Pythagoras Number Theory and the Scientific Beauty of the Theory Origin

2012 ◽  
Vol 490-495 ◽  
pp. 3410-3413
Author(s):  
Zhi De Wang

In the long journey of the western aesthetics development, science and aesthetics especially the mathematics and the aesthetics relationship is more intimate. In the ancient Greece civilization, there is a very prominent characteristic, which is a kind of unparalleled thick interesting to question closely to the nature. As they don’t satisfied only stay in the imagination of the world picture view of the poetic in the mythology, and try to use the reason to guide the heaven sent human being’s imagination, they try eagerly to explain the nature order, evolution and movement. When the ancient Greece natural philosophers do the nature science research, they also do the aesthetic research. Pythagoras, as a mathematician and physicist and a astronomer, who with most of the disciples used the nature science view to see the aesthetics problems once at the beginning, which created the second to none of the method of quantitative research of the things.

1987 ◽  
Vol 1 (1) ◽  
pp. 53-85 ◽  
Author(s):  
Simon Schaffer

The ArgumentRecent historiography of the Scientific Revolution has challenged the assumption that the achievements of seventeenth-century natural philosophy can easily be described as the ‘mechanization of the world-picture.’ That assumption licensed a story which took mechanization as self-evidently progressive and so in no need of further historical analysis. The clock-work world was triumphant and inevitably so. However, a close examination of one key group of natural philosophers working in England during the 1670s shows that their program necessarily incorporated souls and spirits, attractions and congruities, within both their ontology and their epistemology. Any natural philosophical strategy which excluded spirits and sympathies from its world was condemned as tending to subversion and irreligion. This examination shows that the term ‘mechanical philosophy’ was a category given its meanings within local contexts and carries no universal sense separate from that accomplished by these natural philosophers. It also shows how the experimental praxis was compelled to treat souls and spirits, to produce them through experimental labor, and then to extend these experimentally developed entities throughout the cosmos, both social and natural. The development of mechanical philosophy cannot be used to explain the cognitive and social structure of this program, nor its success: instead, the historical setting of experimental work shows how a philosophy of matter and spirit was deliberately constructed by the end of the seventeenth century.


The diary papers of V. Vynnychenko (1911—1925) as a special interpretive field for studying the author’s world-view aesthetics and his creative intentions are analyzed. The text of the diary is systematized, based on the relevant material: the author’s thoughts on the nature of creativity as a special way of comprehending the world and a person in it; creativity as a manifestation of a person’s specific mental organization; creativity as an opportunity for self-manifestation in the present/future dyad; etc. The degree of correlation of conditions and possibilities to create, which were important for V. Vynnychenko as a politician while the fundamental changes at the beginning of the XXth century in Ukraine took place are also noticed in the article. The author’s issues given in the diary are considered in the aesthetic context of the literary process at the turn of the XIX-XXth centuries, when cardinal changes took place under the influence of interpretative changes of the world picture in philosophy and culture in general are represented in the given work. In addition, attention was paid to the concept of «creative act» and its understanding by V. Vynnychenko as a staged phenomenon: the plan, the stages of its realization, the role of intuition, fiction, fantasy in the creation of the another reality. The author’s interpretation of the author’s phenomenon taking into account to the interaction of the concepts of «endowment», «talent» and «genius» is given and commented. The emphasis is placed on V. Vynnychenko’s diary thoughts about the latest trends in Ukrainian literature of the early XXth century: homocentration, modernism as an art system renovation of the genre and poetic paradigm. To sum up, this allowed to understand the creative laboratory of the author more deeply and earnestly. The diary material is directed to the artistic creation of V. Vynnychenko - the play «The black Panther and the White Bear» for their semantic proximity: the process of creativity, psychological, aesthetic dominant of creativity, symbolism, artist’s essence researches. The perspective of the proposed direction of studying mnemonic and literary material is grounded, which allows the use of an interdisciplinary methodology for understanding aesthetic phenomena.


Author(s):  
Gary Goertz ◽  
James Mahoney

Some in the social sciences argue that the same logic applies to both qualitative and quantitative research methods. This book demonstrates that these two paradigms constitute different cultures, each internally coherent yet marked by contrasting norms, practices, and toolkits. The book identifies and discusses major differences between these two traditions that touch nearly every aspect of social science research, including design, goals, causal effects and models, concepts and measurement, data analysis, and case selection. Although focused on the differences between qualitative and quantitative research, the book also seeks to promote toleration, exchange, and learning by enabling scholars to think beyond their own culture and see an alternative scientific worldview. The book is written in an easily accessible style and features a host of real-world examples to illustrate methodological points.


Based on personal accounts of their experiences conducting qualitative and quantitative research in the countries of the Middle East and North Africa, the contributors to this volume share the real-life obstacles they have encountered in applying research methods in practice and the possible solutions to overcome them. The volume is an important companion book to more standard methods books, which focus on the “how to” of methods but are often devoid of any real discussion of the practicalities, challenges, and common mistakes of fieldwork. The volume is divided into three parts, highlighting the challenges of (1) specific contexts, including conducting research in areas of violence; (2) a range of research methods, including interviewing, process-tracing, ethnography, experimental research, and the use of online media; and (3) the ethics of field research. In sharing their lessons learned, the contributors raise issues of concern to both junior and experienced researchers, particularly those of the Global South but also to those researching the Global North.


