
An Introduction to Mathematical Logic
by Wolfram Pohlers, Thomas Glass
1992
Number of pages: 229
Description:
This text treats pure logic and in this connection introduces to basic proof-theoretic techniques. In the second part fundamentals of model theory and in the third part those of recursion theory are dealt with. Furthermore, some extensions of first order logic are treated. Finally, axiom systems for number theory are introduced and Godel's theorems are proved.
This document is no more available for free.
Similar books
What is Mathematics: Gödel's Theorem and Aroundby Karlis Podnieks - University of Latvia
Textbook for students in mathematical logic and foundations of mathematics. Contents: Platonism, intuition and the nature of mathematics; Axiomatic Set Theory; First Order Arithmetic; Hilbert's Tenth Problem; Incompleteness Theorems; Godel's Theorem.
(10028 views)
A Second Course in Logicby Christopher Gauker - University of Cincinnati
This book is for anyone who has had a solid introductory logic course and wants more. Topics covered include soundness and completeness for first-order logic, Tarski's theorem on the undefinability of truth, Godel's incompleteness theorems, etc.
(15368 views)
Predicative Arithmeticby Edward Nelson - Princeton Univ Pr
The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.
(21064 views)
A Problem Course in Mathematical Logicby Stefan Bilaniuk
An introduction to mathematical logic for undergraduates. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is to learn the material by solving the problems.
(24227 views)