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
BOOK REVIEW
BOOK REVIEW
BOOK REVIEW
A very welcome instance of philosophy that can help readers live a good life.
A teacher and scholar of Buddhism offers a formally varied account of the available rewards of solitude.
“As Mother Ayahuasca takes me in her arms, I realize that last night I vomited up my attachment to Buddhism. In passing out, I died. In coming to, I was, so to speak, reborn. I no longer have to fight these battles, I repeat to myself. I am no longer a combatant in the dharma wars. It feels as if the course of my life has shifted onto another vector, like a train shunted off its familiar track onto a new trajectory.” Readers of Batchelor’s previous books (Secular Buddhism: Imagining the Dharma in an Uncertain World, 2017, etc.) will recognize in this passage the culmination of his decadeslong shift away from the religious commitments of Buddhism toward an ecumenical and homegrown philosophy of life. Writing in a variety of modes—memoir, history, collage, essay, biography, and meditation instruction—the author doesn’t argue for his approach to solitude as much as offer it for contemplation. Essentially, Batchelor implies that if you read what Buddha said here and what Montaigne said there, and if you consider something the author has noticed, and if you reflect on your own experience, you have the possibility to improve the quality of your life. For introspective readers, it’s easy to hear in this approach a direct response to Pascal’s claim that “all of humanity's problems stem from man's inability to sit quietly in a room alone.” Batchelor wants to relieve us of this inability by offering his example of how to do just that. “Solitude is an art. Mental training is needed to refine and stabilize it,” he writes. “When you practice solitude, you dedicate yourself to the care of the soul.” Whatever a soul is, the author goes a long way toward soothing it.
A very welcome instance of philosophy that can help readers live a good life.Pub Date: Feb. 18, 2020
ISBN: 978-0-300-25093-0
Page Count: 200
Publisher: Yale Univ.
Review Posted Online: Nov. 24, 2019
Kirkus Reviews Issue: Dec. 15, 2019
BOOK REVIEW
If the authors are serious, this is a silly, distasteful book. If they are not, it’s a brilliant satire.
The authors have created a sort of anti-Book of Virtues in this encyclopedic compendium of the ways and means of power.
Everyone wants power and everyone is in a constant duplicitous game to gain more power at the expense of others, according to Greene, a screenwriter and former editor at Esquire (Elffers, a book packager, designed the volume, with its attractive marginalia). We live today as courtiers once did in royal courts: we must appear civil while attempting to crush all those around us. This power game can be played well or poorly, and in these 48 laws culled from the history and wisdom of the world’s greatest power players are the rules that must be followed to win. These laws boil down to being as ruthless, selfish, manipulative, and deceitful as possible. Each law, however, gets its own chapter: “Conceal Your Intentions,” “Always Say Less Than Necessary,” “Pose as a Friend, Work as a Spy,” and so on. Each chapter is conveniently broken down into sections on what happened to those who transgressed or observed the particular law, the key elements in this law, and ways to defensively reverse this law when it’s used against you. Quotations in the margins amplify the lesson being taught. While compelling in the way an auto accident might be, the book is simply nonsense. Rules often contradict each other. We are told, for instance, to “be conspicuous at all cost,” then told to “behave like others.” More seriously, Greene never really defines “power,” and he merely asserts, rather than offers evidence for, the Hobbesian world of all against all in which he insists we live. The world may be like this at times, but often it isn’t. To ask why this is so would be a far more useful project.
If the authors are serious, this is a silly, distasteful book. If they are not, it’s a brilliant satire.Pub Date: Sept. 1, 1998
ISBN: 0-670-88146-5
Page Count: 430
Publisher: Viking
Review Posted Online: May 19, 2010
Kirkus Reviews Issue: July 15, 1998
BOOK REVIEW
BOOK REVIEW
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