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Is the Golden Section a Key for Understanding Beauty? - Part I
Get PDFOur goal is to prove that the golden section, however important, is not the only key to understand a mathematical-formalizing approach to the idea of beauty. Having developed, from this point of view, reading keys linked to the post-modern, it is necessary to link together the multiple rivulets of knowledge that gather in this direction. Moreover the canons of the approaches presented up to now are very indicative for the understanding of many aspects of beauty, which however depends on the historical moment and the cultures created in the various civilizations. Therefore we can affirm that there is no effective definition of "beauty" that can be codified through fixed canons, but that the concept is expressed by a series of stratifications and interpretations that tend to link several major variations, expressing the various answers given by man to the question: what is the beauty
A Legal and Social Framework for the Inclusion of Persons with Disability through Accessible Tourism and Transportation by Bus
Get PDFNational, European, and international institutions should implement social policies to help the persons with disabilities. Strategic sectors include education, training, and work, with the equal protection of the laws. In addition, this essay is focused on another crucial “sector" that is part of the (European) primary law, which include tourism along with public transportation and non-discrimination. In conclusion, legislators, and public institutions, as well as transport companies must comply the principles of accessibility, equality, and social justice for the social inclusion of persons with disabilities
Healing the Psychic Split
Get PDFThis paper is dealing with one of the greatest novels in the British literature, The Golden Notebook by Doris Lessing. The novel and its main character, Anna Wulf can be interpreted in myriad ways, but our analysis is a psychoanalytical one. The introductory part of the paper gives the definitions of the psychoanalytical words that will be later on used in the paper.In The Golden Notebook, the life of Lessing’s main character offers an understanding of issues such as political repression, sexual abuse, single parenthood, writer’s block, and the women’s movement. Anna Wulf’s fragmented personality is caught in the four notebooks that she writes, each one being concerned with one of Anna’s selves. Anna is the most complicated heroine analysed and we will try to discover which of her various selves are confirmed and which are repressed. In Anna’s process of healing, there are two moments of climactic confirmation: the first one when she admits that she is mad and the second one when she admits she has a writer’s block
Schleiermacher’s Universal Hermeneutics and the Problematics of Rule-Following
Get PDFThis paper investigates how Schleiermacher’s universal hermeneutics can be considered as a better alternative to both, German rationalist aesthetics as pioneered by Christian Wolff, and Kant’s transcendental idealism, to the extent of overcoming the problematics of rule-following. A general account of the necessity of a universal hermeneutics and its meaning from historical practices of exegeses is given. This is then followed by the account of rule-following in the tradition of both German rationalist aesthetics and Kant’s transcendental idealism with latter as expounded in Kant’s Critique of Pure Reason. The investigation is comparative and descriptive. The purpose of this study is to discuss the hermeneutic possibilities in research methodologies for human sciences
On a Geometric Representation of Probability Laws and of a Coherent Prevision-Function According to Subjectivistic Conception of Probability
Get PDFWe distinguish the two extreme aspects of the logic of certainty by identifying their corresponding structures into a linear space. We extend probability laws P formally admissible in terms of coherence to random quantities. We give a geometric representation of these laws P and of a coherent prevision function P which we previously defined in an original way. We are the first in the world to do this kind of work: it is the foundation of our next and extensive study concerning the formulation of a geometric, wellorganized and original theory of random quantities
Mediterranean Civil Economy and the European System
Get PDFThis paper argues that: a) the indiscriminate application of the German model to all European countries (mainly to Mediterranean Catholic countries) has fostered economic growth in the EU at different speeds; b) Italy, the cradle of Catholic capitalism, is currently attempting to react against austerity measures - imposed by the economic constrictions of the German model – by focusing on the third sector and non-profit companies.
