scholarly journals Falantxs Transviadxs: Linguística Queer e performatividades monstruosas

2020 ◽  
Vol 21 (2) ◽  
pp. 388-409
Author(s):  
Rodrigo Borba
Keyword(s):  
Normal Ideal

Este artigo apresenta o conceito de falantxs transviadxs, que oferece possibilidades analíticas para entendermos como pessoas em suas práticas locais negociam sentidos para quem são vis-à-vis normas que limitam o que podem/devem fazer e como podem/devem falar/escrever, circunscrevendo as fronteiras entre o normal/ideal e o abjeto/monstruoso. O artigo propõe uma perspectiva analítica queer guiada pelos conceitos de indexicalidade e corporificação. Revisito dados gerados em uma pesquisa etnográfica sobre prevenção de infecções sexualmente transmissíveis entre travestis com o intuito de entender como performances transviadas (i.e. aquelas que reviram e misturam múltiplos repertórios linguísticos e bagunçam regimes de ordenação do comportamento generificado) emergem e a que propósitos servem localmente.

On BF-algebras

2007 ◽  
Vol 57 (2) ◽  
Author(s):  
Andrzej Walendziak
Keyword(s):  
Normal Ideal

AbstractIn this paper we introduce the notion of BF-algebras, which is a generalization of B-algebras. We also introduce the notions of an ideal and a normal ideal in BF-algebras. We investigate the properties and characterizations of them.

scholarly journals IDEAL PROJECTIONS AND FORCING PROJECTIONS

2014 ◽  
Vol 79 (4) ◽  
pp. 1247-1285 ◽  
Author(s):  
SEAN COX ◽  
MARTIN ZEMAN
Keyword(s):  
Set Theory ◽  
Negative Answer ◽  
Large Cardinals ◽  
Normal Ideal ◽  
List Type ◽  
Type Number ◽  
Inner Model ◽  
Image Position ◽  
Open Question ◽  
Woodin Cardinal

AbstractIt is well known that saturation of ideals is closely related to the “antichain-catching” phenomenon from Foreman–Magidor–Shelah [10]. We consider several antichain-catching properties that are weaker than saturation, and prove:(1)If${\cal I}$is a normal ideal on$\omega _2 $which satisfiesstationary antichain catching, then there is an inner model with a Woodin cardinal;(2)For any$n \in \omega $, it is consistent relative to large cardinals that there is a normal ideal${\cal I}$on$\omega _n $which satisfiesprojective antichain catching, yet${\cal I}$is not saturated (or even strong). This provides a negative answer to Open Question number 13 from Foreman’s chapter in the Handbook of Set Theory ([7]).

scholarly journals Standard Ideals in BCL+ Algebras

2016 ◽  
Vol 8 (2) ◽  
pp. 37
Author(s):  
Yonghong Liu
Keyword(s):  
Proper Ideal ◽  
Normal Ideal ◽  
Normal Extension

We show some useful properties of these ideals that give various methods how to get ideals from them, and so our main aim is to study their properties. Here, we introduce these ideals i.e., the natural ideal, normal ideal, former ideal (and its doublet, latter ideal), proper ideal, normal extension ideal, normal uptake ideal. In particular, we introduce Boolean ideal and normal Boolean ideal to grasp the diversity of ideal for BCL+ algebras. As a means, we can define quotient BCL+ algebras only in terms of ideal, and we discuss its structure.

Some Types of Ideals in QI-Algebras

2020 ◽  
pp. 275-287
Author(s):  
Ravikumar Bandaru
Keyword(s):  
Normal Ideal ◽  
Smallest Ideal

In this chapter, ideals of QI-algebra are considered. Given a subset of a right distributive QI-algebra, the smallest ideal containing it is constructed. Also, the notions of implicative ideal, fantastic ideal, and normal ideal in a right distributive QI-algebra are introduced, and the authors proved that these notions are equivalent.

Some pathological examples of precipitous ideals

2008 ◽  
Vol 73 (2) ◽  
pp. 492-511 ◽  
Author(s):  
Moti Gitik
Keyword(s):  
Measurable Cardinal ◽  
Normal Ideal ◽  
Precipitous Ideal ◽  
Precipitous Ideals

AbstractWe construct a model with an indecisive precipitous ideal and a model with a precipitous ideal with a non precipitous normal ideal below it. Such kind of examples were previously given by M. Foreman [2] and R. Laver [4] respectively. The present examples differ in two ways: first- they use only a measurable cardinal and second- the ideals are over a cardinal. Also a precipitous ideal without a normal ideal below it is constructed. It is shown in addition that if there is a precipitous ideal over a cardinal κ such that• after the forcing with its positive sets the cardinality of κ remains above ℵ1• there is no a normal precipitous ideal then there is 0†.

An ideal characterization of Mahlo cardinals

1989 ◽  
Vol 54 (2) ◽  
pp. 467-473 ◽  
Author(s):  
Qi Feng
Keyword(s):  
Regular Cardinal ◽  
Normal Ideal ◽  
Mahlo Cardinal ◽  
Mahlo Cardinals

AbstractWe show that a cardinal κ is a (strongly) Mahlo cardinal if and only if there exists a nontrivial κ-complete κ-normal ideal on κ. Also we show that if κ is Mahlo and λ ≧ κ and λ<κ = λ then there is a nontrivial κ-complete κ-normal fine ideal on Pκ(λ). If κ is the successor of a cardinal, we consider weak κ-normality and prove that if κ = μ+ and μ is a regular cardinal then (1) μ< μ = μ if and only if there is a nontrivial κ-complete weakly κ-normal ideal on κ, and (2) if μ< μ = μ < λ<μ = λ then there is a nontrivial κ-complete weakly κ-normal fine ideal on Pκ(λ).

