Mathematics and the New Sciences

Author(s):  
Niccolo Guicciardini

This article examines the mutual influences between mathematics and the new sciences that emerged in the long seventeenth century, whereby new scientific enterprises fostered the development of new mathematical methods and mathematical developments in turn paved the way for new scientific research. It begins with an overview of the revolutions in mathematics in the long seventeenth century and the status of the mathematical sciences in the Late Renaissance, followed by a discussion on the work of mathematicians in the late sixteenth century including Galileo, René Descartes, Gottfried Wilhelm Leibniz, Jacob Bernoulli, Gerhard Mercator, and Edmond Halley. It also describes the work done in the areas of organic geometry and mechanical curves, infinitesimals, and mechanics.

Author(s):  
Joe Moshenska

This chapter begins with a wooden doll from the seventeenth century that is juxtaposed with the statues from Audley End considered in the previous chapter on the basis of their equally fixed, impassive visages. This feature is used to consider the way in which children, especially when at play, have been seen as troublingly masked, inscrutable, alien beings. It discusses accounts from the sixteenth century, notably John Harington’s, that recognize in play periods of vacant, blank, neutral time. It then proceeds to an extended reading of Bruegel’s painting Children’s Games, and especially a consideration of the reading of this work by the Nazi art historian Hans Sedlmayr. This painting, and Sedlmayr’s remarkable and deeply disquieting account, are seen as encapsulating the ways in which child’s play’s resistance to interpretation can provoke fear and horror--a possibility linked to the periodic association of children with witchcraft and demonic possession.


2021 ◽  
Vol 26 ◽  
pp. 307-329
Author(s):  
Teresa Banaś-Korniak

The aim of the article is to compare two old-Polish dramas of the so-called “popular scene”, and thus point to the directions of evolution of carnival representations in the former Polish Nobles’ Republic. The first work comes from the mid-sixteenth century and is characterised by a simple story. The second , written in the first half of the seventeenth century, has a vast plot and much more extensive stage directions. By contrasting both the story and the type of heroes and the way of constructing a verbal joke by anonymous authors, the author comes to the conclusion that although both performances meet the convention of old-Polish “tragicomedy”, one can see not only similarities, but also significant differences. In Tragedia żebracza of 1552, the story is based on one plot only (the conflict between beggars and a merchant), while in the text written in the seventeenth century there are many more plots. In both texts, cheerful scenes are intertwined with sad ones (according to the then convention of “tragicomedy”), and the finales of the stories in both works are happy. The comedy is achieved, both in the sixteenth- and seventeenth- century drama, mainly through contrast and surprise (e.g. contrasting characters with a different mentality, ways of thinking and speaking; the contrast between stereotypical images and authentic images of people, inadequacy of declarations in relation to real people, behaviour of some stage characters incompatible with the viewer’s expectations, an example of which is a lively dance of an allegedly sick and lame beggar, etc.) In both texts we observe a type of humour that fits into the old-Polish concept of so-called “satirical comedy”. This means that some characters are consciously and deliberately degraded by ridiculing and highlighting their negative traits. Thus, comic elements do not serve only a ludic function and are not merely “attached” to the story itself to achieve humorous effects, as Julian Lewański, a researcher of old-Polish drama, wrote many years ago. This is because comedy also serves for didactic purposes. More recognizable as a “carnival” drama is the seventeenth-century work. It contains, unlike the sixteenth-century work, a lot of allusions to the carnival time and post-New Year’s party (organised after t New Year’s Day). In the extended stage directions of the Baroque text, the author signalled much more stage means to build comic situations than in the sixteenth-century drama, for example, the author’s information on the facial expressions or, close to pantomime, the actors’ clownish movements are significant. This is related to the appearance, the action and the characteristics of the mask-characters. The masquerade is still very poorly outlined in Renaissance tragicomedy (removing rags and putting on beautiful robes by the beggars can be treated as the masquerade). The Baroque text is dominated by stage characters wearing masks. In the seventeenth-century work we can also observe a desire to diversify the action, increasing the number of comedy heroes and verbal jokes. In these jokes there is a play on words, funny associations, paronymity and ambivalence of meanings. In the Baroque drama the number of means and ways of expressing comedy has also increased, e.g. we observe language parodies absent from the sixteenth-century text, unusual concepts and arguments of stage characters based on absurdity. Moreover, the anonymous seventeenth-century author used literary irony in his text (in the “sophist’s” utterance) as a separate means of provoking comedy. The contrast of those two “carnival” shows originating from two old-Polish literary periods — the Renaissance and the Baroque, is a testimony to the development and transformation of the “tragicomedy” genre.


