Set Theory An Operational Approach

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Set Theory An Operational Approach

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Author : Luis E. Sanchis
language : en
Publisher: Routledge
Release Date : 2022-03-24

Set Theory An Operational Approach written by Luis E. Sanchis and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-24 with Mathematics categories.

This volume presents a novel approach to set theory that is entirely operational. This approach avoids the existential axioms associated with traditional Zermelo-Fraenkel set theory, and provides both a foundation for set theory and a practical approach to learning the subject. It is written at the professional/graduate student level, and will be of interest to mathematical logicians, philosophers of mathematics and students of theoretical computer science.

Set Theory An Operational Approach

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Author : LE Sanchis
language : en
Publisher: CRC Press
Release Date : 1997-03-18

Set Theory An Operational Approach written by LE Sanchis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03-18 with Mathematics categories.

Presents a novel approach to set theory that is entirely operational. This approach avoids the existential axioms associated with traditional Zermelo-Fraenkel set theory, and provides both a foundation for set theory and a practical approach to learning the subject.

A Book Of Set Theory

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Author : Charles C Pinter
language : en
Publisher: Courier Corporation
Release Date : 2014-07-23

A Book Of Set Theory written by Charles C Pinter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-23 with Mathematics categories.

"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--

Feferman On Foundations

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Author : Gerhard Jäger
language : en
Publisher: Springer
Release Date : 2018-04-04

Feferman On Foundations written by Gerhard Jäger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-04 with Mathematics categories.

This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.

Set Theory For Physicists

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Author : Nicolas a Pereyra
language : en
Publisher: Morgan & Claypool
Release Date : 2019-05-10

Set Theory For Physicists written by Nicolas a Pereyra and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-10 with Science categories.

This book provides a rigorous, physics-focused introduction to set theory that is geared towards natural science majors. The science major is presented with a robust introduction to set theory, which concentrates on the specific knowledge and skills that will be needed for calculus and natural science topics in general.

Set Theory For The Working Mathematician

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Author : Krzysztof Ciesielski
language : en
Publisher: Cambridge University Press
Release Date : 1997-08-28

Set Theory For The Working Mathematician written by Krzysztof Ciesielski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-28 with Mathematics categories.

Presents those methods of modern set theory most applicable to other areas of pure mathematics.

Cybernetics And Systems 90 Proceedings Of The Tenth European Meeting On Cybernetics And Systems Research

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Author : Robert Trappl
language : en
Publisher: World Scientific
Release Date : 1990-03-01

Cybernetics And Systems 90 Proceedings Of The Tenth European Meeting On Cybernetics And Systems Research written by Robert Trappl and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03-01 with categories.

Contents:How Many "Demons" Do We Need? Endophysical Self-Creation of Material Structures and the Exophysical Mystery of Universal Libraries (G Kampis & O E Rössler)Some Implications of Re-Interpretation of the Turing Test for Cognitive Science and Artificial Intelligence (G Werner)Why Economic Forecasts will be Overtaken by the Facts (J D M Kruisinga)Simulation Methods in Peace and Conflict Research (F Breitenecker et al)Software Development Paradigms: A Unifying Concept (G Chroust)Hybrid Hierarchies: A Love-Hate Relationship Between ISA and SUPERC (D Castelfranchi & D D'Aloisi)AI for Social Citizenship: Towards an Anthropocentric Technology (K S Gill)Organizational Cybernetics and Large Scale Social Reforms in the Context of Ongoing Developments (E Bekjarov & A Athanassov)China's Economic Reform and its Obstacles: Challenges to a Large-Scale Social Experiment (J Hu & X Sun)Comparing Conceptual Systems: A Strategy for Changing Values as well as Institutions (S A Umpleby)and others Readership: Researchers in the fields of cybernetics and systems, artificial intelligence, economics and mathematicians.

Computing With Words In Information Intelligent Systems 1

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Author : Lotfi A. Zadeh
language : en
Publisher: Physica
Release Date : 2013-03-09

Computing With Words In Information Intelligent Systems 1 written by Lotfi A. Zadeh and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Computers categories.

These two volumes consIstmg of Foundations and Applications provide the current status of theoretical and empirical developments in "computing with words". In philosophy, the twentieth century is said to be the century of language. This is mainly due to Wittgenstein who said: "The meaning of a word is its use in the language game". "The concept game is a concept with blurred edges". In the first phrase, "the language game" implies the everyday human activity with language, and in the latter, "game" simply implies an ordinary word. Thus, Wittgenstein precisely stated that a word is fuzzy in real life. Unfortunately this idea about a word was not accepted in the conventional science. We had to wait for Zadeh's fuzzy sets theory. Remembering Wittgenstein's statement, we should consider, on the one hand, the concept of "computing with words" from a philosophical point of view. It deeply relates to the everyday use of a word in which the meaning of a word is fuzzy in its nature.

Rough Computing Theories Technologies And Applications

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Author : Hassanien, Aboul Ella
language : en
Publisher: IGI Global
Release Date : 2007-08-31

Rough Computing Theories Technologies And Applications written by Hassanien, Aboul Ella and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-31 with Business & Economics categories.

Covers key rough computing research, surveying a full range of topics and examining defining issues of the field.

Information Modelling And Knowledge Bases Xi

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Author : Eiji Kawaguchi
language : en
Publisher: IOS Press
Release Date : 2000

Information Modelling And Knowledge Bases Xi written by Eiji Kawaguchi and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.

This is the tenth volume in a series on information modelling and knowledge bases. The topics of the articles cover a wide variety of themes in the domain of information modelling, design and specification of information systems and knowledge bases, ranging from foundations and theories to systems construction and application studies. The contributions in this volume represent the following major themes: models in intelligent activity; concept modelling and conceptual modelling; conceptual modelling and information requirements specification; collections of concepts, knowledge base design, and database design; human-computer interaction and modelling; software engineering and modelling; and applications.