Sets And Extensions In The Twentieth Century
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| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 878 |
| Release | : 2012-01-24 |
| Genre | : Mathematics |
| ISBN | : 0080930662 |
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration - Serves as a singular contribution to the intellectual history of the 20th century - Contains the latest scholarly discoveries and interpretative insights
| Author | : Charles Parsons |
| Publisher | : Harvard University Press |
| Total Pages | : 365 |
| Release | : 2014-03-10 |
| Genre | : Philosophy |
| ISBN | : 0674419499 |
In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.
| Author | : Lynne Warren |
| Publisher | : Routledge |
| Total Pages | : 1849 |
| Release | : 2005-11-15 |
| Genre | : Photography |
| ISBN | : 1135205434 |
The Encyclopedia of Twentieth-Century Photography explores the vast international scope of twentieth-century photography and explains that history with a wide-ranging, interdisciplinary manner. This unique approach covers the aesthetic history of photography as an evolving art and documentary form, while also recognizing it as a developing technology and cultural force. This Encyclopedia presents the important developments, movements, photographers, photographic institutions, and theoretical aspects of the field along with information about equipment, techniques, and practical applications of photography. To bring this history alive for the reader, the set is illustrated in black and white throughout, and each volume contains a color plate section. A useful glossary of terms is also included.
| Author | : Gerald E. Sacks |
| Publisher | : World Scientific |
| Total Pages | : 712 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9789812564894 |
This invaluable book is a collection of 31 important both inideas and results papers published by mathematical logicians inthe 20th Century. The papers have been selected by Professor Gerald ESacks. Some of the authors are Gdel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.
| Author | : David Ballard |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 146 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 0821802933 |
A philosophically provocative treatment for general mathematicians. Reformulates the model theory underlying "non" standard mathematics within point set topology and presents new proofs for the various versions. The radical aspect is the introduction of relativity into the mathematical environment. Annotation copyright by Book News, Inc., Portland, OR
| Author | : Zach Weber |
| Publisher | : Cambridge University Press |
| Total Pages | : 339 |
| Release | : 2021-10-21 |
| Genre | : Mathematics |
| ISBN | : 1108999026 |
Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary.
| Author | : Jaekwon Kim |
| Publisher | : John Wiley & Sons |
| Total Pages | : 680 |
| Release | : 2009-04-13 |
| Genre | : Philosophy |
| ISBN | : 1405152982 |
Fully extended and revised, A Companion to Metaphysics 2nd Edition includes a section of detailed review essays from renowned metaphysicians, and the addition of more than 30 new encyclopedic entries, taking the number of entries to over 300. Includes revisions to existing encyclopedic entries Features more than 30 all-new "A to Z" entries Offers a section of in-depth, essays from renowned metaphysicians Provides the most complete and up-to-date reference guide for students and professionals alike
| Author | : Edward Craig |
| Publisher | : |
| Total Pages | : 890 |
| Release | : 1998 |
| Genre | : Philosophy |
| ISBN | : 9780415187107 |
Volume five of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.
| Author | : Ben-Ami Scharfstein |
| Publisher | : SUNY Press |
| Total Pages | : 316 |
| Release | : 1993-01-01 |
| Genre | : Philosophy |
| ISBN | : 9780791413470 |
Scharfstein describes the extraordinary powers that have been attributed to language everywhere, and then looks at ineffability as it has appeared in the thought of the great philosophical cultures: India, China, Japan, and the West. He argues that there is something of our prosaic, everyday difficulty with words in the ineffable reality of the philosophers and theologians, just as there is something unformulable, and finally mysterious in the prosaic, everyday successes and failures of words.
| Author | : Marie-Jeanne Lesot |
| Publisher | : Springer Nature |
| Total Pages | : 305 |
| Release | : 2020-10-26 |
| Genre | : Technology & Engineering |
| ISBN | : 3030543412 |
This book gathers cutting-edge papers in the area of Computational Intelligence, presented by specialists, and covering all major trends in the research community in order to provide readers with a rich primer. It presents an overview of various soft computing topics and approximate reasoning-based approaches, both from theoretical and applied perspectives. Numerous topics are covered: fundamentals aspects of fuzzy sets theory, reasoning approaches (interpolative, analogical, similarity-based), decision and optimization theory, fuzzy databases, soft machine learning, summarization, interpretability and XAI. Moreover, several application-based papers are included, e.g. on image processing, semantic web and intelligent tutoring systems. This book is dedicated to Bernadette Bouchon-Meunier in honor of her achievements in Computational Intelligence, which, throughout her career, have included profuse and diverse collaborations, both thematically and geographically.
