anthropologische, ethnographische und philosophische Diskussion uber posthumanes Menschsein in vollem Gange, in Deutschland eher verhalten.

This article is based on German and Japanese sources and shows how around 1900 European psychiatric concepts and practices embedded themselves into emerging scientific Japanese discourses. The article argues that now forgotten German–Japanese exchanges in the field of psychiatric pathology, together with the historical development of psychiatric care, were central mechanisms for the establishment of a distinctly psychiatric discourse in Japan prior to its broad institutionalization. Three discursive strategies were key: Japanese and German experts from a range of medical fields (...) reinvented a body of traditions loosely related to actual pre-modern cultural practices; they engaged in comparative evaluations of psychiatric conditions; and, through the simple but effective transformation of specific concepts and termini at the margins of European psychiatry, these experts contributed to the transfer not only of a psychiatric discourse but also affected the power relations on a national and international scale as European psychiatry permeated into new territory, namely the Japanese landscape of emerging modern scientific disciplines. (shrink)

Das Thema Leib ist langst nicht mehr nur auf die traditionelle phanomenologische Forschung beschrankt. Das leibliche Sein betrifft vielmehr die Situation des Menschen an sich. Die Anthropologie des 20. Jh. bedarf angesichts der Ergebnisse der Ethologie, der Genomforschung und der Neurowissenschaften einer Revision. Die hier formulierte Version einer empirisch orientierten transklassischen Phanomenologie thematisiert den menschlichen Leib philosophisch neu und begrundet so eine leiborientierte Anthropologie fur das 21. Jahrhundert. Kern dieser Anthropologie ist nicht eine biologische Definition, sondern das leibliche In-der-Welt-Sein des (...) Menschen. Dieses leibliche Sein definiert sich durch die Fahigkeit, mit sich selbst, mit anderen und mit der Natur angemessen umgehen zu konnen. (shrink)

We further develop a previously introduced method of constructing forcing notions with the help of morasses. There are two new results: (1) If there is a simplified (ω 1 , 1)-morass, then there exists a ccc forcing of size ω 1 that adds an ω 2 -Suslin tree. (2) If there is a simplified (ω 1 , 2)-morass, then there exists a ccc forcing of size ω 1 that adds a 0-dimensional Hausdorff topology τ on ω 3 which has spread (...) s(τ) = ω 1 . While (2) is the main result of the paper, (1) is only an improvement of a previous result, which is based on a simple observation. Both forcings preserve GCH. To show that the method can be changed to produce models where CH fails, we give an alternative construction of Koszmider's model in which there is a chain 〈X α | α < ω 2 〉 such that X α ⊆ ω 1 , X β — X α is finite and X α — X β has size ω 1 for all β < α < ω 2. (shrink)

This volume introduces a model of the human physical mind that puts the concept of competence at the center of its analysis, constructing a post-positivistic, postmodern and post-analytic philosophy of the human mind that combines empirical-instrumental phenomenology and neo-hermeneutics. German text. Contents: Die Neurowissenschaften: Topographie des menschlichen Gehirns und die Architektur des menschlich-leiblichen Geistes - Cognitive Science: Unterschiede maschineller und menschlicher Intelligenz - Explizite psychisch-geistige Kompetenzen: Erfahrung, Erinnerung,Wissen, Bewusstsein - Freiheit, Handlungskompetenz und Selbsterkenntnis: leiblicher Geist und menschliche Personlichkeit.

In L’institution, la passivité. Notes de cours au Collège de France (1954-1955), Maurice Merleau-Ponty develops approaches to a concept of the unconscious that can also be relevant to a mental philosophy from the perspective of cognitive science and AI in the tradition of continental philosophy. I consider this all the more important as previous attempts at an analytical philosophy of AI tend to remain stuck in Cartesian or Platonic dualism, which – as a dream of Silicon Valley – could encourage (...) gnostic thinking (Irrgang 2021). (shrink)

O presente artigo parte da ideia de que o conceito conservativo-conservador de sustentabilidade (das florestas, por exemplo) deve ser combinado com a ideia inovadora do ponto de vista tecnológico-económico de desenvolvimento sustentável de modo a formar uma ideia reguladora de desenvolvimento sustentável de acordo com um modelo aberto. O artigo defende que o desenvolvimento tecnológico pode do ponto de vista cultural e institucional ser organizado de uma forma mais sustentável, muito embora a sustentabilidade não tenha ainda sido alcançada tanto do (...) ponto de vista global como do regional Para o autor do artigo, o conceito de desenvolvimento sustentável não é umo ideologia, muito embora a mera consideração anti-capitalista do problema da protecção do ambiente seja passivel de ser considerada ideológica. Segundo o artigo, a protecção da sobrevivencia não deve ser vista em oposição ao desenvolvimento sustentável, antes sim como um ponto de partida para a busca de estratégias e caminhos de sustentabilidade no desenvolvimento. Uma ética do futuro tampouco constitui modelo unilateral relativo às questões de etica ambiental. Segundo o autor, porém, todos os componentes do modelo de desenvolvimento sustentdvel tornados em conjunto resultam numa heuristica de busca pragmáticamente suficiente e adequada para todo e qualquer processo de desenvolvimento sustentável. /// The conservative-conserving concepts of sustainability (offorestry, f. e.) should be combined with the innovative technological-economical idea of sustainable development to a regulative idea of sustainable development according to an open model. Technological development could institutionally-culturally be organised in a more sustainable way, even though sustainability has neither globally nor regionally been reached yet. The concept of sustainability is no ideology, while a simple anticapitalistic view of the conservation problem appears to be ideological itself. Protection of survival is not to be seen as an opposition to sustainable development, but as a starting point of search-strategies for paths of sustainable development. Future-Ethics is also not an explicit search-pattern for questions of ecological ethics. The combined components of the model of sustainable development result in a pragmatically sufficient Search-Heuristics for sustainable development. (shrink)

Anhand der Bearbeitungen zweier Opernstoffe möchte der Aufsatz zu einer Neubewertung der barocken Opernlibretti anregen. Die enge Verbindung zwischen Musik- und Sprechtheater in der Barockzeit sowie die Veränderungen in bezug auf Affektdarstellung, Rollenspiel, komische Figur und Bühnenbild werden im Hinblick auf den Wandel vom höfischen zum bürgerlichen Normensystem interpretiert. The function of baroque opera libretti is illustrated by comparing different versions of two operatic plots. The close links between musical and spoken drama in the baroque period, as well as the (...) differences in the expression of passions, role-playing, comic characters and stage sets are interpreted in the context of the process in which a courtly set of norms was supplanted by a bourgeois one. (shrink)