Limits of Mathematics: A Journey Through the Key Areas of Mathematical Logic (Paperback) (ISBN-13: 9783662709986)

Is mathematics free of contradictions? Are there truths beyond what can be proven? Is it possible to encode our mathematical knowledge into a single number? Modern mathematical logic of the twentieth century provides astonishing answers to these questions. This book takes you on a journey through the core areas of mathematical logic, leading to the limits of mathematics. The covered topics include the history of mathematical logic, formal systems, axiomatic number theory and set theory, proof theory, Gödel's incompleteness theorems, computability theory, algorithmic information theory, and model theory.

The book contains numerous two-color illustrations and more than 70 exercises (with solutions available on the author's website). This translation is based on the third edition of the original German book.

Author: Dirk W. Hoffmann
ISBN-10: 3662709988
ISBN-13: 9783662709986
Publisher: Springer
Language: English
Published: 10/02/2025
Pages: 422
Format: Paperback
Weight: 1.64lbs
Size: 11.55h x 4.21w x 0.92d