Dentre todas as possibilidades de ação feminista, há a militância em espaço público e a prática em apoio às mulheres, bem como a levada de consciência sobre pautas feministas para as mulheres, tanto no âmbito privado como no público. Esta era a abordagem de Andrea Dworkin, que proferia discursos em marchas e levava suas próprias experiências para o âmbito da escrita, sua prática profissional. A mesma abordagem era utilizada por Suzanne Lacy, artista contemporânea que, através de instalações urbanas, realizava suas (...) ações de militância combinada à arte. Este trabalho visa traçar parâmetros comuns entre estas duas mulheres, focando em suas pautas e na reverberação de seus trabalhos um em relação ao outro, bem como na sociedade.Palavras-chave: Público. Arte Contemporânea. Feminismo. AbstractAmongst all possibilities of feminist action there’s the militant strategy: to take the word of action into the public space, to act in women’s aid, to talk to your target audience and bring your discourse to the people. That was Andrea Dworkin’s strategy, who would bring her speeches into women’s marches and take her experience into her writing, which was her profession. The same strategy was taken by Suzanne Lacy, contemporary artist who focuses on urban installations to mix political and artistic action. This paper correlates these two authors, focusing on their preferred subjects and how their works reverberated together and in society.Keywords: Public. Contemporary Art. Feminism. (shrink)

We survey the use of club guessing and other PCF constructs in the context of showing that a given partially ordered class of objects does not have a largest, or a universal, element.

This paper investigates a connection between the semantic notion provided by the ordering * among theories in model theory and the syntactic SOPn hierarchy of Shelah. It introduces two properties which are natural extensions of this hierarchy, called SOP2 and SOP1. It is shown here that SOP3 implies SOP2 implies SOP1. In Shelah's article 229) it was shown that SOP3 implies *-maximality and we prove here that *-maximality in a model of GCH implies a property called SOP2″. It has been (...) subsequently shown by Shelah and Usvyatsov that SOP2″ and SOP2 are equivalent, so obtaining an implication between *-maximality and SOP2. It is not known if SOP2 and SOP3 are equivalent. Together with the known results about the connection between the SOPn hierarchy and the existence of universal models in the absence of GCH, the paper provides a step toward the classification of unstable theories without the strict order property. (shrink)

The paper is concerned with the existence of a universal graph at the successor of a strong limit singular μ of cofinality ℵ0. Starting from the assumption of the existence of a supercompact cardinal, a model is built in which for some such μ there are $\mu^{++}$ graphs on μ+ that taken jointly are universal for the graphs on μ+, while $2^{\mu^+} \gg \mu^{++}$ . The paper also addresses the general problem of obtaining a framework for consistency results at the (...) successor of a singular strong limit starting from the assumption that a supercompact cardinal κ exists. The result on the existence of universal graphs is obtained as a specific application of a more general method. (shrink)

If κ is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which κ fails. This result continues the progression of the corresponding results for weakly compact cardinals, due to Woodin, and for indescribable cardinals, due to Hauser.

Suppose that λ=λ <λ ≥ℵ0, and we are considering a theory T. We give a criterion on T which is sufficient for the consistent existence of λ++ universal models of T of size λ+ for models of T of size ≤λ+, and is meaningful when 2λ +>λ++. In fact, we work more generally with abstract elementary classes. The criterion for the consistent existence of universals applies to various well known theories, such as triangle-free graphs and simple theories. Having in mind (...) possible applications in analysis, we further observe that for such λ, for any fixed μ>λ+ regular with μ=μλ+, it is consistent that 2λ=μ and there is no normed vector space over ℚ of size <μ which is universal for normed vector spaces over ℚ of dimension λ+ under the notion of embedding h which specifies (a,b) such that ||h(x)/||x∈(a,b) for all x. (shrink)

