A Latin-American/Spanish edition of the medieval classic. Boethius' treatises on meditation and beauty are still valid to this very day.

O presente artigo objetiva examinar o pensamento de Severino Boécio acerca da aporia dos termos universais e suas respectivas implicações nos séculos V e VI da era cristã. Tais pensamentos são postos por ele em seu Comentário à Isagoge de Porfírio, fazendo ligações com algumas das principais obras que contribuíram para com o assunto. Boécio acaba por aplicar os termos universais à pluralidade das coisas, demonstrando que podemos pensá-los num sentido singular, quando, por exemplo, os percebemos sensivelmente nas coisas (...) individuais do mundo. Destarte, buscaremos explicar brevemente, nas páginas subseqüentes, as premissas propostas por Severino Boécio àquele que foi um dos problemas mais marcantes da filosofia medieval: o problema dos universais. This article aims to examine the thought of Severinus Boethius about the standoff between the universal terms and their implications in the fifth and sixth centuries of the Cristian era. Such thoughts are put by him in his Commentary on Porphyry Isagoge, making connections with some of the major works that contributed towards it. Boethius eventually applies the universal terms to the plurality of things, demonstrating that we can think of them in a unique way, when, for example, we notice substantially the individual things of the world. Thus, we will try to explain briefly, in the subsequent pages, the assumptions proposed by Severinus Boethius to whom was one of the key problems of medieval philosophy: the problem of universals. (shrink)

Comentario a la Isagogé de Porfirio1 [Texto de Porfirio] [82a] "Ahora bien, respecto de los géneros y las especies si es que subsisten o si están colocados solo en pensamientos desnudos, o si, en tanto subsistentes, son corpóreos o incorpóreos, y si están separados de las cosas sensibles o colocados em las cosas sensibles, sobre [82b] estas posiciones, empero, rehusaré hablar. Pues una empresa de este tipo es profundísima y exige de un examen más amplio.".

En el presente trabajo proponemos mostrar la presencia de elementos estoicos en La Consolación de la Filosofía de Severino Boecio, en particular en los libros I, II, III y IV. Para ello realizaremos, en un primer momento, un análisis de la Consolatio como género filosófico en donde abordaremos la obra del autor romano y sus características peculiares. En un segundo término, centraremos nuestro análisis en mostrar los elementos terapéuticos que tienen presencia en dicha obra, centrándonos en aquellos de (...) origen estoico que pueden encontrarse cuando se analizan los bienes aparentes, las pasiones que ellos generan y su relación con la Fortuna. En un tercer momento, expondremos cómo aquellas observaciones de estilo estoico desembocan en un análisis sobre la voluntad y dignidad humana. En cuarto lugar, culminaremos el trabajo con unas breves palabras finales sobre lo antes expuesto. (shrink)

O problema da felicidade é recorrente nos tratados sobre Ética da Antiguidade. Os medievais defrontam-se com eles ao escreverem seus próprios textos. Neste trabalho procura-se analisar a forma como Tomás de Aquino e Boécio de Dácia, ao produzirem textos não teológicos, incorporam a seus tratados as obras antigas, principalmente de Aristóteles e Severino Boécio.

This thesis is devoted to the exploration of the complexity of some mathematical problems using the framework of computable analysis and descriptive set theory. We will especially focus on Weihrauch reducibility as a means to compare the uniform computational strength of problems. After a short introduction of the relevant background notions, we investigate the uniform computational content of problems arising from theorems that lie at the higher levels of the reverse mathematics hierarchy.We first analyze the strength of the open and (...) clopen Ramsey theorems. Since there is not a canonical way to phrase these theorems as multi-valued functions, we identify eight different multi-valued functions and study their degree from the point of view of Weihrauch, strong Weihrauch, and arithmetic Weihrauch reducibility.We then discuss some new operators on multi-valued functions and study their algebraic properties and the relations with other previously studied operators on problems. In particular, we study the first-order part and the deterministic part of a problem f, capturing the Weihrauch degree of the strongest multi-valued problem that is reducible to f and that, respectively, has codomain $\mathbb {N}$ or is single-valued.These notions proved to be extremely useful when exploring the Weihrauch degree of the problem $\mathsf {DS}$ of computing descending sequences in ill-founded linear orders. They allow us to show that $\mathsf {DS}$, and the Weihrauch equivalent problem $\mathsf {BS}$ of finding bad sequences through non-well quasi-orders, while being very “hard” to solve, are rather weak in terms of uniform computational strength. We then generalize $\mathsf {DS}$ and $\mathsf {BS}$ by considering $\boldsymbol {\Gamma }$ -presented orders, where $\boldsymbol {\Gamma }$ is a Borel pointclass or $\boldsymbol {\Delta }^1_1$, $\boldsymbol {\Sigma }^1_1$, $\boldsymbol {\Pi }^1_1$. We study the obtained $\mathsf {DS}$ -hierarchy and $\mathsf {BS}$ -hierarchy of problems in comparison with the Baire hierarchy and show that they do not collapse at any finite level.Finally, we work in the context of geometric measure theory and we focus on the characterization, from the point of view of descriptive set theory, of some conditions involving the notions of Hausdorff/Fourier dimension and Salem sets. We first work in the hyperspace $\mathbf {K}$ of compact subsets of $[0,1]$ and show that the closed Salem sets form a $\boldsymbol {\Pi }^0_3$ -complete family. This is done by characterizing the complexity of the family of sets having sufficiently large Hausdorff or Fourier dimension. We also show that the complexity does not change if we increase the dimension of the ambient space and work in $\mathbf {K}$. We also generalize the results by relaxing the compactness of the ambient space and show that the closed Salem sets are still $\boldsymbol {\Pi }^0_3$ -complete when we endow $\mathbf {F}$ with the Fell topology. A similar result holds also for the Vietoris topology.We conclude by analyzing the same notions from the point of view of effective descriptive set theory and Type-2 Theory of Effectivity, and show that the complexities remain the same also in the lightface case. In particular, we show that the family of all the closed Salem sets is $\Pi ^0_3$ -complete. We furthermore characterize the Weihrauch degree of the functions computing Hausdorff and Fourier dimension of closed sets.prepared by Manlio Valenti.E-mail:[email protected]. (shrink)

