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The Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Godel

by I. Grattan-Guinness

While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact...


Introduction to Proof in Abstract Mathematics

by Andrew Wohlgemuth

The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability...


A Beginner's Guide to Mathematical Logic

by Raymond M. Smullyan

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

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

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...


Proceedings of the 12th Asian Logic Conference: Proceedings of the 12th Asian Logic Conference

by Rod Downey, Jörg Brendle & Robert Goldblatt

The Asian Logic Conference is the most significant logic meeting outside of North America and Europe, and this volume represents work presented at, and arising from the 12th meeting. It collects a number of...


Referential Opacity and Modal Logic

by Dagfinn Follesdal

This landmark dissertation (1961) provides a systematic introduction to systems of modal logic and stands as the first presentation of what have become central ideas in philosophy of language and metaphysics,...


Paradoxes of the Infinite

by Bernard Bolzano

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano's Paradoxien. This volume contains an adept translation...


Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing

by Tim Chartier

This book provides a fun, hands-on approach to learning how mathematics and computing relate to the world around us and help us to better understand it. How can reposting on Twitter kill a movie’s opening...


Introduction to Symbolic Logic and Its Applications

by Rudolf Carnap

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...


A Practical Guide to Critical Thinking: Deciding What to Do and Believe

by David Hunter

A practical introduction to critical thinking across various disciplines

Knowing how to think critically about what to believe and what to do is essential for success in both academic and professional environments....


Greek, Indian and Arabic Logic

by Dov M. Gabbay & John Woods

Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon...


The Rise of Modern Logic: from Leibniz to Frege: from Leibniz to Frege

by Dov M. Gabbay & John Woods

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from...


Descartes' Error: Emotion, Reason, and the Human Brain

by Antonio Damasio

Since Descartes famously proclaimed, "I think, therefore I am," science has often overlooked emotions as the source of a person’s true being. Even modern neuroscience has tended, until recently, to concentrate...


Perfect Numerical and Logical Test Results

by Joanna Moutafi & Marianna Moutafi

-Have you been asked to sit a numerical or logical reasoning test?

-Do you need some help preparing for the questions you'll be asked?

-Do you want to make sure you perform to the best of your abilities?

Perfect...


The Arts of Truth

by Rud Istvan

Synopsis

This book is a primer on critical thinking. Without it, the Internet is only a misinformation highway. The dark arts of untruthfulness are ubiquitous in 'official' information. The general techniques...


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

by Burt C. Hopkins

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...


Lewis Carroll in Numberland: His Fantastical Mathematical Logical Life

by Robin Wilson

“A fine mathematical biography.”—John Allen Paulos, New York Times Book Review Just when we thought we knew everything about Lewis Carroll, here comes this “insightful . . . scholarly . . . serious”...


The Puzzler's Dilemma: From the Lighthouse of Alexandria to Monty Hall, a Fresh Look at Classic Conundrums of Logic, Mathematics, and Life

by Derrick Niederman

Calling all puzzlers...

From mathematics to word puzzles, from logic to lateral thinking, veteran puzzle maker Derrick Niederman delights in tackling the trickiest brainteasers in a new way. Among the old chestnuts...


Classical Mathematical Logic: The Semantic Foundations of Logic

by Richard L. Epstein & Leslaw W. Szczerba

In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can...