Mathematical Logic : An Introduction /
Cunningham, Daniel
Mathematical Logic : An Introduction / Daniel Cunningham. - 1 online resource (XIV, 256 p.) - De Gruyter Textbook .
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 http://purl.org/coar/access_right/c_16ec
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.
Mode of access: Internet via World Wide Web.
In English.
9783110782011 9783110782196 9783110782073
10.1515/9783110782073 doi
Deduktives Denken.
Logik erster Ordnung.
Logik zweiter Ordnung.
Mathematische Logik.
PHILOSOPHY / Logic.
Mathematical logic, logic of the first order, logic of the second order, deductive reasoning.
511.3
Mathematical Logic : An Introduction / Daniel Cunningham. - 1 online resource (XIV, 256 p.) - De Gruyter Textbook .
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 http://purl.org/coar/access_right/c_16ec
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.
Mode of access: Internet via World Wide Web.
In English.
9783110782011 9783110782196 9783110782073
10.1515/9783110782073 doi
Deduktives Denken.
Logik erster Ordnung.
Logik zweiter Ordnung.
Mathematische Logik.
PHILOSOPHY / Logic.
Mathematical logic, logic of the first order, logic of the second order, deductive reasoning.
511.3