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
Algebraic Logicby H. Andreka, I. Nemeti, I. Sain
Part I of the book studies algebras which are relevant to logic. Part II deals with the methodology of solving logic problems by (i) translating them to algebra, (ii) solving the algebraic problem, and (iii) translating the result back to logic.
(13189 views)
The Principles Of Mathematicsby Bertrand Russell - W. W. Norton & Company
Russell's classic sets forth his landmark thesis that mathematics and logic are identical -- that what is called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on the foundations of mathematics.
(9729 views)
forall x: An Introduction to Formal Logicby P.D. Magnus
An introduction to sentential logic and first-order predicate logic with identity, logical systems that influenced twentieth-century analytic philosophy. The book should help students understand quantified expressions in their philosophical reading.
(13637 views)
The Algebra of Logicby Louis Couturat - Project Gutenberg
Mathematical Logic is a necessary preliminary to logical Mathematics. The present work is concerned with the 'calculus ratiocinator' aspect, and shows, in an admirably succinct form, the beauty of the calculus of logic regarded as an algebra.
(8745 views)