Continuous recordings of brain electrical activity were obtained from a group of 176 patients throughout surgical procedures using general anesthesia. Artifact-free data from the 19 electrodes of the International 10/20 System were subjected to quantitative analysis of the electroencephalogram (QEEG). Induction was variously accomplished with etomidate, propofol or thiopental. Anesthesia was maintained throughout the procedures by isoflurane, desflurane or sevoflurane (N = 68), total intravenous anesthesia using propofol (N = 49), or nitrous oxide plus narcotics (N = 59). A set (...) of QEEG measures were found which reversibly displayed high heterogeneity of variance between four states as follows: (1) during induction; (2) just after loss of consciousness (LOC); (3) just before return of consciousness (ROC); (4) just after ROC. Homogeneity of variance across all agents within states was found. Topographic statistical probability images were compared between states. At LOC, power increased in all frequency bands in the power spectrum with the exception of a decrease in gamma activity, and there was a marked anteriorization of power. Additionally, a significant change occurred in hemispheric relationships, with prefrontal and frontal regions of each hemisphere becoming more closely coupled, and anterior and posterior regions on each hemisphere, as well as homologous regions between the two hemispheres, uncoupling. All of these changes reversed upon ROC. Variable resolution electromagnetic tomography (VARETA) was performed to localize salient features of power anteriorization in three dimensions. A common set of neuroanatomical regions appeared to be the locus of the most probable generators of the observed EEG changes. (shrink)

Much of the mathematics with which Felix Klein and Sophus Lie are now associated (Klein’s Erlangen Program and Lie’s theory of transformation groups) is rooted in ideas they developed in their early work: the consideration of geometric objects or properties preserved by systems of transformations. As early as 1870, Lie studied particular examples of what he later called contact transformations, which preserve tangency and which came to play a crucial role in his systematic study of transformation groups and differential equations. (...) This note examines Klein’s efforts in the 1870s to interpret contact transformations in terms of connexes and traces that interpretation (which included a false assumption) over the decades that follow. The analysis passes from Klein’s letters to Lie through Lindemann’s edition of Clebsch’s lectures on geometry in 1876, Lie’s criticism of it in his treatise on transformation groups in 1893, and the careful development of that interpretation by Dohmen, a student of Engel, in his 1905 dissertation. The now-obscure notion of connexes and its relation to Lie’s line elements and surface elements are discussed here in some detail. (shrink)

Provability logics with many modal operators for progressions of theories obtained by iterating their consistency statements are introduced. The corresponding arithmetical completeness theorem is proved.

Carole Pearce's argument against African philosophy is founded on a set of factual flaws and the fallacious assumption that African philosophy is equivalent to ethnophilosophy, which she defines as a form of intellectual apartheid founded on irrational belief systems. I argue that African philosophy is in no way qualitatively different from, say, French or Chinese philosophy, and that ethnophilosophy is merely one aspect of it But ethnophilosophy could play the important role of critically evaluating African ethnic belief systems and the (...) interpretation of such by Western anthropologists. In general, African philoso phy is nothing more than the philosophical research (of whatever order) carried out by African philosophers in the context of African research paradigms. (shrink)

A general equation is derived describing the concentration of all possible complexes of a central molecule with a set of ligands bound to the central molecule. This deduction allows the reaction rate constants for the binding of a given molecule to the central molecule to depend on the species of molecules already bound and the location of the molecules already bound. The model thus allows for structural alteration of the central molecule by binding. Functions describing the concentration dependence of any (...) effect whatever depending on the distribution of complexes are deduced. Possible applications and methods of application are indicated.II est dérivé une équation qui décrit la concentration des toutes les complexes d'une molécule centrale avec une collection de ligands connectés à la molécule centrale. La déduction montre comme les coefficients de la rapidité de reaction entre la molécule centrale et les molécules de la collection dépend de l'espèce et de la location des molécules déjà connectées.La modèle dérivée de l'équation montre les changements structurelles par la connection. Les functions qui décrivent la dependence de chaque effet à la concentration, sont dérivés. Ces effects dépendent aussi à la distribution des complexes. Des applications et des méthodes sont indiqués.Eine allgemeine Vergleichung hat man bekommen welche die Konzentration aller möglichen Komplexen eines zentralen Moleküles mit einer Reihe von „Ligands” verbunden mit dem zentralen Molekül beschreibt. Diese Folgerung gestattet dass die Reaktiongeschwindigkeit Konstanten für die Bindung eines gegebenen Moleküles mit dem zentralen Molekül abhÄngt von den Arten schon gegebenen Molekülen und die Ortsbestimmung der schon gebundenen Molekülen. Das Model zeigt die strukturelle Änderungen des zentralen Moleküls durch Bindung. Funktionen, die die Konzentrationband jedes Effektes beschreiben dass abhÄngt von der Distribution der Komplexen, sind abgeleitet.Mögliche Anwendungen und Methoden von Anwendung sind dargelegt. (shrink)

L. D. Harris; IV*—Solving the “Naval Battle”, Proceedings of the Aristotelian Society, Volume 78, Issue 1, 1 June 1978, Pages 45–62, https://doi.org/10.1093/ari.

L. D. Harris; IV*—Solving the “Naval Battle”, Proceedings of the Aristotelian Society, Volume 78, Issue 1, 1 June 1978, Pages 45–62, https://doi.org/10.1093/ari.

