Models And Sets
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Sets Models And Proofs
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Author : Ieke Moerdijk
language : en
Publisher: Springer
Release Date : 2018-11-23
Sets Models And Proofs written by Ieke Moerdijk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-23 with Mathematics categories.
This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory. Including examples from several areas of mathematics (algebra, linear algebra and analysis), the book illustrates the relevance and usefulness of logic in the study of these subject areas. The authors start with an exposition of set theory and the axiom of choice as used in everyday mathematics. Proceeding at a gentle pace, they go on to present some of the first important results in model theory, followed by a careful exposition of Gentzen-style natural deduction and a detailed proof of Gödel’s completeness theorem for first-order logic. The book then explores the formal axiom system of Zermelo and Fraenkel before concluding with an extensive list of suggestions for further study. The present volume is primarily aimed at mathematics students who are already familiar with basic analysis, algebra and linear algebra. It contains numerous exercises of varying difficulty and can be used for self-study, though it is ideally suited as a text for a one-semester university course in the second or third year.
Categories Of Sets And Models Of Sets Theory
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Author : J. C. Cole
language : da
Publisher:
Release Date : 1971
Categories Of Sets And Models Of Sets Theory written by J. C. Cole and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Models And Sets
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Author : Gert H. Müller
language : en
Publisher:
Release Date :
Models And Sets written by Gert H. Müller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Logic, Symbolic and mathematical categories.
Handbook Of Model Making For Set Designers
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Author : Colin Winslow
language : en
Publisher: Crowood
Release Date : 2015-05-31
Handbook Of Model Making For Set Designers written by Colin Winslow and has been published by Crowood this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-31 with Performing Arts categories.
The Handbook of Model-making for Set Designers describes the entire process of making scale models for stage sets, from the most basic cutting and assembling methods to more advanced skills, including painting, texturing and finishing techniques, and useful hints on presenting the completed model. Many drawings and colour photographs of the writer's own work illustrate the text. Some state-of-the-art computerized techniques are described here for the first time in a book of this kind, including many ways in which digital techniques can be used in combination with the more traditional methods to enhance the model-maker's work. This book will be of use not only to theatre designers, but to anyone with an interest in scale models of any kind. The book covers; tools and materials; painting and texturing; architectural models; people, trees and organic elements; moving parts; furniture and dressings. Superbly illustrated with 200 colour photographs and drawings.
Nonstandard Models Of Arithmetic And Set Theory
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Author : Ali Enayat
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Nonstandard Models Of Arithmetic And Set Theory written by Ali Enayat and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD). The volume opens with an essay from Haim Gaifman that probes the concept of non-standardness in mathematics and provides a fascinating mix of historical and philosophical insights into the nature of nonstandard mathematical structures. In particular, Gaifman compares and contrasts the discovery of nonstandard models with other key mathematical innovations, such as the introduction of various number systems, the modern concept of function, and non-Euclidean geometries. Other articles in the book present results related to nonstandard models in arithmetic and set theory, including a survey of known results on the Turing upper bounds of arithmetic sets and functions. The volume is suitable for graduate students and research mathematicians interested in logic, especially model theory.
Models Of Zf Set Theory
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Author : U. Felgner
language : en
Publisher: Springer
Release Date : 2006-11-15
Models Of Zf Set Theory written by U. Felgner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Models And Sets
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Author : Gert Heinz Müller
language : en
Publisher:
Release Date : 1984
Models And Sets written by Gert Heinz Müller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Model theory categories.
Set Theoretical Logic The Algebra Of Models
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Author : W Felscher
language : en
Publisher: CRC Press
Release Date : 2000-05-30
Set Theoretical Logic The Algebra Of Models written by W Felscher and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-30 with Mathematics categories.
This is an introduction to mathematical logic in which all the usual topics are presented: compactness and axiomatizability of semantical consequence, Löwenheim-Skolem-Tarski theorems, prenex and other normal forms, and characterizations of elementary classes with the help of ultraproducts. Logic is based exclusively on semantics: truth and satisfiability of formulas in structures are the basic notions. The methods are algebraic in the sense that notions such as homomorphisms and congruence relations are applied throughout in order to gain new insights. These concepts are developed and can be viewed as a first course on universal algebra. The approach to algorithms generating semantical consequences is algebraic as well: for equations in algebras, for propositional formulas, for open formulas of predicate logic, and for the formulas of quantifier logic. The structural description of logical consequence is a straightforward extension of that of equational consequence, as long as Boolean valued propositions and Boolean valued structures are considered; the reduction of the classical 2-valued case then depends on the Boolean prime ideal theorem.
Fuzzy Sets And Their Extensions Representation Aggregation And Models
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Author : Humberto Bustince
language : en
Publisher: Springer
Release Date : 2007-10-30
Fuzzy Sets And Their Extensions Representation Aggregation And Models written by Humberto Bustince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-30 with Computers categories.
This carefully edited book presents an up-to-date state of current research in the use of fuzzy sets and their extensions. It pays particular attention to foundation issues and to their application to four important areas where fuzzy sets are seen to be an important tool for modeling and solving problems. The book’s 34 chapters deal with the subject with clarity and effectiveness. They include four review papers introducing some non-standard representations
Ranked Set Sampling Models And Methods
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Author : Bouza-Herrera, Carlos N.
language : en
Publisher: IGI Global
Release Date : 2021-08-06
Ranked Set Sampling Models And Methods written by Bouza-Herrera, Carlos N. and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-06 with Computers categories.
When it comes to data collection and analysis, ranked set sampling (RSS) continues to increasingly be the focus of methodological research. This type of sampling is an alternative to simple random sampling and can offer substantial improvements in precision and efficient estimation. There are different methods within RSS that can be further explored and discussed. On top of being efficient, RSS is cost-efficient and can be used in situations where sample units are difficult to obtain. With new results in modeling and applications, and a growing importance in theory and practice, it is essential for modeling to be further explored and developed through research. Ranked Set Sampling Models and Methods presents an innovative look at modeling survey sampling research and new models of RSS along with the future potentials of it. The book provides a panoramic view of the state of the art of RSS by presenting some previously known and new models. The chapters illustrate how the modeling is to be developed and how they improve the efficiency of the inferences. The chapters highlight topics such as bootstrap methods, fuzzy weight ranked set sampling method, item count technique, stratified ranked set sampling, and more. This book is essential for statisticians, social and natural science scientists, physicians and all the persons involved with the use of sampling theory in their research along with practitioners, researchers, academicians, and students interested in the latest models and methods for ranked set sampling.
