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A Madman Dreams of Turing Machines Paperback – September 18, 2007

4.1 4.1 out of 5 stars 226 ratings

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Kurt Gödel’s Incompleteness Theorems sent shivers through Vienna’s intellectual circles and directly challenged Ludwig Wittgenstein’s dominant philosophy. Alan Turing’s mathematical genius helped him break the Nazi Enigma Code during WWII. Though they never met, their lives strangely mirrored one another—both were brilliant, and both met with tragic ends. Here, a mysterious narrator intertwines these parallel lives into a double helix of genius and anguish, wonderfully capturing not only two radiant, fragile minds but also the zeitgeist of the era.

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Editorial Reviews

Review

“Intelligent . . . compelling. . . . As Levin alternates between the lives of Turing and G?del, she delivers a convincing, palpably human portrait of solitary genius.” —The Philadelphia Inquirer“A simple work of genius.”—Toronto Globe & Mail“Her characters and their century come brilliantly . . . alive.” —The Los Angeles Times Book Review“Like a lyrical mash-up, Levin interweaves the personal narrative style of her first book with taut prose evocative of Alan Lightman's Einstein's Dreams.” —Seed Magazine

About the Author

Born in Texas and raised in Chicago, Janna Levin is currently a professor of mathematics and physics at Barnard and Columbia universities. She holds a Ph.D. from the Massachusetts Institute of Technology and has been Scientist-in-Residence at the Ruskin School of Drawing and Fine Art at the University of Oxford and an Advanced Fellow in the Department of Applied Mathematics and Theoretical Physics at Cambridge University. Levin is the author of How the Universe Got Its Spots, published in 2003 by Anchor.

Product details

  • Publisher ‏ : ‎ Anchor; 33149th edition (September 18, 2007)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 240 pages
  • ISBN-10 ‏ : ‎ 1400032407
  • ISBN-13 ‏ : ‎ 978-1400032402
  • Item Weight ‏ : ‎ 8.8 ounces
  • Dimensions ‏ : ‎ 5.16 x 0.64 x 7.98 inches
  • Customer Reviews:
    4.1 4.1 out of 5 stars 226 ratings

About the author

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Janna Levin
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I am an astrophysicist and writer. My favorite topics for research include black holes, the big bang, extra dimensions, and dark energy. These days I'm a professor of physics and astronomy at Barnard College of Columbia University in Manhattan. I'm also director of sciences at Pioneer Works, a center for art and ideas in Red Hook, Brooklyn. My latest book, Black Hole Blues and Other Songs from Outer Space, tracks the arduous campaign to detect gravitational waves. I hope you like it.

Customer reviews

4.1 out of 5 stars
226 global ratings

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Customers say

Customers find the book interesting and fun to read. They appreciate the creative exploration of epistemology through well-placed metafictional entries and allusions. The book portrays the characters with humanity, making them seem more relatable. However, opinions differ on the writing style - some find it beautifully written and sensitive, while others feel it's overwrought and wordy.

AI-generated from the text of customer reviews

23 customers mention "Book interest"23 positive0 negative

Customers find the book interesting and enjoyable. They say it has good stories and is a fun read. Readers also mention it's unusual, accessible, and surprising.

"...However, it does make for compelling narrative to peer into the lives of tortured geniuses consumed by their own big brains or whatever, and is an..." Read more

"...theorem without needing to know symbolic logic, and the explanation moves the story. A few style choices irked me...." Read more

"...She spins a wonderful tale of two men seeking truth in the world of mathematics...." Read more

"...Great read. I don't think this kind of writing roots as deeply in most physicists as it does in Levin...." Read more

10 customers mention "Narrative style"10 positive0 negative

Customers appreciate the narrative style. They find the book contextualizes discoveries and makes them more human. The creative exploration of epistemology is crafted around a factual lattice of events. While it's a book of heady ideas, it's also a humanizing ode. Readers appreciate the finely described embellished biographies of the most private parts of the lives of two most fascinating individuals.

"...are also very brief and well-placed metafictional entries and minute allusions that bring the author into the fold in a narrator-as-character manner..." Read more

"...That said, the subject matter of her novel is more than fascinating and so, the fact that her storytelling and craftsmanship as a writer is more..." Read more

"...This is a valuable reminder in an age of unprecendented dangers arising from political and religious absolutism." Read more

"Finely described embellished biographies of the most private parts of the lives of two most remarkable men...." Read more

6 customers mention "Intelligence"6 positive0 negative

Customers appreciate the book's intelligence. They find it thoughtful, insightful, and accessible. The author presents complex ideas without equations or technical details, making them understandable.

