It is well known that MTL satisfies the finite embeddability property. Thus MTL is complete w. r. t. the class of all finite MTL-chains. In order to reach a deeper understanding of the structure of this class, we consider the extensions of MTL by adding the generalized contraction since each finite MTL-chain satisfies a form of this generalized contraction. Simultaneously, we also consider extensions of MTL by the generalized excluded middle laws introduced in [9] and the axiom of weak cancellation (...) defined in [31]. The algebraic counterpart of these logics is studied characterizing the subdirectly irreducible, the semisimple, and the simple algebras. Finally, some important algebraic and logical properties of the considered logics are discussed: local finiteness, finite embeddability property, finite model property, decidability, and standard completeness. (shrink)

Der Begriff «Harmonie» wird unter musikalischen, philosophischen, psychologischen und neurologischen Gesichtspunkten behandelt. Sein Bezug zur Verschmelzungslehre von Carl Stumpf wird erörtert. Die Beiträge des Bandes reichen von der antiken Musiktheorie über die Phänomenologie bis zu neuen neuroakustichen Modellen.

The article is a reflection about the controversies on social media. It analyzes a week of Folha de São Paulo’s posts, the largest Brazilian newspaper, on its Facebook page. The methodological basis adopted is the Grounded Theory. From the results, in a week of data collection, it seeks to theorize over coercive factors for the emergence of discursive struggles, with the aim of outlining a phenomenology of commentaries, based on Alfred Schutz, Thomas Luckmann and Peter Berger. Finally, it contrasts this (...) situation of online conflicts with the Brazilian identity and the historical moment of the country. (shrink)