Topics in Logic and Foundations
by Stephen G. Simpson
Publisher: The Pennsylvania State University 2005
Number of pages: 89
Description:
This is a set of lecture notes from a 15-week graduate course at the Pennsylvania State University. The course was intended for students already familiar with the basics of mathematical logic. The course covered some topics which are important in contemporary mathematical logic and foundations but usually omitted from introductory courses.
Download or read it online for free here:
Download link
(620KB, PDF)
Similar books
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.
(15152 views)
Mathematical Logicby Stephen G. Simpson - Pennsylvania State University
Lecture notes for all mathematics graduate students. The text covers propositional calculus, predicate calculus, proof systems, extensions of the predicate calculus, theories, definability, interpretability, arithmetization and incompleteness.
(17510 views)
Formal Logic- Wikibooks
An undergraduate college level textbook covering first order predicate logic with identity but omitting metalogical proofs. The first rules of formal logic were written over 2300 years ago by Aristotle and are still vital.
(15624 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.
(13480 views)