Suppose that λ is the successor of a singular cardinal μ whose cofinality is an uncountable cardinal κ. We give a sufficient condition that the club filter of λ concentrating on the points of cofinality κ is not λ+-saturated.1 The condition is phrased in terms of a notion that we call weak reflection. We discuss various properties of weak reflection. We introduce a weak version of the ♣-principle, which we call ♣*−, and show that if it holds on a stationary (...) subset S of λ, then no normal filter on S is λ+-saturated. Under the above assumptions, ♣*− is true for any stationary subset S of λ which does not contain points of cofinality κ. For stationary sets S which concentrate on points of cofinality κ, we show that ♣*− holds modulo an ideal obtained through the weak reflection. (shrink)

We consider various versions of the ♣ principle. This principle is a known consequence of $\lozenge$ . It is well known that $\lozenge$ is not sensitive to minor changes in its definition, e.g., changing the guessing requirement form "guessing exactly" to "guessing modulo a finite set". We show however, that this is not true for ♣. We consider some other variants of ♣ as well.

This book, published in 2019 as an open-access edition of the Fordham University Press, attracts by its title. Imagination, as we mathematicians know only too w.

We give a construction of the square principle by means of forcing with finite conditions.

We introduce the oak property of first order theories, which is a syntactical condition that we show to be sufficient for a theory not to have universal models in cardinality λ when certain cardinal arithmetic assumptions about λ implying the failure of GCH hold. We give two examples of theories that have the oak property and show that none of these examples satisfy SOP4, not even SOP3. This is related to the question of the connection of the property SOP4 to (...) non-universality, as was raised by the earlier work of Shelah. One of our examples is the theory for which non-universality results similar to the ones we obtain are already known; hence we may view our results as an abstraction of the known results from a concrete theory to a class of theories. We show that no theory with the oak property is simple. (shrink)

We show the relative consistency of ℵ1 satisfying a combinatorial property considered by David Fremlin (in the question DU from his list) in certain choiceless inner models. This is demonstrated by first proving the property is true for Ramsey cardinals. In contrast, we show that in ZFC, no cardinal of uncountable cofinality can satisfy a similar, stronger property. The questions considered by D. H. Fremlin are if families of finite subsets of ω1 satisfying a certain density condition necessarily contain all (...) finite subsets of an infinite subset of ω1, and specifically if this and a stronger property hold under MA + ¬CH. Towards this we show that if MA + ¬CH holds, then for every family ? of ℵ1 many infinite subsets of ω1, one can find a family ? of finite subsets of ω1 which is dense in Fremlins sense, and does not contain all finite subsets of any set in ?.We then pose some open problems related to the question. (shrink)

We prove consistent, assuming there is a supercompact cardinal, that there is a singular strong limit cardinal $\mu$ , of cofinality $\omega$ , such that every $\mu^{+}$ -chromatic graph X on $\mu^{+}$ has an edge colouring c of X into $\mu$ colours for which every vertex colouring g of X into at most $\mu$ many colours has a g-colour class on which c takes every value. The paper also contains some generalisations of the above statement in which $\mu^{+}$ is replaced (...) by other cardinals < $\mu$. (shrink)

Let κ be a singular cardinal. Karp's notion of a chain model of size κ is defined to be an ordinary model of size κ along with a decomposition of it into an increasing union of length cf. With a notion of satisfaction and -isomorphism such models give an infinitary logic largely mimicking first order logic. In this paper we associate to this logic a notion of a dynamic EF-game which gauges when two chain models are chain-isomorphic. To this game (...) is associated a tree which is a tree of size κ with no κ-branches -branches). The measure of how non-isomorphic the models are is reflected by a certain order on these trees, called reduction. We study the collection of trees of size κ with no κ-branches under this notion and prove that when cf = ω this collection is rather regular; in particular it has universality number exactly κ+. Such trees are then used to develop a descriptive set theory of the space cf κ. The main result of the paper gives in the case of κ strong limit singular an exact connection between the descriptive set-theoretic complexity of the chain isomorphism orbit of a model, the reduction order on the trees and winning strategies in the corresponding dynamic EF games. In particular we obtain a neat analog of the notion of Scott watershed from the Scott analysis of countable models. (shrink)