Properties of subtle cardinals

1987 ◽  
Vol 52 (4) ◽  
pp. 1005-1019 ◽  
Author(s):  
Claudia Henrion
Keyword(s):  
Large Cardinal ◽  
Normal Ideal ◽  
Mahlo Cardinal ◽  
Normal Ideals

Subtle cardinals were first introduced in a paper by Jensen and Kunen [JK]. They show that ifκis subtle then ◇κholds. Subtle cardinals also play an important role in [B1], where Baumgartner proposed that certain large cardinal properties should be considered as properties of their associated normal ideals. He shows that in the case of ineffables, the ideals are particularly useful, as can be seen by the following theorem,κis ineffable if and only ifκis subtle andΠ½-indescribableandthe subtle andΠ½-indescribable ideals cohere, i.e. they generate a proper, normal ideal (which in fact turns out to be the ineffable ideal).In this paper we examine properties of subtle cardinals and consider methods of forcing that destroy the property of subtlety while maintaining other properties. The following is a list of results.1) We relativize the following two facts about subtle cardinals:i) ifκisn-subtle then {α<κ:αis notn-subtle} isn-subtle, andii) ifκis (n+ 1)-subtle then {α<κ:αisn-subtle} is in the (n+ 1)-subtle filter to subsets ofκ:i′) ifAis ann-subtle subset ofκthen {α ϵ A:A∩αis notn-subtle} isn-subtle, andii′) ifAis an (n+ 1)-subtle subset ofκthen {α ϵ A:A∩αisn-subtle} is (n+ 1)-subtle.2) We show that although a stationary limit of subtles is subtle, a subtle limit of subtles is not necessarily 2-subtle.3) In §3 we use the technique of forcing to turn a subtle cardinal into aκ-Mahlo cardinal that is no longer subtle.4) In §4 we extend the results of §3 by showing how to turn an (n+ 1)-subtle cardinal into ann-subtle cardinal that is no longer (n+ 1)-subtle.

Stationary reflection and ideals

1994 ◽  
Vol 59 (1) ◽  
pp. 182-184
Author(s):  
Shu-Guo Zhang
Keyword(s):  
Normal Ideal ◽  
Stationary Reflection

AbstractIn this paper we show that if there is a weakly normal ideal on κ then for each fails. This greatly improves a theorem of C. A. Johnson.

scholarly journals Fat sets and saturated ideals

2003 ◽  
Vol 68 (3) ◽  
pp. 837-845 ◽  
Author(s):  
John Krueger
Keyword(s):  
Stationary Subset ◽  
Normal Ideal ◽  
Singular Cardinal

AbstractWe strengthen a theorem of Gitik and Shelah [6] by showing that if κ is either weakly inaccessible or the successor of a singular cardinal and S is a stationary subset of κ such that NSκ↾S is saturated then κ ∖ S is fat. Using this theorem we derive some results about the existence of fat stationary sets. We then strengthen some results due to Baumgartner and Taylor [2], showing in particular that if I is a λ+++-saturated normal ideal on Pκλ then the conditions of being λ+-preserving, weakly presaturated, and presaturated are equivalent for I.

Saturated ideals and the singular cardinal hypothesis

1992 ◽  
Vol 57 (3) ◽  
pp. 970-974 ◽  
Author(s):  
Yo Matsubara
Keyword(s):  
Large Cardinal ◽  
Inaccessible Cardinal ◽  
Elementary Embedding ◽  
Normal Ideal ◽  
Singular Cardinal ◽  
Strongly Compact Cardinal ◽  
Compact Cardinal ◽  
Singular Cardinal Hypothesis ◽  
Generic Filter ◽  
Generic Ultrapowers

The large cardinal-like properties of saturated ideals have been investigated by various authors, including Foreman [F], and Jech and Prikry [JP], among others. One of the most interesting consequences of a strongly compact cardinal is the following theorem of Solovay [So2]: if a strongly compact cardinal exists then the singular cardinal hypothesis holds above it. In this paper we discuss the question of relating the existence of saturated ideals and the singular cardinal hypothesis. We will show that the existence of “strongly” saturated ideals implies the singular cardinal hypothesis. As a biproduct we will present a proof of the above mentioned theorem of Solovay using generic ultrapowers. See Jech and Prikry [JP] for a nice exposition of generic ultrapowers. We owe a lot to the work of Foreman [F]. We would like to express our gratitude to Noa Goldring for many helpful comments and discussions.Throughout this paper we assume that κ is a strongly inaccessible cardinal and λ is a cardinal >κ. By an ideal on κλ we mean a κ-complete fine ideal on Pκλ. For I an ideal on κλ let PI denote the poset of I-positive subsets of κλ.Definition. Let I be an ideal on κλ. We say that I is a bounding ideal if 1 ⊩-PI “δ(δ is regular cardinal ”.We can show that if a normal ideal is “strongly” saturated then it is bounding.Theorem 1. If 1 is an η-saturated normal ideal onκλ, where η is a cardinal <λsuch that there are fewer thanκmany cardinals betweenκand η (i.e. η < κ+κ), then I is bounding.Proof. Let I be such an ideal on κλ. By the work of Foreman [F] and others, we know that every λ+-saturated normal ideal is precipitous. Suppose G is a generic filter for our PI. Let j: V → M be the corresponding generic elementary embedding. By a theorem of Foreman [F, Lemma 10], we know that Mλ ⊂ M in V[G]. By η-saturation, cofinalities ≥η are preserved; that is, if cfvα ≥ η, then cfvα = cfv[G]α. From j ↾ Vκ being the identity on Vκ and M being λ-closed in V[G], we conclude that cofinalities <κ are preserved. Therefore if cfvα ≠ cfv[G]α then κ ≤ cfvα < η.

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