Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot.

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

The smartphones in our pockets and computers like brains. The vagaries of game theory and evolutionary biology. Nuclear weapons and self-replicating spacecrafts. All bear the fingerprints of one remarkable, yet largely overlooked, man: John von Neumann.

Why we think it’s a great listen: You thought he was a stodgy scientist with funny hair, but Isaacson and Hermann reveal an eloquent, intense, and selfless human being who not only shaped science with his theories, but politics and world events in the 20th century as well. Based on the newly released personal letters of Albert Einstein, Walter Isaacson explores how an imaginative, impertinent patent clerk became the mind reader of the creator of the cosmos.

In 1942, a team at the University of Chicago achieved what no one had before: a nuclear chain reaction. At the forefront of this breakthrough stood Enrico Fermi. Straddling the ages of classical physics and quantum mechanics, equally at ease with theory and experiment, Fermi truly was the last man who knew everything - at least about physics. But he was also a complex figure who was a part of both the Italian Fascist Party and the Manhattan Project, and a less-than-ideal father and husband who nevertheless remained one of history's greatest mentors.

Written by two world-renowned sleep and dream researchers, When Brains Dream debunks common myths while acknowledging the mysteries that persist around both the science and experience of dreaming.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the 17th-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it.

Virtual reality is genuine reality; that’s the central thesis of Reality+. In a highly original work of “technophilosophy,” David J. Chalmers gives a compelling analysis of our technological future. He argues that virtual worlds are not second-class worlds, and that we can live a meaningful life in virtual reality. We may even be in a virtual world already.

Asked to name a great physicist, most people would mention Newton or Einstein, Feynman or Hawking. But ask a physicist and there’s no doubt that James Clerk Maxwell will be near the top of the list. Maxwell, an unassuming Victorian Scotsman, explained how we perceive color. He uncovered the way gases behave. And, most significantly, he transformed the way physics was undertaken in his explanation of the interaction of electricity and magnetism, revealing the nature of light and laying the groundwork for everything from Einstein’s special relativity to modern electronics.

There may never be another era of science like the first half of the twentieth century, when many of the most important physicists ever to live—Marie Curie, Max Planck, Wolfgang Pauli, Niels Bohr, Werner Heisenberg, Ernst Schrödinger, Albert Einstein, and others—came together to uncover the quantum world: a concept so outrageous and shocking, so contrary to traditional physics, that its own founders rebelled against it until the equations held up and fundamentally changed our understanding of reality. Tobias Hürter takes us back to this uniquely momentous and harrowing time.

Paul Dirac was among the great scientific geniuses of the modern age. One of the discoverers of quantum mechanics, the most revolutionary theory of the past century, his contributions had a unique insight, eloquence, clarity, and mathematical power. His prediction of antimatter was one of the greatest triumphs in the history of physics.

Claude Shannon was a tinkerer, a playful wunderkind, a groundbreaking polymath, and a digital pioneer whose insights made the Information Age possible. He constructed fire-breathing trumpets and customized unicycles, outfoxed Vegas casinos, and built juggling robots, but he also wrote the seminal text of the Digital Revolution. That work allowed scientists to measure and manipulate information as objectively as any physical object. His work gave mathematicians and engineers the tools to bring that world to pass.

Why can humans alone invent? In The Pattern Seekers, Cambridge University psychologist Simon Baron-Cohen makes a case that autism is as crucial to our creative and cultural history as the mastery of fire. Indeed, Baron-Cohen argues that autistic people have played a key role in human progress for 70,000 years, from the first tools to the digital revolution. How? Because the same genes that cause autism enable the pattern seeking that is essential to our species' inventiveness.

The Mongol army led by Genghis Khan subjugated more lands and people in 25 years than the Romans did in 400. In nearly every country the Mongols conquered, they brought an unprecedented rise in cultural communication, expanded trade, and a blossoming of civilization.

When he died in 1930 aged 26, Frank Ramsey had already invented one branch of mathematics and two branches of economics, laying the foundations for decision theory and game theory. Keynes deferred to him; he was the only philosopher whom Wittgenstein treated as an equal. Had he lived he might have been recognized as the most brilliant thinker of the century. This amiable shambling bear of a man was an ardent socialist, a believer in free love, and an intimate of the Bloomsbury set. For the first time Cheryl Misak tells the full story of his extraordinary life.

Derek Parfit (1942–2017) is the most famous philosopher most people have never heard of. Widely regarded as one of the greatest moral thinkers of the past hundred years, Parfit was anything but a public intellectual. Yet his ideas have shaped the way philosophers think about things that affect us all: equality, altruism, what we owe to future generations, and even what it means to be a person. In Parfit, David Edmonds presents the first biography of an intriguing, obsessive, and eccentric genius.

Norman Lebrecht has devoted half of his life to pondering and researching the mindset of the Jewish intellectuals, writers, scientists, and thinkers who turned the tides of history and shaped the world today as we know it. In Genius & Anxiety, Lebrecht begins with the Communist Manifesto in 1847 and ends in 1947, when Israel was founded. This robust, magnificent volume, beautifully designed, is an urgent and necessary celebration of Jewish genius and contribution.

Friedrich Engels is one of the most intriguing and contradictory figures of the 19th century. Born to a prosperous Prussian mercantile family, he spent his life working in the Manchester cotton industry, riding to the Cheshire hounds, and enjoying the comfortable upper-middle-class existence of a Victorian gentleman.

