Mathematics
Logic and Philosophy


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The Foundations of Mathematics
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The Foundations of Mathematics
by Thomas Q. Sibley

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Finally there's an easy-to-follow book that will help readers succeed in the art of proving theorems. Sibley not only conveys the spirit of mathematics but also uncovers the skills required to succeed. Key definitions are introduced while readers are...
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Gödel, Escher, Bach: An Eternal Golden Braid
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Gödel, Escher, Bach: An Eternal Golden Braid
by Douglas Hofstadter

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Douglas Hofstadter’s book is concerned directly with the nature of “maps” or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If...
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Alfred Tarski: Life and Logic
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Alfred Tarski: Life and Logic
by Anita Burd Feferman

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Alfred Tarski, one of the greatest logicians of all time, is widely thought of as 'the man who defined truth'. His mathematical work on the concepts of truth and logical consequence are cornerstones of modern logic, influencing developments in philosophy,...
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Euclid in the Rainforest: Discovering Universal Truth in Logic and Math
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Euclid in the Rainforest: Discovering Universal Truth in Logic and Math
by Joseph Mazur

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Like Douglas Hofstadters Gdel, Escher, Bach, and David Berlinskis A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logicthe one indispensable tool in mans quest to understand the world. Underpinning...
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How To Solve It 2ND Edition
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How To Solve It 2ND Edition
by G Polya

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A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be...
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Set Theory, Logic and Their Limitations
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Set Theory, Logic and Their Limitations
by Moshe Machover

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In this introduction to set theory and logic, the author discusses first order logic, and gives a rigorous axiomatic presentation of Zermelo-Fraenkel set theory. He includes many methodological remarks and explanations, and demonstrates how the basic...
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To Mock a Mockingbird: and Other Logic Puzzles (UK Edition)
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To Mock a Mockingbird: and Other Logic Puzzles (UK Edition)
by Raymond M. Smullyan

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This is a puzzle book covering logic, philosophy, psychology, artificial intelligence, computer science and mathematics. It contains many puzzles and their solutions and aims to attract many readers in an age where computer science, logic, and...
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Mathematical Fallacies and Paradoxes
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Mathematical Fallacies and Paradoxes
by Bryan H Bunch

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Stimulating, thought-provoking analysis of a number of the most interesting intellectual inconsistencies in mathematics, physics and language. Delightful elucidations of methods for misunderstanding the real world of experiment (Aristotle’s Circle...
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Foundations of Measurement #1: Additive and Polynomial Representations
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Foundations of Measurement #1: Additive and Polynomial Representations
by David H. Krantz

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A classic series in the field of quantitative measurement, Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of...
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To Infinity and Beyond: A Cultural History of the Infinite (Princeton Paperbacks)
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To Infinity and Beyond: A Cultural History of the Infinite (Princeton Paperbacks)
by Eli Maor

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Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the "horror infiniti" of the Greeks to the...
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The Art and Craft of Problem Solving
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The Art and Craft of Problem Solving
by Paul Zeitz

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The newly revisedA Second Edtion of this distinctive text uniquely blends interesting problems with strategies, tools, and techniques to develop mathematical skill and intuition necessary for problem solving.A Readers areA encouraged to do math rather...
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Introduction To Probability and Inductive Logic (01 Edition)
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Introduction To Probability and Inductive Logic (01 Edition)
by Ian Hacking

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An introductory textbook on probability and induction written by a foremost philosopher of science....
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I Am a Strange Loop
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I Am a Strange Loop
by Douglas R. Hofstadter

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Douglas Hofstadter's follow-up to his beloved classic Gödel, Escher, Bach is a fascinating exploration of a central philosophical concern: What exactly is the self? Brilliant, funny, and surprising, I Am a Strange Loop is a unique look at what makes...
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Profile of Mathematical Logic (04 Edition)
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Profile of Mathematical Logic (04 Edition)
by Howard Delong

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Readers need only an acquaintance with high school–level math to appreciate this text, which explores the historical reasons for the formation of Aristotelian logic, the rise of mathematical logic, the nature of the formal axiomatic method and its...
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The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive Reasoning (1847)
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The Mathematical Analysis of Logic: Being an Essay Towards a Calculus of Deductive Reasoning (1847)
by George Boole

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George Boole (1815-1864) is renowned as the first logician to apply algebraic methods to logic successfully. His Mathematical Analysis of Logic, first published in 1847, was the ground-breaking work that laid the foundations for what is known today as...
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Axiomatic Set Theory
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Axiomatic Set Theory
by Patrick Suppes

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In one of the finest treatments for upper undergraduate and graduate level students, Professor Suppes presents axiomatic set theory: the basic paradoxes and history of set theory, and advanced topics such as relations and functions, equipollence, finite...
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The Mind's I: Fantasies and Reflections on Self & Soul
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The Mind's I: Fantasies and Reflections on Self & Soul
by Douglas Hofstadter

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With contributions from Jorge Luis Borges, Richard Dawkins, John Searle, and Robert Nozick, The Mind's I explores the meaning of self and consciousness through the perspectives of literature, artificial intelligence, psychology, and other disciplines. In...
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Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem Form
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Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem Form
by I M Glazman

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This remarkable book takes a unique approach to linear algebra, presenting a logically interconnected sequence of 2,400 propositions and problems with hints and pointers, but without proofs. Advanced undergraduates and graduate students work out formal...
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A Course on Mathematical Logic (Universitext)
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A Course on Mathematical Logic (Universitext)
by S. M. Srivastava

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This textbook is written for advanced undegraduates or first year graduate students of mathematics and computer science. It is also intended for the working mathematician who wants to gain an appreciation of Mathematical Logic. There are no prerequisites...
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Thinking Recursively
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Thinking Recursively
by Eric Roberts

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Designed for undergraduate or graduate students taking any accounting information systems course, this casebook consists of a series of case projects useful for analyzing and developing an information system. Balances all the elements of the analysis and...
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