"...what I wanted to see carried out: a sensitive, detailed, intellectually astute and "literary" portrait of this far too underappreciated genius and..." Read more

"...One thing I love about Levin's style is how accessible she makes complicated ideas. She has a real gift for this...." Read more

"...Levin's novel is a creative exploration of epistemology, the problem of knowing...." Read more

"...Oddly, Levin seems to have a great mind for the sciences is also gifted with a deep understanding of literary conventions...." Read more

4 customers mention "Human characters"4 positive0 negative

Customers appreciate the characters' human qualities. They find the portrayal of these brilliant minds with humanity and intellectual dexterity makes them more relatable and meaningful.

"...It's intellectually dexterous in its portrayals of these brilliant and flawed figures...." Read more

"Blindingly brilliant minds are portrayed by Levin with such humanity that it feels like the closest thing to being in the room with them as they..." Read more

"Very good on the personalities of these 2 geniuses of twentieth century logic...." Read more

"...This book contextualizes their discoveries and so makes them more human and even more meaningful for me...." Read more

20 customers mention "Writing style"13 positive7 negative

Customers have different views on the writing style. Some find it beautifully written with vivid lyricism and compassion. They describe it as a nice literary tribute to two geniuses. However, others feel the writing is overwrought and wordy at times.

"...decadence; regularly supplanting ho-hum descriptions with a strikingly vivid lyricism through the conjuring of unusual imago-sensory crossbreeds..." Read more

"...and skilled in turning a single moment of the story into a soaring monument of poetry. What happened! Whatever happened it happened for the better...." Read more

"...ideas from Wittgenstein, Göedel and Turing, the author put together is absolutely interesting and makes nearly impossible for the reader not to..." Read more

"...and even the way they are presented together, but the writing is so overwrought, that I had a very hard time finishing it...." Read more

Top reviews from the United States

  • Reviewed in the United States on February 2, 2013
    I began writing a short story about Alan Turing last year. Despite a lengthy scribbled outline it remains a stunted opening gambit. After reading Janna Levin's A Madman Dreams of Turing Machines I really feel far less of a need to finish what I started, because she basically captured what I'd kept confined in my head, off the page. I still might finish it one day, but after reading David Leavitt's beautiful Turing biography (The Man Who Knew Too Much: Alan Turing and the Invention of the Computer) and this incredible historical fiction of Levin's I feel like they've jointly completed what I wanted to see carried out: a sensitive, detailed, intellectually astute and "literary" portrait of this far too underappreciated genius and his tragic decline.

    This is the historically-informed story of two 20th century intellectual giants, Alan Turing and Kurt Gödel. Other real life figures make supporting appearances such as Wittgenstein and Otto Neurath. There are also very brief and well-placed metafictional entries and minute allusions that bring the author into the fold in a narrator-as-character manner, as can be seen in the very (non-)beginning of the book:

    "There is no beginning. I've tried to invent one but it was a lie and I don't want to be a liar. This story will end where it began, in the middle. A triangle or a circle. A closed loop with three points.

    At one apex is a paranoid lunatic, at another is a lonesome outcast: Kurt Gödel, the greatest logician of many centuries; and Alan Turing, the brilliant code breaker and mathematician. Their genius is a testament to our worth, an antidote to insignificance; and their bounteous flaws are luckless but seemingly natural complements, as though greatness can be doled out only with an equal measure of weakness."

    The connection between mental illness and artistic and intellectual greatness is a long established cliché by this point and is probably far too often overstated via confirmation bias. There's a fantastic documentary called Dangerous Knowledge which focuses on four mathematicians and/or scientists who all grappled with hugely complex and difficult issues like the nature of the deepest structures of reality, infinity, human consciousness, free will v. determinism, etc, and all ended up killing themselves. Turing and Gödel are two of the four. There's an implication that it was their theories and obsessive intellectual aspirations that drove them to commit suicide, which I think is a rather flawed notion considering the facts and other plausible explanations. However, it does make for compelling narrative to peer into the lives of tortured geniuses consumed by their own big brains or whatever, and is an excellent sounding board for thinking about the pursuit of knowledge and its various costs and benefits. In any case, these are fascinating stories, and Turing's in particular I find the most captivating and tragic.

