TY  - BOOK
AU  - Cunningham,Daniel
TI  - Mathematical Logic: An Introduction 
T2  - De Gruyter Textbook
SN  - 9783110782011
U1  - 511.3 23/eng/20231120
PY  - 2023///]
CY  - Berlin, Boston : 
PB  - De Gruyter, 
KW  - Deduktives Denken
KW  - Logik erster Ordnung
KW  - Logik zweiter Ordnung
KW  - Mathematische Logik
KW  - PHILOSOPHY / Logic
KW  - bisacsh
KW  - Mathematical logic, logic of the first order, logic of the second order, deductive reasoning
N1  - Frontmatter --; Preface --; Acknowledgments --; Contents --; 1 Basic set theory and basic logic --; 2 Propositional logic --; 3 First-order logic --; 4 Soundness and completeness --; 5 Computability --; 6 Undecidability and incompleteness --; Bibliography --; Symbol Index --; Subject Index; restricted access; Issued also in print
N2  - Mathematical Logic: An Introduction is a textbook that uses mathematical tools to investigate mathematics itself. In particular, the concepts of proof and truth are examined. The book presents the fundamental topics in mathematical logic and presents clear and complete proofs throughout the text. Such proofs are used to develop the language of propositional logic and the language of first-order logic, including the notion of a formal deduction. The text also covers Tarski’s definition of truth and the computability concept. It also provides coherent proofs of Godel’s completeness and incompleteness theorems. Moreover, the text was written with the student in mind and thus, it provides an accessible introduction to mathematical logic. In particular, the text explicitly shows the reader how to prove the basic theorems and presents detailed proofs throughout the book. Most undergraduate books on mathematical logic are written for a reader who is well-versed in logical notation and mathematical proof. This textbook is written to attract a wider audience, including students who are not yet experts in the art of mathematical proof
UR  - https://doi.org/10.1515/9783110782073
UR  - https://www.degruyter.com/isbn/9783110782073
UR  - https://www.degruyter.com/document/cover/isbn/9783110782073/original
ER  -