The Perraults ◽  
2018 ◽  
pp. 37-51
Author(s):  
Oded Rabinovitch

The second chapter analyzes the Perrault family strategy up to about 1660. Initially, the Perraults had no connections to literary life, and they were involved in legal professions. However, the status of lawyers was declining in the last years of the sixteenth century and early years of the seventeenth century, and the careers of the couple’s sons represented attempts to diversify the family’s educational and professional investments. Most significantly, Pierre II developed a career in the monarchy’s financial administration, built on the venality of office. Responding to the monarchy’s thirst for cash, financiers like Pierre played a high-stake game: while they could go bankrupt, they also stood to make immense profits from loans to the monarchy and from tax collecting. Thus this chapter demonstrates the importance of “court capitalism” and office-holding to the first literary endeavors of the family.


Nuncius ◽  
1993 ◽  
Vol 8 (1) ◽  
pp. 41-74
Author(s):  
CESARE S MAFFIOLI

Abstract<title> SUMMARY </title>This article wishes to demonstrate the importance of several areas of scientific research, until now neglected, and their relevance to Italian physical sciences in the age between Galileo and Volta. The science of waters, which joined the cluster of the new Galilean sciences in the seventeenth century in particular deserves greater attention if we are to understand the scientific traditions developed South of the Alps. This science represented an extension of the Galilean science of motion in an engineering context, a development that concerned both mathematical and experimental theories. This development took place in the border area between the physical and the mathematical sciences, and also involved the medical and naturalistic traditions. This line of tought led the Italian physical scientists to discover both new fields of research and new forms of social support, and hence overcome the crisis that followed the end of the historic Medicis patronage.


2008 ◽  
Vol 71 (1) ◽  
pp. 75-91 ◽  
Author(s):  
Yigal Bronner ◽  
Gary A Tubb

AbstractThe last active period in the tradition of Sanskrit poetics, although associated with scholars who for the first time explicitly identified themselves as new, has generally been castigated in modern histories as repetitious and devoid of thoughtfulness. This paper presents a case study dealing with competing analyses of a single short poem by two of the major theorists of this period, Appayya Dīkṣita (sixteenth century) and Jagannātha Paṇḍitarāja (seventeenth century). Their arguments on this one famous poem touch in new ways on the central questions of what the role of poetics had become within the Sanskrit world and the way in which it should operate in relation to other systems of knowledge and literary cultures.


Zograf ◽  
2018 ◽  
pp. 155-164
Author(s):  
Tsvetan Vasilev

The text presents several unpublished Greek inscriptions written on the scrolls of St. Cyriacus the Anchorite from Bulgaria. The main focus falls on an inscription from the narthex of the Rozhen Monastery (sixteenth century) and its identification; parallel inscriptions observed in Athonite monasteries are discussed too. A second group of inscriptions from Bulgaria and Macedonia are also discussed, with a stronger focus on an inscription in the church St. Apostles Peter and Paul in Veliko Tarnovo. The linguistic analysis attempts to discern the patterns by which such ascetic texts are visualized and transformed along the way from their original textual source to their final destination - the wall painting.