    Alan Turing's influence is felt hugely in the realm of computer science, cryptology, Artificial Intelligence and mathematical logic more generally. He's often credited as one of the single most important influences on the development of the modern computer--without Turing we may not be having this exchange of information right now. He also played a hugely instrumental role in cracking the German Naval Enigma Code in WWII with his tireless cryptology work and innovations in the field which allowed for a far more rapid decoding of the German transmissions that were quite literally matters of life or death. After the war he was arrested for admitting to having homosexual relationships to the police after he reported being burgled by a casual fling--arrested and prosecuted by the very same government he'd served and protected. Instead of going to prison he was chemically castrated. The regimen of huge doses of estrogen caused him to gain weight and grow breasts, fall into a chemical depression, and ultimately end his life by eating a cyanide-glazed apple, mimicking one of his favorite films, Snow White. Turing was persecuted to death. The British government has the blood of a genius (who saved them from further Axis-led destruction) on their hands. Only as recently as 2009 has the British government issued an official apology for this incident that occurred in 1952 (however the same government has rejected the proposal to posthumously pardon Turing of his "crimes"). It took the Roman Catholic Church 359 years to finally officially apologize for persecuting Galileo for positing that the Earth revolves around the sun, so perhaps this is the sign of a kind of progress, but it still all feels far too little, far too late.

    Kurt Gödel was a mathematician and logician (the distinction between the two starts to break down at a certain point) who famously constructed his Incompleteness Theorems, which I still have trouble explaining, because I'm a dummy when it comes to mathematics and formal logic (Gödel's Incompleteness Theorem For Dummies). I am truly ignorant about mathematical matters, but I can appreciate from my perch of acknowledged ignorance the allure of "the sanctity and purity of mathematics, the profound truth so completely immune to human stains." Gödel was also an absolute loon. He held a deep paranoid fear of being poisoned and as such rarely ate anything and only enough to keep his skeletal frame alive, and had elaborate rituals involving his wife's cooking. He was also a member of the famed Vienna Circle, a group of intellectuals who met weekly to discuss the tenets of their new unifying idealistic philosophy of Logical Positivism. Gödel, along with Wittgenstein, each in their own ways, aided in dismantling this group with their unorthodox ideas. There are great sections in this book where Gödel's proposed notions of "Incompleteness" cause a great uproar amongst those seeking complete unifying theories to knit all of reality together. Gödel lived much longer than Turing, but ultimately died by starving himself to death both out of his paranoid notions of being poisoned and for other sad and errant reasons: there's a passage in the book where Gödel delusionally claims that his refusal to eat is a proof of his free will, something he desperately wanted to believe in, along with the existence of an afterlife.

    Turing and Gödel never met, but they were certainly aware of each other's work and so the only way they collide in the book is in mentioning one another's ideas.

    Janna Levin is a physicist with a concentration in philosophy (her primary professional focus is cosmology but she had formal focus on philosophy as well, and I think it shows) yet on the stylistic level her writing is fantastic and surely shames huge numbers of authors who've workshopped their way through MFAs and maybe even published for years and years, while narrowly focused on literary fiction and nothing else. Janna Levin churns out steadily captivating prose that soars richly and exultantly without succumbing to a plummeted decadence; regularly supplanting ho-hum descriptions with a strikingly vivid lyricism through the conjuring of unusual imago-sensory crossbreeds that dance across the neural pathways with pleasantly assured aplomb.

    The book is thoroughly researched as the notes provided at the back of the book further prove. It's intellectually dexterous in its portrayals of these brilliant and flawed figures. The subjects (and the sort of human beings most tightly latched upon them) that are classically conceived of as cold and cerebral and arrogantly cocksure are sensitively imbued with the squirming life and heat of fallibility, frailty, confusion, and the portrayal of the true scientific spirit, where truth is provisional, and self-doubt and self-interrogation are constant companions.

    While this is a book of heady ideas, it's also a humanizing ode. The sections on Turing especially tugged the heartstrings. He was an odd but deeply sympathetic person. There are gripping descriptions of London being bombed by the German Luftwaffe, of Alan's loneliness and tragic loss of his one true love as a schoolboy, and multiple gorgeous sections about the interconnectivity of things that just need to be read to be felt.

