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.
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by 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.
by 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.
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.
by 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.