Showing results for "Concise Introduction to Mathematical Logic English"

"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 cle...

The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Godel, Church, Kleene, Rosse

This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability ar...

Russell begins by introducing the basic concepts of mathematical logic, including propositional logic, predicate logic, and set theory. He then argues that these concepts can be used to analyze and clarify philosophical problems, such as the nature of existence, the problem of induction, and the relationship between mind and body.One of the key ideas in the book is the theory of descriptions, which Russell uses to analyze the meaning of sentences that contain definite descriptions, such as...

Combining stories of great writers and philosophers with quotations and riddles, this original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2014 edition.

A Mathematical Introduction to Logic, Second Edition, offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computatio...

'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on formal systems and recursion, and concludes with chapters on Gödel's famous incomp...

In this book, all facets of mathematical logic are presented such as:symbology, principles and properties of elementary logicboolean logicorder theory and axiomatic systemsaxiomatic set theory and Godel's theoremslogical paradoxes and logical antinomiesdescriptive and fuzzy logicsnumber theory and modular arithmetic

’Be warned: cracking puzzles releases a very addictive drug.’ – Marcus du SautoyHave you ever wanted to be a puzzle pro or logical luminary? Well, look no further!The perfect way to liven up your day, The Ultimate Mathematical Challenge has over 365 puzzles to test your wits and excite your mind. From starter puzzles to perplexing Olympiad problems designed to stretch even the strongest mathematicians, this book is the ideal forum to get your brain...

A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and developmental context, and then focuses on the four principal domains of contemporary mathematical logic: set theory, model theory, recursion theory and constructivism, and proof theory.Topics include the place of problems in the development...

Bertrand Russell (1872 1970) was a British philosopher, mathematician, social critic, and political activist. Russell is considered to be one of the founders of analytic philosophy and one of the most important mathematicians and logicians in the 20th century. This edition of Russells Introduction to Mathematical Philosophy includes a table of contents.