Logic for Mathematicians

ISBN-13: 9780521368650 / Angielski / Miękka / 1988 / 240 str.

A. G. Hamilton

Opis

Intended for logicians and mathematicians, this text is based on Dr. Hamilton's lectures to third and fourth year undergraduates in mathematics at the University of Stirling. With a prerequisite of first year mathematics, the author introduces students and professional mathematicians to the techniques and principal results of mathematical logic. In presenting the subject matter without bias towards particular aspects, applications or developments, it is placed in the context of mathematics. To emphasize the level, the text progresses from informal discussion to the precise description and use of formal mathmematical and logical systems. The revision of this very successful textbook includes new sections on skolemization and the application of well-formed formulae to logic programming; numerous corrections have been made and extra exercises added.

Spis treści

Preface; 1. Informal statement calculus; 2. Formal statement calculus; 3. Informal predicate calculus; 4. Formal predicate calculus; 5. Mathematical systems; 6. The Gödel incompleteness theorem; 7. Computability, unsolvability, undecidability; Appendix; Hints and solutions to selected exercises; References and further reading; Glossary of symbols; Index.