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THE WALTZ OF REASON

THE ENTANGLEMENT OF MATHEMATICS AND PHILOSOPHY

Sigmund delves into fascinating philosophical areas but delivers an overwhelming amount of information.

Philosophers and mathematicians don’t have much in common, right? A mathematician disagrees.

Sigmund, professor emeritus of mathematics at the University of Vienna and author of Exact Thinking in Demented Times, makes his case in nearly 400 pages of lucid prose. The author is a fine writer, but this is not Mathematics and Philosophy for Dummies; readers without a background in both may struggle. The first section “traces the evolution of the self-image of mathematics.” Evidence alone supports scientific laws; they can never be proven beyond a doubt. Not so with mathematics, but Sigmund’s explanations of mathematical proofs—dense with equations and diagrams—are not for the faint of heart. Surprisingly, proving that 1 + 1 = 2 is a complex operation. In the second section of the book, the author deals with chance, the continuum, and infinity, which goes beyond common sense and often vexes philosophers with problems such as “how an infinitesimal could be smaller than anything and yet not zero.” Beginning with the Enlightenment, mathematicians began stepping on philosophical toes by examining human behavior and institutions with often intriguing results. These occupy the book’s third and fourth sections and are more accessible. In the digital age, computers are the rage even for deep thinkers, and it’s become so difficult to maintain that computers are not intelligent that experts have moved the goalposts to maintain that they are not conscious. It turns out that humans are “utterly inept” at estimating probabilities, risks, and even fairness. Many Americans have no doubt that our winner-take-all voting system is superior, but it’s proven that all voting systems are unfair. Sigmund also examines irresistible areas such as game theory, probability, decisions, and the social contract, as well as parables such as the Prisoner’s Dilemma.

Sigmund delves into fascinating philosophical areas but delivers an overwhelming amount of information.

Pub Date: Dec. 19, 2023

ISBN: 9781541602694

Page Count: 448

Publisher: Basic Books

Review Posted Online: Sept. 20, 2023

Kirkus Reviews Issue: Oct. 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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ON FREEDOM

An incisive, urgently relevant analysis of—and call to action on—America’s foundational ideal.

An examination of how the U.S. can revitalize its commitment to freedom.

In this ambitious study, Snyder, author of On Tyranny, The Road to Unfreedom, and other books, explores how American freedom might be reconceived not simply in negative terms—as freedom from coercion, especially by the state—but positive ones: the freedom to develop our human potential within sustaining communal structures. The author blends extensive personal reflections on his own evolving understanding of liberty with definitions of the concept by a range of philosophers, historians, politicians, and social activists. Americans, he explains, often wrongly assume that freedom simply means the removal of some barrier: “An individual is free, we think, when the government is out of the way. Negative freedom is our common sense.” In his careful and impassioned description of the profound implications of this conceptual limitation, Snyder provides a compelling account of the circumstances necessary for the realization of positive freedom, along with a set of detailed recommendations for specific sociopolitical reforms and policy initiatives. “We have to see freedom as positive, as beginning from virtues, as shared among people, and as built into institutions,” he writes. The author argues that it’s absurd to think of government as the enemy of freedom; instead, we ought to reimagine how a strong government might focus on creating the appropriate conditions for human flourishing and genuine liberty. Another essential and overlooked element of freedom is the fostering of a culture of solidarity, in which an awareness of and concern for the disadvantaged becomes a guiding virtue. Particularly striking and persuasive are the sections devoted to eviscerating the false promises of libertarianism, exposing the brutal injustices of the nation’s penitentiaries, and documenting the wide-ranging pathologies that flow from a tax system favoring the ultrawealthy.

An incisive, urgently relevant analysis of—and call to action on—America’s foundational ideal.

Pub Date: Sept. 17, 2024

ISBN: 9780593728727

Page Count: 368

Publisher: Crown

Review Posted Online: June 25, 2024

Kirkus Reviews Issue: Aug. 1, 2024

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