Journal of Mathematical Logic, Volume 22, Issue 02, August 2022. Motivated by results of Bagaria, Magidor and Väänänen, we study characterizations of large cardinal properties through reflection principles for classes of structures. More specifically, we aim to characterize notions from the lower end of the large cardinal hierarchy through the principle [math] introduced by Bagaria and Väänänen. Our results isolate a narrow interval in the large cardinal hierarchy that is bounded from below by total indescribability and from above by (...) subtleness, and contains all large cardinals that can be characterized through the validity of the principle [math] for all classes of structures defined by formulas in a fixed level of the Lévy hierarchy. Moreover, it turns out that no property that can be characterized through this principle can provably imply strong inaccessibility. The proofs of these results rely heavily on the notion of shrewd cardinals, introduced by Rathjen in a proof-theoretic context, and embedding characterizations of these cardinals that resembles Magidor’s classical characterization of supercompactness. In addition, we show that several important weak large cardinal properties, like weak inaccessibility, weak Mahloness or weak [math]-indescribability, can be canonically characterized through localized versions of the principle [math]. Finally, the techniques developed in the proofs of these characterizations also allow us to show that Hamkin’s weakly compact embedding property is equivalent to Lévy’s notion of weak [math]-indescribability. (shrink)

This article presents an approach for structured reflection by a designer through journal writing. The journal writing situates the agency of the designer, using a range of internal conversations as a way to expand horizons and perspectives. Through a structured approach using journal entries, experiences of the design process are introduced as reflective internal talkback. In the approach that is described, decision points and perspectives are negotiated and potentially contested through a series of voices of self as (...) I, Me, You, and We. These voices are intertwined within the journal narrative and are proposed as a useful framework for negotiating and effectively engaging with design complexity. The article introduces the conceptual backgrounds with reference to conversation as a process of learning. The specific dynamics of the journal writing approach are explained and then illustrated in a case study. The case study describes how the approach is applied for a specific design project. (shrink)

We deal with the issue of whether large cardinals are intrinsically justified set-theoretic principles (Intrinsicness Issue). To this end, we review, in a systematic fashion, the abstract principles that have been formulated to motivate them and their mathematical expressions, and assess their intrinsic justifiability. A parallel, but closely linked, issue is whether there exist mathematical principles that yield all large cardinals (Universality Issue), and we also test principles for their ability to respond to this issue. Finally, we discuss Structural (...) class='Hi'>Reflection Principles and their responses to Intrinsicness and Universality, and also make some further considerations on their general justifiability. (shrink)

After discussing the limitations inherent to all set-theoretic reflection principles akin to those studied by A. Lévy et. al. in the 1960s, we introduce new principles of reflection based on the general notion of Structural Reflection and argue that they are in strong agreement with the conception of reflection implicit in Cantor’s original idea of the unknowability of the Absolute, which was subsequently developed in the works of Ackermann, Lévy, Gödel, Reinhardt, and others. We then present (...) a comprehensive survey of results showing that different forms of the new principle of Structural Reflection are equivalent to well-known large cardinal axioms covering all regions of the large-cardinal hierarchy, thereby justifying the naturalness of the latter. (shrink)

This article contains reflections on the further structural transformation of the public sphere, building on the author’s widely-discussed social-historical study, The Structural Transformation of the Public Sphere, which originally appeared in German in 1962 (English translation 1989). The first three sections contain preliminary theoretical reflections on the relationship between normative and empirical theory, the deliberative understanding of democracy, and the demanding preconditions of the stability of democratic societies under conditions of capitalism. The fourth section turns to the implications of digitalisation (...) for the account of the role of the media in the public sphere developed in the original work, specifically to how it is leading to the expansion and fragmentation of the public sphere and is turning all participants into potential authors. The following section presents empirical data from German studies which shows that the rapid expansion of digital media is leading to a marked diminution of the role of the classical print media. The article concludes with observations on the threats that these developments pose for the traditional role of the public sphere in discursive opinion and will formation in democracies. (shrink)

Science has uncovered many mistakes that had been hidden for centuries among implicit everyday assumptions. When we make explicit what lies implicit within language, there is no guarantee that we will arrive at truth about the world. Many therefore assume that only science delivers truth. Recent debates on this issue often refer to Wilfred Sellars’s arguments against the pre-conceptual given but conclude that his additional insistence on the exclusivity of the scientific image of the world is unfounded. In this paper (...) I resort to Robert Brandom’s development of these arguments to show that saying a word, understanding a concept and engaging in some practices go together. Both laws of nature and social norms regulate these practices and determine the identity conditions of objects. I argue therefore that the conceptual scheme indeed reflects the nature of things because it results from our successful engagement with the world during the long sweep of evolutionary time. (shrink)

