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IS MATH REAL?

HOW SIMPLE QUESTIONS LEAD US TO MATHEMATICS' DEEPEST TRUTHS

For the budding mathematician in the house, to say nothing of lovers of puzzles and enigmas.

An abstract if oddly entertaining foray into the more philosophical realms of mathematics.

A noted popularizer of mathematics, Cheng, the author of Beyond Infinity and How To Bake Pi, works at the frontiers of the discipline in an arcane area “called category theory,” which “doesn’t involve numbers and equations at all.” If the thought of math without numbers makes your head hurt, the author’s latest book will be a constant challenge. Math is real, she tells us, in much the same way that Santa Claus is real: as an idea. Thus, as she puts it, it’s entirely possible that another idea can come into play, namely that 1 + 1 does not equal 2; the question then becomes not “What is 1” or “What is 2,” but instead, “What is a world in which 1 + 1 = 2?” Given that math, in concert with physics, admits the possibility of an infinite number of worlds, or dimensions, a world where 1 + 1 = 1 isn’t out of the question. Our world gives the answer of 2 because that’s the abstraction we agree on, just as we agree (for the most part) on the laws of logic—and that’s a key idea, for, as Cheng says brightly, “Mathematics is the logical study of how logical things work.” The strict rules of logic can, of course, make a person’s head hurt, too; one has only to think of Zeno’s paradox, wherein neither the tortoise nor the hare actually wins a race because “the sum doesn’t converge.” Some of the author’s examples take the form of equations, and while it helps to be numerate, the numerophobic shouldn’t shy away from digging in. Despite her provocative title, others are fun examples from the very real world, such as using a recipe for mayonnaise to discuss the process of commutativity.

For the budding mathematician in the house, to say nothing of lovers of puzzles and enigmas.

Pub Date: Aug. 15, 2023

ISBN: 9781541601826

Page Count: 336

Publisher: Basic Books

Review Posted Online: April 24, 2023

Kirkus Reviews Issue: May 15, 2023

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ROSE BOOK OF BIBLE CHARTS, MAPS AND TIME LINES

Worthwhile reference stuffed with facts and illustrations.

A compendium of charts, time lines, lists and illustrations to accompany study of the Bible.

This visually appealing resource provides a wide array of illustrative and textually concise references, beginning with three sets of charts covering the Bible as a whole, the Old Testament and the New Testament. These charts cover such topics as biblical weights and measures, feasts and holidays and the 12 disciples. Most of the charts use a variety of illustrative techniques to convey lessons and provide visual interest. A worthwhile example is “How We Got the Bible,” which provides a time line of translation history, comparisons of canons among faiths and portraits of important figures in biblical translation, such as Jerome and John Wycliffe. The book then presents a section of maps, followed by diagrams to conceptualize such structures as Noah’s Ark and Solomon’s Temple. Finally, a section on Christianity, cults and other religions describes key aspects of history and doctrine for certain Christian sects and other faith traditions. Overall, the authors take a traditionalist, conservative approach. For instance, they list Moses as the author of the Pentateuch (the first five books of the Hebrew Bible) without making mention of claims to the contrary. When comparing various Christian sects and world religions, the emphasis is on doctrine and orthodox theology. Some chapters, however, may not completely align with the needs of Catholic and Orthodox churches. But the authors’ leanings are muted enough and do not detract from the work’s usefulness. As a resource, it’s well organized, inviting and visually stimulating. Even the most seasoned reader will learn something while browsing.

Worthwhile reference stuffed with facts and illustrations.

Pub Date: Sept. 1, 2005

ISBN: 978-1-5963-6022-8

Page Count: -

Publisher: N/A

Review Posted Online: May 23, 2010

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THE MYTH OF SISYPHUS

AND OTHER ESSAYS

This a book of earlier, philosophical essays concerned with the essential "absurdity" of life and the concept that- to overcome the strong tendency to suicide in every thoughtful man-one must accept life on its own terms with its values of revolt, liberty and passion. A dreary thesis- derived from and distorting the beliefs of the founders of existentialism, Jaspers, Heldegger and Kierkegaard, etc., the point of view seems peculiarly outmoded. It is based on the experience of war and the resistance, liberally laced with Andre Gide's excessive intellectualism. The younger existentialists such as Sartre and Camus, with their gift for the terse novel or intense drama, seem to have omitted from their philosophy all the deep religiosity which permeates the work of the great existentialist thinkers. This contributes to a basic lack of vitality in themselves, in these essays, and ten years after the war Camus seems unaware that the life force has healed old wounds... Largely for avant garde aesthetes and his special coterie.

Pub Date: Sept. 26, 1955

ISBN: 0679733736

Page Count: 228

Publisher: Knopf

Review Posted Online: Sept. 19, 2011

Kirkus Reviews Issue: Sept. 1, 1955

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