A wide Aronszajn tree is a tree of size and height $\omega _{1}$ with no uncountable branches. We prove that under $MA$ there is no wide Aronszajn tree which is universal under weak embeddings. This solves an open question of Mekler and Väänänen from 1994. We also prove that under $MA$, every wide Aronszajn tree weakly embeds in an Aronszajn tree, which combined with a result of Todorčević from 2007, gives that under $MA$ every wide Aronszajn tree embeds into a (...) Lipschitz tree or a coherent tree. We also prove that under $MA$ there is no wide Aronszajn tree which weakly embeds all Aronszajn trees, improving the result in the first paragraph as well as a result of Todorčević from 2007 who proved that under $MA$ there are no universal Aronszajn trees. (shrink)

We investigate strictly positive finitely additive measures on Boolean algebras and strictly positive Radon measures on compact zerodimensional spaces. The motivation is to find a combinatorial characterisation of Boolean algebras which carry a strictly positive finitely additive finite measure with some additional properties, such as separability or nonatomicity. A possible consistent characterisation for an algebra to carry a separable separable positive measure was suggested by Talagrand in 1980, which is that the Stone space K of the algebra satisfies that its (...) space M(K) of measures is weakly separable, equivalently that C(K) embeds into l∞. We show that there is a ZFC example of a Boolean algebra (so of a compact space) which satisfies this condition and does not support a separable strictly positive measure. However, we use this property as a tool in a proof which shows that under MA+⇁ CH every atomless ccc Boolean algebra of size < c carries a nonatomic strictly positive measure. Examples are given to show that this result does not hold in ZFC. Finally, we obtain a characterisation of Boolean algebras that carry a strictly positive nonatomic measure in terms of a chain condition, and we draw the conclusion that under MA+⇁ CH every atomless ccc Boolean algebra satisfies this stronger chain condition. (shrink)

The status of independent statements is the main problem in the philosophy of set theory. We address this problem by presenting the perspective of a practising set theorist. We thus give an authentic insight in the current state of thinking in set-theoretic practice, which is to a large extent determined by independence results. During several meetings, the second author asked the first author about the development of forcing, the use of new axioms and set-theoretic intuition on independence. Parts of these (...) conversations are directly presented in this article. They are supplemented by important mathematical results as well as discussion sections. Finally, we present three hypotheses about set-theoretic practice: First, that most set theorists were surprised by the introduction of the forcing method. Second, that most set theorists think that forcing is a natural part of contemporary set theory. Third, that most set theorists prefer an answer to a problem with the help of a new axiom of lowest possible consistency strength, and that for most set theorists, a difference in consistency strength weighs much more than the difference between Forcing Axiom and Large Cardinal Axiom. (shrink)

The status of independent statements is the main problem in the philosophy of set theory. We address this problem by presenting the perspective of a practising set theorist. We thus give an authentic insight in the current state of thinking in set-theoretic practice, which is to a large extent determined by independence results. During several meetings, the second author asked the first author about the development of forcing, the use of new axioms and set-theoretic intuition on independence. Parts of these (...) conversations are directly presented in this article. They are supplemented by important mathematical results as well as discussion sections. Finally, we present three hypotheses about set-theoretic practice: First, that most set theorists were surprised by the introduction of the forcing method. Second, that most set theorists think that forcing is a natural part of contemporary set theory. Third, that most set theorists prefer an answer to a problem with the help of a new axiom of lowest possible consistency strength, and that for most set theorists, a difference in consistency strength weighs much more than the difference between Forcing Axiom and Large Cardinal Axiom. (shrink)

