The relationship between “marginal” and “mainstream” science has, in recent decades, become a matter of discussion. Traditional perspectives must be reexamined in the wake of transformations in the international circulation of knowledge and the subsequent diversification of scientific “peripherality”. Argentina represents an interesting case with which to explore the structure of “peripheral centres” and new forms of scientific development. While it has recently experienced an expansion in terms of institutionalization, professionalization, and internationalization, that process has been coupled with entrenchment of (...) existing institutional asymmetries and persistent intra-national inequalities; academic prestige is distributed according to opposite principles of legitimation. Our main task is to explore the current state of research capacities pursuant to that expansion in order to analyze the diverse styles in which knowledge is produced. In our analysis, we make critical use of Bourdieu’s concept of field and the Latin American category of “structural heterogeneity,” while also focusing on the question of circulation. The paper outlines how professionalization has developed locally over time, and the historical tension between the National Council for Scientific and Technical Research and the public universities. It describes the current structure of the scientific field in terms of researchers, institutes, publishing circuits, and institutional evaluative cultures. It focuses on geographical asymmetries in order to assess the distribution of new human and material resources throughout the country. Finally, it addresses the current situation under the new government, and raises concern over recent regressive actions. (shrink)

Let ${\cal I}$ be an ideal on ω. By cov${}_{}^{\rm{*}}$ we denote the least size of a family ${\cal B} \subseteq {\cal I}$ such that for every infinite $X \in {\cal I}$ there is $B \in {\cal B}$ for which $B\mathop \cap \nolimits X$ is infinite. We say that an AD family ${\cal A} \subseteq {\cal I}$ is a MAD family restricted to${\cal I}$ if for every infinite $X \in {\cal I}$ there is $A \in {\cal A}$ such that $|X\mathop (...) \cap \nolimits A| = \omega$. Let a$\left$ be the least size of an infinite MAD family restricted to ${\cal I}$. We prove that If $max${a,cov${}_{}^{\rm{*}}\}$ then a$\left = {\omega _1}$, and consequently, if ${\cal I}$ is tall and $\le {\omega _2}$ then a$\left = max$ {a,cov${}_{}^{\rm{*}}\}$. We use these results to prove that if c$\le {\omega _2}$ then o$= \overline o$ and that as$= max${a,non$\}$. We also analyze the problem whether it is consistent with the negation of CH that every AD family of size ω1 can be extended to a MAD family of size ω1. (shrink)

en el articulo “Crisis de la razón: crisis de la persona” se presenta la importancia de la trascendentalidad en el ser humano. El hombre ha perdido el sentido trascendental de su vida y esto ha ocurrido a causa, principalmente, de la errónea utilización de la razón y el progreso. Entender el progreso como facultad de perfeccionamiento y poder ilimitado implica graves consecuencias, entre las cuales se encuentra la pérdida de la trascendentalidad.

El presente artículo busca presentar los resultados de un estudio desarrollado entre los años 2011 y 2012 sobre las representaciones sociales y percepciones de los migrantes peruanos acerca de su proceso de integración en Santiago de Chile, particularmente respecto del acceso a los servicios públicos de educación, salud y vivienda. A partir de una metodología cualitativa, estos servicios son puestos bajo la mirada de los discursos de los migrantes peruanos, develando la discriminación de la que son objeto debido a su (...) procedencia nacional, así como otras formas de exclusión derivadas de su origen popular, y retratando a la ciudad de Santiago como un escenario receptor de flujos migratorios internacionales. (shrink)

