The literature on quantum logic emphasizes that the algebraic structures involved with orthodox quantum mechanics are non distributive. In this paper we develop a particular algebraic structure, the quasi-lattice ( $${\mathfrak{I}}$$ -lattice), which can be modeled by an algebraic structure built in quasi-set theory $${\mathfrak{Q}}$$. This structure is non distributive and involve indiscernible elements. Thus we show that in taking into account indiscernibility as a primitive concept, the quasi-lattice that ‘naturally’ arises is non distributive.

The Unified Foundational Ontology (UFO) was developed over the last two decades by consistently putting together theories from areas such as formal ontology in philosophy, cognitive science, linguistics, and philosophical logics. It comprises a number of micro-theories addressing fundamental conceptual modeling notions, including entity types and relationship types. The aim of this paper is to summarize the current state of UFO, presenting a formalization of the ontology, along with the analysis of a number of cases to illustrate the application of (...) UFO and facilitate its comparison with other foundational ontologies in this special issue. (The cases originate from the First FOUST Workshop – the Foundational Stance, an international forum dedicated to Foundational Ontology research.). (shrink)

Summary The present work focuses on the transformations of the psychotherapeutic field through the relationship dynamics which occur within it. The first part of this article starts with a brief outline of the Gestalt psychological understanding of the field concept, also in its application to the psychotherapeutic situation, followed by a brief review of the introduction of the field concept into the psychoanalytic theory formation. After this, the first author first presents the theoretical concept underlying a new approach he has (...) developed for observing the relationship dynamics in psychotherapy. Mirroring a formation of both psychoanalytic and Gestalt theory of the main author, this new approach is based on the combination of psychoanalytic and Gestalt psychological concepts. According to the clinical experience and insights of the author, the phenomenological and relational approach of Gestalt theory fits well with the psychoanalytic approach; on this basis, a criterion for recording the progress of therapy can be developed. This criterion is the phenomenology of the development of the qualities of the relationships of the client, as they become visible in his dream narrations and the subsequent associations in the analysis room and continue to develop during the session and the further course of therapy. The relationship dynamics in the dream narration is thus compared with those which develop in the course of the subsequent associations. This is demonstrated and further elaborated in the second part of this article on the basis of a clinical case. The clinical example shows how the relationship dynamics develop in this sense in the individual therapy sessions and over a longer course of therapy. The associated transformations of the therapeutic field give a good indication of the progress of therapy. The main author gained such insights into the transformations of the therapeutic field and the progression of therapy, which are visible in the course of therapy, from the careful application of the criterion “MDAC of relational dynamics”. In the specific case, there was also a high degree of correspondence between the results of the application of this phenomenological criterion and the empirical evidence of the symptom questionnaire, a self-report measure requested by the patient himself during the course of the therapy. (shrink)

Concepts are the building blocks of higher-order cognition and consciousness. Building on Conceptual Spaces Theory (CST) and proceeding from the assumption that concepts are inherently dynamic, this paper provides historical context to and significantly elaborates the previously offered Iterative Subdivision Model (ISDM) with the goal of pushing it toward empirical testability. The paper describes how agents in continuous interaction with their environment adopt an intentional orientation, estimate the utility of the concept(s) applicable to action in the current context, engage in (...) practical action, and adopt any new concepts that emerge: a largely pre-intellectual cycle that repeats essentially without interruption over the conceptual agent’s lifetime. This paper elaborates utility optimization by establishing three constraints on concept formation/evaluation – non-redundancy, distinctiveness, and proportionality – embedding them in a quasi-mathematical model intended for development into a formal logic. The notion of a distinctor – a quality dimension of the conceptual space in focus at any given time, used for making what we call a difference distinction – is key. The primary contribution of the revised ISDM is the way it relates concepts to action via utility optimization/actualization and the way it describes the emergence of quality dimensions through trial-by-action (trial and error), something previous presentations of CST have failed to address. (shrink)

Der vorliegende Sammelband analysiert die diversen Formen einer ideologisch motivierten Instrumentalisierung von Meister Eckharts Mystik in der Zeit des Nationalsozialismus und bietet darüber hinaus auch ganz neues, bislang noch unveröffentlichtes Quellenmaterial zu den institutionellen Hintergründen der Eckhart-Rezeption im Dritten Reich. This volume analyses the various forms of ideological instrumentalization Meister Eckhart’s mysticism has been subject to during the era of National Socialism. Furthermore, the volume includes hitherto unpublished source material concerning the institutional background of Eckhart’s reception in the Third Reich.

