Author: Godehard Link
Publisher: Walter de Gruyter
ISBN: 3110174383
Category : Mathematics
Languages : en
Pages : 672
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Book Description
The papers collected in this volume represent the main body of research arising from the International Munich Centenary Conference in 2001, which commemorated the discovery of the famous Russell Paradox a hundred years ago. The 31 contributions and the introductory essay by the editor were (with two exceptions) all originally written for the volume. The volume serves a twofold purpose, historical and systematic. One focus is on Bertrand Russell's logic and logical philosophy, taking into account the rich sources of the Russell Archives, many of which have become available only recently. The second equally important aim is to present original research in the broad range of foundational studies that draws on both current conceptions and recent technical advances in the above-mentioned fields. The volume contributes therefore, to the well-established body of mathematical philosophy initiated to a large extent by Russell's work.
Author: Godehard Link
Publisher: Walter de Gruyter
ISBN: 3110199688
Category : Mathematics
Languages : en
Pages : 673
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Book Description
The papers collected in this volume represent the main body of research arising from the International Munich Centenary Conference in 2001, which commemorated the discovery of the famous Russell Paradox a hundred years ago. The 31 contributions and the introductory essay by the editor were (with two exceptions) all originally written for the volume. The volume serves a twofold purpose, historical and systematic. One focus is on Bertrand Russell's logic and logical philosophy, taking into account the rich sources of the Russell Archives, many of which have become available only recently. The second equally important aim is to present original research in the broad range of foundational studies that draws on both current conceptions and recent technical advances in the above-mentioned fields. The volume contributes therefore, to the well-established body of mathematical philosophy initiated to a large extent by Russell's work.
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 696
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Book Description
Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
ISBN: 0393327604
Category : Biography & Autobiography
Languages : en
Pages : 299
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Book Description
"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.
Author: Chi Tat Chong
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311038129X
Category : Mathematics
Languages : en
Pages : 409
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Book Description
This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.
Author: Graham Stevens
Publisher: Psychology Press
ISBN: 9780415360449
Category : Philosophy
Languages : en
Pages : 185
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Book Description
"This book explores in detail the repercussions for his philosophical logic of Russell's discovery of the contradiction in 1901. From close study of Russell's development of the theory of types, including the recently rediscovered work on his substitutional theory in unpublished manuscripts, an interpretation of Russell's philosophical logic emerges which provides new and important insights into his philosophy as a whole, and places the problem of the unity of the proposition at its heart from start to finish."--BOOK JACKET.
Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 0486136876
Category : Mathematics
Languages : en
Pages : 290
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Book Description
Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
Author: Richard G. Heck
Publisher: Oxford University Press, USA
ISBN: 0199233705
Category : Mathematics
Languages : en
Pages : 315
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Book Description
Readership: Scholars and advanced students of philosophy of logic, philosophy of mathematics, and history of analytic philosophy
Author: Thomas Drucker
Publisher: Springer Science & Business Media
ISBN: 0817647694
Category : Mathematics
Languages : en
Pages : 218
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Book Description
This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.
Author: Michael B. Katz
Publisher: Russell Sage Foundation
ISBN: 1610443314
Category : Social Science
Languages : en
Pages : 369
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Book Description
American society today is hardly recognizable from what it was a century ago. Integrated schools, an information economy, and independently successful women are just a few of the remarkable changes that have occurred over just a few generations. Still, the country today is influenced by many of the same factors that revolutionized life in the late nineteenth century—immigration, globalization, technology, and shifting social norms—and is plagued by many of the same problems—economic, social, and racial inequality. One Nation Divisible, a sweeping history of twentieth-century American life by Michael B. Katz and Mark J. Stern, weaves together information from the latest census with a century's worth of data to show how trends in American life have changed while inequality and diversity have endured. One Nation Divisible examines all aspects of work, family, and social life to paint a broad picture of the American experience over the long arc of the twentieth century. Katz and Stern track the transformations of the U.S. workforce, from the farm to the factory to the office tower. Technological advances at the beginning and end of the twentieth century altered the demand for work, causing large population movements between regions. These labor market shifts fed both the explosive growth of cities at the dawn of the industrial age and the sprawling suburbanization of today. One Nation Divisible also discusses how the norms of growing up and growing old have shifted. Whereas the typical life course once involved early marriage and living with large, extended families, Americans today commonly take years before marrying or settling on a career path, and often live in non-traditional households. Katz and Stern examine the growing influence of government on trends in American life, showing how new laws have contributed to more diverse neighborhoods and schools, and increased opportunities for minorities, women, and the elderly. One Nation Divisible also explores the abiding economic paradox in American life: while many individuals are able to climb the financial ladder, inequality of income and wealth remains pervasive throughout society. The last hundred years have been marked by incredible transformations in American society. Great advances in civil rights have been tempered significantly by rising economic inequality. One Nation Divisible provides a compelling new analysis of the issues that continue to divide this country and the powerful role of government in both mitigating and exacerbating them. A Volume in the Russell Sage Foundation Census Series
