Scales in K(ℝ) at the end of a weak gap

2008 ◽  
Vol 73 (2) ◽  
pp. 369-390 ◽  
Author(s):  
J. R. Steel
Keyword(s):  
Induction Hypothesis ◽  
The Other ◽  
Core Model ◽  
The Core ◽  
Woodin Cardinals ◽  
Other Hand

In this note we shall proveTheorem 0.1. Letbe a countably ω-iterable-mouse which satisfies AD, and [α, β] a weak gap of. Supposeis captured by mice with iteration strategies in ∣α. Let n be least such that ; then we have that believes that has the Scale Property.This complements the work of [5] on the construction of scales of minimal complexity on sets of reals in K(ℝ). Theorem 0.1 was proved there under the stronger hypothesis that all sets definable over are determined, although without the capturing hypothesis. (See [5, Theorem 4.14].) Unfortunately, this is more determinacy than would be available as an induction hypothesis in a core model induction. The capturing hypothesis, on the other hand, is available in such a situation. Since core model inductions are one of the principal applications of the construction of optimal scales, it is important to prove 0.1 as stated.Our proof will incorporate a number of ideas due to Woodin which figure prominently in the weak gap case of the core model induction. It relies also on the connection between scales and iteration strategies with the Dodd-Jensen property first discovered in [3]. Let be the pointclass at the beginning of the weak gap referred to in 0.1. In section 1, we use Woodin's ideas to construct a Γ-full a mouse having ω Woodin cardinals cofinal in its ordinals, together with an iteration strategy Σ which condenses well in the sense of [4, Def. 1.13]. In section 2, we construct the desired scale from and Σ.

The Salvage of Ideas: Schumpeter and the Core Problems Still Confronting Economics

2003 ◽  
pp. 15-26
Author(s):  
P. Wynarczyk
Keyword(s):  
The Other ◽  
The Core ◽  
Other Hand ◽  
The One

Two aspects of Schumpeter' legacy are analyzed in the article. On the one hand, he can be viewed as the custodian of the neoclassical harvest supplementing to its stock of inherited knowledge. On the other hand, the innovative character of his works is emphasized that allows to consider him a proponent of hetherodoxy. It is stressed that Schumpeter's revolutionary challenge can lead to radical changes in modern economics.

The Challenge of Terror: A Traveling Essay

2005 ◽  
Author(s):  
John Lederach
Keyword(s):  
Current Situation ◽  
The Other ◽  
Initial Reaction ◽  
Psychological Processes ◽  
Global System ◽  
Basic Trust ◽  
Finger Nail ◽  
The Core ◽  
Other Hand

So here I am, a week late arriving home, stuck between Colombia, Guatemala and Harrisonburg when our world changed. The images flash even in my sleep. The heart of America ripped. Though natural, the cry for revenge and the call for the unleashing of the first war of this century, prolonged or not, seems more connected to social and psychological processes of finding a way to release deep emotional anguish, a sense of powerlessness, and our collective loss than it does as a plan of action seeking to redress the injustice, promote change and prevent it from ever happening again. I am stuck from airport to airport as I write this, the reality of a global system that has suspended even the most basic trust. My Duracell batteries and finger nail clippers were taken from me today and it gave me pause for thought. I had a lot of pauses in the last few days. Life has not been the same. I share these thoughts as an initial reaction recognizing that it is always easy to take pot-shots at our leaders from the sidelines, and to have the insights they are missing when we are not in the middle of very difficult decisions. On the other hand, having worked for nearly 20 years as a mediator and proponent of nonviolent change in situations around the globe where cycles of deep violence seem hell-bent on perpetuating themselves, and having interacted with people and movements who at the core of their identity find ways of justifying their part in the cycle, I feel responsible to try to bring ideas to the search for solutions. With this in mind I should like to pen several observations about what I have learned from my experiences and what they might suggest about the current situation. I believe this starts by naming several key challenges and then asking what is the nature of a creative response that takes these seriously in the pursuit of genuine, durable, and peaceful change.

scholarly journals Grammaticalization of syntactic conflict resolution: Asymmetric constructions

2013 ◽  
pp. 115-135
Author(s):  
I.M. Boguslavskij
Keyword(s):  
Conflict Resolution ◽  
Intermediate Position ◽  
The Other ◽  
Semantic Structure ◽  
The Core ◽  
Other Hand ◽  
Principal Property ◽  
The One