U radu je istražen utjecaj završenog srednjoškolskog obrazovanja i dobi/godine studije na interkulturalnu efikasnost studenata i njihove preferencije glazbi svijeta, zatim povezanost između interkulturalne efikasnosti i preferencija glazbi svijeta te utjecaj poznatosti na preferencije glazbenih ulomaka. Istraživanje je provedeno na uzorku studenata različitih fakulteta Sveučilišta u Splitu i Sveučilišta u Zagrebu, pomoću upitnika sastavljenog od tri dijela: Upitnik općih podataka, Upitnik interkulturalne efikasnosti te Upitnik za ispitivanje glazbenih preferencija. Rezultati ne potvrđuju utjecaj vrste završene srednje škole ni dobi/ godine studija (...) na razinu interkulturalne efikasnosti studenata, niti na njihove preferencije glazbi svijeta. Potvrđeno je postojanje povezanosti između razine interkulturalne efikasnosti i preferencija glazbi svijeta te između poznavanja glazbe i preferencija glazbenih ulomaka. Dobiveni rezultati imaju značajne glazbeno-pedagoške implikacije, posebno u kontekstu visokoškolskog obrazovanja. The paper explored the influence of high school education and age/year of study on students’ intercultural effectiveness and their world music preferences, the relationship between intercultural effectiveness and world music preferences, and the influence of familiarity of music on music preferences. The research was conducted on a sample of students from different faculties of the University of Split and the University of Zagreb, using a questionnaire composed of three parts: The Sociodemographic Questionnaire, The Intercultural Effectiveness Scale and The Music preferences Questionnaire. The results do not confirm the influence of the type of high school education or age/year of study on the level of the students’ intercultural effectiveness, nor on their world music preferences. The existence of a relationship between the level of students’ intercultural effectiveness, world music preferences and between familiarity of music and music preferences has been confirmed. The obtained results have significant implications for music pedagogy, especially in the context of higher education. (shrink)

The paper explored the influence of high school education and age/year of study on students’ intercultural effectiveness and their world music preferences, the relationship between intercultural effectiveness and world music preferences, and the influence of familiarity of music on music preferences. The research was conducted on a sample of students from different faculties of the University of Split and the University of Zagreb, using a questionnaire composed of three parts: The Sociodemographic Questionnaire, The Intercultural Effectiveness Scale and The Music preferences (...) Questionnaire. The results do not confirm the influence of the type of high school education or age/year of study on the level of the students’ intercultural effectiveness, nor on their world music preferences. The existence of a relationship between the level of students’ intercultural effectiveness, world music preferences and between familiarity of music and music preferences has been confirmed. The obtained results have significant implications for music pedagogy, especially in the context of higher education. (shrink)

L’étude traite de différentes catégories de signatures (et/ou de noms d’auteurs) et de leur fonctionnement dans l’écriture de l’histoire. L’histoire est une écriture dialogique au sens où elle s’appuie sur les écrits d’autres spécialistes, mais aussi sur une matérialité documentaire signée par des acteurs de l’histoire. En se référant à la parole d’autrui, l’historien valide son propre travail. Le principal indice de ce dialogue est le nom propre d’auteur associé à un propos qui représente pour l’historien une référence. L’étude met (...) en évidence l’aptitude des noms d’auteur à recevoir une corporalité et/ou une voix. La thèse est la suivante: dès que le lecteur peut attribuer un corps et un certain renom à une signature, celle-ci peut être utilisée comme instrument de la preuve. Une attention particulière est portée aux signataires inconnus, aux noms des rédacteurs de «témoignages». Au centre de notre intérêt se trouvent les «ajouts» des historiens (titres, annotations, notes en bas de page, etc.) qui introduisent sur la scène académique les propos des «auteurs inconnus». Des ajouts accompagnant une carte postale, représentée dans l’ouvrage Lettres de Drancy, sont analysés de près. (shrink)

We prove consistent, assuming there is a supercompact cardinal, that there is a singular strong limit cardinalμ, of cofinalityω, such that everyμ+-chromatic graphXonμ+has an edge colouringcofXintoμcolours for which every vertex colouringgofXinto at mostμmany colours has ag-colour class on whichctakes every value.The paper also contains some generalisations of the above statement in whichμ+is replaced by other cardinals >μ.