1. 4. 9. Fugite delicias, fugite enervantem felicitatem, qua animi permadescunt et, nisi aliquid intervenit quod humanae sortis admoneat, †velut perpetua ebrietate sopitif†. Although it is possible to produce a tolerable sentence by deleting et after permadescunt, it is generally agreed that a verb is missing in the last clause. Koch suggested sopiti, Gertz sopiti (...) manent Hermes, vivunt Schultess, languent Viansino. One would hesitate to add to the growing clutter of suggestions, did not one of Seneca's favourite verbs seem to meet all requirements, namely marcent. Cf. ben. 4. 6. 3 ‘quies in qua putrescis ac marces’; 4. 13. 1 ‘vobis voluptas est… securitatem sopitis simillimam adpetere e t … animi marcentis oblectare torporem’; dial. 1. 3. 10 ‘hunc voluptatibus marcidumet felicitate nimia laborantem’; 9. 2. 6; 10. 2. 2; epist. 74. 1; 89. 18 et al. (shrink)

The manuscript tradition of Seneca's Dialogues consists of one eleventhcentury manuscript, Ambrosianus C 90 inf. , which is the main source for the text, and a ruck of later manuscripts of lesser and disputed worth. There are over a hundred of these, far more than has been supposed.

The manuscript tradition of Seneca'sDialoguesconsists of one eleventhcentury manuscript, Ambrosianus C 90 inf., which is the main source for the text, and a ruck of later manuscripts of lesser and disputed worth. There are over a hundred of these, far more than has been supposed.

Upshot: Conversational conferences are difficult to design in a way that avoids the consequences that arise when participants are not experienced with or fully value the conversational mode of interaction. So, the designers of such conferences must experiment with ways to build a culture, use a structure, and facilitate participation that might mitigate some of these consequences. The potential of the experimental conference designed in the light of second-order cybernetics lies, in part, in the prospect of identifying and acquiring the (...) conversational abilities and appreciations necessary to support a participative-dialogic society. (shrink)

Purpose: This paper intends to connect ideas from the radical constructivist approach to cognition and learning to ideas from the constraint-theoretic approach to social policy formulation. It then extends these ideas to a dialogic approach to social transformation and design. Method: After demonstrating a correspondence between von Glasersfeld's fit/match distinction and my constraint-oriented/goal-oriented distinction with respect to policy formulation, the paper evaluates the basic assumptions of radical constructivism and builds from them a framework for thinking and talking about a desirable (...) society and ways to participate in its realization. Findings: The ideas of von Glasersfeld's radical constructivism contribute significantly to the development of a conceptual base for applied research on social activism by raising new questions and stimulating new thinking. Practical implications: Social activism in everyday affairs can be a way of living in the "world." Conclusion: The work and thought of Ernst von Glasersfeld opens a path toward a rich array of concepts and ideas with the potential to inform efforts in a wide variety of human endeavors. (shrink)

Open peer commentary on the article “The Banathy Conversation Methodology” by Gordon Dyer, Jed Jones, Gordon Rowland & Silvia Zweifel. Upshot: The Banathy Conversation Methodology offers an approach to organizing and facilitating conversation groups among individuals self-identified as interested in a particular topic. As someone who would like to see more conversation integrated into academic conferences, I propose two extensions of BCM for consideration by the authors: one is an extension to the theoretical underpinnings, namely the conversation theory of Gordon (...) Pask, and the other is an extension to the tools and techniques, namely the group syntegration process developed by Stafford Beer. If the authors do not like the direction these extensions might take BCM, I would be interested in their assessment of the circumstances under which alternative approaches to conversation groups might be more or less useful. (shrink)

Context: A tension exists between the needs and desires of the institutions providing the funding for academics to attend conferences and the potential for transforming the knowledge and understanding of conference participants - than in advancing their own careers and celebrity. Approaches to the problem can recognize the importance of funding and career-building in the current society, while still experimenting in ways that could generate new ideas. Method: Ideas from second-order cybernetics are used to derive design principles that might alleviate (...) the tension and encourage deep conversations, idea generation and experimentation. The author draws on experiences with designing, organizing and participating in cybernetics conferences over a period of 34 years. Results: An academic conference designed to a set of broad, second-order cybernetic principles, where participants are informed of the design intent before they decide to attend, can open an opportunity for learning, understanding and the creation of new ideas in ways that would not otherwise be available. Although there are no guarantees, such designs can attenuate the tension, often experienced at traditionally designed conferences, between advancing individual careers/celebrity and building new knowledge together. Implications: The design principles derived, already exhibited in some conferences, could be useful to organizers wishing to foster incompatible and opposing ideas and facilitate dialogue among conference participants. These same principles have implications for the design of other social systems and point to the possibility of a new and more humane society. Constructivist content: A feature of second-order cybernetics is that knowledge is continually changing as our desires change, and we must take responsibility for the consequences of the ideas we construct and use to satisfy our desires. Key Words: Design by constraint, dynamics of interaction, asynchronicity, tyranny of the clock, times of truth, moments of art. (shrink)

Open peer commentary on the article “A Cybernetic Approach to Contextual Teaching and Learning” by Philip Baron. Upshot: The idea of personal, customized education has been around for a while, and few disagree that it would be superior to what we have now in most public education systems worldwide. So, the questions are: Why has it not been more broadly implemented? And what would it take to make it the dominant approach to education?

Open peer commentary on the article ““Black Box” Theatre: Second-Order Cybernetics and Naturalism in Rehearsal and Performance” by Tom Scholte. Upshot: Scholte proposes using the theatre as a laboratory for experimenting with ideas in second-order cybernetics, adding to the repertoire of approaches for advancing this way of thinking. Second-order cybernetics, as art, science and craft, raises questions about the forms of experimentation most useful in such a laboratory. Theatre provides an opportunity to “play” with the dynamics of human interactions and (...) relations and possibly demonstrate value in second-order cybernetic thinking. (shrink)