Have you ever wondered about the minds behind the most profound mathematical discoveries? Paul Hoffman’s “The Man Who Loved Only Numbers: The Story of Paul Erdős and the Search for Mathematical Truth” offers a masterful biography, providing a vivid portrait of one of the 20th century’s most eccentric and influential mathematicians, Paul Erdős. This book isn’t just for math enthusiasts; it’s a fascinating look into a singular human being whose life was as unconventional as his genius.
Paul Erdős: The Wandering Monk of Mathematics
Erdős was, by all accounts, a unique individual, incomparable even among other singular men like Albert Einstein. He was a mathematical nomad, wandering the world and living primarily from the kindness of fellow mathematicians. Possessions meant little to him; he carried just a suitcase with a single change of clothes, considering private property a nuisance. His dedication to mathematics was absolute: he often thought about theorems, conjectures, and problems for as much as 18 to 20 hours a day, sometimes aided by amphetamines and coffee. His sole passion, religion, and goal in life was the solving of mathematical problems.
His eccentricities extended to his personal language: he called children “epsilons” (after the mathematical term for a small positive infinitesimal quantity), women “bosses,” men “slaves,” alcohol “poison,” and music “noise”. God was affectionately, or perhaps provocatively, referred to as “The Supreme Fascist” or “The S.F.,” the imagined owner of “The Book” where all elegant mathematical proofs reside.
Despite his seemingly unworldly focus, Erdős was a deeply compassionate and generous man. He gave away much of his meager income to charities, friends, and even panhandlers. He loved children and had a genius for setting each person, regardless of their level, the perfect problem to intrigue and stretch them. His life was a testament to the idea that knowledge doesn’t necessarily lead to material wealth or influence; he simply wouldn’t allow it.
A Pioneer of Mathematical Collaboration
One of the most remarkable aspects of Erdős’s career was his prolific collaboration. He co-authored over 1,400 to 1,500 published papers with more than 500 different people, a quantity of work matched only by the 18th-century mathematician Leonhard Euler. This collaborative style was so notorious that it led to the creation of the “Erdős number”: if you published a paper with him, your number is 1; if you published with someone who has an Erdős number of 1, yours is 2, and so on. Low numbers are highly sought after in the mathematical community. For Erdős, mathematics was always a social activity; he was generous with his ideas, prioritizing the solution of a problem over being the first to prove it himself.
Hoffman’s Skillful Narrative
Paul Hoffman, who knew and interviewed Erdős for about ten years, provides a clear and informative portrait of this unique individual. The book skillfully weaves together Erdős’s life story with accessible explanations of complex mathematical concepts, making it a layman’s guide to startling mathematical discoveries. Even for those who struggled with math in school, the book has a way of making the subject understandable and incredibly exciting. It introduces readers to the world of pure mathematics, its historical background, and the lives and psychology of many famous mathematicians beyond Erdős himself, such as Cantor, Fermat, Gauss, and Andrew Wiles.
While primarily focused on Erdős, the book also provides insight into the turbulent 20th-century history of Hungary and how political events impacted Erdős’s life and travel, especially as a Hungarian Jew affected by WWII and the Cold War.
A Balanced Perspective
Some readers note that while the book excels at portraying Erdős the man, Hoffman’s acknowledged lack of a strong mathematical background leads to a few minor “mathematical glitches” in his explanations, such as confusing “amicable numbers” with “friendly numbers” or describing non-Euclidean geometry. Others felt the book occasionally deviates from Erdős, including too many anecdotes about other mathematicians or focusing extensively on figures like Ron Graham. However, these are generally considered minor quibbles given the book’s overall success in humanizing Erdős and making his world accessible. The title, “The Man Who Loved Only Numbers,” might also be seen as slightly misleading, as Erdős was demonstrably a caring person interested in more than just numbers.
“The Man Who Loved Only Numbers” is an engaging and entertaining read. It’s a wonderful journey into the mind of a genius and the fascinating world of mathematics, showing how a life entirely devoted to an infinite field can be both profound and humorous. If you’re interested in an inspiring story about dedication, collaboration, and the sheer beauty of mathematical truth, even if you’re not a mathematician, this book is well worth picking up. It truly made me wish I had stuck with my math classes!