In quest’articolo, articolo prenderò in esame i passi in cui Kant descrive la monadologia leibniziana come un “concetto platonico” del mondo, ossia come una descrizione del mondo intelligibile che non ha nulla a che vedere con la spiegazione del mondo fenomenico. In generale, vorrei mostrare che quest’interpretazione non va contrapposta a quella che lo stesso Kant aveva dato nella prima Critica, dove la monadologia era caratterizzata come un “sistema intellettuale del mondo”. Per fare ciò, risponderò a due domande. La prima (...) riguarda le ragioni che possono aver indotto Kant, in diverse occasioni, a presentare Leibniz come un precursore della teoria della soggettività dello spazio. La seconda riguarda il motivo per cui Kant associa costantemente la monadologia alla teoria platonica delle idee, mostrando come, in entrambi i casi, Kant intenda criticare qualsiasi possibilità di un transito dal mondo sensibile a quello intelligibile. Infine, cercherò di mostrare che, dietro questa lettura deflazionista della monadologia, c’è anche un’implicita autocritica alle tesi che Kant stesso ha sostenuto nella Dissertatio del 1770. (shrink)

La pretensión de este artículo, presentado en un simposio sobre Teoríasde la verdad, es la de acercar unas breves pinceladas sobre lo que laantropología hace y puede decir, a otras disciplinas, en este casoconcreto, a la esfera del saber filosófico. El centro de todo el discurso que en adelante voy a realizar será un esfuerzo por dejar claro que elconocimiento no está fuera de la contextualización de un grupo socialdeterminado, y que por tanto, los universales que tantas teoríasepistemológicas nos han (...) mostrado a lo largo de la historia de la filosofíano son más que aplicables dentro de un esquema determinado cultural,pero no siempre y en todo lugar exportables o de aplicabilidad universal.Este es el motor interno que pretendo conseguir que se plasme en elinterior de la argumentación posterior. (shrink)

Opdagelsen af det ubevidste skete som bekendt inden for rammerne af Freuds tera­peutiske erfaring. Dets udforskning viste imidlertid, at følgerne af denne opdagelse var betydeligt mere omfattende end han først antog.

Este estudo sintetiza as leituras de Merleu-Ponty sobre a ciência moderna, e procura esclarecer como elas desautorizam uma concepção determinista da Natureza. Ao contrário da física newtoniana e de outras ontologias substancialistas, que submetem a contingência ao entendimento, Merleau-Ponty desvela um registro do descontínuo, onde os seres reduzem-se a “feixe de probabilidades”. Assim, ao fornecer sentido ontológico ao polimorfismo do tempo e do espaço percebidos, Merleau-Ponty intercepta em teóricos pós-newtonianos renovada concepção da matéria: “éter dos acontecimentos”, ela se esclarece menos (...) pelas longas cadeias causais que pela “pululação ilimitada das categorias”. A conseqüente refutação dos princípios de identidade é oportunidade para investir individualidades em devir e modos de existência ubiqüitários, atestados pelas modernas embriologias, elementos que ajudam a reformular o cenário ontológico. PALAVRAS-CHAVE – Natureza. Ciência. Acontecimento. Individualidade. Ontologia. ABSTRACT This paper summarizes Merleau- Ponty lectures about modern sciences and tries to enlighten how he disavows a determinist conception of Nature. Adversely to Newtonian physics and others substantialistic ontologies that translate contingency into understanding, Merleau- Ponty reveals a register of discontinuity in Nature where beings amount to be a “bundle.of probabilities”. Therefore, in getting ontological sense to the polymorphism of perceived time and space, Merleau-Ponty identifies in post- Newtonian theorists a renewed conception of matter as “ether of events”. Matter do not have to be shaped by long causal chains but by “unlimited profusion of categories”. A consequent refusal of identity principles is an opportunity to a close examination of individualities in progress and ubiquitous ways of existence, both attested by moderns embryologies. In doing so, Merleau-Ponty aims to reformulate ontological scene. KEY WORDS – Nature, science, event, individuality, ontology. (shrink)

