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). ...
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 ...
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 ...
Algebraic Set Theory and the Effective Topos Following the book Algebraic Set Theory from Andr Joyal and Ieke Moerdijk [8], we give a characterization of the initial ZF-algebra, for Heyting pretoposes... C Kouwenhoven-Gentil,J Van Oosten - 《Journal of Symbolic Logic》 被引量: 34发表: 200...
Concepts and results 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 ...
Set Theory and Its Logic, Revised Edition 2025 pdf epub mobi 电子书 著者简介 Set Theory and Its Logic, Revised Edition 电子书 图书目录 facebooklinkedinmastodonmessengerpinterestreddittelegramtwittervibervkontaktewhatsapp复制链接 想要找书就要到本本书屋 ...
A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces ...
Set Theory and Further Logic Mathematical LogicCollapse v t e Logic Collapse Academic areas Argumentation theory Axiology Critical thinking Computability theory Formal semantics History of logic Informal logic Logic in computer science Mathematical logic Mathematics Metalogic Metamathematics Model theory Philosophi...
This easy-to-understand textbook introduces the mathematical language and problem-solving tools essential to anyone wishing to enter the world of computer and information sciences. Specifically designed for the student who is intimidated by mathematics, the book offers a concise treatment in an engaging...
Only in this century has there been success in obtaining substantial and satisfactory answers. The present book contains a systematic discussion of these results. The investigations are centered around first-order logic. Our first goal is Godels completeness theorem, which shows that the consequence ...