    Both Turing and Gödel chased after the Truth with great fervor accompanied by great doubt. This classic yearning for the Truth of All Truths is maybe something many can easily set aside as not worth wasting time over when there is a more pressing desire for the Pursuit of Happiness on offer. I myself have often done this and will continue to do it. Hitting a wall where I no longer hunger for deep abstract truths about the nature of consciousness or reality or death, etc. But the desire never fully cools either. Also, even if one doesn't care at all about such cliché or high-minded foolishness, everyone knows what it's like to yearn strongly for something Ideal, be it Romantic Love or the Perfect Career or the Perfect Artistic Creation and so on. As Olga Neurath says to Gödel about her and her husband finally accepting his Incompleteness Theorem:

    "Your incompleteness theorem was hard for him to accept. It was hard for all of us, for every mathematician alive. But then Moritz always knew that it did not matter what he believed. What matters is the truth. And somehow you found it hidden where none of us could see. We all came to realize that mathematics is still flawless--no paradoxes, contradictions--just some truths that cannot be proven. Not so bad. We can live with that. He could live with that. [...] I myself worried from the start. Kurt, you worried us. It was hard for us for a time, to be sure. If not even arithmetic is complete, then what could we hope for from out philosophies, from our sciences, from the very things that were to be our salvation? The buoys that we clung--perhaps, I would admit now, with too much desperation--were taken away. [...] And here we are again with our hopes being crushed. I used to believe that when I was older I would come to some kind of conclusion, some calming resolution, and then the restlessness would end. I would know something definitive and questions would fade. But that will never happen. [...] We wanted to construct complete worldviews, complete and consistent theories and philosophies, perfect solutions where everything could find its place. But we cannot. The girls I hear playing in the park when I walk to the institute, our neighbor the old woman who will die soon, our own circle, we all prize a resolution, a gratifying ending, completeness and unity, but we are surrounded by incompleteness.

    So I think that reading about the pursuit of Truth can still be moving and redemptive and nourishing for those who do not currently or never have really put much value on it. And then the journey becomes more valuable than the destination, as the ol' cliché reminds us.
    19 people found this helpful
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  • Reviewed in the United States on February 8, 2017
    Levin brings ghosts back to life in this page turner (or left swiper) of a book. I am left haunted thinking about how gentler (and more productive) their lives would have been if they had lived today.

    One thing I love about Levin's style is how accessible she makes complicated ideas. She has a real gift for this. Although the primary subjects are mathematicians, the book presents their big ideas without equations or technical details. You will understand the incompleteness theorem without needing to know symbolic logic, and the explanation moves the story.

