Introduction to Mathematical Logic: A problem solving course
by Arnold W. Miller
Publisher: arXiv 1996
Number of pages: 75
Description:
This is a set of 288 questions written for a Moore-style course in Mathematical Logic. Topics covered are: propositional logic; axioms of ZFC; wellorderings and equivalents of AC; ordinal and cardinal arithmetic; first order logic, and the compactness theorem; Lowenheim-Skolem theorems; Turing machines, Church's Thesis; completeness theorem and first incompleteness theorem; undecidable theories; second incompleteness theorem.
Download or read it online for free here:
Download link
(430KB, PDF)
Similar books
Logics of Time and Computationby Robert Goldblatt - Center for the Study of Language
Sets out the basic theory of normal modal and temporal propositional logics, applies this theory to logics of discrete, dense, and continuous time, to the temporal logic of henceforth, next, and until, and to the dynamic logic of regular programs.
(11035 views)
A Concise Introduction to Mathematical Logicby Wolfgang Rautenberg - Springer
A well-written introduction to the beautiful and coherent subject. It contains classical material such as logical calculi, beginnings of model theory, and Goedel's incompleteness theorems, as well as some topics motivated by applications.
(14242 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.
(12620 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.
(17796 views)