by Edward Nelson
Publisher: Princeton Univ Pr 1987
Number of pages: 201
The book is 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, Euclidean algorithm, encoding, sets and functions, and more.
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by Gary Hardegree - Mcgraw-Hill College
Contents: Basic Concepts of Logic; Truth-Functional Connectives; Validity in Sentential Logic; Translations in Sentential Logic; Derivations in Sentential Logic; Translations in Monadic Predicate Logic; Translations in Polyadic Predicate Logic; etc.
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 A. S. Troelstra - CSLI
This text deals with logical formalism, cut-elimination, the embedding of intuitionistic logic in classical linear logic, proofnets for the multiplicative fragment and the algorithmic interpretation of cut-elimination in proofnets.
by Karlis Podnieks - University of Latvia
Textbook for students in mathematical logic and foundations of mathematics. Contents: Platonism, intuition and the nature of mathematics; Axiomatic Set Theory; First Order Arithmetic; Hilbert's Tenth Problem; Incompleteness Theorems; Godel's Theorem.