We consider Russian coordinative constructions with paired conjunctions, such as i?i ?both?and?, ili?ili ?either?or?, ni?ni ?neither?nor?, ne tol'ko?no i ?not only?but also?, ne?a ?not?but?, etc. The paper presents a class of syntactic constructions, so-called asymmetric constructions, which are interesting in several respects. They are closely related to coordinative constructions, although they do not share their principal property - the identity of syntactic functions of coordinated elements. They take up an intermediate position between standard syntax and ungrammaticality. On the one hand, the sentence is within the grammatical norm. On the other hand, its structure underwent a deformation that left a trace. We propose a description that accounts for their closeness to and difference from standard - symmetric - constructions. Symmetric constructions with paired conjunctions are convenient to describe as a result of two transformations occurring in the semantic structure: Deletion and Transfer. Asymmetric constructions are obtained when only one of these transformations is applied. Accordingly, two subclasses of asymmetric constructions can be distinguished - ?Deletion-Without-Transfer? constructions and ?Transfer-Without-Deletion? constructions. The latter class has a strong pragmatic marking. The core of this class are ?failed? symmetric constructions. The speaker begins to build a symmetric construction but faces an obstacle of syntactic nature, which prevents him from completing this plan. ?Transfer-Without-Deletion? constructions constitute a legalized way of overcoming syntactic conflicts.

scholarly journals Representation of an Unrecognized State under International Law – Example of the Republic of Artsakh

2020 ◽  
Vol 8 (1) ◽  
pp. 45-63
Author(s):  
Stefania Kolarz
Keyword(s):  
International Law ◽  
International Community ◽  
The Other ◽  
Legal Representative ◽  
The Core ◽  
Other Hand ◽  
The Republic

Since the late 80s, the Armenian inhabitants of Nagorno-Karabakh, a region situated within the internationally recognised borders of the Republic of Azerbaijan, have been struggling for creating their own state – the Republic of Artsakh. The fact that this self-proclaimed entity was not recognised by any of the international actors has not prevented it from constantly committing to intervene on the international plane, separately from Yerevan and Baku. For instance, it is the co-signatory of the Bishkek Protocol. On the other hand, it was refused participation in the core undertaking of the international community designed to settle the dispute – the OSCE Minsk process. The aforementioned situation raises the question as to who shall act as a legal representative of this quasi-state on the international plane? Azerbaijan, as the official centre of authority within the region, Armenia, or rather the separatist government of Nagorno-Karabakh?

scholarly journals Ideas for integrating meaningful immediate repetition tasks in the English as an additional language classroom: promoting fluency

2019 ◽  
Vol 10 (2) ◽  
pp. 32988
Author(s):  
Rafael Zaccaron
Keyword(s):  
Language Learning ◽  
Language Teaching ◽  
The Other ◽  
Teaching Approaches ◽  
The Core ◽  
Contemporary Research ◽  
Other Hand ◽  
Language Classroom ◽  
Speaking Skill

Although repetition is at the core of many different approaches to language learning, either implicitly or not, using this pedagogic practice in the additional language classroom is still negatively perceived by some teachers (Bygate and Samuda, 2005). For contemporary research, on the other hand, the use ofrepetition is not incongruous with communicative additional language teaching approaches that bring the use of tasks to the forefront. The use of immediate repeated tasks can benefit learners because it allows the possibility of repeating slightly altered tasks in a meaningful way. Bearing this in mind, this paper describes three immediate repetition tasks that focus on the speaking skill aiming at developing both fluency and accuracy. All are inherently suited for the additional language classroom and can be easily adapted to better suit specific contexts.

Liberalism and the Family

Family Values ◽  
2014 ◽  
Author(s):  
Harry Brighouse ◽  
Adam Swift
Keyword(s):  
The Other ◽  
Parental Rights ◽  
Moral Concern ◽  
The Core ◽  
Other Hand ◽  
The Family ◽  
Exit Option ◽  
The One ◽  
Parent Child Relationships ◽  
Parent Child

This chapter sets out the ways in which the family might be thought to pose problems for the liberal framework, and defends the adoption of that framework from the objection that it simply cannot do justice to—or, perhaps, fails adequately to care about—the ethically significant phenomena attending parent–child relationships. On the one hand, liberalism takes individuals to be the fundamental objects of moral concern, and the rights it claims people have are primarily rights of individuals over their own lives: the core liberal idea is that it is important for individuals to exercise their own judgment about how they are to live. On the other hand, parental rights are rights over others, they are rights over others who have no realistic exit option, and they are rights over others whose capacity to make their own judgments about how they are to live their lives is no less important than that of the adults raising them.