The year is 1919. The horror of the First World War is fresh for the protagonists of Time of the Magicians, each of whom finds himself at a crucial juncture. Benjamin is trying to flee his overbearing father and floundering in his academic career, living hand to mouth as a critic. Wittgenstein, by contrast, has dramatically decided to divest himself of the monumental fortune he stands to inherit, in search of spiritual clarity.

Paul Dirac was among the great scientific geniuses of the modern age. One of the discoverers of quantum mechanics, the most revolutionary theory of the past century, his contributions had a unique insight, eloquence, clarity, and mathematical power. His prediction of antimatter was one of the greatest triumphs in the history of physics.

Denis Diderot is often associated with the decades-long battle to bring the world's first comprehensive Encyclopedie into existence. But his most daring writing took place in the shadows. Thrown into prison for his atheism in 1749, Diderot decided to reserve his best books for posterity - for us, in fact. In the astonishing cache of unpublished writings left behind after his death, Diderot challenged virtually all of his century's accepted truths, from the sanctity of monarchy, to the racial justification of the slave trade, to the norms of human sexuality.

Hardly a club in the conventional sense, the organization referred to in the title of this superb literary hybrid (part history, part biography, part philosophy) consisted of four members and probably existed for less than nine months.

Few recognize how the Great War, the industrialized slaughter that bled Europe from 1914 to 1918, shaped Einstein’s life and work. While Einstein never held a rifle, he formulated general relativity blockaded in Berlin, literally starving. He lost 50 pounds in three months, unable to communicate with his most important colleagues. Some of those colleagues fought against rabid nationalism; others were busy inventing chemical warfare - scientists trapped in the power plays of empire. Meanwhile, Einstein struggled to craft relativity and persuade the world that it was correct.

From the creation of the first encyclopedia to Wikipedia, from ancient museums to modern kindergarten classes—this is Simon Winchester’s brilliant and all-encompassing look at how humans acquire, retain, and pass on information and data, and how technology continues to change our lives and our minds. Throughout this fascinating tour, Winchester forces us to ponder what rational humans are becoming. What good is all this knowledge if it leads to lack of thought? What is information without wisdom?

John Tresch offers a bold new biography of a writer whose short, tortured life continues to fascinate. Shining a spotlight on an era when the lines separating entertainment, speculation, and scientific inquiry were blurred, Tresch reveals Poe's obsession with science and lifelong ambition to advance and question human knowledge. He remained an avid and often combative commentator on new discoveries, publishing and hustling in literary scenes that also hosted the era's most prominent scientists, semi-scientists, and pseudo-intellectual rogues.

The history of European philosophy is usually constructed from the work of men. In Metaphysical Animals, a pioneering group biography, Clare Mac Cumhaill and Rachael Wiseman offer a compelling alternative. In the mid-twentieth century Elizabeth Anscombe, Mary Midgley, Philippa Foot, and Iris Murdoch were philosophy students at Oxford when most male undergraduates and many tutors were conscripted away to fight in the Second World War. Together, these young women, all friends, developed a philosophy that could respond to the war’s darkest revelations.

Holmes twice escaped death as a young Union officer in the Civil War when musket balls barely missed his heart and spinal cord. He lived ever after with unwavering moral courage, scorn for dogma, and an insatiable intellectual curiosity. Named to the Supreme Court by Theodore Roosevelt at age 61, he served for nearly three decades, writing a series of famous, eloquent, and often dissenting opinions that would prove prophetic in securing freedom of speech, protecting the rights of criminal defendants, and ending the Court's reactionary resistance to social and economic reforms.

Drawn from the Royal archives, including Prince Albert’s voluminous correspondence, this brilliant and ambitious book offers fascinating never-before-known details about the man and his time. A superb match of biographer and subject, Prince Albert, at last, gives this important historical figure the reverence and recognition that is long overdue.

Jane Addams's memoir of her experience running a settlement house on Chicago's West Side includes portraits of people in need and is a model for community service. Addams firmly believed that education and social activity were essential aspects of any program to turn lives around.

Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

In Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics.

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.

Analogy is the core of all thinking. This is the simple but unorthodox premise that Pulitzer Prize-winning author Douglas Hofstadter and French psychologist Emmanuel Sander defend in their new work. Hofstadter has been grappling with the mysteries of human thought for over 30 years. Now, with his trademark wit and special talent for making complex ideas vivid, he has partnered with Sander to put forth a highly novel perspective on cognition.

In Calculating the Cosmos, Ian Stewart presents an exhilarating guide to the cosmos, from our solar system to the entire universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.

Holmes twice escaped death as a young Union officer in the Civil War when musket balls barely missed his heart and spinal cord. He lived ever after with unwavering moral courage, scorn for dogma, and an insatiable intellectual curiosity. Named to the Supreme Court by Theodore Roosevelt at age 61, he served for nearly three decades, writing a series of famous, eloquent, and often dissenting opinions that would prove prophetic in securing freedom of speech, protecting the rights of criminal defendants, and ending the Court's reactionary resistance to social and economic reforms.

The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress - and also when it did not, because science was being stifled by militarism or religious fanaticism.

Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot.

Behind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. This is the theory that has permitted the rapid development of all sorts of communication, from color television to the clear transmission of photographs from the vicinity of Jupiter. Even more revolutionary progress is expected in the future.