Understanding differences in communication styles is becoming increasingly important in intercultural business communication as more and more countries are involved in doing business internationally and more and more people are doing business with mainland China. This article aims to compare the structural moves used in English and Chinese sales letters from social, intercultural and pragmatic perspectives. It has been argued that the study of text styles such as linearity and circularity in comparative rhetoric may not be sufficient to reflect the (...) overall features of the genres involved. Therefore a holistic approach based on genre study and schema theory has been employed to explore the communicative purposes and various levels of the text. Hall's high- and low-context cultures and cross-cultural pragmatics have also been incorporated to enrich the genre approach. A corpus of 40 sales letters was examined and it was found that Chinese sales letters share similar marketing strategies with English letters as the Chinese economy is becoming increasingly decentralized and privatized. Differences in communication patterns between these letters were identified, however, and shown to be largely due to a number of factors such as the specific values and beliefs of each culture and the different business practice in mainland China. (shrink)

21세기 우리 한국 사회가 노년 세대를 마주 보는 멸시와 혐오의 분위기는 보다 가중되었다. 또한 노인 세대의 정치적 결집은 지난 2016년 말 이후 한국 사회의 세대 갈등을 더욱 심화시켜 왔다. 한국사회는 개인의 개성을 존중하는 분위기보다는 세대간 집단적 이해관계에 따라 사회 현상을 설명하는 것에 익숙해 왔다. 이런 점에서 한국 사회는 역사적 경험에 의해 비롯된 386세대와 같은 공통된 특성 ‘세대’를 중심으로 그 시대의 변화를 설명하는 것에 다소 친숙해져 왔다. 왜냐하면 세대 갈등은 ‘내 집단’과 ‘타 집단’간의 구별을 전제로 하고 있다. 이러한 세대간 갈라치기는 첨예한 (...) 세대간 권력관계를 암시하기도 한다. 또한 세대란 “연속적이면서도 동시에 불연속적인 시대의 변화”를 뜻하기도 한다. 이를테면 세대란 시대의 변화에 따르는 변곡점에 의해 세대 집단을 통해 드러낸다. 이런 측면에서 세대론은 한 시대의 표상을 드러내 주기도 한다. 그런데 세대론이 흥미로운 사실은 시대의 인식이 어떤 한 세대에 따라 각각 분절되면서 세대 간의 서로 다른 상대적 관계에 따라 점차 단절되고 있다.BR 이런 관점에서 필자는 칼 만하임의 세대 문제, 미셸 푸코가 주장했던 권력의 담론 형성과정을 통해 세대간 갈등 구조를 이해함으로써 상호세대론 및 자기 세대와 타 세대의 관계를 고찰할 것이다. 또한 필자는 지금까지 세대 문제에 준거점이 되었던 세대 개념과 세대간 갈등들을 한국 사회에 어떻게 적용될 수 있을 것인지에 대해 살펴볼 것이다. 따라서 이러한 세대 개념과 세대간 갈등이 한국 사회에서 철학적 및 사회학적으로 어떤 의미가 있는지에 대해 고찰하고자 한다. (shrink)

When Kant announces in a letter to Reinhold that he has discovered a new domain of a priori principles, he situates these principles in a ‘faculty of feeling pleasure and displeasure ’. And it is indeed in his Critique of Aesthetic Judgement, named in this letter the Critique of Taste, that we find his elucidation of the relation of the principle of purposiveness to the feeling of pleasure. The kinds of judgements in which our feelings are evaluated in accordance with (...) a principle are what Kant names reflective judgements. And while reflective judgements emerge in the third Critique to include not only judgements of taste, but also judgements of the sublime and teleological judgements of nature, in this paper I will focus on the first, as the question of the relatedness of reflection to pleasure is most pronounced in this context. There is no consensus in Kant scholarship as to what the structure of reflective judgements is, as evidenced by the widely disparate views of those such as Guyer, Allison, Pippin, Ginsborg, Lyotard, and others. (shrink)

The paper is devoted to the role (function) of reflection in cognition and its modes (types) as part of the cognitive ability. Along with logical and transcendental reflection, Kant's transcendental shift (turn) is discussed, as well as the role of reflection in Kant's schematism (the ability to judge) and the formation of schemas. Particular attention is paid to another mode of reflection – reflexive switching, which underlies not only the formation of pure rational concepts and schemes (...) (Kant's concept of epigenesis; metaphysical deduction of categories), but the epigenesis of a priori forms of sensibility of space and (especially) time, connected with the Kantian synthesis of apprehension in the intuition. The article proposes an original conception of time, the so-called onion model of time, which is based on a reflexive (iterative) apperceptive ladder. (shrink)

