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Anathem
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by
Neal Stephenson
Since childhood, Erasmus has lived behind the walls of a 3,400-year-old monastery. There, he and his cohorts are sealed off from the illiterate, irrational, and unpredictable secular world, until the day that a higher power decides it is only these cloistered scholars who have the abilities to avert an impending catastrophe.
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Is God a Mathematician?
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Mario Livio
This fascinating exploration of the great discoveries of history's most important mathematicians seeks an answer to the eternal question: Does mathematics hold the key to understanding the mysteries of the physical world? Illustrations throughout.
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A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
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by
Michael S Schneider
An imaginative tour of the numbers one through ten that illustrates how they consistently recur in everything from nature, technology, art, and science to mythology and the unconscious in archetypal patterns and principles. Richly illustrated with computer graphics and classical art.
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The Math Gene: How Mathematical Thinking Evolved and Why Numbers Are Like Gossip
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Keith J Devlin
In this scholarly but straightforward work, a mathematician presents contemporary research that supports innate mathematical abilities in most humans. Through numerous exercises and supplementary illustrations, he suggests ways to retrain the mind by channeling capabilities for abstract thinking into a genuine understanding and appreciation of ...
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Science and Sanity: An Introduction to Non-Aristotelian Systems and General Semantics
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by
Alfred Korzybski
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The Mathematical Experience
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by
Philip J. Davis, Reuben Hersh
This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.
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Tour of the Calculus
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David Berlinski
The great achievement of this title is that it breathes life into the core of mathematical principles and process of the calculus, and also reveals its dazzling capacity to elucidate and explain. In language as clear and instructive as it is impassioned and lyrical, the author explains the meaning of real and rational numbers, the Mean Value ...
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How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
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by
James D Stein
Stein offers this beginner's guide to the power of numbers. He explains how math weaves the world together and the unexpected ways that discovery can lead to even more innovation.
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The Unimaginable Mathematics of Borges' Library of Babel
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William Goldbloom Bloch
"The Library of Babel" is arguably Jorge Luis Borges' best known story-memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. ...
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Mathematical Logic
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by
Stephen Kleene
Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas and the more profound results of logical research in the 20th century. 1967 edition.
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Descartes' Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe
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by
Amir D Aczel, PhD
A towering figure in Western philosophy and mathematics, Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret, coded notebook. What does the notebook reveal?
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The Frege Reader
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Michael Beaney, Gottlob Frege
This is the first single-volume edition and translation of Frege's philosophical writings to include all of his seminal papers as well as substantial selections from all three of his major works. It is intended to provide the essential primary texts for students of logic, philosophical logic, philosophy of language, and philosophy of mathematics. ...
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The Oxford Handbook of Philosophy of Mathematics and Logic
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by
Stewart Shapiro (Editor)
Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge ...
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Metaphysics, Mathematics, and Meaning: Philosophical Papers
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by
Nathan U Salmon
Metaphysics, Mathematics, and Meaning brings together Nathan Salmon's influential papers on topics in the metaphysics of existence, non-existence, and fiction; modality and its logic; strict identity, including personal identity; numbers and numerical quantifiers; the philosophical significance of Godel's Incompleteness theorems; and semantic ...
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Principles of Mathematics
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by
Bertrand Russell, Earl
Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are ...
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Foundations and Fundamental Concepts of Mathematics
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by
Howard Eves
This book should be of interest to degree and diploma students taking introductory courses in mathematics.
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The Lifebox, the Seashell, and the Soul: What Gnarly Computation Taught Me about Ultimate Reality, the Meaning of Life, and How to Be Happy
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by
Rudy Rucker
A journey of a thousand miles begins with one step, goes the ancient saying. This concept is at the root of the computational worldview, which basically says that very complex systemsthe world we live inhave their beginnings in simple mathematical equations. We've lately come to understand that such an algorithm is only the start of a never ...
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Knowledge and Social Imagery
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by
David Bloor
The first edition of this book profoundly challenged and divided students of philosophy, sociology, and the history of science when it was published in 1976. In this second edition, Bloor responds in a substantial new Afterword to the heated debates engendered by his book.
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The Hilbert Challenge
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by
Jeremy Gray, Dr. David Rowe
David Hilbert was arguably the leading mathematician of his generation. He was among the few mathematicians who could reshape mathematics, and was able to because he brought together an impressive technical power and mastery of detail with a vision of where the subject was going and how it should get there. This was the unique combination which he ...
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Mind Tools: The Five Levels of Mathematical Reality
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by
Rudy Von B Rucker
A popular, accessible exploration of the dizzying concepts of postmodern mathematics. Illustrated.
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The Math Instinct: Why You're a Mathematical Genius (Along with Lobsters, Birds, Cats, and Dogs)
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by
Keith J Devlin
There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh Corgis and us is innate. But what innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. ...
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The Mathematical Experience, Study Edition
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by
Philip J Davis, Reuben Hersh, Elena A Marchisotto
This is a revised edition of a monograph describing what mathematics is about and what mathematicians do. It is also a text aimed at non-mathematics majors. It contains exercises and is accompanied by an instructor's guide.
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An introduction to the foundations and fundamental concepts of mathematics
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Howard Whitley Eves, Carroll Vincent Newsom
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On Science
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by
B K Ridley
Can science explain everything? Brian Ridley, a physicist himself, explores this question and more in this exploration of both the scope and limits of science. Tracing back to the roots of scientific thinking in a world of "magical ideals", he argues that science shares more with magic than we are often led to believe. The book also explores the ...
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Euclid in the Rainforest: 5discovering Universal Truth in Logic and Math
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by
Joseph Mazur
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