Wexler and Sullivan (2023) recommend integration as a guiding principle for translational neuroethics. We agree that collaboration between neuroethicists and other professionals can advance the fie...

We investigate the compatibility of I0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_0$$\end{document} with various combinatorial principles at λ+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda ^+$$\end{document}, which include the existence of λ+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda ^+$$\end{document}-Aronszajn trees, square principles at λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document}, the existence of good scales at λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document}, stationary reflections (...) for subsets of λ+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda ^{+}$$\end{document}, diamond principles at λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document} and the singular cardinal hypothesis at λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document}. We also discuss whether these principles can hold in L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L$$\end{document}. (shrink)

The article focuses on a philosophical issue of the Renaissance humanism in William Shakespeare's Hamlet. The humanist tradition originated in Greece with the famous statement “Of all things man is the measure” (Protagoras of Abdera, 485-415 BCE), but it was not until the Renaissance that it reached its peak and became a doctrine. The article focuses on the humanism of the Renaissance, with its glorification of the image of the "giant man," which is mainly expressed in the work of William (...) Shakespeare. By pointing out the nature of Renaissance humanism, the article emphasizes Hamlet's play as a typical work of Renaissance humanism. (shrink)

In Vietnam, patriotism is the highest value in the nation's spiritual value system. Patriotic feelings were formed from the very beginning of the founding of the country and continue to grow strongly to this day. It soon became the reason for life, the ideal, and the belief in the spiritual life of the Vietnamese people. The purpose of this paper is to provide a comprehensive and in-depth view of patriotism as a specific philosophy of the Vietnamese nation. To that end, (...) the paper focuses on analyzing what patriotism is and its expressions. It discusses the basic tenets of Vietnamese patriotism: the spirit of independence, self-reliance, the sense of national self-reliance, solidarity in national construction and defense and a humanistic spirit. The paper thus highlights the peculiarities of the patriotic philosophy of the Vietnamese nation and how it manifests in the rural villages. (shrink)

David Annis is professor of philosophy at Ball State University. In this essay, Annis offers an alternative to the foundationalist-coherent controversy: "contextualism." This theory rejects both the idea of intrinsically basic beliefs in the foundational sense and the thesis that coherence is sufficient for justification. he argues that justification is relative to the varying norms of social practices.

Introduction. Higher education plays a particularly important role in the development of a country. The goal of the article is to describe the development of concepts about education in general and higher education in particular to explain the role of education in social life. Humboldt sees higher education as a process toward freedom and the search for true truth. Humboldt's philosophy of higher education is an indispensable requirement in the context of people struggling to escape the influence of the state (...) and church forces. The purpose is to find out the content and principles of higher education, especially meaningful suggestions for building an autonomous education in Vietnam today. Materials and Methods. The article uses materialist dialectic to analyze Humboldt's philosophy of higher education. In addition, the article also uses methods of analysis, synthesis, comparison and contrast to clarify views on education in the history of human thought from ancient, medieval, modern and modern times, from which to draw the basic contents and principles in the philosophy of higher education of Humboldt. Results and Discussion. Humboldt is the founder of the University of Berlin - known as the mother of modern universities. It is a new university model based on the philosophy of upholding freedom in learning and teaching, upholding the scientific spirit to seek and discover the truth, and at the same time, combining teaching with scientific research. His liberal education philosophy has contributed to affirming the strength and position of universities. He criticized state intervention in university institutions. Based on the anthropological foundation of emphasizing human diversity, Humboldt's higher education philosophy is truly liberating when it comes to bold views. Humboldt believes that a university is a pure place of science and research, so it is not influenced by any outside force, even from the state. A university is where academic freedom, scientific freedom and other autonomy are guaranteed so that the institution can run smoothly. Universities must have unity between research and teaching. However, Humboldt's philosophy of higher education still contains many issues that need to be considered thoroughly. Specifically, the promotion of internal self-determination requires financial autonomy while the state's investment capital in universities is still quite large; Calling for education to be privatized is still inadequate. The elitist spirit in the Humboldt model is no longer fully relevant in the context of a market economy that tends to lead to the pursuit of targets, which are often related to quality. Practical significance. Humboldt's liberal philosophy of higher education has a strong influence, dominates and becomes a reality in many countries with advanced education. For Vietnam, Humboldt's higher education philosophy is a meaningful suggestion to build an autonomous education under the country's socio-historical conditions. (shrink)

