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One Hundred Years of Russell ́s Paradox

2008-08-22 Mathematics
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Release : 2008-08-22
Genre : Mathematics
Kind : eBook
Book Rating : 688/5 ( reviews)

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Book Synopsis One Hundred Years of Russell ́s Paradox by : Godehard Link

Download or read book One Hundred Years of Russell ́s Paradox written by Godehard Link. This book was released on 2008-08-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Principia Mathematica

1910 Logic, Symbolic and mathematical
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Release : 1910
Genre : Logic, Symbolic and mathematical
Kind : eBook
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Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead. This book was released on 1910. Available in PDF, EPUB and Kindle. Book excerpt:

The Outer Limits of Reason

2016-11-04 Science
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Release : 2016-11-04
Genre : Science
Kind : eBook
Book Rating : 84X/5 ( reviews)

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Book Synopsis The Outer Limits of Reason by : Noson S. Yanofsky

Download or read book The Outer Limits of Reason written by Noson S. Yanofsky. This book was released on 2016-11-04. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves. “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known. Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve: • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

Exploring Theological Paradoxes

2022-08-31 Religion
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Release : 2022-08-31
Genre : Religion
Kind : eBook
Book Rating : 388/5 ( reviews)

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Book Synopsis Exploring Theological Paradoxes by : Cyril Orji

Download or read book Exploring Theological Paradoxes written by Cyril Orji. This book was released on 2022-08-31. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the question of theological paradox, exploring what it means and its place in theological method from a Christian perspective. Just as paradoxes are unavoidable in logic and mathematics, paradoxes are inevitable in religious and theological discourses. The chapters in this volume examine a number of cases, including the ‘Red Heifer paradox’, the ‘liar paradox’, and the ‘paradox of omnipotence’, and attention is given to Christian doctrines such as the Trinity and the Incarnation. Arguing for a renewed understanding and appreciation of the role of paradox, this study will be of interest to scholars of theology and the philosophy of religion.

Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’

2013-03-09 Philosophy
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Release : 2013-03-09
Genre : Philosophy
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Book Rating : 022/5 ( reviews)

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Book Synopsis Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’ by : GARCIADIEGO

Download or read book Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes’ written by GARCIADIEGO. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: Xll Russell's published works include more than sixty books, several unpublished manuscripts, many hundreds of articles, dozens of radio and TV interviews and films, covering a wide spectrum of knowledge. His writings embrace discussions and analysis of such diverse topics as social sciences, foundations of mathematics, philosophy of physics, philosophy in general, religion, moral sciences, education, pacifism, natural sciences (including biology and physics), linguistics, statistics, probability, eco nomic theory, history, politics, international affairs and other topics. He corresponded with a large and diverse group of colleagues including both prominent and obscure figures in politics, the arts, humanities and scienc es. Russell's communication with his colleagues began in the late nine teenth century and was especially active through much of the twentieth century. In spite of being one of the most controversial public personali ties of his day (let us not forget that he went to prison twice, was dis missed from Cambridge University and was prevented from teaching at the College of the City of New York), his merits have been recognized and appreciated. He was awarded many medals, diplomas and honors, including the Nobel Prize for Literature in 1950.

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