Resumen: El trabajo se centrará en dar cuenta sobre la existencia de un territorio otro, invisibilizado por el logocentrismo y la historiografía tradicional del occidente moderno. Este territorio otro que denominamos territorios discursivos es una realidad que situamos en los discursos territoriales y que, dada su dimensión discursiva, puede ser develada mediante el análisis hermenéutico. Uno de los supuestos en que se basa esta investigación, es que los territorios discursivos actúan como el lugar desde el cual el discurso territorial llega (...) a ser el que es, a indicar una dirección y explicitar un sentido específico, en cualquiera de las formas institucionalizadas por una colectividad pero sin que se tenga plena conciencia o evidencia de éste. Por lo anterior, planteamos que los territorios discursivos se encuentran ligados a la imagen hologramática, condición que proponemos develar desde un trasfondo sociocultural y por medio de la interpretación hermenéutica de los discursos territoriales. (shrink)

This paper presents a method for investigating counterfactual histories of science. A central notion to our theory of science are "advances" (ideas, data, etc.), which are units passed among scientists and which would be conserved in passing from one possible history to another. Advances are connected to each other by nets of causal influence, and we distinguish strong and weak influences. Around sixty types of advances are grouped into ten classes. As our case study, we examine the beginning of the (...) Old Quantum Theory, using a computer to store and process historical information. We describe four plausible possible histories, along with six other implausible ones. (shrink)

Osvaldo Guariglia presenta tres modelos paradigm ticos: la propuesta kantiana de una fundamentaci n absoluta basada en la estructura prescriptiva de la raz n pr ctica; la propuesta hegeliana, que intenta superar cr ticamente la de Kant y, por ltimo, la propuesta weberiana, punto de partida de la moderna sociolog a pol tica.

In this paper we deal with the problem of stating what an analogy relation is, according it is usually used on teaching natural sciences. According our proposal, two situations are said to be analogous if their representations includes isomorphical subsets. We analyze the elements that can be inv..

El estudio de la onomástica femenina de los Banū Marīn de Fez ha adolecido, por lo general, de un análisis profundo y monográfico, a pesar de la gran utilidad de dichos nombres para definir mejor distintos rasgos de la idiosincrasia de esta estirpe. El objetivo principal del presente trabajo es cubrir precisamente dicha laguna científica, ofreciendo un análisis tanto filológico como socio-cultural del amplio catálogo de nombres femeninos presentes en el árbol genealógico meriní, desde el rigor científico. Como se intentará (...) demostrar, tales denominaciones constituyen valiosos recursos para reconstruir la diversidad identitaria (étnica, geográfica, prosopográfica, cultural, etc.) no solo de este conjunto de mujeres, sino también de los soberanos con los que se relacionaron en distintas calidades familiares. Igualmente, tales nomenclaturas permiten identificar con una mayor precisión las estrategias de legitimación político-religiosa que esta estirpe diseñó tanto en el plano socio-cultural árabe como en el religioso islámico. (shrink)

\ of monadic m-generalized Łukasiewicz algebras of order n -algebras), namely a generalization of monadic n-valued Łukasiewicz algebras. In this article, we determine the congruences and we characterized the subdirectly irreducible \-algebras. From this last result we proved that \ is a discriminator variety and as a consequence we characterized the principal congruences. In the last part of this paper we find an immersion of these algebras in a functional algebra and we proved that in the finite case they are (...) isomorphic. This last result allows to show a new functional representation for monadic n-valued Łukasiewicz algebras. Finally, we define the notions of \-algebra of fractions and maximal algebra of fractions and we prove the existence of a maximal \-algebra of fractions for an \-algebra. (shrink)

In 2004, C. Sanza, with the purpose of legitimizing the study of \-valued Łukasiewicz algebras with negation -algebras) introduced \-valued Łukasiewicz algebras with negation. Despite the various results obtained about \-algebras, the structure of the free algebras for this variety has not been determined yet. She only obtained a bound for their cardinal number with a finite number of free generators. In this note we describe the structure of the free finitely generated \-algebras and we determine a formula to calculate (...) its cardinal number in terms of the number of free generators. Moreover, we obtain the lattice \\) of all subvarieties of \ and we show that the varieties of Boolean algebras, three-valued Łukasiewicz algebras and four-valued Łukasiewicz algebras are proper subvarieties of \. (shrink)

