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Sets and Extensions in the Twentieth Century

Sets and Extensions in the Twentieth Century PDF Author:
Publisher: Elsevier
ISBN: 0080930662
Category : Mathematics
Languages : en
Pages : 878

Book Description
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

Sets and Extensions in the Twentieth Century

Sets and Extensions in the Twentieth Century PDF Author:
Publisher: Elsevier
ISBN: 0080930662
Category : Mathematics
Languages : en
Pages : 878

Book Description
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

Philosophy of Mathematics in the Twentieth Century

Philosophy of Mathematics in the Twentieth Century PDF Author: Charles Parsons
Publisher: Harvard University Press
ISBN: 0674419499
Category : Philosophy
Languages : en
Pages : 365

Book Description
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.

Encyclopedia of Twentieth-Century Photography, 3-Volume Set

Encyclopedia of Twentieth-Century Photography, 3-Volume Set PDF Author: Lynne Warren
Publisher: Routledge
ISBN: 1135205434
Category : Photography
Languages : en
Pages : 1849

Book Description
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.

Foundational Aspects of "non"standard Mathematics

Foundational Aspects of Author: David Ballard
Publisher: American Mathematical Soc.
ISBN: 0821802933
Category : Mathematics
Languages : en
Pages : 146

Book Description
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

Paradoxes and Inconsistent Mathematics

Paradoxes and Inconsistent Mathematics PDF Author: Zach Weber
Publisher: Cambridge University Press
ISBN: 1108999026
Category : Mathematics
Languages : en
Pages : 339

Book Description
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.

Mathematical Logic in the 20th Century

Mathematical Logic in the 20th Century PDF Author: Gerald E. Sacks
Publisher: World Scientific
ISBN: 9789812564894
Category : Mathematics
Languages : en
Pages : 712

Book Description
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.

A Companion to Metaphysics

A Companion to Metaphysics PDF Author: Jaekwon Kim
Publisher: John Wiley & Sons
ISBN: 1405152982
Category : Philosophy
Languages : en
Pages : 680

Book Description
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

Routledge Encyclopedia of Philosophy

Routledge Encyclopedia of Philosophy PDF Author: Edward Craig
Publisher:
ISBN: 9780415187107
Category : Philosophy
Languages : en
Pages : 890

Book Description
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.

Ineffability

Ineffability PDF Author: Ben-Ami Scharfstein
Publisher: SUNY Press
ISBN: 9780791413470
Category : Philosophy
Languages : en
Pages : 316

Book Description
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.

Fuzzy Approaches for Soft Computing and Approximate Reasoning: Theories and Applications

Fuzzy Approaches for Soft Computing and Approximate Reasoning: Theories and Applications PDF Author: Marie-Jeanne Lesot
Publisher: Springer Nature
ISBN: 3030543412
Category : Technology & Engineering
Languages : en
Pages : 305

Book Description
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.