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Author Tubbs, Robert, 1954-
Title What is a number? : mathematical concepts and their origins / Robert Tubbs.
Imprint Baltimore : Johns Hopkins University Press, 2009.
Book Jacket
 Main Collection  QA8.4 .T83 2009    AVAILABLE


Call # QA8.4 .T83 2009
Phys. Description x, 305 p. : ill. ; 23 cm.
Bibliog. Includes bibliographical references (p. [281]-290) and index.
Contents Mysticism, number, and geometry : an introduction to Pythagoreanism -- The Elgin Marbles and Plato's geometric chemistry -- An introduction to infinity -- The flat Earth and the spherical sky -- Theology, logic, and questions about angels -- Time, infinity, and incommensurability -- Medieval theories of vision and the discovery of space -- The shape of space and the fourth dimension -- What is a number? -- The dual nature of points and lines -- Modern mathematical infinity -- Elegance and truth.
Summary Mathematics often seems incomprehensible, a melee of strange symbols thrown down on a page. But while formulae, theorems, and proofs can involve highly complex concepts, the math becomes transparent when viewed as part of a bigger picture. What Is a Number? provides that picture. Robert Tubbs examines how mathematical concepts like number, geometric truth, infinity, and proof have been employed by artists, theologians, philosophers, writers, and cosmologists from ancient times to the modern era. Looking at a broad range of topics -- from Pythagoras's exploration of the connection between harmonious sounds and mathematical ratios to the understanding of time in both Western and pre-Columbian thought -- Tubbs ties together seemingly disparate ideas to demonstrate the relationship between the sometimes elusive thought of artists and philosophers and the concrete logic of mathematicians. He complements his textual arguments with diagrams and illustrations. This historic and thematic study refutes the received wisdom that mathematical concepts are esoteric and divorced from other intellectual pursuits -- revealing them instead as dynamic and intrinsic to almost every human endeavor.
Subject Mathematics -- Philosophy.
Logic, Symbolic and mathematical.
Mathematics -- History.
ISBN 9780801890178 (hardcover : acid-free paper)
9780801890185 (pbk. : acid-free paper)
0801890179 (hardcover : acid-free paper)
0801890187 (pbk. : acid-free paper)