A lo largo del último siglo se incorporaron a las condiciones naturales algunas otras de carácter social y político que influyeron de modo decisivo en la formación de al menos tres grupos de países distintos: los países desarrollados, los países en desarrollo y los menos desarrollados. Ya el Acuerdo de 1947 del GATT admitió la existencia de una amplia brecha entre los tres grupos de países y propuso unas medidas adicionales que permitieran tender un puente sobre esa brecha. [Fragmento].

The situation of childhood and the adolescence in the Republic of Argentina as object of social politics is discussed from a clinical point of view. This matter seems to be connected to the problems of (personal) security, sometimes mingling the barrier that separates this from the way Justice fu..

En el presente artículo se problematiza un aspecto de la crónica modernista: su compilación y publicación en ediciones críticas. Se revisa el caso de tres libros de autores centroamericanos que aparecieron, originalmente, en publicaciones periódicas: La vida de Rubén Darío Escrita por él mismo (1915), de Rubén Darío; Sensaciones de París y de Madrid (1900), de Enrique Gómez Carrillo; y El libro del trópico (1907), de Arturo Ambrogi. Las tres obras ofrecen particularidades que las convierten en modelos diferentes de un (...) mismo problema filológico, por lo que evidencian lo provechoso que sería para el proceso de lectura de un receptor de hoy, acceder a un texto anotado y editado críticamente. (shrink)

Resumen: El presente trabajo tiene por objetivo describir las estrategias semánticas o representaciones cognitivas que construyen los diarios chilenos El Mercurio y La Cuarta, acerca de la cultura mapuche, a propósito de la cobertura periodística otorgada a la huelga de hambre protagonizada por prisioneros de esta etnia. Para ello, estudiaremos las estrategias discursivas usadas por los diarios mencionados y su correlación con las macroestructuras periodísticas que las reflejan, para finalmente analizar la lexicalización en la configuración de la alteridad mapuche. Se (...) utiliza como metodología el Análisis Crítico del Discurso (ACD) -en relación con el cuadrado ideológico (Van Dijk, 1999) y la lexicalización- y el modelo de Velázquez (2011) para el estudio del discurso periodístico en cuanto a la superestructura y la macroestructura de la noticia. Se concluye que los diarios analizados utilizan estrategias semántico-cognitivas etnocéntricas y discriminadoras al dar forma al cuadrado ideológico y su polarización entre los Otros /Nosotros. Abstract: The objective of this paper is to describe the semantic strategies, or cognitive representations, that El Mercurio and La Cuarta, Chilean newspapers, create about mapuche culture, in relation to the press coverage given to the hunger strike organised by prisoners of this ethnic group. For this, the discursive strategies used by the newspapers mentioned before, and the representation of their interrelationship with the macrostructures in journalism, which finally aim to analyze the lexicalization in the configuration of the mapuche otherness, were studied. The methodology consists of Critical Discourse Analysis (CDA) -in relation to the ideological square (Van Dijk, 1999) and lexicalization- and the Velazquez’ model (2011) for the study of the journalist discourse related to the superstructure and macrostructure of news. As a conclusion, the newspapers analysed use semantic and cognitive strategies to discriminate based on ethnocentrism, giving it a specific ideological square and polarisation between Others and Us. (shrink)

