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Popular Lectures on Mathematical Logic

by Hao Wang Dover Publications (September 22, 2014)

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...

A Beginner's Guide to Mathematical Logic

by Raymond M. Smullyan Dover Publications (March 19, 2014)

Combining stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic, this new textbook for first courses in mathematical logic was written by the subject's creative master....

The Arrow Impossibility Theorem

by Eric Maskin, Amartya Sen, Kenneth J. Arrow & Partha Dasgupta et al. Columbia University Press (July 08, 2014)

Kenneth Arrow's pathbreaking “impossibility theorem” was a watershed in the history of welfare economics, voting theory, and collective choice, demonstrating that there is no voting rule that satisfies the...

Elementary Induction on Abstract Structures

by Yiannis N. Moschovakis Dover Publications (May 15, 2014)

Hailed by the Bulletin of the American Mathematical Society as "easy to use and a pleasure to read," this research monograph is recommended for students and professionals interested in model theory and definability...

Four Lives: A Celebration of Raymond Smullyan

by Jason Rosenhouse & Raymond M. Smullyan Dover Publications (February 20, 2014)

This "best of" collection of works by Raymond Smullyan features logic puzzles, musings on mathematical logic and paradoxes, chess problems, and thoughts on the philosophy of religion, plus personal tributes...

What Is Mathematical Logic?

by J. N. Crossley, C.J. Ash, C.J. Brickhill & J.C. Stillwell Dover Publications (August 01, 2012)

A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg,...

Introduction to Symbolic Logic and Its Applications

by Rudolf Carnap Dover Publications (June 14, 2012)

A clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. It then considers the application of symbolic...

Model Theory: Third Edition

by C.C. Chang & H. Jerome Keisler Dover Publications (October 03, 2013)

This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and...

Foundations of Mathematical Logic

by Haskell B. Curry Dover Publications (May 24, 2012)

Comprehensive graduate-level account of constructive theory of first-order predicate calculus covers formal methods: algorithms and epitheory, brief treatment of Markov's approach to algorithms, elementary facts...

Playing with Infinity

by Rózsa Péter Dover Publications (March 07, 2012)

Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular...

Mathematics and the Imagination

by Edward Kasner & James Newman Dover Publications (March 25, 2013)

With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes;...

Introduction to Logic: and to the Methodology of Deductive Sciences

by Alfred Tarski Dover Publications (July 04, 2013)

This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear...

The Axiom of Choice

by Thomas J. Jech Dover Publications (March 12, 2013)

Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of...

Topoi: The Categorial Analysis of Logic

by Robert Goldblatt Dover Publications (June 27, 2013)

A classic exposition of a branch of mathematical logic that uses category theory, this text is suitable for advanced undergraduates and graduate students and accessible to both philosophically and mathematically...

Studies in Logic and Probability

by George Boole Dover Publications (November 29, 2012)

Authoritative compilation ranges from The Mathematical Analysis of Logic to the end of Boole's career. Includes The Laws of Thought, plus incomplete studies intended for a follow-up volume. 1952 edition.

Introduction to Formal Languages

by György E. Révész Dover Publications (March 20, 2013)

Covers all areas, including operations on languages, context-sensitive languages, automata, decidability, syntax analysis, derivation languages, and more. Numerous worked examples, problem exercises, and elegant...

Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics

by Friedrich Waismann Dover Publications (July 10, 2012)

Examinations of arithmetic, geometry, and theory of integers; rational and natural numbers; complete induction; limit and point of accumulation; remarkable curves; complex and hypercomplex numbers; more. Includes...

The Logic of Chance

by John Venn Dover Publications (April 25, 2013)

No mathematical background is necessary to appreciate this classic of probability theory, which remains unsurpassed in its clarity and readability. It explores physical foundations, logical superstructure, and...

On Formally Undecidable Propositions of Principia Mathematica and Related Systems

by Kurt Gödel Dover Publications (April 26, 2012)

First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction...

Set Theory and Logic

by Robert R. Stoll Dover Publications (April 25, 2012)

Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set...

A Profile of Mathematical Logic

by Howard DeLong Dover Publications (August 29, 2012)

This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired...

Introduction to Logic

by Patrick Suppes Dover Publications (June 14, 2012)

Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions....

