The Principles Of Mathematics
by Bertrand Russell
Publisher: W. W. Norton & Company
Number of pages: 579
Russell's classic 'The Principles of Mathematics' sets forth his landmark thesis that mathematics and logic are identical -- that what is commonly called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.
Home page url
Download or read it online for free here:
by Nick Bezhanishvili, Dick de Jongh - Universiteit van Amsterdam
In this course we give an introduction to intuitionistic logic. We concentrate on the propositional calculus mostly, make some minor excursions to the predicate calculus and to the use of intuitionistic logic in intuitionistic formal systems.
by Stephen G. Simpson - The Pennsylvania State University
This is a set of lecture notes from a 15-week graduate course at the Pennsylvania State University. The course covered some topics which are important in contemporary mathematical logic and foundations but usually omitted from introductory courses.
by Uli Furbach - Wikibooks
This book is intended for computer scientists and it assumes only some basic mathematical notions like relations and orderings. The aim was to create an interactive script where logics can be experienced by interaction and experimentation.
by Arnold W. Miller - arXiv
This is a set of questions written for a 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; etc.