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A Concise Introduction To Mathematical Logic

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A Concise Introduction To Mathematical Logic

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Author : Wolfgang Rautenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2006

A Concise Introduction To Mathematical Logic written by Wolfgang Rautenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

This book is unique in treating mathematical logic in a concise and streamlined fashion. This allows many important topics to be covered in a one semester course. Although the book is intended for use as a graduate text the first three chapters can be understood by undergraduates interested in mathematical logic. The remaining chapters contain material on logic programming for computer scientists, model theory, recursion theory, Godel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed throughout the text, and the author has provided exercises for each chapter, as well as hints to selected exercises. Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics.

A Concise Introduction To Mathematical Logic

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Author : Wolfgang Rautenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-28

While there are already several well known textbooks on mathematical logic this book is unique in treating the material in a concise and streamlined fashion. This allows many important topics to be covered in a one semester course. Although the book is intended for use as a graduate text the first three chapters can be understood by undergraduates interested in mathematical logic. The remaining chapters contain material on logic programming for computer scientists, model theory, recursion theory, Godel’s Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed throughout the text.

Introduction To Mathematical Logic

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Author : Jayant Ramaswamy
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Introduction To Mathematical Logic written by Jayant Ramaswamy and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.

"Introduction to Mathematical Logic" is tailored for undergraduate students seeking a comprehensive introduction to this essential field of mathematics. We provide an accessible yet rigorous exploration of the principles, methods, and applications of mathematical logic. From the foundations of propositional and predicate logic to advanced topics like Gödel's incompleteness theorems and computability theory, we cover a broad range of concepts central to the study of logic. Through clear explanations, illustrative examples, and carefully crafted exercises, students will develop a deep understanding of logical reasoning, formal proof techniques, and the structure of mathematical arguments. Moreover, we emphasize the interdisciplinary nature of mathematical logic, showcasing its relevance in mathematics, philosophy, computer science, and beyond. Real-world applications of logical reasoning are woven throughout the text, demonstrating how logical principles underpin various fields of study, from algorithm design and formal verification to philosophical analysis and linguistic theory. Whether you're a mathematics major, a philosophy student, or pursuing studies in computer science, this book equips you with the tools and insights necessary to navigate the complexities of mathematical logic with confidence. With its blend of theory and application, this text serves as an invaluable resource for undergraduate students embarking on their journey into the realm of mathematical logic.

An Introduction To Mathematical Logic

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Author : Richard E. Hodel
language : en
Publisher: Courier Corporation
Release Date : 2013-01-01

An Introduction To Mathematical Logic written by Richard E. Hodel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.

This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

A Course On Mathematical Logic

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Author : Shashi Mohan Srivastava
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-15

A Course On Mathematical Logic written by Shashi Mohan Srivastava and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-15 with Mathematics categories.

This book provides a distinctive, well-motivated introduction to mathematical logic. It starts with the definition of first order languages, proceeds through propositional logic, completeness theorems, and finally the two Incompleteness Theorems of Godel.

Advances In Mathematical Logic

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Author : Toshiyasu Arai
language : en
Publisher: Springer Nature
Release Date : 2022-01-24

Advances In Mathematical Logic written by Toshiyasu Arai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-24 with Mathematics categories.

Gaisi Takeuti was one of the most brilliant, genius, and influential logicians of the 20th century. He was a long-time professor and professor emeritus of mathematics at the University of Illinois at Urbana-Champaign, USA, before he passed away on May 10, 2017, at the age of 91. Takeuti was one of the founders of Proof Theory, a branch of mathematical logic that originated from Hilbert's program about the consistency of mathematics. Based on Gentzen's pioneering works of proof theory in the 1930s, he proposed a conjecture in 1953 concerning the essential nature of formal proofs of higher-order logic now known as Takeuti's fundamental conjecture and of which he gave a partial positive solution. His arguments on the conjecture and proof theory in general have had great influence on the later developments of mathematical logic, philosophy of mathematics, and applications of mathematical logic to theoretical computer science. Takeuti's work ranged over the whole spectrum of mathematical logic, including set theory, computability theory, Boolean valued analysis, fuzzy logic, bounded arithmetic, and theoretical computer science. He wrote many monographs and textbooks both in English and in Japanese, and his monumental monograph Proof Theory, published in 1975, has long been a standard reference of proof theory. He had a wide range of interests covering virtually all areas of mathematics and extending to physics. His publications include many Japanese books for students and general readers about mathematical logic, mathematics in general, and connections between mathematics and physics, as well as many essays for Japanese science magazines. This volume is a collection of papers based on the Symposium on Advances in Mathematical Logic 2018. The symposium was held September 18–20, 2018, at Kobe University, Japan, and was dedicated to the memory of Professor Gaisi Takeuti.

An Introduction To G Del S Theorems

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Author : Peter Smith
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-21

An Introduction To G Del S Theorems written by Peter Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Biography & Autobiography categories.

A clear and accessible treatment of Gödel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition.

Digital Phenomenology

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Author : Loke Hagberg
language : en
Publisher: BoD - Books on Demand
Release Date : 2021-12-27

Digital Phenomenology written by Loke Hagberg and has been published by BoD - Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-27 with Philosophy categories.

Digital Phenomenology is a report on the philosophical theory of everything. From the first principle, digital philosophy and post-Keynesian economics are proved. The report is technical and aimed toward philosophers, mathematicians, computer scientists, physicists, economists, and political scientists.

Logic And Structure

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Author : Dirk van Dalen
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-29

Logic And Structure written by Dirk van Dalen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-29 with Mathematics categories.

New corrected printing of a well-established text on logic at the introductory level.

Relations Concrete Abstract And Applied An Introduction

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Author : Herbert Toth
language : en
Publisher: World Scientific
Release Date : 2020-06-22

Relations Concrete Abstract And Applied An Introduction written by Herbert Toth and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-22 with Mathematics categories.

The book is intended as an invitation to the topic of relations on a rather general basis. It fills the gap between the basic knowledge offered in countless introductory papers and books (usually comprising orders and equivalences) and the highly specialized monographs on mainly relation algebras, many-valued (fuzzy) relations, or graphs. This is done not only by presenting theoretical results but also by giving hints to some of the many interesting application areas (also including their respective theoretical basics).This book is a new — and the first of its kind — compilation of known results on binary relations. It offers relational concepts in both reasonable depth and broadness, and also provides insight into the vast diversity of theoretical results as well as application possibilities beyond the commonly known examples.This book is unique by the spectrum of the topics it handles. As indicated in its title these are:

A Concise Introduction To Mathematical Logic

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