Summary The present work focuses on the transformations of the psychotherapeutic field through the relationship dynamics that occur within it. The first part of this article starts with a brief outline of the Gestalt psychological understanding of the field concept, also in its application to the psychotherapeutic situation, followed by a brief review of the introduction of the field concept into the psychoanalytic theory formation. After this, the first author first presents the theoretical concept underlying a new approach he has (...) developed for observing the relationship dynamics in psychotherapy. Mirroring a formation both psychoanalytic and gestaltic of the main author, this new approach is based on the combination of psychoanalytic and Gestalt psychological concepts. According to the clinical experience and insights of the author, the phenomenological and relational approach of Gestalt theory fits well with the psychoanalytic approach; on this basis, a criterion for recording the progress of therapy can be developed. This criterion is the phenomenology of the development of the qualities of the relationships of the client, as they become visible in his dream narrations and the subsequent associations in the analysis room, and continue to develop during the session and the further course of therapy. The relationship dynamics in the dream narration is thus compared with those that develop in the course of the subsequent associations. This is demonstrated and further elaborated in the second part of this paper on the basis of a clinical case. The clinical example shows how the relationship dynamics develop in this sense in the individual therapy sessions and over a longer course of therapy. The associated transformations of the therapeutic field give a good indication of the progress of therapy. The main author gained such insights into the transformations of the therapeutic field and the progression of therapy, which are visible in the course of therapy, from the careful application of the criterion “manifest dream/associations comparison of relational dynamics”. In the specific case, there was also a high degree of correspondence between the results of the application of this phenomenological criterion and the empirical evidence of the symptom questionnaire, a self-report measure requested by the patient himself during the course of the therapy. (shrink)

This article aims at proposing the construct of living and working together in organizations as an interpretation and tool proposed in a Juvenile Criminal Mediation Service, in order to highlight how important it was as a turning point in activating the working group's reflexive function as far as their sense of belonging, otherness, culture of diversity, and work subject matter are concerned and start an important transformation process in the very service delivery. Our proposal finds its roots in a follow-up (...) experience regarding the aforementioned service, which has been taking place for almost three years. It was structured in three different phases: a research phase evaluating process and results of the activity that was carried out; a phase of monitoring the mediation practice; a research-action phase in a clinical perspective on the working group's operating mode. The leverage of living and working together in organizations is specifically proposed as far as this last working phase is concerned, las... (shrink)

Types are fundamental for conceptual modeling and knowledge representation, being an essential construct in all major modeling languages in these fields. Despite that, from an ontological and cognitive point of view, there has been a lack of theoretical support for precisely defining a consensual view on types. As a consequence, there has been a lack of precise methodological support for users when choosing the best way to model general terms representing types that appear in a domain, and for building sound (...) taxonomic structures involving them. For over a decade now, a community of researchers has contributed to the development of the Unified Foundational Ontology (UFO) - aimed at providing foundations for all major conceptual modeling constructs. At the core of this enterprise, there has been a theory of types specially designed to address these issues. This theory is ontologically well- founded, psychologically informed, and formally characterized. These results have led to the development of a Conceptual Modelling language dubbed OntoUML, reflecting the ontological micro-theories comprising UFO. Over the years, UFO and OntoUML have been successfully employed on conceptual model design in a variety of domains including academic, industrial, and governmental settings. These experiences exposed improvement opportunities for both the OntoUML language and its underlying theory, UFO. In this paper, we revise the theory of types in UFO in response to empirical evidence. The new version of this theory shows that many of OntoUML’s meta-types (e.g. kind, role, phase, mixin) should be considered not as restricted to substantial types but instead should be applied to model endurant types in general, including relator types, quality types, and mode types. We also contribute with a formal characterization of this fragment of the theory, which is then used to advance a new metamodel for OntoUML (termed OntoUML 2). To demonstrate that the benefits of this approach are extended beyond OntoUML, the proposed formal theory is then employed to support the definition of UFO-based lightweight Semantic Web ontologies with ontological constraint checking in OWL. Additionally, we report on empirical evidence from the literature, mainly from cognitive psychology but also from linguistics, supporting some of the key claims made by this theory. Finally, we propose a computational support for this updated metamodel. (shrink)

A groundbreaking text for the account of the problem of evil in German idealism. Here is a brief review for the German audience.