Recent decades have seen a major expansion in our understanding of how early Greek lyric functioned in its social, political, and ritual contexts. The fundamental role song played in the day-to-day lives of communities, groups, and individuals has been the object of intense study. This volume places its focus elsewhere, and attempts to illuminate poetic effects that cannot be captured in functional terms. Employing a range of interpretative methods, it explores the idea of lyric performances as textual events. Several chapters investigate the pragmatic relationship between real performance contexts and imaginative settings. Others consider how lyric poems position themselves in relation to earlier texts and textual traditions, or discuss the distinctive encounters lyric poems create between listeners, authors, and performers. In addition to studies that analyse individual lyric texts and lyric authors (Sappho, Alcaeus, Pindar), the volume includes treatments of the relationship between lyric and the Homeric Hymns. Building on the renewed concern with the aesthetic in the study of Greek lyric and beyond, Textual Events re-examines the relationship between the poems’ formal features and their historical contexts. Lyric poems are a type of sociopolitical discourse, but they are also objects of attention in themselves. They enable reflection on social and ritual practices as much as they are embedded within them. As well as enacting cultural norms, lyric challenges listeners to think about and experience the world afresh.


Author(s):  
Yuriko Saito

This chapter argues for the importance of cultivating aesthetic literacy and vigilance, as well as practicing aesthetic expressions of moral virtues. In light of the considerable power of the aesthetic to affect, sometimes determine, people’s choices, decisions, and actions in daily life, everyday aesthetics discourse has a social responsibility to guide its power toward enriching personal life, facilitating respectful and satisfying interpersonal relationships, creating a civil and humane society, and ensuring the sustainable future. As an aesthetics discourse, its distinct domain unencumbered by these life concerns needs to be protected. At the same time, denying or ignoring the connection with them decontextualizes and marginalizes aesthetics. Aesthetics is an indispensable instrument for assessing and improving the quality of life and the state of the world, and it behooves everyday aesthetics discourse to reclaim its rightful place and to actively engage with the world-making project.


Author(s):  
Bart Vandenabeele

Schopenhauer explores the paradoxical nature of the aesthetic experience of the sublime in a richer way than his predecessors did by rightfully emphasizing the prominent role of the aesthetic object and the ultimately affirmative character of the pleasurable experience it offers. Unlike Kant, Schopenhauer’s doctrine of the sublime does not appeal to the superiority of human reason over nature but affirms the ultimately “superhuman” unity of the world, of which the human being is merely a puny fragment. The author focuses on Schopenhauer’s treatment of the experience of the sublime in nature and argues that Schopenhauer makes two distinct attempts to resolve the paradox of the sublime and that Schopenhauer’s second attempt, which has been neglected in the literature, establishes the sublime as a viable aesthetic concept with profound significance.


1973 ◽  
Vol 93 ◽  
pp. 74-103 ◽  
Author(s):  
John Gould

To Professor E. R. Dodds, through his edition of Euripides'Bacchaeand again inThe Greeks and the Irrational, we owe an awareness of new possibilities in our understanding of Greek literature and of the world that produced it. No small part of that awareness was due to Professor Dodds' masterly and tactful use of comparative ethnographic material to throw light on the relation between literature and social institutions in ancient Greece. It is in the hope that something of my own debt to him may be conveyed that this paper is offered here, equally in gratitude, admiration and affection.The working out of the anger of Achilles in theIliadbegins with a great scene of divine supplication in which Thetis prevails upon Zeus to change the course of things before Troy in order to restore honour to Achilles; it ends with another, human act in which Priam supplicates Achilles to abandon his vengeful treatment of the dead body of Hector and restore it for a ransom. The first half of theOdysseyhinges about another supplication scene of crucial significance, Odysseus' supplication of Arete and Alkinoos on Scherie. Aeschylus and Euripides both wrote plays called simplySuppliants, and two cases of a breach of the rights of suppliants, the cases of the coup of Kylon and that of Pausanias, the one dating from the mid-sixth century, the other from around 470 B.C. or soon after, played a dominant role in the diplomatic propaganda of the Spartans and Athenians on the eve of the Peloponnesian War.


1952 ◽  
Vol 45 (2) ◽  
pp. 87-104 ◽  
Author(s):  
W. K. C. Guthrie

I recently became aware that I had for a long time entertained certain preconceptions about the way in which Presocratic thinkers saw the world, without ever having seriously considered the evidence on which my belief was based. This I have now tried to do, with the results which are set forth in this paper. Since in any case it will deal, in a fairly general way, with problems concerning the interaction of philosophical and religious thought in early Greece, I hope it will have a certain interest, whether or not its readers agree with the thesis put forward. The perennial fascination of that topic has been enhanced in recent years by the discussion provoked by Werner Jaeger's book on The Theology of the Early Greek Philosophers, from which I take this sentence as a kind of text for my own reflections: “Though philosophy means death to the old gods, it is itself religion.”


1982 ◽  
Vol 8 (1) ◽  
pp. 13-27 ◽  
Author(s):  
Malcolm Barber
Keyword(s):  

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