This paper examines whether judgement can do more than merely reflect existing structures—whether it can actively transform the very structure (Judgemental Triad: Constructivity, Coherence, Resonance) within which it operates. Challenging the view of judgement as purely reactive, we ask if the act of attribution can mutate the symbolic, logical, or relational frameworks it engages with. We propose that certain pivotal judgements function not as interpretations but as ontological interventions, altering what is subsequently possible to be judged. We define this phenomenon (...) as judgemental recursion or a "Judgemental Mutation Event" (JME): a feedback loop where attribution reshapes the preconditions of meaning (Constructivity, Coherence, Resonance). This perspective reframes judgement not just as discernment but potentially as a generative, world-altering force, with significant implications for ethics, ontology, and the understanding of structural change. (shrink)

Konrad Cramer, in “ Reflections on the Logical Structure of a Kantian Moral Argument ”, argues that the Universal Law Formulation of the Categorical Imperative is best understood as providing us with an indirect method for determining the moral permissibility of acting on our maxims. He then goes on argue, however, that no interpretation of UL is consistent with Kant’s epistemic claim that we can easily discover what morality demands of us. In response I argue that Cramer relies on an (...) excessively demanding interpretation of Kant’s epistemic claim and that his indirect interpretation of UL rests on a problematic account how our maxims relate to the actions that we perform on their basis. I then turn to the question of the overall plausibility of UL, and stress the need to interpret it within the context of Kant’s overall moral system. (shrink)

Stein has characterized one of the central problems in accounting for our knowledge in physics as that of getting the laboratory, or observatory, inside the theory -- that is, of understanding how the mathematical structures of fundamental physical theories have empirical content. He has argued that physicists respond to this problem by giving schematic representations of observers and experiments. In addition, Stein emphasizes the importance of regarding knowledge as an enterprise, with current theories providing guidance for future inquiry. I will (...) explore some ramifications of this way of thinking about the structure of scientific theories for contemporary cosmology. One goal of observational cosmology is to measure the six basic parameters appearing in the standard model of cosmology. These parameters are well-defined if the universe is suitably approximated at some scale by a perturbed FLRW model. The enormous extrapolations involved in the standard model are often justified by the consistent determination of these parameters via a variety of methods. Here I will consider two recent debates regarding this approach to cosmology, inspired by Stein's work. The first debate regards the impact of different ways of characterizing the propagation of light through a cosmological spacetime on the determination of cosmological parameters (such as H_0). The second regards how the highly symmetric FLRW models relate to describing the real universe, at small scales where it is very lumpy. (shrink)

In 1974, John Maynard Smith wrote in his little book Models in Ecology, A theory of ecology must make statements about ecosystems as a whole, as well as about particular species at particular times, and it must make statements that are true for many species and not just for one… For the discovery of general ideas in ecology, therefore, different kinds of mathematical description, which may be called models, are called for. Whereas a good simulation should include as much detail (...) as possible, a good model should include as little as possible. (1974. (shrink)

Oblak et al. portray perceptual presence as an individually driven reflective operation. I question their account and suggest that PP involves a socially induced pre-reflective awareness of ….

Judging by the immense global academic interaction with his work, Jurgen Habermas's social theory, with particular reference to structural transformation of the public sphere and democracy, is one of the most constructive models for understanding the role and function of citizens in forming healthy societies. This article investigates the recent 2014 Tshwane State of the City Address in light of Habermas's theory. Is Habermas's theory relevant to the South African urban context? Do African cities like Tshwane subscribe to the Habermasean (...) social formula or does it understand the public sphere in ways that require an amended interpretation of what Habermas conveys? This article provides a theological-ethical perspective on this Habermasean investigation of the 2014 Tshwane 'State of the Capital City Address'. (shrink)

In his own time, Lao Sze-Kwang formulated his own intra-cultural approach to the philosophy of culture that begins from the interdependence and organic nature of our cultural experience. In this essay, I address three questions: Why did Lao abandon his early reliance on the Hegelian model of philosophy of culture and formulate his own “two- structured” theory? Again, given Lao’s profound commitment and contribution to Chinese philosophy and its future directions, why is it not proper to describe him as (...) a “Chinese philosopher?” And why is the much accomplished Lao Sze- Kwang not installed in the CUHK pantheon as yet one more of the great “New Confucian” philosophers (xinruxuejia 新儒學家) to be associated with this institution? (shrink)

