Undecidable Theories : Studies in Logic and the Foundation of Mathematics

This book is well known for its proof that many mathematical systems -- including lattice theory and closure algebras -- are undecidable. It consists of three treatises from one of the greatest logicians of all time: "A General Method in Proofs of Undecidability," "Undecidability and Essential Undecidability in Mathematics," and "Undecidability of the Elementary Theory of Groups."