Nearly a hundred years after its publication, Kurt Gödel's famous proof that every mathematical system must contain propositions that are true - yet never provable - continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.

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.

On June 22, 1936, the philosopher Moritz Schlick was on his way to deliver a lecture at the University of Vienna when Johann Nelböck, a deranged former student of Schlick's, shot him dead on the university steps. Some Austrian newspapers defended the madman, while Nelböck himself argued in court that his onetime teacher had promoted a treacherous Jewish philosophy. David Edmonds traces the rise and fall of the Vienna Circle - an influential group of brilliant thinkers led by Schlick.

A paradigm-shifting work that revolutionizes our understanding of the origins and structure of science.

Two of the boldest and most creative scientists of all time were Michael Faraday (1791-1867) and James Clerk Maxwell (1831-1879). This is the story of how these two men - separated in age by 40 years - discovered the existence of the electromagnetic field and devised a radically new theory which overturned the strictly mechanical view of the world that had prevailed since Newton's time.

The Metaphysical Club was an informal group that met in Cambridge, Massachusetts, in 1872, to talk about ideas. Its members included Oliver Wendell Holmes, Jr., future associate justice of the United States Supreme Court; William James, the father of modern American psychology; and Charles Sanders Peirce, logician, scientist, and the founder of semiotics. The Club was probably in existence for about nine months. No records were kept. The one thing we know that came out of it was an idea - an idea about ideas. This book is the story of that idea.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.

Vividly written, The Infidel and the Professor is a compelling account of a great friendship of two towering Enlightenment thinkers that had great consequences for modern thought. David Hume is widely regarded as the most important philosopher ever to write in English, but during his lifetime, he was attacked as "the Great Infidel" for his skeptical religious views and deemed unfit to teach the young. In contrast, Adam Smith was a revered professor of moral philosophy and is now often hailed as the founding father of capitalism.

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.

Most historians study the smallest slivers of time, emphasizing specific dates, individuals, and documents. But what would it look like to study the whole of history, from the big bang through the present day - and even into the remote future? How would looking at the full span of time change the way we perceive the universe, the earth, and our very existence? These were the questions David Christian set out to answer when he created the field of "Big History", the most exciting new approach to understanding where we have been, where we are, and where we are going.

Considered to be one of the most important philosophical works of all time, the History of Western Philosophy is a dazzlingly unique exploration of the ideologies of significant philosophers throughout the ages - from Plato and Aristotle through to Spinoza, Kant and the 20th century. Written by a man who changed the history of philosophy himself, this is an account that has never been rivaled since its first publication over 60 years ago.

One of our greatest philosophers and scientists of the mind asks where the self comes from - and how our selves can exist in the minds of others. I Am a Strange Loop argues that the key to understanding selves and consciousness is the "strange loop" - a special kind of abstract feedback loop inhabiting our brains. The most central and complex symbol in your brain is the one called "I". The "I" is the nexus in our brain, one of many symbols seeming to have free will and to have gained the paradoxical ability to push particles around, rather than the reverse.

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.

Paris, 1933: Three contemporaries meet over apricot cocktails at the Bec-de-Gaz bar on the rue Montparnasse. They are the young Jean-Paul Sartre, Simone de Beauvoir, and longtime friend Raymond Aron, a fellow philosopher who raves to them about a new conceptual framework from Berlin called phenomenology. "You see," he says, "if you are a phenomenologist, you can talk about this cocktail and make philosophy out of it!"

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.