The Algebra of Logic
by Louis Couturat
Publisher: Project Gutenberg 2004
Number of pages: 102
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, symmetry and simplicity of the calculus of logic regarded as an algebra.
Home page url
Download or read it online for free here:
by Robert A. Herrmann
This is Robert Herrmann's elementary book in mathematical logic that includes all basic material in the predicate and propositional calculus presented in a unique manner. Neither proof requires specialized mathematical procedures.
by Johan van Benthem - CSLI
An examination of the role of partial information - with illustrations drawn from different branches of Intensional Logic - and various influences stemming from current theories of the semantics of natural language, involving generalized quantifiers.
by 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.
by Kees Doets, Jan van Eijck - College Publications
The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming. The programming language that will be our tool for this is Haskell, a member of the Lisp family.