Inquieta anche il fatto che i nuovi giardini tendano ad assomigliare in modo impressionante a quei “rendering”, anch’essi uno standard, che si trovano esposti nelle vetrine delle sempre più numerose agenzie immobiliari che impestano la periferia diffusa. Ne avevo una vicino a casa qualche trasloco fa, quando abitavo in un appartamento di due stanze con bagno nel quartiere di Santa Lucia.Vitaliano Trevisan, Tristissimi giardini, pp. 46-47 Dopo la mela biblica consumata in un giardino terrestre...

Inquieta anche il fatto che i nuovi giardini tendano ad assomigliare in modo impressionante a quei “rendering”, anch’essi uno standard, che si trovano esposti nelle vetrine delle sempre più numerose agenzie immobiliari che impestano la periferia diffusa. Ne avevo una vicino a casa qualche trasloco fa, quando abitavo in un appartamento di due stanze con bagno nel quartiere di Santa Lucia.Vitaliano Trevisan, Tristissimi giardini, pp. 46-47 Dopo la mela biblica consumata in un giardino terrestre...

The aim of this article is to identify the main factors of the current crisis of the nation-state and to demonstrate how many of the voids left by this crisis are filled by religions. The main characteristic of the nation-state is the principle of sovereignty. The apogee of the nation-state is the political form of industrialization. National identity is possible only when the state proves to its citizens that the fact of being a member of it carries benefits and privileges (...) and will always bring more. Today, the majority of nation-states, in particular the oldest great powers, no longer have this capability. The weakening of the nation-state began at the end of the 19th century. The first wave of globalization multiplied the cases of reciprocal interferences and trespassed on the theoretical impermeability of the sovereign states. The outcome of the First World War, with the creation of the first supranational body, and much more the outcome of the Second World War, were two important steps of this crisis. The birth of the United Nations, and of other supranational bodies, as well as the creation of the first court called to judge an entire political class, were an assault on the principle of sovereignty. The second wave of globalization, characterized by the free circulation of goods, money, people and cultures, did the rest. Moreover, the countries that ‘invented’ the principle of sovereignty are today in relative decline as new powers are emerging. The nation-state is no longer able to keep its promises. The less effective states become at offering their citizens both meaning and social services, the more do religions tend to reoccupy the public stage. The less national and political legitimacy they have, the more powers use the religious tool against one another. (shrink)

Il percorso spirituale, culturale e politico di Ernesto Balducci difficilmente puň essere colto nel suo significato di fondo senza considerare il tema delle sue ‘radici' da un punto di vista biografico ed esistenziale. Nella ‘montagna incantata' dell'Amiata, terra di minatori sospesa tra miseria e povertÀ, si ritrovano infatti le fonti sorgive della sua ispirazione. Quello di Balducci č un ‘pensiero di confine' costruito all'insegna della fedeltÀ all'‘asse evangelico' e, contemporaneamente, di una radicale istanza di laicitÀ. Nel tempo della mondializzazione e (...) dell'interdipendenza dei destini umani il suo principio-speranza, tributario del pensiero utopico di Ernst Bloch e con forti assonanze con impostazioni come quelle di Dietrich Bonhoeffer e Simone Weil, assume una connotazione globale in cui le memorie dell'antico sogno di giustizia e libertÀ del villaggio delle origini si fondono con le inedite aspirazioni della civiltÀ planetaria. (shrink)