_Feminismo para el 99% Un Manifiesto_, __publicado mundialmente el 8 de marzo de 2019, pretende configurarse como una apuesta político-discursiva capaz de trascender, tanto en su aspecto literario como en su contenido político, fronteras y territorios. Nuestra versión en castellano, traducida del inglés original por Renata Prati, convive con cerca de veinte ediciones, localizadas en distintos países, distribuidas en distintas lenguas, y que reúnen a tres mujeres con trayectorias signadas tanto por la producción académica como por el activismo político. Entre (...) la multiplicidad de preguntas que aparecen a lo largo de las páginas, una parece destacarse: cuál es el sentido o, incluso, cuál es el _deber ser_ de un feminismo cuyo horizonte coincide con la emancipación. (shrink)

This paper arose out of the 2017 international conference on AI and law doctoral consortium. There were five students who presented their Ph.D. work, and each of them has contributed a section to this paper. The paper offers a view of what topics are currently engaging students, and shows the diversity of their interests and influences.

El uso prolongado de la voz es un factor de riesgo para el desarrollo de patologías vocales en docentes. Actualmente, estos profesionales se ven obligados a usar mascarilla para dictar sus clases, lo que puede resultar en alteraciones vocales. Durante la virtualización de las clases los docentes debieron adaptar algún espacio doméstico para desempeñar sus funciones frente a un computador, disminuyendo la actividad física y fomentando un estilo de vida sedentario, lo que pudo ocasionar algún trastorno músculo-esquelético. Con este panorama, (...) el propósito del estudio es identificar efectos en la voz por la mascarilla y lesiones músculo-esqueléticas en docentes. (shrink)

Easy and cheap access to the Internet and a wide array of new technologies, such as smartphones, have multiplied opportunities for online informal learning of English. Yet, despite sizeable research, few studies have examined the issue of OILE in the context of university students of different disciplines. The aim of this research study was to examine the role of online language use through smartphones among students of various disciplines and its possible effects on enhancement of their foreign language skills. The (...) study assumed both qualitative and quantitative methodology encompassing three research instruments: an online survey, the self-assessment language competence grid of the Common European Framework of Reference for Languages and a semi-structured interview. Data were collected with 377 students from two universities: University of Białystok, Poland and University of Osijek, Croatia. The research outcomes indicate that both Croatian and Polish students of different disciplines use their smartphones chiefly for receptive activities with infrequent use for language learning purposes and the predominant use of the mother tongue or English for the listed online activities through smartphones do not significantly affect the self-assessed level of their communicative competence in English. However, it can be stated that the choice of the preponderant language for online use through smartphones, especially for study-related issues, is conditioned by the students’ discipline of study. (shrink)

The recent discovery of microRNAs (miRNAs) in unicellular eukaryotes, including miRNAs known previously only from animals or plants, implies that miRNAs have a deep evolutionary history among eukaryotes. This contrasts with the prevailing view that miRNAs evolved convergently in animals and plants. We re‐evaluate the evidence and find that none of the 73 plant and animal miRNAs described from protists meet the required criteria for miRNA annotation and, by implication, animals and plants did not acquire any of their respective (...) miRNA genes from the crown ancestor of eukaryotes. Furthermore, of the 159 novel miRNAs previously identified among the seven species of unicellular protists examined, only 28 from the algae Ectocarpus and Chlamydomonas, meet the criteria for miRNA annotation. Therefore, at present only five groups of eukaryotes are known to possess miRNAs, indicating that miRNAs have evolved independently within eukaryotes through exaptation of their shared inherited RNAi machinery. (shrink)

The size and organization of the brain are determined by the activity of progenitor cells early in development. Key mechanisms regulating progenitor cell biology involve miRNAs. These small noncoding RNA molecules bind mRNAs with high specificity, controlling their abundance and expression. The role of miRNAs in brain development has been studied extensively, but their involvement at early stages remained unknown until recently. Here, recent findings showing the important role of miRNAs in the earliest phases of brain development are reviewed, and (...) it is discussed how loss of specific miRNAs leads to pathological conditions, particularly adult and pediatric brain tumors. Let‐7 miRNA downregulation and the initiation of embryonal tumors with multilayered rosettes (ETMR), a novel link recently discovered by the laboratory, are focused upon. Finally, it is discussed how miRNAs may be used for the diagnosis and therapeutic treatment of pediatric brain tumors, with the hope of improving the prognosis of these devastating diseases. (shrink)