An Infinite History

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An Infinite History

Author : Emma Rothschild
ISBN : 9780691208176
Genre : History
File Size : 25.99 MB
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An innovative history of deep social and economic changes in France, told through the story of a single extended family across five generations Marie Aymard was an illiterate widow who lived in the provincial town of Angoulême in southwestern France, a place where seemingly nothing ever happened. Yet, in 1764, she made her fleeting mark on the historical record through two documents: a power of attorney in connection with the property of her late husband, a carpenter on the island of Grenada, and a prenuptial contract for her daughter, signed by eighty-three people in Angoulême. Who was Marie Aymard? Who were all these people? And why were they together on a dark afternoon in December 1764? Beginning with these questions, An Infinite History offers a panoramic look at an extended family over five generations. Through ninety-eight connected stories about inquisitive, sociable individuals, ending with Marie Aymard’s great-great granddaughter in 1906, Emma Rothschild unfurls an innovative modern history of social and family networks, emigration, immobility, the French Revolution, and the transformation of nineteenth-century economic life. Rothschild spins a vast narrative resembling a period novel, one that looks at a large, obscure family, of whom almost no private letters survive, whose members traveled to Syria, Mexico, and Tahiti, and whose destinies were profoundly unequal, from a seamstress living in poverty in Paris to her third cousin, the cardinal of Algiers. Rothschild not only draws on discoveries in local archives but also uses new technologies, including the visualization of social networks, large-scale searches, and groundbreaking methods of genealogical research. An Infinite History demonstrates how the ordinary lives of one family over three centuries can constitute a remarkable record of deep social and economic changes.
Category: History

Infinite Series In A History Of Analysis

Author : Hans-Heinrich Körle
ISBN : 9783110359831
Genre : Mathematics
File Size : 51.68 MB
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"Higher mathematics" once pointed towards the involvement of infinity. This we label analysis. The ancient Greeks had helped it to a first high point when they mastered the infinite. The book traces the history of analysis along the risky route of serial procedures through antiquity. It took quite long for this type of mathematics to revive in our region. When and where it did, infinite series proved the driving force. Not until a good two millennia had gone by, would analysis head towards Greek rigor again. To follow all that trial, error and final accomplishment, is more than studying history: It provides touching, worthwhile access to advanced calculus. Moreover, some steps beyond convergence show infinite series to naturally fit a wider frame.
Category: Mathematics

To Infinity And Beyond

Author : Eli Maor
ISBN : 0691025118
Genre : Mathematics
File Size : 25.22 MB
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Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the horror infiniti of the Greeks to the works of M. C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity--a fascination mingled with puzzlement. Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M. C. Escher, six of whose works are shown here in beautiful color plates.--Los Angeles Times [Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama.--Choice Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics.--Science -- "Science"
Category: Mathematics

A Critical History Of Western Philosophy

Author : Y. Masih
ISBN : 8120812425
Genre : Philosophy
File Size : 71.65 MB
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This is the enlarged edition of a Critical History of Modern Philosophy. In this new edition Greek and Medieval Philosophies have been added. The book also includes a critical and comparative account of the major contributions of eight modern thinkers. To this exposition the idealism of Hegel and Bradley has been introduced. Recent discussions concerning Hume, Kant, Hegel and Bradley have also been incorporated. Whilst giving fully an analytic account of topics, the author maintains that philosophy is a holistic enterprise of man, as we find it in Spinoza, Kant, Hegel and Bradley.The book has turned out to be a reliable and useful to the students of the subject throughout India. This thoroughly revised and enlarged edition will prove to be all the more serviceable in general.
Category: Philosophy

Mathematics A Concise History And Philosophy

Author : W.S. Anglin
ISBN : 0387942807
Genre : Mathematics
File Size : 74.78 MB
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This concise introduction explores the key mathematical and philosophical aspects of the history of mathematics. Detailed explanations of mathematical procedures used by famous mathematicians give readers a greater opportunity to learn the history and philosophy through problem solving. 23 illustrations.
Category: Mathematics

Making Up Numbers A History Of Invention In Mathematics

Author : Ekkehard Kopp
ISBN : 9781800640979
Genre : Mathematics
File Size : 59.92 MB
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Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Category: Mathematics

History As A Science The Philosophy Of R G Collingwood

Author : Jan van der Dussen
ISBN : 9024724538
Genre : Science
File Size : 78.8 MB
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1. 1. COLLINGWOOD'S RECEPTION Collingwood's scholarly reputation is a complicated and variegated affair. For one has not only to make a' distinction between his reputation during his life and after his premature death in 1943, but also between his reputation as a philosopher and as an archaeologist and historian. Collingwood himself considered philosophy as his primary occupation and his work in archaeology and history as that of an amateur. This work, however, reached the highest standards and his contributions to archaeology and history have always been appreciated accordingly. Though Collingwood's reputation as the main expert on Roman Britain in the period between the two wars remains unchallenged, modern developments in this field have inevitably superseded his contributions and made them primarily voices from a past period. Philosophy was the other half of Collingwood's scholarly life. In his own thinking there was always a close relationship between philosophy and archaeological and histor ical practice. His interpreters have not always recognized this connection. I have met archaeologists who were surprised to hear that Collingwood was a philosopher as well, who either did not know that he had been a practising and philosophers archaeologist and historian, or thought it no more than a private hobby. Collingwood's reputation as a philosopher was very different from the one he gained in archaeology and history. For in the philosophical climate at Oxford between the wars he was always an isolated figure.
Category: Science

