How Not to Be Wrong

How Not to Be Wrong

Author: Jordan Ellenberg

Publisher: Penguin Press

Published: 2014-05-29

Total Pages: 480

ISBN-13: 1594205221

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A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.


Mathematics and the Image of Reason

Mathematics and the Image of Reason

Author: Mary Tiles

Publisher: Routledge

Published: 2013-01-11

Total Pages: 210

ISBN-13: 1134967713

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A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic.


Rules, Magic and Instrumental Reason

Rules, Magic and Instrumental Reason

Author: Berel Dov Lerner

Publisher: Routledge

Published: 2013-12-16

Total Pages: 196

ISBN-13: 1136404929

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This book offers a systematic and critical discussion of Peter Winch's writings on the philosophy of the social sciences. The author points to Winch's tendency to over-emphasize the importance of language and communication, and his insufficient attention to the role of practical, technological activites in human life and society. It also offers an appendix devoted to the controversy between the anthropologists Marshall Sahlins and Gananath Obeyesekere regarding Captain James Cook's Hawaiian adventures. Essential reading for those studying the development of philosophy in the twentieth century, this book will also be of great interest to anthropologists, sociologists, scholars of religion, and all those with an interest in the relationship between philosophy and the social sciences.


Journey to the Edge of Reason: The Life of Kurt Gödel

Journey to the Edge of Reason: The Life of Kurt Gödel

Author: Stephen Budiansky

Publisher: W. W. Norton & Company

Published: 2021-05-11

Total Pages: 361

ISBN-13: 1324005459

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A New York Times Critics' Top Book of 2021 • A Booklist Top Ten Biography of 2021 • A Kirkus Reviews Best Science Book of 2021 The first major biography written for a general audience of the logician and mathematician whose Incompleteness Theorems helped launch a modern scientific revolution. Nearly a hundred years after its publication, Kurt Gödel’s famous proof that every mathematical system must contain propositions that are true—yet never provable—continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life. Stephen Budiansky’s Journey to the Edge of Reason is the first biography to fully draw upon Gödel’s voluminous letters and writings—including a never-before-transcribed shorthand diary of his most intimate thoughts—to explore Gödel’s profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It also offers an intimate portrait of the scientific and intellectual circles in prewar Vienna, a haunting account of Gödel’s and Jewish intellectuals’ flight from Austria and Germany at the start of the Second World War, and a vivid re-creation of the early days of the Institute for Advanced Study in Princeton, NJ, where Gödel and Einstein both worked. Eloquent and insightful, Journey to the Edge of Reason is a fully realized portrait of the odd, brilliant, and tormented man who has been called the greatest logician since Aristotle, and illuminates the far-reaching implications of Gödel’s revolutionary ideas for philosophy, mathematics, artificial intelligence, and man’s place in the cosmos.


Negative Math

Negative Math

Author: Alberto A. Martínez

Publisher: Princeton University Press

Published: 2006

Total Pages: 288

ISBN-13: 9780691123097

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Explores controversies in the history of numbers, especially the so-called negative and ''impossible'' numbers. This book uses history, puzzles, and lively debates to demonstrate how it is possible to devise new artificial systems of mathematical rules. It contends that departures from traditional rules can even be the basis for new applications.