En Política VI 2, 1317b 1-17, Aristóteles define así la democracia: «el rasgo esencial de la democracia es el vivir como se quiere sin ninguna interferencia y de aquí vino el de no ser gobernado, si es posible por nadie, y si no, por turnos. Esta característica contribuye a un sistema general de la libertad fundada en la igualdad». Este modelo normativo dio lugar, históricamente, a dos posibles regímenes políticos, la democracia popular o extrema, basada en la participación directa de (...) todos los ciudadanos, como en Atenas, y una «constitución mixta» que tenía rasgos tanto democráticos como oligárquicos, llamada república en la tradición romana desde Cicerón. La democracia moderna es la heredera de ambos regímenes, moderada por la nueva concepción de los derechos individuales que son propios del pensamiento moderno desde Hugo Grotius hasta la Declaración Universal de los Derechos Humanos. La constitución representativa fue, así, la solución moderna al conflicto entre gobierno de la mayoría y gobierno de las leyes. Desde su Independencia en el siglo XIX, las democracias de América Latina sufren por la tensión no resuelta entre populismo y constitución liberal democrática. El neo-populismo que surgió en los últimos años del siglo XX se presentó como un desafío y una respuesta a las promesas incumplidas de la democracia. Contra los defensores del populismo autoritario, como por ejemplo Ch. Mouffe y E. Laclau, yo sostengo que la democracia deliberativa es una respuesta superior a esas promesas. (shrink)

If $\mathcal{F}$ is a filter on $\omega$, we say that $\mathcal{F}$ is Canjar if the corresponding Mathias forcing does not add a dominating real. We prove that any Borel Canjar filter is $F_{\sigma}$, solving a problem of Hrušák and Minami. We give several examples of Canjar and non-Canjar filters; in particular, we construct a $\mathsf{MAD}$ family such that the corresponding Mathias forcing adds a dominating real. This answers a question of Brendle. Then we prove that in all the “classical” models (...) of $\mathsf{ZFC}$ there are $\mathsf{MAD}$ families whose Mathias forcing does not add a dominating real. We also study ideals generated by branches, and we uncover a close relation between Canjar ideals and the selection principle $S_{\mathrm{fin}}$ on subsets of the Cantor space. (shrink)

Esta proposta de discussão aborda o ensino da filosofia. Os objetivos da pesquisa: identificar aspectos teóricos e práticos no trabalho dos professores na disciplina de filosofia na educação básica; descrever e avaliar os temas filosóficos que são trabalhados na disciplina filosofia na educação básica; comparar a formação daqueles que têm formação em filosofia e daqueles que não a tem. Com esses objetivos pudemos verificar quais universidades brasileiras oferecem curso de filosofia. Obtivemos os dados: no Brasil temos 188 escolas públicas, 329 (...) escolas particulares perfazendo um total de 517 escolas superiores e, nessas, há um total de 83 cursos de filosofia. Faremos busca de informações sobre os professores que lecionam a disciplina de filosofia na cidade de Uberaba, MG e região circunvizinha. Queremos saber quais são e onde estão os professores de filosofia tanto nas escolas públicas quanto particulares na Educação Básica. O problema de pesquisa é “até que ponto os professores de filosofia, na Educação Básica, estão preparados teoricamente para trabalhar conteúdos e reflexões de cunho filosófico proporcionando pensamentos isentos de superficialidade própria do senso comum?”. (shrink)

En los pueblos indígenas de México existen mecanismos de toma de decisión y participación que contribuyen al logro del bienestar común. Estos procesos constituyen parte del espacio público para resolver sus problemas y a través de ellos se reafirman la pertenencia e identidad que fortalecen las relaciones sociales, políticas, económicas y culturales de los miembros de la comunidad. La forma en que se manifiesta esta reafirmación es por medio de la participación en el trabajo comunitario, el sistema de cargos y (...) las asambleas comunitarias. Sin embargo, en los últimos años, con la intervención de las políticas públicas de los distintos órdenes de gobierno y la inclusión de estos pueblos en los procesos políticos, en la búsqueda de una mayor participación ciudadana y el ejercicio de sus derechos civiles en un contexto democrático, han modificado las reglas de convivencia afectando estos mecanismos que son la base de la estructura comunitaria. (shrink)