1994 ◽  
Vol 87 (1) ◽  
pp. 49-65 ◽  
Author(s):  
William M. Spellman

One of the more troublesome issues facing Protestant reformers after the abolition of the Roman Catholic purgatory in the early sixteenth century was the need to explain the status of body and soul in the interim between death and resurrection. Eager to identify the precise destination of the whole person after bodily expiration but before the general judgment, preachers sought to bring comfort to bereaved survivors of the recently departed by formulating an acceptable counterpoise to the centuries-old Roman Catholic geography of the other world. Unlike the authors of learned theological treatises on the nature of the soul and body, eulogists faced the unenviable task of interpreting the experience of death and its sequel to an audience that often lacked the sophistication required for the rigors of sustained exegesis. The task of the eulogist was to attempt to make plain the contours of postmortem existence in a manner designed both to warn and to reassure. In their efforts to define an emotionally satisfying alternative to the Roman Catholic story, however, English Protestants formulated an increasingly wide variety of disparate—and sometimes contradictory—accounts of life after death, each of which was normatively based upon a personal understanding of scripture. By the late seventeenth century, even as English funeral sermons that treated the afterlife began to reflect a broad consensus regarding the separate destinations of body and soul, there remained much confusion over the precise condition of those eternal partners before Christ's promised return. The failure to resolve this dilemma in a satisfactory manner and the inability to arrive at an acceptable consensus on a matter of central concern to believing Christians contributed to the growth of mortalist and annihilationist theories by the close of the century. Conceptual disarray within the orthodox camp, then, provided an opportunity for more innovative thinkers to step forward, persons whose understanding of eschatological time, anchored in their own unique interpretation of the Christian scriptures, negated any need for continued debate about a putative “middle place”.


1993 ◽  
Vol 28 (112) ◽  
pp. 352-358
Author(s):  
Alan Ford

There is a marked difference between the history of the Church of Ireland in the sixteenth century and in the early seventeenth century. The historian of the early Reformation in Ireland has to deal with shifting religious divides and, in the Church of Ireland, with a complex and ambiguous religious entity, established but not necessarily Protestant, culturally unsure, politically weak, and theologically unselfconscious. By contrast, the first part of the seventeenth century is marked by the creation of a distinct Protestant church, clearly distinguished in structural, racial, theological and political terms from its Roman Catholic counterpart. The history of the Church of Ireland in the first four decades of the seventeenth century is therefore primarily about the creation of this church and the way in which its new structures and exclusive identity were shaped.


Author(s):  
Peter N. Miller

This chapter surveys the antiquarians of the Late Renaissance to Early Enlightenment periods. It shows how Italy in the sixteenth century saw an even deeper and broader engagement with the antiquities, and the identification of a group of people devoted to the study of its material remains. Through objects, Renaissance scholars gained access to parts of the past that were not discussed in texts or were discussed in texts that no longer survived. By the end of the sixteenth century, antiquarianism had spread across Europe, and the chapter pinpoints these waves of progress in the history of antiquarianism through a number of key individuals: Nicolas-Claude Fabri de Peiresc (1580–1637), Jacob Spon (1647–1685), and Gottfried Wilhelm Leibniz (1646–1716).


Author(s):  
James Hankins

Though it never successfully challenged the dominance of Aristotelian school philosophy, the revival of Plato and Platonism was an important phenomenon in the philosophical life of the Renaissance and contributed much to the new, more pluralistic philosophical climate of the fifteenth and sixteenth centuries. Medieval philosophers had had access only to a few works by Plato himself, and, while the indirect influence of the Platonic tradition was pervasive, few if any Western medieval philosophers identified themselves as Platonists. In the Renaissance, by contrast, Western thinkers had access to the complete corpus of Plato’s works as well as to the works of Plotinus and many late ancient Platonists; there was also a small but influential group of thinkers who identified themselves as Christian Platonists. In the fifteenth century, the most important of these were to be found in the circles of Cardinal Bessarion (1403–72) in Rome and of Marsilio Ficino (1433–99) in Florence. Platonic themes were also central to the philosophies of Nicholas of Cusa (1401–64) and Giovanni Pico della Mirandola (1463–94), the two most powerful and original thinkers of the Quattrocento. While the dominant interpretation of the Platonic dialogues throughout the Renaissance remained Neoplatonic, there was also a minority tradition that revived the sceptical interpretation of the dialogues that had been characteristic of the early Hellenistic Academy. In the sixteenth century Platonism became a kind of ‘countercultural’ phenomenon, and Plato came to be an important authority for scientists and cosmologists who wished to challenge the Aristotelian mainstream: men like Copernicus, Giordano Bruno, Francesco Patrizi and Galileo. Nevertheless, the Platonic dialogues were rarely taught in the humanistic schools of fifteenth-century Italy. Plato was first established as an important school author in the sixteenth century, first at the University of Paris and later in German universities. In Italy chairs of Platonic philosophy began to be established for the first time in the 1570s. Though the hegemony of Aristotelianism was in the end broken by the new philosophy of the seventeenth century, Plato’s authority did much to loosen the grip of Aristotle on the teaching of natural philosophy in the universities of late Renaissance Europe.


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