Der Wiederaufbau von Florenz 1945

Architectura ◽  
2016 ◽  
Vol 46 (1) ◽  
pp. 72-103
Author(s):  
Elmar Kossel
Keyword(s):  
Basic Characteristic ◽  
Democratic Society ◽  
The Other ◽  
Architectural Heritage ◽  
The Core ◽  
Other Hand ◽  
Post War ◽  
The One ◽  
German Wehrmacht

AbstractFlorence suffered heavy destruction due to blasting by the german Wehrmacht in the area around the Ponte Vecchio in 1944. On the question of how the historic, in the core medieval buildings should be rebuilt, a vigorous debate was ignited, which also was intensively conducted in public. The debates core was about the question of wether the old center should be reconstructed exactly as it was or should a modern and contemporary solution be given priority. The art historian Bernhard Berenson and the archeologist Ranuccio Bianchi Bandinelli exemplified the position in the debate for the Florentine context. Linked to this discussion was also the question, how Italy would present itself after war and fascism as a new and democratic society. The built result can be seen as a compromise of these positions, as the new architecture is added in the center emphasized inconspicuousDespite the consistently negative reception, it was possible to dissociate oneself in two respects from this locally located variety of post-war modernity: On the one hand, the international architectural scene and, on the other hand, its own architectural heritage which is contaminated by fascism. The reference to its own architectural heritage and the very independent appropriation of international influences should remain the basic characteristic of the »Scuola Fiorentina« until the mid-1970s

Core models in the presence of Woodin cardinals

2006 ◽  
Vol 71 (4) ◽  
pp. 1145-1154
Author(s):  
Ralf Schindler
Keyword(s):  
Measurable Cardinal ◽  
Core Model ◽  
The Core ◽  
Woodin Cardinals

AbstractLet 0 < n < ω. If there are n Woodin cardinals and a measurable cardinal above, but doesn't exist, then the core model K exists in a sense made precise. An Iterability Inheritance Hypothesis is isolated which is shown to imply an optimal correctness result for K.

Iterates of the core model

2006 ◽  
Vol 71 (1) ◽  
pp. 241-251 ◽  
Author(s):  
Ralf Schindler
Keyword(s):  
Core Model ◽  
Elementary Embedding ◽  
The Core ◽  
Transitive Model ◽  
Woodin Cardinals

AbstractLet N be a transitive model of ZFC such that “N ⊂ N and P(ℝ) ⊂ N. Assume that both V and N satisfy “the core model K exists.” Then KN is an iterate of K, i.e., there exists an iteration tree F on K such that F has successor length and . Moreover, if there exists an elementary embedding π: V → N then the iteration map associated to the main branch of F equals π յ K. (This answers a question of W. H. Woodin, M. Gitik, and others.) The hypothesis that P(ℝ) ⊂ N is not needed if there does not exist a transitive model of ZFC with infinitely many Woodin cardinals.

scholarly journals Bilingual (English to Bengali) Technical E- Dictionary for Aviation OOV Words

2019 ◽  
Vol 9 (2) ◽  
pp. 3777-3781
Keyword(s):  
The Other ◽  
The Core ◽  
Other Hand ◽  
Almost All ◽  
Multiple Languages ◽  
Dictionary Translation

E-dictionaries, quite common today are available for multiple languages in monolingual, bilingual and multilingual forms. In NLP they form the core of a series of tools that are used to understand words, sentences and in turn the language itself. These E-Dictionaries work well for any language domain as a whole. For almost all languages E-dictionaries are available, but once specialized technical domains are encountered these E-Dictionaries are quite useless. Aviation is one such specialized domain for which no E-Dictionary, translation or transliteration tool exist. On the other hand the need for such tools for specialized domains are increasing. The tool discussed in this paper is an attempt to bridge the gap that currently exists between English and Bengali languages.

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