A partir de um recorte metodológico descritivo e de levantamento bibliográfico, na extensão que o presente instrumento de comunicação permite, o artigo apresenta um conjunto de treze teorias ou discursos sobre a religião. Mesmo quando o procedimento se revela passível de incongruência, procurou-se classificar as teorias e quase teorias em dois grupos: teorias ou quase teorias reducionistas e teorias e quase teorias não reducionistas. Foram tratadas como não reducionistas aquelas que se atêm ao conteúdo positivo da religião, sendo, por isso, (...) classificadas como substantivas. Foram tratadas como reducionistas teorias que consideram a religião a partir de e em relação a sua expressão na sociedade, sendo também classificadas de funcionalistas. Conclui-se que, em grande medida, as teorias se sobrepõem, algumas delas constituindo desdobramentos necessários ou aprofundamentos críticos de teorias anteriores, de sorte que, em rotinas de pesquisas em Ciências das Religiões se poderiam conjugar diferentes teorias e quase teorias como quadro referencial teórico-metodológico. (shrink)

Resumen: El trabajo se centrará en dar cuenta sobre la existencia de un territorio otro, invisibilizado por el logocentrismo y la historiografía tradicional del occidente moderno. Este territorio otro que denominamos territorios discursivos es una realidad que situamos en los discursos territoriales y que, dada su dimensión discursiva, puede ser develada mediante el análisis hermenéutico. Uno de los supuestos en que se basa esta investigación, es que los territorios discursivos actúan como el lugar desde el cual el discurso territorial llega (...) a ser el que es, a indicar una dirección y explicitar un sentido específico, en cualquiera de las formas institucionalizadas por una colectividad pero sin que se tenga plena conciencia o evidencia de éste. Por lo anterior, planteamos que los territorios discursivos se encuentran ligados a la imagen hologramática, condición que proponemos develar desde un trasfondo sociocultural y por medio de la interpretación hermenéutica de los discursos territoriales.: This work focusses on giving an account of the existence of a territory other, made invisible by the logocentrism and the traditional historiography of the modern west. This territory other that we call discursive territories is a reality that we situate in territorial discourses and that, given its discursive dimension, can be revealed through hermeneutical analysis. One of the assumptions on which this research is based, is that the discursive territories act as the place from which the territorial discourse becomes what it is, to indicate a direction and to specify a specific meaning, in any of the forms institutionalized by a collectivity but without full awareness or evidence of it. Therefore, we propose that the discursive territories are linked to the hologram image, a condition that we suggest is revealed from a sociocultural background and through the hermeneutic interpretation of territorial discourses. (shrink)

