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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: N/A

Review Posted Online: April 24, 2023

Kirkus Reviews Issue: May 15, 2023

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ELON MUSK

Alternately admiring and critical, unvarnished, and a closely detailed account of a troubled innovator.

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A warts-and-all portrait of the famed techno-entrepreneur—and the warts are nearly beyond counting.

To call Elon Musk (b. 1971) “mercurial” is to undervalue the term; to call him a genius is incorrect. Instead, Musk has a gift for leveraging the genius of others in order to make things work. When they don’t, writes eminent biographer Isaacson, it’s because the notoriously headstrong Musk is so sure of himself that he charges ahead against the advice of others: “He does not like to share power.” In this sharp-edged biography, the author likens Musk to an earlier biographical subject, Steve Jobs. Given Musk’s recent political turn, born of the me-first libertarianism of the very rich, however, Henry Ford also comes to mind. What emerges clearly is that Musk, who may or may not have Asperger’s syndrome (“Empathy did not come naturally”), has nurtured several obsessions for years, apart from a passion for the letter X as both a brand and personal name. He firmly believes that “all requirements should be treated as recommendations”; that it is his destiny to make humankind a multi-planetary civilization through innovations in space travel; that government is generally an impediment and that “the thought police are gaining power”; and that “a maniacal sense of urgency” should guide his businesses. That need for speed has led to undeniable successes in beating schedules and competitors, but it has also wrought disaster: One of the most telling anecdotes in the book concerns Musk’s “demon mode” order to relocate thousands of Twitter servers from Sacramento to Portland at breakneck speed, which trashed big parts of the system for months. To judge by Isaacson’s account, that may have been by design, for Musk’s idea of creative destruction seems to mean mostly chaos.

Alternately admiring and critical, unvarnished, and a closely detailed account of a troubled innovator.

Pub Date: Sept. 12, 2023

ISBN: 9781982181284

Page Count: 688

Publisher: Simon & Schuster

Review Posted Online: Sept. 12, 2023

Kirkus Reviews Issue: Oct. 15, 2023

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THE 48 LAWS OF POWER

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

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