AMS Chelsea Publishing 1950; 172 pp; hardcover Volume: 69 Reprint/Revision History: first AMS printing 1999 ISBN10: 0821820249 ISBN13: 9780821820247 List Price: US$32 Member Price: US$28.80 Order Code: CHEL/69.H
 David Hilbert was particularly interested in the foundations of mathematics. Among many other things, he is famous for his attempt to axiomatize mathematics. This now classic text is his treatment of symbolic logic. It lays the groundwork for his later work with Bernays. This translation is based on the second German edition, and has been modified according to the criticisms of Church and Quine. In particular, the authors' original formulation of Gödel's completeness proof for the predicate calculus has been updated. In the first half of the twentieth century, an important debate on the foundations of mathematics took place. Principles of Mathematical Logic represents one of Hilbert's important contributions to that debate. Although symbolic logic has grown considerably in the subsequent decades, this book remains a classic. Readership Graduate students and research mathematicians interested in logic and foundations. Table of Contents  The sentential calculus
 The calculus of classes (monadic predicate calculus)
 The restricted predicate calculus
 The extended predicate calculus
 Editor's notes
 Bibliography
 Index