The main topics of this thesis are cardinal invariants, P -points and MAD families. Cardinal invariants of the continuum are cardinal numbers that are bigger than $\aleph _{0}$ and smaller or equal than $\mathfrak {c}.$ Of course, they are only interesting when they have some combinatorial or topological definition. An almost disjoint family is a family of infinite subsets of $\omega $ such that the intersection of any two of its elements is finite. A MAD family is a maximal almost (...) disjoint family. An ultrafilter $\mathcal {U}$ on $\omega $ is called a P-point if every countable $\mathcal {B\subseteq U}$ there is $X\in $ $\mathcal {U}$ such that $X\setminus B$ is finite for every $B\in \mathcal {B}.$ This kind of ultrafilters has been extensively studied, however there is still a large number of open questions about them.In the preliminaries we recall the principal properties of filters, ultrafilters, ideals, MAD families and cardinal invariants of the continuum. We present the construction of Shelah, Mildenberger, Raghavan, and Steprāns of a completely separable MAD family under $\mathfrak {s\leq a}.$ None of the results in this chapter are due to the author.The second chapter is dedicated to a principle of Sierpiński. The principle $\left $ of Sierpiński is the following statement: There is a family of functions $\left \{ \varphi _{n}:\omega _{1}\longrightarrow \omega _{1}\mid n\in \omega \right \} $ such that for every $I\in \left [ \omega _{1}\right ] ^{\omega _{1}}$ there is $n\in \omega $ for which $\varphi _{n}\left [ I\right ] =\omega _{1}.$ This principle was recently studied by Arnie Miller. He showed that this principle is equivalent to the following statement: There is a set $X=\left \{ f_{\alpha }\mid \alpha \alpha $ then $f_{\beta }\cap g$ is infinite. Miller showed that the principle of Sierpiński implies that non $\left =\omega _{1}.$ He asked if the converse was true, i.e., does non $\left =\omega _{1}$ imply the principle $\left $ of Sierpiński? We answer his question affirmatively. In other words, we show that non $\left =\omega _{1}$ is enough to construct an $\mathcal {IE}$ -Luzin set. It is not hard to see that the $\mathcal {IE}$ -Luzin set we constructed is meager. This is no coincidence, because with the aid of an inaccessible cardinal, we construct a model where non $\left =\omega _{1}$ and every $\mathcal {IE}$ -Luzin set is meager.The third chapter is dedicated to a conjecture of Hrušák. Michael Hrušák conjectured the following: Every Borel cardinal invariant is either at most non $\left $ or at least cov $\left $. Although the veracity of this conjecture is still an open problem, we were able to obtain some partial results: The conjecture is false for “Borel invariants of $\omega _{1}^{\omega }$ ” nevertheless, it is true for a large class of definable invariants. This is part of a joint work with Michael Hrušák and Jindřich Zapletal.In the fourth chapter we present a survey on destructibility of ideals and MAD families. We prove several classic theorems, but we also prove some new results. For example, we show that every almost disjoint family of size less than $\mathfrak {c}$ can be extended to a Cohen indestructible MAD family is equivalent to $\mathfrak {b=c}$. A MAD family $\mathcal {A}$ is Shelah–Steprāns if for every $X\subseteq \left [ \omega \right ] ^{<\omega }\setminus \left \{ \emptyset \right \} $ either there is $A\in \mathcal {I}\left $ such that $s\cap A\neq \emptyset $ for every $s\in X$ or there is $B\in \mathcal {I}\left $ that contains infinitely many elements of X $ denotes the ideal generated by $\mathcal {A}$ ). This concept was introduced by Raghavan which is connected to the notion of “strongly separable” introduced by Shelah and Steprāns. We prove that Shelah–Steprāns MAD families have very strong indestructibility properties: Shelah–Steprāns MAD families are indestructible for “many” definable forcings that does not add dominating reals. According to the author’s best knowledge, this is the strongest notion that has been considered in the literature so far. In spite of their strong indestructibility, Shelah–Steprāns MAD families can be destroyed by a ccc forcing that does not add unsplit or dominating reals. We also consider some strong combinatorial properties of MAD families and show the relationships between them.The fifth chapter is one of the most important chapters in the thesis. A MAD family $\mathcal {A}$ is called $+$ -Ramsey if every tree that branches into $\mathcal {I}\left $ -positive sets has an $\mathcal {I}\left $ -positive branch. Michael Hrušák’s first published question is the following: Is there a $+$ -Ramsey MAD family? It was previously known that such families can consistently exist. However, there was no construction of such families using only the axioms of ZFC. We solve this problem by constructing such a family without any extra assumptions.In the fourth and fifth chapters, we introduce several notions of MAD families, in the sixth chapter we prove several implications and non implications between them. We construct several MAD families with different properties.In the seventh chapter we build models without P -points. We show that there are no P -points after adding Silver reals either iteratively or by the side by side product. These results have some important consequences: The first one is that is its possible to get rid of P -points using only definable forcings. This answers a question of Michael Hrušák. We can also use our results to build models with no P -points and with arbitrarily large continuum, which was also an open question. These results were obtained with David Chodounský.prepared by Osvaldo Guzmán GonzálezE-mail : [email protected] : https://arxiv.org/abs/1810.09680. (shrink)