Introduction to Mathematical Logic Alonzo Church 1956 Teorema Godel Incompletude Rosser Logica proposicional

Introduction to Mathematical Logic

Alonzo Church

Princeton University Press

1956

capa dura, bom estado, coda5b, escasso, saiba mais. One of the pioneers of mathematical logic in the twentieth century was Alonzo Church.

He introduced such concepts as the lambda calculus, now an essential tool of computer science, and was the founder of the Journal of Symbolic Logic. In Introduction to Mathematical Logic, Church presents a masterful overview of the subject--one which should be read by every researcher and student of logic.


Introduction to Mathematical Logic includes - propositional logic; first-order logic; first-order number theory and the incompleteness and undecidability theorems of Gödel, Rosser, Church, and Tarski; axiomatic set theory; theory of computability.

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 was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science.

Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic.

Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979 At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.