A History Of Philosophy

Author : Johann Eduard Erdmann
ISBN : UCAL:B4980948
Genre : Philosophy
File Size : 32.79 MB
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Category: Philosophy

Descending On Humanity And Intervening In History

Author : P. T. Forsyth
ISBN : 9781630870195
Genre : Religion
File Size : 48.69 MB
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This collection of forty-eight sermons, most of which have not been previously published, discloses the integration of vocation and imagination in the work of one of the greatest of Free Church theologians, P. T. Forsyth. At a time of fragmentation, when theological study has become too much removed from the task of the preacher, Forsyth's work can remind us of the invigorating power of Christian doctrine interpreted and expounded in situations of pastoral and political exigency. Its capacity for the renewal of the church is evident again from this rich and timely anthology, compiled and introduced by Jason Goroncy.
Category: Religion

Outlines Of The History Of Dogma

Author : Adolf von Harnack
ISBN : UCAL:B3953772
Genre : Theology, Doctrinal
File Size : 68.38 MB
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"The English translation of my "Grundriss der Dogmengeschichte" has been made, in accordance with my expressed wish, by my former pupil and esteemed friend, Mr. Edwin Knox Mitchell. It is my pleasant duty to express to him my heartiest thanks. English and American theological literature, possess excellent works, but they are not rich in products within the realm of the History of Dogma. I may therefore perhaps hope that my "Grundriss" will supply a want. I shall be most happy, if I can with this book do my English and American friends and fellow-workers some service - a small return for the rich benefit which I have reaped from their labors. In reality, however, there no longer exists any distinction between German and English theological science. The exchange is now so brisk that scientific theologians of all evangelical lands form already one Concilium. Adolf Harnack. Wilmerdorf near Berlin, March 17th, 1892"--
Category: Theology, Doctrinal

Mathematics And Logic In History And In Contemporary Thought

Author : Ettore Carruccio
ISBN : 0202367304
Genre : Philosophy
File Size : 72.14 MB
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This book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed on the philosophic and logical systems, from Aristotle onward, that provide the basis for the fusion of mathematics and logic in contemporary thought. Ettore Carruccio covers the evolution of mathematics from the most ancient times to our own day. In simple and non-technical language, he observes the changes that have taken place in the conception of rational theory, until we reach the lively, delicate and often disconcerting problems of modern logical analysis. The book contains an unusual wealth of detail (including specimen demonstrations) on such subjects as the critique of Euclid's fifth postulate, the rise of non-Euclidean geometry, the introduction of theories of infinite sets, the construction of abstract geometry, and-in a notably intelligible discussion-the development of modern symbolic logic and meta-mathematics. Scientific problems in general and mathematical problems in particular show their full meaning only when they are considered in the light of their own history. This book accordingly takes the reader to the heart of mathematical questions, in a way that teacher, student and layman alike will find absorbing and illuminating. The history of mathematics is a field that continues to fascinate people interested in the course of creativity, and logical inference quite part and in addition to those with direct mathematical interests. Ettore Carruccio, who until his retirement was professor of philosophy at the University of Turin. He has made many contributions to mathematical and logical theory as well as to the history of the science. Isabel Quigly was the literary editor of The Tablet for many years.
Category: Philosophy

Collected Papers On Epistemology Philosophy Of Science And History Of Philosophy

Author : W. Stegmüller
ISBN : 9789401011327
Genre : Philosophy
File Size : 84.12 MB
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These two volumes contain all of my articles published between 1956 and 1975 which might be of interest to readers in the English-speaking world. The first three essays in Vol. 1 deal with historical themes. In each case I have attempted a rational reconstruction which, as far as possible, meets con temporary standards of exactness. In The Problem of Universals Then and Now some ideas of W.V. Quine and N. Goodman are used to create a modem sketch of the history of the debate on universals beginning with Plato and ending with Hao Wang's System :E. The second article concerns Kant's Philosophy of Science. By analyzing his position vis-a-vis I. Newton, Christian Wolff, and D. Hume, it is shown that for Kant the very notion of empirical knowledge was beset with a funda mental logical difficulty. In his metaphysics of experience Kant offered a solution differing from all prior as well as subsequent attempts aimed at the problem of establishing a scientific theory. The last of the three historical papers utilizes some concepts of modem logic to give a precise account of Wittgenstein's so-called Picture Theory of Meaning. E. Stenius' interpretation of this theory is taken as an intuitive starting point while an intensional variant of Tarski's concept of a relational system furnishes a technical instrument. The concepts of model world and of logical space, together with those of homomorphism and isomorphism be tween model worlds and between logical spaces, form the conceptual basis of the reconstruction.
Category: Philosophy