    A few style choices irked me. For example, the repeated use of the German word "Strasse" when "street" would have been just fine. These are petty criticisms of an excellent book, but I found them annoying enough to deduct 1/2 star.
    7 people found this helpful
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  • Reviewed in the United States on March 15, 2008
    Although Levin is an amazing physicist, her first foray into the world of literary fiction is, on first read, not so amazing. That said, the subject matter of her novel is more than fascinating and so, the fact that her storytelling and craftsmanship as a writer is more than lacking at the beginning of the book, the story sells itself as a tour de force in its fictionalization of the lives of two geniuses who struggle with a deep awkwardness with life.
    At the beginning of the book the prose is almost a torture to read: some times overwrought,
    'While they continue to play an anomalously quiet game, the pit of dread is jostled and falls deep into the fertile gastrointestinal soil where it begins its life cycle. Will it fester as an ulcer, or blossom into rancid abnormal cells? That depends on how each chooses to tend that messy garden';
    and at other times over the top,
    'The iron frame of Kurt's bed was a brutal conductor of the chill singeing his hand so sharply as he hoisted himself awake this morning that it might as well have left a burn, and the cloud of condensation that escaped from his damp mouth could have been smoke'.
    The narration changes from past tense to present tense in the same paragraph! While her prose changes drastically for the better midway through the book, this irritating tendency to write a single scene as happening in the past as well as in the present continues unabated.
    But, amazingly, halfway into the book it seems as if another Levin is writing the book. A Levin who is confident in her craft and skilled in turning a single moment of the story into a soaring monument of poetry. What happened! Whatever happened it happened for the better. Levin takes command of her themes and infuses them into poetic states throughout the character's events. The most striking example of the preceding can be found on pages 138-9. Levin takes an ambitious but dangerous chance at explaining the event that informs a young Wittgenstein's philosophy. While she humbly admits that this something of Wittgenstein is the unspeakable that 'we must pass over in silence' from his Tractatus, she dares to speak to that silence and she actually makes it reveal itself to the reader.
    The moments like that in the story pay of with dividends which have the effect of apologizing for the early writing of an amateur.
    43 people found this helpful
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  • Gorter
    5.0 out of 5 stars Gödel, Turiner...
    Reviewed in Germany on June 5, 2024
    👍
  • KelleyRC
    4.0 out of 5 stars Great read
    Reviewed in Canada on April 18, 2021
    A great story about two geniuses that continued to surprise me
  • S. Gray
    3.0 out of 5 stars Wasn't my best read....
    Reviewed in the United Kingdom on September 2, 2018
    While I was interested in the subject, unlike other authors, I just found it a bit hard to keep reading it or engrossed. Could be subjective of course, but I'll probably never re-read this sadly...
  • Lucy Kitt
    4.0 out of 5 stars Innovative
    Reviewed in the United Kingdom on May 7, 2012
    This is a great book. It focuses not only on the tragic Alan Turing but also on 30s Vienna. Part biography and part fiction this is an erudite and highly challenging novel I can't recommend enough.
  • Dr. T.
    3.0 out of 5 stars Episoden aus dem Leben zweier ungewöhnlicher Mathematiker
    Reviewed in Germany on May 22, 2016
    Zu Beginn des 20. Jahrhunderts einwickelte David Hilbert sein Programm zur vollständigen Formalisierung der Mathematik, u.a. in der Hoffnung, ihre Widerspruchsfreiheit streng beweisen zu können. Völlig überraschend fand Kurt Gödel 1931 ein unüberwindliches Hindernis, indem er zeigen konnte, das ein formales System, dass wenigsten so reichhaltig ist, dass die Arithmetik darin formuliert werden kann, notwendigerweise unvollständig ist – in dem Sinn, dass es einen richtigen Satz enthält, der weder formal abgeleitet noch widerlegt werden kann. Inspiriert durch Gödels Methode verfasste Alan Turing 1936 seine Arbeit 'On computable numbers, with an application to the Entscheidungsproblem', die zeigte, dass es algorithmisch nicht lösbare Probleme gibt. Um den Begriff der algorithmischen Lösbarkeit präzise fassen zu können, entwarf er einfache Maschinen – die später nach ihm benannt wurden –, von denen er bewies, dass sie in gewisser Hinsicht universell sind.

    Die Ergebnisse beider Mathematiker beschrieben bisher völlig unbekannte Limits im Herzen der Mathematik, beide hatten aber auch zeitlebens ernsthafte psychische Probleme. Janna Levins Buch erzählt zeitlich breit gestreute Episoden aus dem Leben dieser beiden 'madmen'; die Geschichten umspannen sowohl die Zeiten ihre großen Entdeckungen, als auch die des Todes der beiden Protagonisten, Gödel 1978 und Turing 1954. Die Autorin erzählt sehr eindrücklich, versucht unaufdringlich den Hintergründen der Problem der beiden Genies mit dem 'normalen' Leben nachzuspüren; wiewohl ihre Arbeiten erwähnt werden, erfährt der Leser der Leser darüber aber nicht viele mehr, als in der obigen Zusammenfassung angedeutet.

    Levin greift auch gelegentlich in persönlicher Rede in die Handlung ein, etwa um die Auswahl der Episoden zu 'rechtfertigen' – sie beschreibt die Dinge, wie sie sich ihr aufgedrängt haben – bewusst ohne rechten Einstieg und einem Ende ohne Fazit. Dabei ist die Sicht der Autorin interessant, ihr Stil flüssig und kurzweilig – eine wissenschaftliche Biographie hat sie nie beabsichtigt.

    Trotzdem bleiben die erzählten Geschichten eher zufällig, beiläufig. Wer mehr über die Interpretation von Gödels und Turings Ergebnissen in allgemein verständlicher Weise erfahren möchte, sein etwa auf Roger Penrose 'The emporer's new mind' (dt. Ausgabe 'Computerdenken') verwiesen.
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