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Mathematical Logic : An Introduction / Daniel Cunningham.

By: Material type: TextTextSeries: De Gruyter TextbookPublisher: Berlin ; Boston : De Gruyter, [2023]Copyright date: ©2023Description: 1 online resource (XIV, 256 p.)Content type:
Media type:
Carrier type:
ISBN:
  • 9783110782011
  • 9783110782196
  • 9783110782073
Subject(s): DDC classification:
  • 511.3 23/eng/20231120
Other classification:
  • online - DeGruyter
Online resources: Available additional physical forms:
  • Issued also in print.
Contents:
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
Summary: 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.
Holdings
Item type Current library Call number URL Status Notes Barcode
eBook eBook Biblioteca "Angelicum" Pont. Univ. S.Tommaso d'Aquino Nuvola online online - DeGruyter (Browse shelf(Opens below)) Online access Not for loan (Accesso limitato) Accesso per gli utenti autorizzati / Access for authorized users (dgr)9783110782073

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 online access with authorization star

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.

Issued also in print.

Mode of access: Internet via World Wide Web.

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Mrz 2024)