The Origin of Mathematics—A First Lesson in Secondary Mathematics

1922 ◽  
Vol 15 (5) ◽  
pp. 283-293
Author(s):  
William Betz

The nineteenth century was characterized by an unparalleled activity in the realm of science. When Darwin and his followers succeeded in popularizing the doctrine of evolution. an amazing impetus was given to research in almost every field of human thought and endeavor. It soon became natural to go back to first principles, to study the growth and development of all existing things, to look for causes, motives, connections, controlling forces. New sciences sprang up over night. Innumerable questions were addressed to nature by carefully arranged experiments. The bulk of scientific knowledge increased immensely. And, as if by magic, even the past gave up many of its long concealed secrets. The geologic record of the rocks became legible. It revealed upheavals extending through aeons of time. The incredibly slow unfolding of life on this globe became established by countless fossilized remains.

Prospects ◽  
1997 ◽  
Vol 22 ◽  
pp. 239-262
Author(s):  
Scott MacDonald

One of the primary reasons I became interested in film studies was the seeming open-endedness of the field. Cinema was new, I reasoned, and would continue to be new, unlike other academic fields, and particularly those devoted to historical periods: as a scholar and a teacher, I would face the future, endlessly enthralled and energized by the transformation of the potential into the actual. That my development as a film scholar/teacher increasingly involved me in avant-garde film seemed quite natural — a logical extension of the attraction of film studies in general: Avant-garde film was the newest of the new, the sharpest edge of the present as it sliced into the promise of the future. Scholars in some fields may empathize with the attitude I describe, but scholars in all fields will smile at its self-defeating implications: of course, I can see now how typically American my assumptions were — as if one could maintain the excitement of youth merely by refusing to acknowledge the past! Obviously, film studies, like any other discipline, is only a field once its history takes, or is given, a recognizable shape.


1932 ◽  
Vol 1 (1) ◽  
pp. 3-13
Author(s):  
Abdel Ross Wentz

About the fourth decade of the nineteenth century, a change came over the general spirit of American society. Historians have often noted the fact and they have described it and explained it in various ways. It was a time of storm and stress, a period of controversy and conflict and finally war. There was scarcely a single phase of life that was not infected. As if by some preconcerted signal the souls of men in most diverse groups and relationships suddenly became sensitive and combative. The result was one of those swift ruptures with the past that leave abiding scars in the body of society.


Author(s):  
Michael Anderson ◽  
Corinne Roughley

Scotland’s population history since the middle of the nineteenth century has too often been written either at a national level or as if what happened in a particular area was unique. There has been too much focus on losses, failings, or crises, and too little on successes and improvements in people’s experiences of life. There were multiple demographic Scotlands, linked to the diversity of the country’s economy, geography, and cultures, and many successes as well as failures. The book sets Scottish demography in a wider British and Western European framework and shows how patterns and trends from the past influence the present and the future demography of the country. Scotland’s outstandingly detailed published reports, many hitherto hardly used, are briefly described


1873 ◽  
Vol 10 (114) ◽  
pp. 529-551
Author(s):  
Henry Woodward

Time with slow and measured tread moving over the buried records of the past—Time, upon whose ample store the geologist is wont to draw with an unsparing hand, seems to have accelerated his pace in this nineteenth century, and hurries onward as if his few remaining sands were well-nigh run.


1992 ◽  
Vol 51 (4) ◽  
pp. 797-823 ◽  
Author(s):  
Katherine A. Bowie

For decades, scholarship on the Thai peasantry has proceeded as if the history of the peasantry were known. Scholars have luxuriated in tourist-brochure images of primeval abundance, reiterating unchallenged the famous adage from the thirteenth-century stele of King Ramkhamhaeng, “There is fish in the water and rice in the fields.” Little hyperbole exists in Thadeus Flood's statement, “For the past century much Western imperialist scholarship and Thai royalist scholarship has sought to perpetuate the image of benign Thai royalty ruling over a happy, carefree, and subservient populace dwelling in a land of sunshine and smiles” (1975:55). For observers of modern Thai society, demonstrations by discontented peasants and assassinations of their leaders have destroyed the myth of a rustic paradise. Nonetheless, the theme of self-sufficiency continues to dominate the literature on Thai history.


