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)

In their paper, “Helpful Lessons and Cautionary Tales: How Should COVID-19 Drug Development and Access Inform Approaches to Non-Pandemic Diseases?” Holly Fernandez Lynch and colleagues have present...

Scepticism about ought simpliciter is the view that there is no such thing as what one ought simpliciter to do. Instead, practical deliberation is governed by a plurality of normative standpoints, each authoritative from their own perspective but none authoritative simpliciter. This paper aims to resist such scepticism. After setting out the challenge in general terms, I argue that scepticism can be resisted by rejecting a key assumption in the sceptic’s argument. This is the assumption that standpoint-relative ought judgments bring (...) with them a commitment to act in accordance with those judgments. Instead, I propose an alternative account of our normative concepts according to which only ought simpliciter judgments commit one to acting in accordance with those judgments. In addition to answering the sceptical challenge, the proposal offers an independently motivated account of what makes a concept normatively authoritative. (shrink)

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)

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)

This paper examines the general prospects for conceptual role expressivism, expressivist theories that embrace conceptual role semantics. It has two main aims. The first aim is to provide a general characterisation of the view. The second aim is to raise a challenge for the general view. The challenge is to explain why normative concepts are not a species of defective concepts, where defective concepts are those that cannot meaningfully embed and participate in genuine inference. After rejecting existing attempts to answer (...) the challenge, I propose an alternative solution. However, the solution leaves conceptual role expressivism a far less distinctive and interesting position than its proponents claim. I conclude that we should be sceptical about how much expressivists gain by appealing to conceptual role semantics. (shrink)

This paper examines the integration and unification of the philosophy and psychology of well-being. For the most part, these disciplines investigate well-being without reference to each other. In recent years, however, with the maturing of each discipline, there have been a growing number of calls to integrate the two. While such calls are welcome, what it means to integrate well-being philosophy and psychology can vary greatly depending on one’s theoretical and practical ends. The aim of this paper is to provide (...) a novel conceptual framework for thinking about integrating well-being philosophy and psychology that systematically categorizes different kinds of integration projects. We divide existing attempts in the literature into three broad categories according to the perspective from which the integration takes place: (1) top-down meta-theoretical unification; (2) psychological integration within philosophy; and (3) philosophical integration within psychology. These categories are then broken down into various further subcategories. Our aim in providing this framework is both to facilitate the assessment and comparison of existing integration attempts and to provide a roadmap for future integration attempts. For each category, we discuss one or two representative examples of the approaches. By doing so, we hope to generate interest in the wide variety of existing integration projects, as well as to generate discussion concerning the benefits and pitfalls of different approaches. (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.

The extant marketing literature provides little guidance for theory development or practice with regard to questions of ethical conformity and the resulting market response. To begin to bridge this research gap, we advance a theoretical framework of ethical conformity in marketing, appealing to marketing ethics, management strategy, and sociological foundations. We set the stage for our theoretical arguments by considering the role of normative expectations related to marketing practices and behaviors held by societal constituents. Against this backdrop, we propose drivers (...) of conformity in marketing, including practices consistent with both overconformity and underconformity. The framework allows us to advance testable research propositions by which questions of ethical conformity may be explored. We conclude by suggesting additional future research needed to develop the domain, specifically in the form of empirical inquiries uncovering firm strategic decisions with ethical implications. (shrink)

