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The Waltz of Reason

The Waltz of Reason PDF Author: Karl Sigmund
Publisher: Basic Books
ISBN: 1541602706
Category : Mathematics
Languages : en
Pages : 346

Book Description
"A mind-bending jaunt ... that makes clear in fascinating detail how math is more than a sum of its parts" (Publishers Weekly) “Let no one ignorant of geometry enter here,” Plato warned would-be philosophers. Mathematician Karl Sigmund agrees. In The Waltz of Reason, he shows how mathematics and philosophy together have shaped our understanding of space, chance, logic, cooperation, voting, and the social contract. Sigmund shows how game theory is integral to moral philosophy, how statistics shaped the meaning of reason, and how the search for a logical basis for math leads to deep questions about the nature of truth itself. But this is no dry tome: Sigmund’s wit and humor shine as brightly as his erudition. The Waltz of Reason is an engrossing history of ideas as vibrant as a ballroom full of dancers, one that empowers as it entertains, following the complex and occasionally dizzying steps of the thinkers who have molded our thought and founded our world.

The Waltz of Reason

The Waltz of Reason PDF Author: Karl Sigmund
Publisher: Basic Books
ISBN: 1541602706
Category : Mathematics
Languages : en
Pages : 346

Book Description
"A mind-bending jaunt ... that makes clear in fascinating detail how math is more than a sum of its parts" (Publishers Weekly) “Let no one ignorant of geometry enter here,” Plato warned would-be philosophers. Mathematician Karl Sigmund agrees. In The Waltz of Reason, he shows how mathematics and philosophy together have shaped our understanding of space, chance, logic, cooperation, voting, and the social contract. Sigmund shows how game theory is integral to moral philosophy, how statistics shaped the meaning of reason, and how the search for a logical basis for math leads to deep questions about the nature of truth itself. But this is no dry tome: Sigmund’s wit and humor shine as brightly as his erudition. The Waltz of Reason is an engrossing history of ideas as vibrant as a ballroom full of dancers, one that empowers as it entertains, following the complex and occasionally dizzying steps of the thinkers who have molded our thought and founded our world.

A Most Elegant Equation

A Most Elegant Equation PDF Author: David Stipp
Publisher: Basic Books
ISBN: 0465093787
Category : Mathematics
Languages : en
Pages : 240

Book Description
An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbers 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. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

The Artist and the Mathematician

The Artist and the Mathematician PDF Author: Amir D Aczel
Publisher: Basic Books
ISBN: 0786732881
Category : Mathematics
Languages : en
Pages : 258

Book Description
Nicolas Bourbaki, whose mathematical publications began to appear in the late 1930s and continued to be published through most of the twentieth century, was a direct product as well as a major force behind an important revolution that took place in the early decades of the twentieth century that completely changed Western culture. Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century -- both in mathematics and in other areas -- were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke -- because Bourbaki, one of the foremost mathematicians of his day -- never existed.

Games of Life

Games of Life PDF Author: Karl Sigmund
Publisher: Courier Dover Publications
ISBN: 0486824802
Category : Science
Languages : en
Pages : 272

Book Description
Accessible, informative, and enjoyable treatment discusses the application of the ideas and methods of game theory and mathematical modeling to such areas as evolution, sex, animal behavior, and aggression. "Excellent." — Nature

The Art of Logic in an Illogical World

The Art of Logic in an Illogical World PDF Author: Eugenia Cheng
Publisher: Basic Books
ISBN: 154167250X
Category : Mathematics
Languages : en
Pages : 321

Book Description
How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.

Screams of Reason

Screams of Reason PDF Author: David J. Skal
Publisher: W. W. Norton & Company
ISBN: 9780393045826
Category : Horror films
Languages : en
Pages : 380

Book Description
From the author of "Hollywood Gothic" and "The Monster Show" comes the definitive book on the men in white coats who haunt our technological dreams and nightmares: mad scientists. 100 photos. College lectures.

