David Hilbert was particularly interested in the foundations of
mathematics. Among many other things, he is famous for his attempt to
axiomatize mathematics. This text is his treatment of symbolic logic
which 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 Godel's completeness proof for the
predicate calculus has been updated."