Classical Mathematical Logic: The Semantic Foundations of Logic
Richard L. Epstein, Lesław W. Szczerba (Contributor)
In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations.
The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference.
Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations.
Категорії:
Рік:
2011
Видання:
1, with corrections
Видавництво:
Princeton University Press
Мова:
english
Сторінки:
545
ISBN 10:
0691123004
ISBN 13:
9780691123004
ISBN:
B58KZRQU37QC
Файл:
PDF, 3.49 MB
IPFS:
,
english, 2011