FreeComputerBooks.com
Links to Free Computer, Mathematics, Technical Books all over the World


 Title Incompleteness and Computability: An Open Introduction to Gödel's Theorems
 Author(s) Richard Zach
 Publisher: University of Calgary and Open Logic Project (November 9, 2019)
 License(s): CC BY 4.0
 Paperback 281 pages
 eBook PDF (290 pages)
 Language: English
 ISBN10: 1077323395
 ISBN13: 9781077323391
 Share This:
Book Description
This book is an introduction to metamathematics and Gödel's Theorems. It covers recursive function theory, arithmetization of syntax, the first and second incompleteness theorem, models of arithmetic, secondorder logic, and the lambda calculus.
It is based on the Open Logic Project, and available for free download at ic.openlogicproject.org.
About the AuthorsN/A
 Mathematical Logic  Computability, Set Theory, Model Theory, etc
 Theory of Computation and Computing
 Computational Complexity
 Incompleteness and Computability: An Open Introduction to Gödel's Theorems (Richard Zach)
 The Mirror Site (1)  PDF
 The Mirror Site (2)  PDF

What is Mathematics: Godel's Theorem and Around (K. Podnieks)
This accessible book gives a new, detailed and elementary explanation of the Godel incompleteness theorems and presents the Chaitin results and their relation to the da CostaDoria results, which are given in full, but with no technicalities.

Mathematics in the Age of the Turing Machine (Thomas C. Hales)
Computers have rapidly become so pervasive in mathematics that future generations may look back to this day as a golden dawn. The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs.

Computability, Unsolvability, Randomness (Stephen G. Simpson)
The author exposits Turing's 1936 theory of computability and unsolvability, as subsequently developed by Kleene and Post. This theory is of the essence in theoretical computer science and in the study of unsolvable mathematical problems.

Computability and Randomness (Andre Nies)
The complexity and the randomness aspect of a set of natural numbers are closely related. This book includes a detailed treatment of Turing's theory of computability and unsolvability as subsequently developed by Kleene, Post, Friedberg, etc.

Exploring Randomness (Gregory J. Chaitin)
This book presents the technical core of the theory of programsize complexity. LISP is used to present the key algorithms and to enable computer users to interact with the authors proofs and discover for themselves how they work.

Computability Theory: Introduction to Recursion Theory
Computability Theory originated with the seminal work of Gödel, Church, Turing, Kleene and Post in the 1930s. These texts provide concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results.

Introduction to Mathematical Philosophy (Bertrand Russell)
Requiring neither prior knowledge of mathematics nor aptitude for mathematical symbolism, the book serves as essential reading for anyone interested in the intersection of mathematics and logic and in the development of analytic philosophy.

Introduction to Mathematical Logic (Vilnis Detlovs, et al)
This book explores the principal topics of mathematical logic. It covers propositional logic, firstorder logic, firstorder number theory, axiomatic set theory, and the theory of computability. Discusses the major results of Gödel, Church, Kleene, Rosser, and Turing.

A Friendly Introduction to Mathematical Logic (Chris Leary)
In this userfriendly book, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems.
:






















