libcats.org
Главная

The Mathematics of Logic. A guide to completeness theorems and their applications

Обложка книги The Mathematics of Logic. A guide to completeness theorems and their applications

The Mathematics of Logic. A guide to completeness theorems and their applications

This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with König's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.
EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:

Каникулы

Автор:
Размер книги: 13 Kb

Зло нарастает

Автор:
Категория: Ужасы и Мистика
Размер книги: 757 Kb

Момент истины. В августе 44-го

Автор:
Категория: ИСТОРИЯ
Размер книги: 1.52 Mb

Representing Health

Автор: , Автор:
Размер книги: 1.52 Mb

Mein Kampf

Автор:
Категория: fiction
Размер книги: 701 Kb
Только что пользователи скачали эти книги:

Liz Williams - La Malcontenta

Автор:
Размер книги: 19 Kb

Neuropeptide Y and Drug Development

Автор:
Размер книги: 11.98 Mb

Supramolecular Design for Biological Applications

Автор:
Размер книги: 6.11 Mb

Nice or Nasty: A Book of Opposites

Автор: , Автор:
Категория: artbook
Размер книги: 11.55 Mb

iCon Steve Jobs: The Greatest Second Act in the History of Business

Автор: , Автор:
Категория: biography
Размер книги: 25.03 Mb

Hymnes et prières aux dieux de Babylonie et d'Assyrie

Автор:
Размер книги: 33.62 Mb