Kurrâ’ya nispet edilen aynı kelimelerdeki edâ farklılıklarının tartışmalara sebep olmasından ötürü kıraat ihtilafı olan kelimelerde ihticâc yapılmasına gereksinim duyulmuştur. Delil getirmek manasında kullanılan ihticâc kavramı, kıraat ihtilafları için söz konusu olduğunda ise kıraat ihtilaflarının sıhhat zemininin ortaya konması kastedilmektedir. Ayrıca 2. asrın sonlarında kıraat tevcîhlerinin yapıldığı müstakil eserler ortaya çıkmakla birlikte kıraat alan yazınına ait genel telifatlarda da kıraat ihticâclarının yapıldığı görülmektedir. Kıraat müelliflerinden biri olan İbnu’l-Cezerî de Neşru’l-ḳırââti’l-‘aşr adlı eserinde zaman zaman kıraat ihticâcına yer vermektedir. Mezkûr eserdeki kıraat ihticâcları (...) hakkında tespit edilebildiği kadarıyla yapılmış tek bir çalışma bulunmaktadır. Fakat bu çalışmada, kıraatten ve bunun dışındaki disiplinlerden yeterince istifade edilmediği belirlenmiştir. Ayrıca selef ulemasının Neşru’l-ḳırââti’l-‘aşr adlı esere ihticâc konusunda etkisi özelinde bir çalışmaya da rastlanmamıştır. Buradan hareketle elinizdeki bu çalışmada, İbnu’l-Ce-zerî’nin kıraat ihticâcına dair uygulamaları Neşru’l-ḳırââti’l-‘aşr adlı eser özelinde incelenmiş, me‘âni’l-Kur’ân ve me‘âni’l-kıraat literatürlerinin ortaya çıktıkları dönem dikkate alınarak h. 2.-4. asırlarda kaleme alınan bu literatürlere ait eserlerin İbnu’l-Cezerî’ye ait kıraat tevcîhlerine etkisinin olup olmadığı araştırılmıştır. Çalışmanın neticesinde İbnu’l-Cezerî’nin yaptığı kıraat tevcîhlerinden ele alınanların bir kısmına, söz konusu üç asırda kaleme alınan me‘âni’l-Kur’ân ve me‘âni’l-kıraat telifatında ekseriyetle yer verilmediği saptanmıştır. İbnu’l-Cezerî’nin ise kıraat ihtilafının olmadığı yerlerde dahi ilgili edâ için ihticâc yaptığı müşahede edilmiştir. Buna ilaveten İbnu’l-Cezerî’nin Neşr’de yaptığı ihticâc uygulamalarının me‘âni’l-Kur’ân ve me‘âni’l-kıraat telifatında yapılan ihticâc işlemleriyle benzeştiği görülmüştür. Yine Neşr’in tevcîh eseri olmaması hasebiyle de İbnu’l-Cezerî tarafından yapılan ihticâcların ihtiyaç merkezli olarak kendini gösterdiği belirlenmiştir. (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.

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?

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.

This work examines the claim to scienific status made by supporters and practitioners of neoclassical economics. The approach taken is that of the history and philosophy of science. Analysis points to the conclusion that theories of economic choice are necessarily normative, essentially because of the nature of human behavior.

Critical notice of Guy Fletcher's 'Dear Prudence: The Nature and Normativity of Prudential Discourse' and Dale Dorsey's 'A Theory of Prudence'.

Marr's levels of analysis—computational, algorithmic, and implementation—have served cognitive science well over the last 30 years. But the recent increase in the popularity of the computational level raises a new challenge: How do we begin to relate models at different levels of analysis? We propose that it is possible to define levels of analysis that lie between the computational and the algorithmic, providing a way to build a bridge between computational- and algorithmic-level models. The key idea is to push the (...) notion of rationality, often used in defining computational-level models, deeper toward the algorithmic level. We offer a simple recipe for reverse-engineering the mind's cognitive strategies by deriving optimal algorithms for a series of increasingly more realistic abstract computational architectures, which we call “resource-rational analysis.”. (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)

This paper asks whether a necessity can be the source of necessity. According to an influential argument due to Simon Blackburn, it cannot. This paper argues that although Blackburn fails to show that a necessity cannot be the source of necessity, extant accounts fail to establish that it is, with particular focus on Bob Hale’s essentialist theory and Christopher Peacocke’s ‘principle-based’ theory of modality. However, the paper makes some positive suggestions for what a satisfactory answer to the challenge must look (...) like. (shrink)