This essay will move toward a phenomenology of “more” in ten steps. 1st, situates the investigation within the tradition of Husserlian phenomenological practice, then 2nd draws upon Husserl’s own experience of doing phenomenology. 3rd considers some initial aspects of the structure of the lived experience of “more” and 4th is about the number series, while 5th addresses the primal experience of time, space, and movement. 6th focuses on the phenomenological notion of horizons, then 7th turns to the related question of (...) transcendence. 8th takes a critical look at a particular conceptual model sometime used in thinking about the experience of “more”; 9th briefly brings out one of the ethical implications of this critique; and finally, 10th highlights some of the ways in which the research documented here is itself still incomplete and demands “more”.Este ensayo se moverá hacia una fenomenología de "más" en diez pasos. El prime-ro, sitúa la investigación dentro de la tradición de la práctica fenomenológica husserliana; luego, el segundo se basa en la propia experiencia de Husserl de hacer fenomenología; el tercero considera algunos aspectos iniciales de la estructura de la experiencia vivida de "más" y el cuarto es sobre la serie numérica, mientras que el quinto aborda la experiencia primordial de tiempo, espacio y movimiento. El sexto se centra en la noción fenomenológica de horizontes; después el séptimo pasa a la cuestión relacionada con la trascendencia. El octavo echa una mirada crítica a un modelo conceptual particular usado en algún momento para pensar sobre la experiencia de "más"; el noveno destaca brevemente una de las implicaciones éticas de esta crítica;y, finalmente, el décimo resalta algunas de las formas en las que la investigación aquí documentada todavía está incompleta y exige "más". (shrink)

This book explores how the liberal conception of justice with all its ideological underpinnings is reflected in the framing and working of the Constitution of India, in the adoption of broader socio-economic objectives, in the functioning of judicial and state institutions, and in the formulation and implementation of development strategy. It analyses the dynamics of the relationship between justice, democracy and the state. The book studies the liberal conception of social justice and its sufficiency, and interrogates its performance and adequacy (...) within the structural parameters and cultural conditions of postcolonial India. It provides an analytical exposition of how the borrowed and inadequate conception of liberal justice and democracy inherited from colonial past, and the espousal of the derivative developmental pattern based on modernist and constructivist paradigm, have together failed to achieve the modest target of justice enshrined in the Constitution. Interlinking justice, democracy and state, the book examines their operational dynamics in an integrated framework which has relevance for other Third World countries also because of socio-economic and cultural commonalites. (shrink)

We extend the results of Laver on using inverse limits to reflect large cardinals of the form, there exists an elementary embedding Lα → Lα. Using these inverse limit reflection embeddings directly and by broadening the collection of U-representable sets, we prove structural results of L under the assumption that there exists an elementary embedding j : L → L. As a consequence we show the impossibility of a generalized inverse limit X-reflection result for X ⊆ Vλ+1, thus (...) focusing the study of L generalizations on L. (shrink)

Neurobiologist William Calvin explores the human brain, positing that the neurons in the brain operate in an accelerated version of biological evolution, evolving ideas through random variations and selections, and supports his hypothesis with numerous ca.

Hayden White suggested that narratives achieve coherence through literary types of emplotment. Generally, this is not the case. I contrast simple narratives, whose coherence lies in their subject and chronological structure; reflective narratives, which give an account of a trend; and genetic narratives, designed to explain and outcome. Some narratives do more than one of these things. Each kind of narrative is constrained by its function, but this constraint seldom if ever ensures its complete objectivity.

C Evers; Epistemology and the Structure of Educational Theory: some reflections on the O'Connor-Hirst debate, Journal of Philosophy of Education, Volume 21, Iss.

Medical educators recognize the value of reflection for medical students and the role creative writing can play in fostering this. However, direct creative writing tasks can be challenging for many students, particularly those with limited experience in the arts and humanities. An alternative strategy is to utilize an indirect approach, engaging students with structured tasks that obliquely encourage reflection. This paper reports one such approach. We refer to this approach as in-verse reflection, playing on both the (...) structure of the writing and its novel approach to reflection. Students were invited to write, in verse-like structures, about their personal and clinical experiences as medical students. Thematic analysis of their creative outputs and reactions identified four principal themes: the challenges of life as a medical student, the emotional demands of the medical course, a sense of connectedness and solidarity with fellow students, and a sense of marginality within the hospital system. Students generally found the tasks highly engaging and conducive to reflection, producing texts representing significant insights into their experiences as medical students. The reported method offers a relatively simple, structured, and guided approach to reflective writing, adding to the repertoire of methods available to educators in the medical humanities. (shrink)