Justice requires that public policy improve the lives of disadvantaged members of society. Dementia is a source of disadvantage, and a growing global public health challenge. This article examines the theoretical and ethical connections between theories of justice and public dementia policy. Disability in general, and dementia in particular, poses important challenges for theories of justice, especially social contract theories. First, the article argues that non-contractarian accounts of justice such as the Capabilities and Disadvantage approaches are better equipped than their (...) contractarian counterparts to analyse issues of justice and dementia. Secondly, using a capabilities framework, I analyse original empirical data from qualitative interviews and discussion groups with health and social care professionals. The article concludes that social connection is a ‘fertile functioning’—a multiplier of advantage that enables people to live well with dementia together—and should therefore be a priority for public dementia policy. (shrink)

Resumo: Uma das características comuns dos primeiros filósofos modernos da Europa Ocidental é a ênfase na liberdade e na igualdade. Os filósofos desse período buscavam respostas para “o que é liberdade e igualdade?” e transformaram a liberdade e a igualdade em direitos humanos fundamentais. De John Locke a Montesquieu e Jean Jacques Rousseau, todos consideram a liberdade e a igualdade como direitos naturais do ser humano. O conceito de liberdade e igualdade de Rousseau é refletido em O Contrato Social. No (...) início desse trabalho, ele comentou, com uma famosa frase de abertura: “O homem nasce livre, mas está em toda parte acorrentado.” Esse é o argumento fundamental para dar uma visão única de liberdade e igualdade. Dentro do escopo do artigo, o autor se concentra em analisar seus pontos de vista sobre liberdade e igualdade, em muitos aspectos diferentes - liberdade e igualdade, no estado de natureza, liberdade e igualdade, na sociedade civil, e como alcançar a liberdade e a igualdade - apresentando, assim, os valores e as limitações de seus pontos de vista sobre liberdade e igualdade. (shrink)

Separation of powers is one of the ideas with profound theoretical and practical significance, especially in the field of political science. The birth of the theory of separation of powers marked the transition from the barbaric use of power in authoritarian societies to the exercise of civilized power in democratic societies. Therefore, separation of powers is considered an objective necessity in democratic states, a condition to ensure the promotion of liberal values, and a criterion for assessing the existence and development (...) of the Rule of Law where people's sovereignty plays a paramount role. On the way to perfecting political thinking, the theory of separation of powers has developed into a complete system in the main philosophy of John Locke. Within the scope of the article, the author focuses on analyzing Locke's ideology of separation of powers in terms of the nature of separation of powers, the basis and some principles of power division, and the roles of the different parts of government power and the relationship between them. (shrink)

In a recent paper, Al Mele (2003) suggests that the Simple View of intentional action is “fiction” because it is “wholly unconstrained” by a widely shared (folk) concept of intentional action. The Simple View (Adams, 1986, McCann, 1986) states that an action is intentional only if intended. As evidence that the Simple View is not in accord with the folk notion of intentional action, Mele appeals to recent surveys of folk judgments by Joshua Knobe (2003, 2004a, 2004b). Knobe’s surveys appear (...) to show that the folk judge unintended but known side effects of actions to be performed intentionally. In this paper we will reject Mele’s suggestion that the Simple View is “fiction.” We will also discuss the relationship between surveys and philosophical theories, and the abilities of surveys to access folk core concepts. We will argue that considerations of both fail to support Mele’s suggestion. (shrink)