Bruno Rizzi and Number Theory
Get PDFFranco Eugeni remembers Bruno Rizzi: in this brief introduction, I would like to remember an afternoon spent in “Roma Tre” with Bruno, since we were both Ordinary Professors at that University. We passed it doing a dense program of work for the next three years. At 6.00 pm, I left for “Roseto degli Abruzzi”. At six o'clock a.m. of the next morning, I still have the voice in my ears. A phone call from the Headmaster Ciro d'Aniello, who told me "The Professor is dead" In that afternoon, Emilio Ambrisi and I went to Rome; we were stunned and desperate. Not many days later, a conference was held at the University of Teramo; it was the conference that we had prepared for Bruno, to celebrate his 60th birthday, but it was his memory. In the opening conference, Prof. Antonino Giambo, also fraternal friend of Bruno, burst into a tearful cry, which expressed in a moment, the senses of friendship and love that we all had for the missing friend! Starting from this work with Fabrizio Maturo, the study of some problems left open by the works of Eugeni and Rizzi will be investigated.SuntoRicordo di Franco Eugeni su Bruno Rizzi: in questa brevissima introduzione vorrei ricordare un pomeriggio passato a Roma Tre con Bruno, visto che allora eravamo entrambi Professori Ordinari in quella Università. Lo passammo a fare un denso programma di lavoro per i successivi tre anni. Alle 18.00 ripartii per Roseto degli Abruzzi. Alle sei del mattino successivo, ho ancora la voce nelle orecchie, una telefonata del Preside Ciro d’Aniello, che mi diceva “Il Professore è morto” Nel pomeriggio Emilio Ambrisi ed io ci recammo a Roma, eravamo attoniti e disperati. Non molti giorni dopo si tenne presso l’Università di Teramo un Convegno, era il Convegno che avevamo preparato per Bruno, per festeggiare i suoi 60 anni, fu invece il ricordo. Nella conferenza di apertura il prof. Antonino Giambò, anche lui, come noi, fraterno amico di Bruno, scoppiò in un pianto dirotto, che espresse in un attimo, i sensi dell’amicizia e dell’amore, che tutti noi avevamo per l’amico scomparso! A partire da questo lavoro con Fabrizio Maturo verrà approfondito lo studio di alcune problematiche rimaste aperte dai lavori di Eugeni e Rizzi
Art Gallery Theorems
Get PDFSome important results about art gallery theorems are proposed, starting from Chvátal’s essay, using also polygon triangulations and orthogonal polygons
On Rough Sets and Hyperlattices
Get PDFIn this paper, we introduce the concepts of upper and lower rough hyper fuzzy ideals (filters) in a hyperlattice and their basic properties are discussed. Let be a hyper congruence relation on . We show that if is a fuzzy subset of , then and , where is the least hyper fuzzy ideal of $L$ containing $\mu$ and \mu^*(x) = sup\{\alpha \in [0, 1]: x \in I( \mu_{\alpha} )\} for all . Next, we prove that if is a hyper fuzzy ideal of , then is an upper rough fuzzy ideal. Also, if is a complete on and is a hyper fuzzy prime ideal of such that is a proper fuzzy subset of , then is an upper rough fuzzy prime ideal. Furthermore, let be a -complete congruence relation on . If is a hyper fuzzy ideal, then is a lower rough fuzzy ideal and if is a hyper fuzzy prime ideal such that is a proper fuzzy subset of , then is a lower rough fuzzy prime ideal
Is the Golden Section a Key for Understanding Beauty? (Part II)
Get PDFOur goal is to prove that the golden section, however important, is not the only key to understand a mathematical-formalizing approach to the idea of beauty. Having developed, from this point of view, reading keys linked to the post-modern, it is necessary to link together the multiple rivulets of knowledge that gather in this direction. Moreover the canons of the approaches presented up to now are very indicative for the understanding of many aspects of beauty, which however depends on the historical moment and the cultures created in the various civilizations. Therefore we can affirm that there is no effective definition of "beauty" that can be codified through fixed canons, but that the concept is expressed by a series of stratifications and interpretations that tend to link several major variations, expressing the various answers given by man to the question: what is the beauty