A topos version of Cantor’s back and forth theorem is established and used to prove that the ordered structure of the rational numbers (Q, <) is homogeneous in any topos with natural numbers object. The notion of effective homogeneity is introduced, and it is shown that (Q, <) is a minimal effectively homogeneous structure, that is, it can be embedded in every other effectively homogeneous ordered structure.

In 1996, W. Veldman and F. Waaldijk present a constructive (intuitionistic) proof for the homogeneity of the ordered structure of the Cauchy real numbers, and so this result holds in any topos with natural number object. However, it is well known that the real numbers objects obtained by the traditional constructions of Cauchy sequences and Dedekind cuts are not necessarily isomorphic in an arbitrary topos with natural numbers object. Consequently, Veldman and Waaldijk's result does not apply to the ordered structure (...) of Dedekind real numbers in toposes. The main result to be proved in the present paper is that the ordered structure of the Dedekind real numbers object is homogeneous, in any topos with natural numbers object. This result is obtained within the framework of local set theory. (shrink)

Ao evidenciar que as relações estabelecidas por homens e mulheres com o meio concreto engendram o real, a dialética torna exequível a revolução do status quo por possibilitar a compreensão de que o mundo é sempre resultado da práxis humana, seja ela marcada por relações de dominação que reificam e fetichizam a prática social, seja marcada por relações que operam a humanização dos homens e mulheres. Ao romper com os fetiches, ou seja, ao perceber que os objetos não devem sujeitá-los, (...) homens e mulheres avançam de encontro à reificação, alçando-se a possibilidade de revolucionar suas condições de existência. Assim, o rompimento da pseudoconcreticidade ocorre no momento em que se evidencia que a realidade social se concretiza por meio das condições de produção e reprodução da existência social das pessoas, que é em nossa sociedade marcada pela luta de classes. Este processo de rompimento exige um esforço construtor de uma interpretação do real que vá para além de uma representação caótica do todo, típico das vivências cotidianas. Este artigo postula que o método materialista histórico dialético pode auxiliar neste processo. Partindo desta constatação, elabora-se reflexão sobre este método de análise do real. By showing that the relationships established by men and women with the practical means to engender real, dialectic makes possible the revolution of the status quo by allowing the understanding that the world is always the result of human practice, it is marked by relations of domination that fetishize and reify the social practice or marked by relationships that operate at the humanization of men and women. By breaking with the fetishes, or to realize that objects should not expose them, men and women advance against reification, raising the possibility of revolutionizing his conditions of existence. Thus, disruption of pseudoconcreticity occurs at the moment is evident that social reality is concretized through the conditions of production and reproduction of social existence, which is in our society marked by class struggle. This process requires a breakout effort to construct an interpretation of reality that go beyond a representation of the whole chaotic, typical of everyday experiences. This article posits that the historical materialist dialectical method con help this process. Based on this observation, we undertake reflection on this method of analysis of the real. (shrink)

During the recent decades, a global culrural-institutional network has gradually grown lip to project, implement, and use an enormous technological web that is supposed to observe, monitor, communicate, inventory, and assess our environment and its biodiversity in order to implement sustainable management models. The majority of "knowledge tools" that have been incorporated in the mainstream of this "techno-web" are amply based on a combination of mechanistic biology, genetic reductionism, economical determinism and neo-Darwinian cultural and biological perspectives. These approaches leave aside (...) many of the qualitative and relational aspects that can only be grasped by considering the semiotic networks operative in complex ecological and cultural systems. In this paper, it is suggested that a biosemiotic approach to ecology may prove useful for the modelling process which in turn will allow the construction of meaningful monitoring systems. It is aJso advanced that it may as well serve to better integrate our understanding and monitoring of ecosystems into the cultural process of searching for (human) sustainability. (shrink)

recover that lost impetus, that onward movement of creativeness, which is of its very essence of Life. Full self-realization can only be opened up to it, ...

Thomistic ontology -- Ontological morality and human rights -- The war of the philosophers -- The modern way -- Pope Leo XIII and his legacy -- The survival of tradition.

El derecho a la salud, mejor dicho, el derecho a la protección de la salud, se reconoce como un bien público global que, para ser efectivo, tiene que apoyarse tanto en la legislación como en las decisiones políticas.

Europa se muestra en los modos de vida por su cultura, espíritu que vive hacia la verdad, el bien y la belleza, vital antes que mecánicamente, como manifestación del espíritu. Supera la naturaleza cultivando logos y nomos. Fomenta la capacidad de conocimiento y de valoraciones morales, estéticas y sociales. La vida debe ser culta, pero la cultura tiene que ser vital. Se abre al espíritu de vida culta, intensa y generosa. El vivir humanista europeo afirma un modo espiritual civil, sentir (...) el bien, la belleza y la justicia. Disfrute en el esfuerzo, no sólo placer y una bella donación de sí mismo al bien propio y compartido. (shrink)

The first comprehensive research book on Cynicism published in English. Provides descriptive information on over 650 books on the Greek and Roman Cynics.

Contra la nación y la patria : Guillén de Lampart, rey de México -- Labios azules -- Cronotopía del oasis.