Citizenship is the right to be a citizen of a social, political, or national community. Aristotle was the philosopher who has been talking about citizenship since ancient times. His thoughts are still historical lessons for the operation of states today. In this article, the author focuses on analyzing basic thoughts on Aristotle's citizenship; which are shown in essential points such as (i) Citizenship is clearly shown in the role of the State, (ii) Right to education, (iii) The right to participate (...) in political affairs, (iv) Citizenship is associated with civic obligations. Thereby, the article draws its historical lesson for the current building of law-governed State in Vietnam in the following aspects: (i) Building a solid-state apparatus with a coherent and unified legal system; (ii) All the State's policies must originate from the Vietnamese practice, ensure the people's mastery and protect the people's legitimate interests; (iii) Consolidating and strengthening the relationship between the State and the people. (shrink)

Debates around sound corporate governance propose board diversity as a key attribute to sufficiently challenge executive management for stakeholder engagement. This study contributes to this debate by empirically investigating the effect of board diversity on corporate social disclosure of Vietnamese listed firms. The study finds a significantly positive effect of diversity-in-boards on CSD while diversity-of-boards has no effect on CSD. The results contribute by showing that a single theoretical approach can provide an adequate explanation for board diversity. The study contributes (...) methodologically by demonstrating the design and measurement of board diversity indices, and a three-dimensional stakeholder-relevant CSD index. The findings benefit regulators and corporate executives in better understanding firms’ CSD practices and stakeholders’ expectations. (shrink)

The study aims to clarify some actual contents that we think should be noted in the study of Dewey‟s educational philosophy. The study begins with Dewey‟s criticism of traditional education, which served as the basis for his progressive educational views. The article then analyzes the learnercentric educational process and teacher‟s qualities from a progressive viewpoint. Progressive education‟s ultimate aim is to achieve democracy in education. That, in our opinion, is the prominent reason that the influence of Dewey‟s educational philosophy continues (...) to have a bearing on the education systems of the United States, many European countries, and Asia. The article concludes with John Dewey‟s contributions to educational development to demonstrate that his progressive educational views still have directional value and provide meaningful guidance for educational innovation in many countries. (shrink)

Friendship was an important topic for classical philosophers; the analysis, Value, And duties of friendship all received considerable attention. But friendship has been a relatively dormant topic among more recent philosophers. This paper (a) presents an analysis of friendship and explains its core elements, (b) discusses several different models for explaining the value of friendship, And (c) argues that there are special duties of friendship and that these aren't based solely on utilitarian considerations.

The relationship between the state and the people has been of the utmost concern to the ruling class ever since society appeared between the class and the state. This study focuses on Aristotle and Han Fei Zi‟s ideological analyses of the relationship between the state and the people. The author aims to emphasize that the state and the people are the two fundamental forces of political life. The relationship between them is a constant and intimate relationship that creates the appearance (...) and stability of a political regime. The study contributes to the literature by pointing out the similarities and differences between the thoughts of two law rulers typical of the West and the East. The study results show that, due to the differences between Western and Eastern cultures, historical and social conditions, and cognitive ability, the thoughts of Aristotle and Han Fei on this issue have similarities and differences. (shrink)

Siopis has always engaged in a critical and controversial way with the concepts of ‘race’ and ‘ethnicity’ in South Africa. For politically sensitive artists whose work has involved confronting the injustices of apartheid, the current post-apartheid situation has forced a reassessment of their practice and the terms on which they might engage with the fundamental changes which are now affecting all of South African society. Where mythologies of race and ethnicity have been strategically foregrounded in the art of any engaged (...) artist, to the exclusion of many other concerns, the demise of apartheid offers the possibility of exploring other dimensions of lived experience in South Africa. For feminists, this is potentially a very positive moment when questions of gender – so long subordinated to the structural issue of ‘race’ under apartheid – can now be explored. Penny Siopis’ work has long been concerned with the lived and historical relations between black and white women in South Africa. The discussion focuses on the ambivalent and dependent relationships formed between white middle-class women and black domestic labour during apartheid. Siopis’ work engages with how the appropriation of black women's time, lives, labour and bodies has shaped her ‘own’ history. (shrink)

