Notion Of Fusion Research Articles

Two notions of fusion and the landscape of extensionality

There are two main ways in which the notion of mereological fusion is usually defined in the current literature in mereology which have been labelled ‘Leśniewski fusion’ and ‘Goodman fusion’. It is well-known that, with Minimal Mereology as the background theory, every Leśniewski fusion also qualifies as a Goodman fusion. However, the converse does not hold unless stronger mereological principles are assumed. In this paper I will discuss how the gap between the two notions can be filled, focussing in particular on two specific sets of principles that appear to be of particular philosophical interest. The first way to make the two notions equivalent can be used to shed some interesting light on the kind of intuition both notions seem to articulate. The second shows the importance of a little-known mereological principle which I will call ‘Mild Supplementation’. As I will show, the mereology obtained by adding Mild Supplementation to Minimal Mereology occupies an interesting position in the landscape of theories that are stronger than Minimal Mereology but weaker than what Achille Varzi and Roberto Casati have labelled ‘Extensional Mereology’.

“...para quién tenga ojos para ver”. Martín Noel, el urbanismo de un connaisseur

Pocos ejemplos en Latinoamérica de un connaisseur como Martín Noel. Con un gusto formado en aulas europeas, pero adjudicado al rol nutritivo de los viajes, usa la vista y un lenguaje sustentando en la descripción y los adjetivos para emitir juicios estéticos, adjudicar filiaciones y, aún, laudar sobre esencias culturales impresas en fisonomías que se discierne, sobre todo, en las ciudades como paisaje. El artículo hace énfasis en el viaje como experiencia y sustrato metodológico del Noel historiador, y rastrea la matriz de su aporte teórico –la noción de fusión como germen de un arte colonial autónomo- en fuentes, estrategias expositivas, argumentos y referencias a Spengler y Ruskin. A esta noción de fusión recurre, ya como miembro de la Comisión de Estética Edilicia (CEE), redactora del Proyecto Orgánico de 1925, para fundamentar, en nombre de la fisonomía esencial de Buenos Aires, la posible conciliación de su condición de ciudad capital con un presente inquietantemente cosmopolita.

VIAJANDO EM TORNO DE PELÉ: CONSTRUÇÕES LITERÁRIAS DO “REI” – BIOGRAFIA, AUTOBIOGRAFIA E ROTEIRO CINEMATOGRÁFICO

O objetivo do estudo é analisar duas produções biográficas, pensando como foi construída e quais seriam as características da imagem do personagem Pelé. Dessa forma, busca-se estabelecer aproximações e distanciamentos que se alinham à teorização de Mario Filho, no que se refere à mestiçagem. A fim de tecer o estudo de tais fontes, recorre-se ao uso da análise literária, com base na noção de fusão entre texto e contexto de Antonio Candido. É possível perceber que todas as obras tratadas estão relacionadas por um único objetivo: mitificar Pelé, por meio do enaltecimento ao mestiço – característica identificada à época como tipicamente brasileira.

What is Classical Mereology?

Classical mereology is a formal theory of the part-whole relation, essentially involving a notion of mereological fusion, or sum. There are various different definitions of fusion in the literature, and various axiomatizations for classical mereology. Though the equivalence of the definitions of fusion is provable from axiom sets, the definitions are not logically equivalent, and, hence, are not inter-changeable when laying down the axioms. We examine the relations between the main definitions of fusion and correct some technical errors in prominent discussions of the axiomatization of mereology. We show the equivalence of four different ways to axiomatize classical mereology, using three different notions of fusion. We also clarify the connection between classical mereology and complete Boolean algebra by giving two “neutral” axiom sets which can be supplemented by one or the other of two simple axioms to yield the full theories; one of these uses a notion of “strong complement” that helps explicate the connections between the theories.

Fusion of functions: The syntax of once, twice and thrice

In this paper we present a detailed new analysis of the English expressions once, twice and thrice. These, we claim, are primarily compound determinatives, analogous in many respects to expressions like someone and somewhere. The new analysis exploits the framework of the Cambridge grammar of the English language (2002) in which the morphological nature of the compound determinative category reflects a fusion of functions, typically determiner (or modifier) and head of NP. We refine the notion of fusion of functions, and show that constructions which employ fusion of functions have properties which clearly distinguish them from superficially similar constructions which employ incorporation or hybridization. The paper therefore provides further evidence for the existence of fusion of functions as a distinct syntactic configuration, and indirectly supports theoretical frameworks which treat functions and categories as distinct primitives.

Context, agency and Chineseness: The music of Law Wing Fai

‘East Meets West’ is a label often used to refer to compositions that incorporate Asian and European musical elements. Despite its popularity, this characterization is problematic. It not only essentializes both regions, but also trivializes the creative, and highly individual, impulses of the composers as well as the larger political potential of their music. This article discusses the implication of this label by focusing on recent works written for the pipa and Western orchestra by the Hong Kong composer Law Wing Fai. Specifically, it addresses his approach to musical hybridity and its cultural relevance. Underlying the analysis is the assumption that the process of appropriation is always political and never neutral. The author follows the musical traces that characterize Law Wing Fai's personal aesthetics, style and identity, and situates them within the cosmopolitan, contradictory, and idiosyncratic cultural milieu of Hong Kong. By way of Law's music, the notion of fusion is problematized and subjectivity is interjected into the discussion of hybridity. Furthermore, the importance of context in shaping creativity is stressed and discourse is offered that argues for the need to establish an analytical space that transcends the limitations of an ‘East Meets West’ essentialism and allows a recognition of how new artistic possibilities emerge out of a combination of cultural conditioning and individualism.

Cobordisms of finite quadratic forms and gluing oriented manifolds

We develop certain discriminant form techniques allowing one to “glue” two integral lattices into a new lattice. In particular, we introduce the notion of fusion of finite forms, which is closely connected with the more familiar notion of cobordism of such forms. We also consider the category of finite forms and their cobordisms. These techniques are used for describing the intersection form of a compact oriented 4k-manifold M obtained by gluing together two manifolds M1 and M2 along one or several boundary components (the intersection forms of M1 and M2 are assumed to be nondegenerate). Bibliography: 12 titles.

Representations of quantum affine algebras

Let @ be a finite dimensional simple Lie algebra and @ the corresponding affine Kac-Moody algebra. The notion of the fusion in the category (9 of representations of a n n e Kac-Moody algebras (5 was introduced ten years ago by physicists in the framework of Conformal Field Theory. This notion was developed in a number of mathematical papers (see, for example, [TUY]) where the notion of fusion is rigorously defined and in [D1] where the relation between the fusion and quantum groups in the quasi-classical region was established. This line of development was extended in [KL] to a construction on equivalence between the "fusion" category for an arbitrary negative charge and the category of representations of the corresponding quantum group (for simply-laced affine Kac-Moody algebras).