Toril Moi has argued that recent deconstructive challenges to the concept of gender and to the viability of the sex/gender distinction have brought feminist and queer theory to a place of increasing theoretical abstraction. She suggests that we should abandon the category of gender once and for all, because it is founded on a nature–culture distinction and it tends incorrigibly to essentialize women’s lives. Moi argues that feminist and queer theories should replace the concept of gender with a concept of (...) the lived body derived from existential phenomenology. In this essay I take up and develop this suggestion, and argue that there are several advantages that a category of the lived body has over a category of gender for feminist and queer theories: (1) no nature–culture distinction is necessary but the body can be described as historically and socially specific; (2) it is not necessary to break out a gendered and “raced” part of identity with this category; (3) differences of sexual desire can be described without recourse to an “inner core” of identity or “sexual orientation.” I go on to argue, however, that it is important to retain a concept of gender for a theoretical purpose beyond that which Moi and those she criticizes conceive. In recent years feminist and queer theories have tended to conceive their theorizing as restricted to identity and subjectivity. How large scale social structures differentially position people in relations of privilege and disadvantage has been ignored, relatively. This essay argues then that theorizing structural processes and inequalities is crucial, and that a concept of gender is important for such theorizing. I propose three aspects of gendered social structure that are irreducible to one another: (1) a sexual division of labor (2) normative heterosexuality, and (3) hierarchies of power. In each case I illustrate the social theoretical work these categorizations of gendered structure can and should do. (shrink)

The current study aimed to verify the multidimensional factor structure of teacher reflection and to examine the psychometric properties of a widely used teacher reflection scale using a large-scale representative dataset of 1,611 practicing Iranian English as a Foreign Language teachers. Furthermore, the measurement invariance of the hypothesized, a priori six-factor model of teacher reflection as measured by the adapted scale was assessed across gender and educational degree in Mplus program. In addition, the differences in latent factor (...) means of the same groups were examined. The result of confirmatory factor analysis revealed that teacher reflection was a multidimensional construct, encompassing six underlying factors. Overall, the adapted teacher reflection scale based on the 6-factor model showed an overall good fit. The results also indicated metric and scalar invariance which manifests that the factors underlying the adapted scale had an identical theoretical structure across educational degree/gender groups. Finally, there were significant factor mean differences in reflection components across gender and educational degree groups. A discussion of the results and their implications ensue. (shrink)

The starting point of this article is the undeniable experience of conscious willing despite its rejection by scientific research. The article starts a phenomenology of willing at the level of the phenomenon of willing itself, without assuming its embeddedness in a faculty of the soul, consciousness and so forth. After the introduction, a brief history of the philosophy of willing is provided, from which the paradoxical conclusion is drawn that, according to phenomenologists like Heidegger and his followers, the dominance of (...) the will is the main characteristic of the current age, whereas scientists deny the existence of a conscious will at all. Then, four structural moments of the phenomenon of willing are explored in contrast to traditional characterizations in order to rehabilitate and appreciate the phenomenon of willing in contemporary philosophy: the interconnectedness of the one who wills and that which is willed, the transcendence and demand character of that which is willed, the self-involvement of the one who wills and the ampliative nature of the act of willing. To this end, not only sources from the phenomenological tradition but also the affordance theory of the ecological psychologist James Gibson are critically discussed. (shrink)

Systems for color naming across languages have been a fascinating topic for decades. Zaslavsky and colleagues challenge Gibson's argument that color names are shaped by patterns of communicative need. Using an information‐theoretic analysis, they show that color naming is shaped by both perceptual structure (as is usually argued) but also by communication need.

Thomas S. Kuhn’s The Structure of Scientific Revolutions was a watershed event when it was published in 1962, upending the previous understanding of science as a slow, logical accumulation of facts and introducing, with the concept of the “paradigm shift,” social and psychological considerations into the heart of the scientific process. More than fifty years after its publication, Kuhn’s work continues to influence thinkers in a wide range of fields, including scientists, historians, and sociologists. It is clear that The Structure (...) of Scientific Revolutions itself marks no less of a paradigm shift than those it describes. In Kuhn’s “Structure of Scientific Revolutions” at Fifty, leading social scientists and philosophers explore the origins of Kuhn’s masterwork and its legacy fifty years on. These essays exhume important historical context for Kuhn’s work, critically analyzing its foundations in twentieth-century science, politics, and Kuhn’s own intellectual biography: his experiences as a physics graduate student, his close relationship with psychologists before and after the publication of Structure, and the Cold War framework of terms such as “world view” and “paradigm.”. (shrink)