Lucidly and gradually explains sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories. Its clarity make...
This short textbook provides a succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. It will be suitable for all mathematics undergraduates coming to the subject for the first time. The book is based on lectures ...
of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Godel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory...
A set can be envisioned as the collection of all things that belong to it (something that belongs to a set is said to be a member of that set). Two sets that have the same members cannot be distinguished and are thus considered identical (that's the principle of extensionality). ...
The material we present in this book requires familiarity with classical propositional logic and some elements of predicate logic and set theory. For the sake of convenience several definitions and facts from these disciplines are gathered below. Our selection is by no means comprehensive. For a ...
Fuzzy Sets and Fuzzy Logic 2024 pdf epub mobi 电子书 图书描述 Reflecting the tremendous advances that have taken place in the study of fuzzy set theory and fuzzy logic from 1988 to the present, this book not only details the theoretical advances in these areas, but considers a broad variety...
The book is thus an important resource for anyone interested in the areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well as their applications. Moreover, the book is also intended to play a useful role in higher education, as a rich source of supplementary reading in ...
Fuzzy sets and Fuzzy Logic Reflecting the advances that have taken place in the study of fuzzy set theory and fuzzy logic from 1988 to the present, this book not only details the the... M Kantardzic - Prentice Hall PTR, 被引量: 3821发表: 2011年 Mathematics behind Fuzzy Logic Fuzzy ...
This book consists of selected papers written by the founder of fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the founder of this field, but has also been the principal contributor to it...
Reflecting the advances that have taken place in the study of fuzzy set theory and fuzzy logic from 1988 to the present, this book not only details the theoretical advances in these areas, but considers a broad variety of applications of fuzzy sets and fuzzy logic as well. Theoretical aspects...