Twenty-first-century biology rejects genetic determinism, yet an exaggerated view of the power of genes in the making of bodies and minds remains a problem. What accounts for such tenacity? This article reports an exploratory study suggesting that the common reliance on Mendelian examples and concepts at the start of teaching in basic genetics is an eliminable source of support for determinism. Undergraduate students who attended a standard ‘Mendelian approach’ university course in introductory genetics on average showed no change in their (...) determinist views about genes. By contrast, students who attended an alternative course which, inspired by the work of a critic of early Mendelism, W. F. R. Weldon, replaced an emphasis on Mendel’s peas with an emphasis on developmental contexts and their role in bringing about phenotypic variability, were less determinist about genes by the end of teaching. Improvements in both the new Weldonian curriculum and the study design are in view for the future. (shrink)

In this study, we examined the perception of actual and ideal ethical climate type among 95 nurses working in the internal medicine wards of one central hospital in the state of Israel. We also examined whether nurses’ demographic characteristics influence that perception and if a relationship between perceptions of an actual and an ideal ethical climate type influences nurses’ job satisfaction. A questionnaire composed of three subquestionnaires was administered and the responses analyzed using multiple linear regressions, analysis of variance and (...) Pearson’s correlation coefficient. The results demonstrated that demographic characteristics (such as: gender, job tenure and level of education) partially influence the perception of an ideal ethical climate. Incongruence in perceptions of ‘caring’ and ‘independence’ climate types indicated a decline in nurses’ job satisfaction, while perception of actual ‘caring’ and ‘service’ climates positively influenced all aspects of job satisfaction. We recommend constructing training programs emphasizing the ethics of nursing practice and also to help lead nurses to clarify an ethical framework and guide nursing staff in dealing with ethical dilemmas. (shrink)

Previous research has shown a source memory advantage for faces presented in negative contexts. As yet it remains unclear whether participants remember the specific type of context in which the faces were presented or whether they can only remember that the face was associated with negative valence. In the present study, participants saw faces together with descriptions of two different types of negative behaviour and neutral behaviour. In Experiment 1, we examined whether the participants were able to discriminate between two (...) types of other-relevant negative context information (cheating and disgusting behaviour) in a source memory test. In Experiment 2, we assessed source memory for other-relevant negative (threatening) context information (other-aggressive behaviour) and self-relevant negative context information (self-aggressive behaviour). A multinomial source memory model was used to separately assess partial source memory for the negative valence of the behaviour and specific source memory for the particular type of negative context the face was associated with. In Experiment 1, source memory was specific for the particular type of negative context presented (i.e., cheating or disgusting behaviour). Experiment 2 showed that source memory for other-relevant negative information was more specific than source memory for self-relevant information. Thus, emotional source memory may vary in specificity depending on the degree to which the negative emotional context is perceived as threatening. (shrink)

Open peer commentary on the article “Constructing Constructivism” by Hugh Gash. Upshot: Gash’s retrospective analysis suggests a number of different roles for RC over the past thirty years. We outline three of these roles and then conduct a thought experiment to argue that while RC itself could be seen as a living theory that accommodates new ideas, its strongest contributions remain when it stays true to its roots and serves as a milestone along the path of educational paradigm shifts.

Assume V = L ⊨ ZF + DC + Θ > ω2 + μ is a normal fine measure on.