Author(s):  
James J. Coleman

At a time when the Union between Scotland and England is once again under the spotlight, Remembering the Past in Nineteenth-Century Scotland examines the way in which Scotland’s national heroes were once remembered as champions of both Scottish and British patriotism. Whereas 19th-century Scotland is popularly depicted as a mire of sentimental Jacobitism and kow-towing unionism, this book shows how Scotland’s national heroes were once the embodiment of a consistent, expressive and robust view of Scottish nationality. Whether celebrating the legacy of William Wallace and Robert Bruce, the reformer John Knox, the Covenanters, 19th-century Scots rooted their national heroes in a Presbyterian and unionist view of Scotland’s past. Examined through the prism of commemoration, this book uncovers collective memories of Scotland’s past entirely opposed to 21st-century assumptions of medieval proto-nationalism and Calvinist misery. Detailed studies of 19th-century commemoration of Scotland’s national heroes Uncovers an all but forgotten interpretation of these ‘great Scots’ Shines a new light on the mindset of nineteenth-century Scottish national identity as being comfortably Scottish and British Overturns the prevailing view of Victorian Scottishness as parochial, sentimental tartanry


Author(s):  
Nurit Yaari

This chapter examines the lack of continuous tradition of the art of the theatre in the history of Jewish culture. Theatre as art and institution was forbidden for Jews during most of their history, and although there were plays written in different times and places during the past centuries, no tradition of theatre evolved in Jewish culture until the middle of the nineteenth century. In view of this absence, the author discusses the genesis of Jewish theatre in Eastern Europe and in Eretz-Yisrael (The Land of Israel) since the late nineteenth century, encouraged by the Jewish Enlightenment movement, the emergence of Jewish nationalism, and the rebirth of Hebrew as a language of everyday life. Finally, the chapter traces the development of parallel strands of theatre that preceded the Israeli theatre and shadowed the emergence of the political infrastructure of the future State of Israel.


Author(s):  
Roger Ekirch

Although a universal necessity, sleep, as the past powerfully indicates, is not a biological constant. Before the Industrial Revolution, sleep in western households differed in a variety of respects from that of today. Arising chiefly from a dearth of artificial illumination, the predominant form of sleep was segmented, consisting of two intervals of roughly 3 hours apiece bridged by up to an hour or so of wakefulness. Notwithstanding steps taken by families to preserve the tranquillity of their slumber, the quality of pre-industrial sleep was poor, owing to illness, anxiety, and environmental vexations. Large portions of the labouring population almost certainly suffered from sleep deprivation. Despite the prevalence of sleep-onset insomnia, awakening in the middle of the night was thought normal. Not until the turn of the nineteenth century and sleep’s consolidation did physicians view segmented sleep as a disorder requiring medication.


This volume combines philosophical analysis with normative legal theory. Although both disciplines have spent the past fifty years investigating the nature of the principles of necessity and proportionality, these discussions were all too often walled off from each other. However, the boundaries of these disciplinary conversations have recently broken down, and this volume continues the cross-disciplinary effort by bringing together philosophers concerned with the real-world military implications of their theories and legal scholars who frequently build doctrinal arguments from first principles, many of which herald from the historical just war tradition or from the contemporary just war literature. What unites the chapters into a singular conversation is their common skepticism regarding whether the traditional doctrines, in both law and philosophy, have correctly valued the lives of civilians and combatants at war. The arguments outlined in this volume reveal a set of principles, including necessity and proportionality, whose core essence remains essentially contested. What does military necessity mean and are soldiers always subject to lethal force? What is proportionality and how should military commanders attach a value to a military target and weigh it against collateral damage? Do these valuations remain the same for both sides of the conflict? From the secure viewpoint of the purely descriptive, lawyers might confidently describe some of these questions as settled. But many others, even from the vantage point of descriptive theory, remain under-analyzed and radically lacking in clarity and certainty.


Author(s):  
C. Michael Shea

For the past several decades, scholars have stressed that the genius of John Henry Newman remained underappreciated among his Roman Catholic contemporaries, and in order to find the true impact of his work, one must look to the century after his death. This book takes direct aim at that assumption. Examining a host of overlooked evidence from England and the European continent, Newman’s Early Legacy tracks letters, recorded conversations, and obscure and unpublished theological exchanges to show how Newman’s 1845 Essay on the Development of Christian Doctrine influenced a cadre of Catholic teachers, writers, and Church authorities in nineteenth-century Rome. The book explores how these individuals then employed Newman’s theory of development to argue for the definability of the new dogma of the Immaculate Conception of Mary during the years preceding the doctrine’s promulgation in 1854. Through numerous twists and turns, the narrative traces how the theory of development became a factor in determining the very language that the Roman Catholic Church would use in referring to doctrinal change over time. In this way, Newman’s Early Legacy uncovers a key dimension of Newman’s significance in modern religious history.


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