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.

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)

This paper presents a method for investigating counterfactual histories of science. A central notion to our theory of science are “advances”, 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)

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)

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)

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)

Let us begin by proposing a sort of common denominator of the various conceptions of rationality, some feature that underlies practically all its definitions.

This is the story of the clattering of elevated subways and the cacophony of crowded neighborhoods, the heady optimism of industrial progress and the despair of economic recession, and the vibrancy of ethnic cultures and the resilience of ...

We continue with the study of the Katětov order on MAD families. We prove that Katětov maximal MAD families exist under $\mathfrak {b=c}$ and that there are no Katětov-top MAD families assuming $\mathfrak {s\leq b}.$ This improves previously known results from the literature. We also answer a problem form Arciga, Hrušák, and Martínez regarding Katětov maximal MAD families.

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)

In Science of the Soul in Ibn Sina's Pointers and Reminders, Michael A. Rapoport provides a philological and interpretive guide for critically reading and interpreting Ibn Sina's (Avicenna, d. 1037) most challenging and influential text. Rapoport argues that chapters VII-X of the Pointers present scientific explanations for phenomena related to the human soul - from intellection to divination, magic, and marvels - within the framework of Ibn Sina's Metaphysics of the Rational Soul. This book dispels widespread notions that (...) the Pointers represents Ibn Sina's mystical or Sufi philosophy and therefore stands apart from the rest of his corpus. (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)

We study the performance of heuristics relative to the performance of optimal solutions in the rich domain of sequential search, where the decision to stop the search depends only on the applicant’s relative rank. Considering multiple variants of the secretary problem, that vary from one another in their formulation and method of solution, we find that descriptive heuristics perform well only when the optimal solution prescribes a single threshold value. We show that a computational heuristic originally proposed as an approximate (...) solution to a single variant of the secretary problem performs equally well in many other variants where the optimal solution prescribes multiple threshold values that gradually relax the criterion for stopping the search. Finally, we propose a new heuristic with near optimal performance in a competitive or strategic variant of the secretary problem with multiple employers competing with one another to hire job applicants. Both heuristics share a simple computational component: the ratio of the number of interviewed applicants to the number of those remaining to be searched. We present the subgame-perfect Nash equilibrium for this competitive variant and an algorithm for its computation. (shrink)

Nazariyat, Journal for the History of Islamic Philosophy and Sciences, issued twice a year in English and Turkish (Nazariyat İslam Felsefe ve Bilim Tarihi Araştırmaları Dergisi), is a refereed international journal. It publishes original studies, critical editions of classical texts and book reviews on Islamic philosophy, kalām, theoretical aspects of Sufism and the history of sciences. The goal of Nazariyat is to contribute to the discovery, examination and reinterpretation of the theoretical traditions in the history of Islamic thought, by giving (...) special attention to the post-classical period of it. **ISSN: 2148-8088 E-ISBN: 2547-9415**. (shrink)

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)

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..