This paper argues that the augmented reality gaming application for smart devices, _Pokémon GO_ shows the fate of the legal subject as a neoliberal monster subjugated to the limitations imposed by hypercapitalism. The game, derived from Nintendo’s iconic Pokémon franchise, reveals the legal subject as a frenzied, diminished and impulsive being, allowed to see, move, catch and accumulate but unable to participate in more meaningful self-narration. It is not that the game is lawless, notwithstanding, anxieties in the semiosphere about users (...) trespassing or engaging in criminal behaviour. Rather the game is over structured and highly limited, both within its game-play which is repetitive and impulsive, and in its absence of narrative. Unlike the classic Nintendo Pokémon games which are within the role-playing game genre, _Pokémon GO_ abstracts the seeing, moving, catching and accumulating features of the classic games without the overarching narrative, questing and competition. In this _Pokémon GO_ manifests the transformation of the liberal legal subject of capitalism to the neoliberal subject of a digital orientated hypercapitalism where seeing, moving, catching and accumulating is immediate and impulsive, obliterating the ‘prudent’ subject participating in their own self-narration. (shrink)

The paper aims to explain how Paul Ricœur’s phenomenological and hermeneutic approach offers an original theory of the self as self-attestation. Considering useful an approach that combines the psychological uses of the notion of self with a reflection on one’s capacity to design himself/herself as a person, the paper offers a thorough analysis of Ricœur’s work Soi-même comme un autre / Oneself as Another. The main purpose of this analysis is to highlight that, drawing a clear distinction between two forms (...) of identity (la mêmeté/sameness and l’ipséité/selfhood) and proposing a dialectic between the self and the other, Ricœur grounds his theory on a notion of self which includes one’s acceptance of the other. (shrink)

La colonisation suivie du règne communiste a laissé sa marque sur l’ancienne Indochine française, constituée des trois pays Vietnam, Laos et Cambodge. Cet article vise à analyser la relation étroite entre des bouleversements politiques de la fin XIXe-début XXe siècle et l’évolution des institutions religieuses en Indochine, pour conclure sur l’interaction et l’influence réciproque entre politique et religieux.

L’article se propose de confronter l’herméneutique du sujet, telle qu’elle est définie par Ricœur dans son ouvrage Soi-même comme un autre à celle qui fait l’objet du cours donné par Michel Foucault en 1981-1982 au Collège de France. Il s’agit, sous la forme d’une conversation imaginaire, de préciser le sens donné par les deux auteurs à l’herméneutique du sujet et d’en dégager les implications sur la constitution du sujet, la conception de la liberté et le statut de l’éthique. L'argumentation s'appuie (...) sur l'ouvrage majeur Soi-même comme un autre , que Ricœur a élaboré dans la période qui correspond aux dernières œuvres de Foucault. This paper intends to compare the hermeneutics of the subject by Ricœur in Oneself as Another with the lessons given by Foucault at the Collège de France in 1981-1982 about The Hermeneutics of the Subject . Presented as an invented conversation, it tries to specify the meaning of both authors’ hermeneutics and to find their implications about the subject’s constitution, the conception of freedom and the status of ethics. The argumentation is based on the essential book Oneself as Another , conceived by Ricœur at the same time Foucault was writing his last works. (shrink)

This paper presents an overview of the process of entanglement at the 25th International Philosophy of Nursing Conference (IPNC) at University of California at Irvine held on August 18, 2022. Representing collective work from the US, Canada, UK and Germany, our panel entitled ‘What can critical posthuman philosophies do for nursing?’ examined critical posthumanism and its operations and potential in nursing. Critical posthumanism offers an antifascist, feminist, material, affective, and ecologically entangled approach to nursing and healthcare. Rather than focusing on (...) the arguments of each of the three distinct but interrelated panel presentation pieces, this paper instead focuses on process and performance (per/formance) and performativity as relational, connected and situated, with connections to nursing philosophy. Building upon critical feminist and new materialist philosophies, we describe intra‐activity and performativity as ways to dehierarchise knowledge making practices within traditional academic conference spaces. Creating critical cartographies of thinking and being are actions of possibility for building more just and equitable futures for nursing, nurses, and those they accompany—including all humans, nonhumans, and more than human matter. (shrink)

