Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church's contributions to number theory and theories of algorithms and computability laid the theoretical foundations of computer science. This book is a basic source for understanding formal logic.
This book is intended to be used as a textbook by students of mathematics, and also within limitations as a reference work. As a textbook it offers a beginning course in mathematical logic, but presupposes some substantial mathematical background.
"This volume . . . is a reprint of the revised 1956 version of this notable title first published in 1944 in the Annals of Mathematics Studies. Quite a pedigree . . . [I]t is fitting that the release of this inexpensive reprint should make his masterly treatise available to everyone with an interest in the subject."