The Calculus of Selfishness

The Calculus of Selfishness PDF Author: Karl Sigmund
Publisher: Princeton University Press
ISBN: 0691171084
Category : Business & Economics
Languages : en
Pages : 184

Book Description
This volume looks at social dilemmas where cooperative motivations are subverted and self-interest becomes self-defeating. Sigmund, a pioneer in evolutionary game theory, uses simple and well-known game theory models to examine the foundations of collective action and the effects of reciprocity and reputation.

Everything Happens for a Reason

Everything Happens for a Reason PDF Author: Kate Bowler
Publisher: Random House
ISBN: 0399592075
Category : Biography & Autobiography
Languages : en
Pages : 208

Book Description
NEW YORK TIMES BESTSELLER • “A meditation on sense-making when there’s no sense to be made, on letting go when we can’t hold on, and on being unafraid even when we’re terrified.”—Lucy Kalanithi “Belongs on the shelf alongside other terrific books about this difficult subject, like Paul Kalanithi’s When Breath Becomes Air and Atul Gawande’s Being Mortal.”—Bill Gates NAMED ONE OF THE BEST BOOKS OF THE YEAR BY REAL SIMPLE Kate Bowler is a professor at Duke Divinity School with a modest Christian upbringing, but she specializes in the study of the prosperity gospel, a creed that sees fortune as a blessing from God and misfortune as a mark of God’s disapproval. At thirty-five, everything in her life seems to point toward “blessing.” She is thriving in her job, married to her high school sweetheart, and loves life with her newborn son. Then she is diagnosed with stage IV colon cancer. The prospect of her own mortality forces Kate to realize that she has been tacitly subscribing to the prosperity gospel, living with the conviction that she can control the shape of her life with “a surge of determination.” Even as this type of Christianity celebrates the American can-do spirit, it implies that if you “can’t do” and succumb to illness or misfortune, you are a failure. Kate is very sick, and no amount of positive thinking will shrink her tumors. What does it mean to die, she wonders, in a society that insists everything happens for a reason? Kate is stripped of this certainty only to discover that without it, life is hard but beautiful in a way it never has been before. Frank and funny, dark and wise, Kate Bowler pulls the reader deeply into her life in an account she populates affectionately with a colorful, often hilarious retinue of friends, mega-church preachers, relatives, and doctors. Everything Happens for a Reason tells her story, offering up her irreverent, hard-won observations on dying and the ways it has taught her to live. Praise for Everything Happens for a Reason “I fell hard and fast for Kate Bowler. Her writing is naked, elegant, and gripping—she’s like a Christian Joan Didion. I left Kate’s story feeling more present, more grateful, and a hell of a lot less alone. And what else is art for?”—Glennon Doyle, #1 New York Times bestselling author of Love Warrior and president of Together Rising

Celestial Mechanics

Celestial Mechanics PDF Author: Alessandra Celletti
Publisher: Springer Science & Business Media
ISBN: 0387685774
Category : Science
Languages : en
Pages : 277

Book Description
The aim of this book is to demonstrate to a wider audience, as well as to a more skilled audience, the many fascinating aspects of modern celestial mechanics. It sets out to do this without the use of mathematics. After giving the reader the technical tools needed for a basic understanding of the underlying physical phenomena (using only elementary mathematics), facts and figures are provided on historical events, modern discoveries and future applications. Contents are divided into major topics where the three "souls" of modern celestial mechanics (dynamical systems, Solar System and stellar systems, spaceflight dynamics) play a major role.

Exact Thinking in Demented Times

Exact Thinking in Demented Times PDF Author: Karl Sigmund
Publisher: Basic Books
ISBN: 0465096964
Category : Philosophy
Languages : en
Pages : 480

Book Description
A dazzling group biography of the early twentieth-century thinkers who transformed the way the world thought about math and science Inspired by Albert Einstein's theory of relativity and Bertrand Russell and David Hilbert's pursuit of the fundamental rules of mathematics, some of the most brilliant minds of the generation came together in post-World War I Vienna to present the latest theories in mathematics, science, and philosophy and to build a strong foundation for scientific investigation. Composed of such luminaries as Kurt Gö and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science. Exact Thinking in Demented Times tells the often outrageous, sometimes tragic, and never boring stories of the men who transformed scientific thought. A revealing work of history, this landmark book pays tribute to those who dared to reinvent knowledge from the ground up.