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)

Comúnmente percibido como un elemento neutral e inocente, incluso un componente aliado e indispensable en las aspiraciones de proyectos sociales alternativos, la primera parte de este artículo se dedica a problematizar el valor de uso, subrayando el particular fetichismo que le es inherente. Su tratamiento crítico se complementa con un detenido estudio de la forma natural, dimensión imprescindible sin la que la crítica de la economía política quedaría inconclusa. El artículo pretende, entonces, en primer lugar, poner al descubierto la problemática (...) del valor de uso a lo interno de la obra de Karl Marx. Seguidamente, se observará su particular fetichismo rescatando argumentos feministas, antropológicos y filosóficos que ayuden a apreciar su dimensión y carácter históricamente específico. A continuación, se profundizará la forma natural y sus principales características, registro sin el cual la dimensión problemática del valor de uso no se comprendería. Acudiendo a los planteamientos de Bolívar Echeverría, se revisitará la forma natural puntualizando la dimensión semiótica como un componente central suyo. Finalmente, el texto cierra poniendo al descubierto las facetas, trampas y problemáticas inherentes a estas dos nociones, reivindicando la importancia de distinguirlas en un momento de desafíos ecológicos donde repensar el intercambio metabólico con el medio ambiente se torna crucial para la humanidad. (shrink)

This chapter discusses the analogy between bare possibles and imaginary numbers, developed by Leibniz during his Paris years. In this period, he came to realize that imaginary quantities are not impossible in themselves, but they cannot be geometrically represented, for they cannot be ordered within the number line. Similarly, he regarded actual things as belonging to a single ‘series of things’, where each member is connected to every other by relations of position and succession. Bare possibles, on the contrary, can (...) be placed nowhere in the series and, therefore, must be regarded as fictions (though reference to them is in a sense unavoidable, like the use of imaginary quantities in algebra). The young Leibniz does not extend the model of a ‘series of things’ to possibles, thus in this period he seems to reject the very idea of a plurality of possible worlds. (shrink)

v. 1. Parte histórica.--v. 2. Doutrina e crítica.

Reseña del libro Filosofía de la inmunología de Thomas Pradeu.

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)

The subject of this paper is to deep in the way that Guzmán planned to make effective social participation in an authoritarian context like Pinochet's Chile (1973-1990). We will see how Guzmán considered civil participation as an essential requirement in order to get a modern democracy which would be opened in Chile after the military dictatorship. He supported this idea through the concepts of subsidiarity State and liberal economy policy.

El artículo pretende mostrar que son cuatro los momentos esenciales que constituyen el Timeo de Platón y que sólo la consideración conjunta de ellos nos da una combinación adecuada para abrir el enigma del diálogo. Estos cuatro momentos son: l. El problema de lo divino y su relación con el mundo; 2. La relación entre Eikos- Logos, Cosmos y Filosofía; 3. La teoría de los elementos y su relación con el espacio; 4. El problema del Tiempo y la necesidad.

En nuestros días es un hecho que las especializaciones han ocasionado la disgregación del conocimiento humano. La universidad actual es la representación más concreta de esta disgregación, y el carácter de su quehacer se ha convertido en una inquietud relevante en todas las culturas por la multiplic..

Social-emotional learning is a tendency in education and must be accounted for in all areas of study. Heritage education cannot ignore this reality and must include and its planning and delivery effective strategies to implement and promote social-emotional competencies. The following work, proves patrimonial visits are an innovative approach towards coping with emotions in society. The activity proposed and studied in this investigation demonstrated the opportunities for integer learning during these experiences are real and cause a significant impact in students (...) and society. This study demonstrated the most relevant aspects to consider in patrimonial visits. (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)

This work examines whether the environmentally-induced decoherence approach in quantum mechanics brings us any closer to solving the measurement problem, and whether it contributes to the elimination of subjectivism in quantum theory. A distinction is made between ,collapse, and ,decoherence,, so that an explanation for decoherence does not imply an explanation for collapse. After an overview of the measurement problem and of the open-systems paradigm, we argue that taking a partial trace is equivalent to applying the projection postulate. A criticism (...) of Zurek's decoherence approach to measurements is also made, based on the restriction that he must impose on the interaction between apparatus and environment. We then analyze the element of subjectivity involved in establishing the boundary between system and environment, and criticize the incorporation of Everett's branching of memory records into the decoherence research program. Sticking to this program, we end by sketching a proposal for ‘environmentally-induced collapse’. (shrink)

Leibniz considered the Cartesian version of the ontological argument not as an inconsistent proof but only as an incomplete one: it requires a preliminary proof of possibility to show that the concept of ‘the most perfect being’ involves no contradiction. Leibniz raised this objection to Descartes’s proof already in 1676, then repeated it throughout his entire life. Before 1676, however, he suggested a more substantial objection to the Cartesian argument. I take into account a text written around 1671-72, in which (...) Leibniz considers the Cartesian proof as a paralogism and a petition of principle. I argue that this criticism is modelled on Gassendi’s objections to the Cartesian proof, and that Leibniz’s early rejection of the ontological argument has to be understood in the general context of his early philosophy, which was inspired by nominalist authors, such as Hobbes and Gassendi. Then, I take into account the reconsideration of the ontological argument in a series of texts of 1678, showing how Leibniz implicitly replies to the kind of criticism to the argument he himself shared in his earlier works. (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.

RESUMEN El diálogo propuesto entre Heidegger y Adorno, especificamente en lo que concierne a las ideas de crítica y de resistencia, no desconoce la importancia que adquiere para el último la crítica extensa que él mismo dirige a la ontología de Heidegger, ni para este su cuestionamiento de la filosofia dialéctica. El artículo busca mostrar que, en ambos autores, la idea de crítica y de resistencia se resuelve como indagación del sentido negativo de la experiencia. Se concluye que, destacando semejanzas (...) y diferencias en sus planteamientos, la reivindicación del carácter negativo de la experiencia equivale reivindicar el poder crítico de la filosofia y del arte. ABSTRACT The dialogue between these two authors, concerning specifically the ideas of critique and resistance, does not ignore the importance attributed by Adorno to the extensive critique that himself addresses to Heidegger's ontology, nor the one attributed by the latter to his questioning of the dialectical philosophy. The paper shows that in both authors the ideas of critique and resistance can be settled as an inquiry into the negative sense of experience. It is concluded that, highlighting similarities and differences in their approaches, the recognition of the negative trait of experience equals to claiming the critical power of philosophy and art. (shrink)

Vigencia y actualidad del Tomismo -- Carácter analógico del conocer -- Splendor formae -- Experiencia poética y experiencia mística -- La lírica religiosa de Lope de Vega -- El catolicismo en la pintura de Velázquez.

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 ensayo logos y oúcría en el Sofista de Platón se discute la relación entre lenguaje y ser, y el modo como Platón concibe dicha relación. Primero se reconstituye las críticas que platón le hace a las teorías ontológicas anteriores así como la famosa gigantomaquia alrededor del ser. Todas tienen algo en común: desconocen el papel esencial del Lógos en el conocimiento del ser. Luego se discute la función de la imagen en el conocimiento, y qué relación hay entre (...) lenguaje e imagen. Por último se busca dar una interpretación del término lógos, utilizado al final del diálogo, y que se traduce normalmente como frase u oración. (shrink)

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)