We construct divergent models of $\mathsf {AD}^+$ along with the failure of the Continuum Hypothesis ( $\mathsf {CH}$ ) under various assumptions. Divergent models of $\mathsf {AD}^+$ play an important role in descriptive inner model theory; all known analyses of HOD in $\mathsf {AD}^+$ models (without extra iterability assumptions) are carried out in the region below the existence of divergent models of $\mathsf {AD}^+$. Our results are the first step toward resolving various open questions concerning the length of definable prewellorderings (...) of the reals and principles implying $\neg \mathsf {CH}$, like $\mathsf {MM}$, that divergent models shed light on, see Question 5.1. (shrink)

This study describes the implementation of a curricular tool designed for students to develop civic engagement through running a social business in one fifth-grade classroom. The One Hen unit focuses on teaching elementary students the concept of social entrepreneurship through a project where students run their own social business to address a community need. This study has the potential to contribute to our understanding of how elementary students learn economics to increase civic engagement as the One Hen unit could lead (...) to students’ becoming more aware of problems in their community and to gain experience planning for civic action. (shrink)

It is common practice for social studies in the elementary school day to be integrated into other subject areas, especially language arts. Also common in an elementary school day are unstructured spaces such as snack time or recess. In this paper, we present findings from a larger study on social studies integration within various subject areas to explore how two teachers (first and fifth grade) integrated social studies into unstructured spaces. These teachers integrated social studies concepts and experiences into morning (...) work, community building, snack time, and after-lunch reading to varying degrees. This study provides an inroad for conversation among researchers, teacher educators, and practicing teachers about the ideals and reality of elementary social studies with the hope of deepening students’ experiences. (shrink)

Policies and position statements regarding decision-making for extremely premature babies exist in many countries and are often directive, focusing on parental choice and expected outcomes. These recommendations often state survival and handicap as reasons for optional intervention. The fact that such outcome statistics would not justify such approaches in other populations suggests that some other powerful factors are at work. The value of neonatal intensive care has been scrutinized far more than intensive care for older patients and suggests that neonatal (...) care is held to a higher standard of justification. The relative value placed on the life of newborns, in particular the preterm, is less than expected by any objective medical data or any prevailing moral frameworks about the value of individual lives. Why do we feel less obligated to treat the premature baby? Do we put newborns in a special and lesser moral category? We explore this question from a legal and ethical perspective and offer several hypotheses pertaining to personhood, reproductive choices, “precious children,” and probable evolutionary and anthropological factors. (shrink)

Kant’s treatment of laughter in section 54 of the Critique of Judgment is intriguing: he places laughter among the arts, but does not deem it serious enough to be a fine art. According to Kant, laughter is an agreeable art, and ministers only to the senses. But when he describes to us what laughter actually does, it turns out that this bodily phenomenon is actually a moral phenomenon akin to the sublime in that it elevates and humbles us at the (...) same time. This paper revisits Kant’s aesthetic themes, shows the distinctive role of laughter in the third Critique, and explores the possibilities of a true reunification of law and freedom through laughter. (shrink)

Ash's functions Nσ ,k count the number of k -equivalence classes of σ -structures of size n . Some conditions on their asymptotic behavior imply the long standing spectrum conjecture. We present a new condition which is equivalent to this conjecture and we discriminate some easy and difficult particular cases.

The main result of this paper is Theorem, which shows that it is possible for derived models to satisfy “ω1 is ‐supercompact”. Other constructions of models of this theory are also discussed; in particular, Theorem constructs a normal fine measure on and hence a model of “Θ is regular”+“ω1 is ‐supercompact” from a model of “Θ is measurable”.

In this paper, we explore the structure theory ofL under the hypothesisL ⊧ “AD +μis a normal fine measure on” and give some applications. First we show that “ ZFC + there existω2Woodin cardinals”1has the same consistency strength as “ AD +ω1is ℝ-supercompact”. During this process we show that ifL ⊧ AD then in factL ⊧ AD+. Next we prove important properties ofL including Σ1-reflection and the uniqueness ofμinL. Then we give the computation of full HOD inL. Finally, we use (...) Σ1-reflection and ℙmaxforcing to construct a certain ideal on that has the same consistency strength as “ZFC+ there existω2Woodin cardinals.”. (shrink)