Foundations and Fundamental Concepts of Mathematics

by Howard Eves Dover Publications (March 13, 2012)

Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics,...

smarTEST Prep: Guide to LSAT Logic Games

by Pratheep Sevanthinathan & Padmini Raghavan UPA (December 06, 2013)

smarTEST Prep: Guide to LSAT Logic Games presents a standardized and methodical approach to conquering the Logic Games section of the LSAT. This book helps readers to understand the fundamentals of logic games...

The Art of Logic in an Illogical World

by Eugenia Cheng Basic Books (September 10, 2018)

How both logical and emotional reasoning can help us live better in our post-truth world

In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an...

How to Bake Pi

by Eugenia Cheng Basic Books (May 04, 2015)

What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic...

The Origin of the Logic of Symbolic Mathematics: Edmund Husserl and Jacob Klein

by Burt C. Hopkins Indiana University Press (September 07, 2011)

Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins...

The Mathematics of the Gods and the Algorithms of Men

by Paolo Zellini Pegasus Books (May 05, 2020)

A masterful cultural history of mathematics from bestselling Italian mathematician and philosopher Paolo Zellini.

Is mathematics a discovery or an invention? Have we invented numbers or do they truly exist? What...

The Art of Logic in an Illogical World

by Eugenia Cheng & Moira Quirk Basic Books (September 11, 2018)

How both logical and emotional reasoning can help us live better in our post-truth world

In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an...

Can You Solve My Problems?

by Alex Bellos The Experiment (April 18, 2017)

Puzzle lovers, rejoice!

Bestselling math writer Alex Bellos has a challenge for you: 125 of the world’s best brainteasers from the last two millennia.

Armed with logic alone, you’ll detect counterfeit coins,...

An Illustrated Book of Bad Arguments

by Ali Almossawi & Alejandro Giraldo The Experiment (September 23, 2014)

“A flawless compendium of flaws.” —Alice Roberts, PhD, anatomist, writer, and presenter of The Incredible Human Journey

The antidote to fuzzy thinking, with furry animals!

Have you read (or stumbled into)...

Lapses in Mathematical Reasoning

by V. M. Bradis, L. Minkovskii & A. K. Kharcheva Dover Publications (October 28, 2016)

Designed as a method for teaching correct mathematical thinking to high school students, this book contains a brilliantly constructed series of what the authors call "lapses," erroneous statements that are part...

Algebraic Logic

by Paul R. Halmos Dover Publications (March 17, 2016)

Beginning with an introduction to the concepts of algebraic logic, this concise volume features ten articles by a prominent mathematician that originally appeared in journals from 1954 to 1959. Covering monadic...

That's Maths

by Peter Lynch Gill Books (October 14, 2016)

From atom bombs to rebounding slinkies, open your eyes to the mathematical magic in the everyday.

Mathematics isn’t just for academics and scientists, a fact meteorologist and blogger Peter Lynch has spent...

The Canterbury Puzzles and Other Curious Problems

by Henry Ernest Dudeney e-artnow

Henry Ernest Dudeney (1857–1930) was an English author and mathematician who specialised in logic puzzles and mathematical games. He is known as one of the country's foremost creators of puzzles.

The Canterbury...

My Best Mathematical and Logic Puzzles

by Martin Gardner (June 12, 2017)

Over a period of 25 years as author of the Mathematical Games column for Scientific American, Martin Gardner devoted a column every six months or so to short math problems or puzzles. He was especially careful...

The Induction Book

by Steven H. Weintraub Dover Publications (May 03, 2017)

Mathematical induction — along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle — constitute essential proof techniques. Every mathematician...

Naive Set Theory

by Paul R. Halmos Dover Publications (April 19, 2017)

This classic by one of the twentieth century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it employs...

Category Theory in Context

by Emily Riehl Dover Publications (March 09, 2017)

Category theory has provided the foundations for many of the twentieth century's greatest advances in pure mathematics. This concise, original text for a one-semester course on the subject is derived from courses...

Symbolic Logic - The Original Classic Edition

by Lewis Carroll Emereo Publishing (October 24, 2012)

Yes, this is the Lewis Carroll who wrote Alice in Wonderland, and this work shows the same quirky humor. Here you see Carroll the mathematician at his playful best. Don't let the title of the first work mislead...

Logic with a Probability Semantics

by Theodore Hailperin Lehigh University Press (December 16, 2010)

The book extends the development of probability logic_a logic using probability, not verity (true, false) as the basic semantic notion. The basic connectives 'not,' 'and,' and 'or' are described in depth to...