Showing results for "Proof" in Science & Engineering

For over two thousand years, from the Medieval Arabic world to the midst of the covid-19 pandemic, scientific progress has relied on different methods of establishing fact from fiction. Achieve logical perfection, the reasoning went, and you would be rewarded with ultimate, universal truth. But there is far more to proof than axioms, theories and laws: when demonstrating that a new medical treatment works, persuading a jury of someone's guilt, or deciding whether you trust a self-driving car or a financial transaction, the weighing up of evidence is far from simple.

The inside story of Lean, a computer program that answers the age-old question: How do you know if something is true? It began as an obscure bug-checking program at Microsoft Research developed by a lone computer engineer named Leo de Moura. Then an unlikely crew of mathematical misfits caught...

___ ***SHORTLISTED FOR THE ROYAL SOCIETY SCIENCE BOOK PRIZE 2022*** Did you know that we can lead longer and healthier lives by making simple changes right now? Professor Rose Anne Kenny has 35 years of experience at the forefront of ageing medicine. In Age Proof, she draws on her own pioneering...

A compelling story to expand the human’s perspective on the new, unprecedented world of AI.

An accessible explanation of Kurt Gödel's groundbreaking work in mathematical logic In 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying...

Brought to you by Penguin. Discover the powerful and practical guide to strengthening your mind for the modern world and thriving in the age of AI, from acclaimed neuroscientist and Sunday Times bestselling author Dr Hannah Critchlow. How do we nurture our brains – and our children’s brains...

From the creator of Bulletproof Coffee and author of the bestselling The Bulletproof Diet comes a revolutionary plan to upgrade your brainpower—in two weeks or less. For the last decade, Silicon Valley entrepreneur Dave Asprey has worked with world-renowned doctors and scientists to uncover...

This book argues that the most important moments in rational inquiry begin not with success, but with failure. When proof breaks down, when a framework falls silent before truths that appear stable and well-defined, something essential is revealed—not about the truth itself, but about the limits of the system meant to capture it. Moving between logic, mathematics, and physics, the book shows how undecidability and non-provability function not as walls, but as signals, guiding inquiry toward more adequate forms of explanation.

When's the best time to exercise - and how much is too much? Which foods fortify the brain, and which do the opposite? How can we use music, movement and motivation to boost our rational brain and keep our cool no matter what life throws our way? This practical and groundbreaking guide reveals seven paths to fighting the effects of stress to strengthen our natural defences so that our minds remain sharp, and our bodies resilient, no matter the circumstances.

In Robot-Proof, Northeastern University president Joseph Aoun proposes a way to educate the next generation of college students to invent, to create, and to discover - to fill needs in society that even the most sophisticated artificial intelligence agent cannot. A "robot-proof" education, Aoun argues, is not concerned solely with topping up students' minds with high-octane facts. Rather, it calibrates them with a creative mindset and the mental elasticity to invent, discover, or create something valuable to society.

Kill It with Fire examines aging computer systems, the evolution of technology over time, and how organizations can modernize, maintain, and future-proof their current systems. “Kill it with fire,” the typical first reaction to a legacy system falling into obsolescence, is a knee-jerk...

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.

For the past several decades, mathematicians did roughly what they'd always done, they sat in rooms, filled chalkboards, and published papers, the day-to-day practice of research mathematics was stagnant from one generation to the next. That era is now ending. Since the beginning of this year, AI systems have disproved open conjectures, solved problems thought to be beyond reach, and synthesized results across fields that no single human could hold in their head. Begin Proof is a long-form conversation series with the people at the frontier of this shift, including the researchers building the...

He had science and an Ivy League pedigree―why did he need God? Immersed in his physics studies at Cornell, Tom Rudelius never thought much about God until his brother, a new convert to Christianity, challenged him to explore faith. To placate his twin, he reluctantly began exploring the Bible...

Ptolemy Tompkins, collaborator on the New York Times bestselling Proof of Heaven and Proof of Angels, meets with an astrophysicist and delivers a stunning answer to the world's oldest question: God is real, and science proves it. Proof of God is the unlikely story of how this serious scientist...

Discover simple, science-based strategies for beating stress at its own game When’s the best time to exercise – and how much is too much? Which foods fortify the brain, and which do the opposite? How can we use music, movement, and motivation to boost our rational brain and keep our cool no...

Join us on an intriguing journey into the realm of pseudo-science as we explore the captivating arguments for a flat Earth! Long before the dawn of the Space Age, many individuals were convinced of a flat Earth, and surprisingly, this belief still persists today. This work presents 100 succinct arguments that challenge conventional thinking about our planets shape. While some points can be easily dismissed, others will leave you questioning, and a few are articulated in such a compelling way that they appear undeniably valid. Discover the unique perspectives of William Carpenter, a notable ...

Master probability theory and applied statistics on the go with this patient, audio-optimized self-study guide. Transform your daily commute or focused study sessions into a conversational journey through the hidden laws of randomness. Designed specifically for audio-only learners, complex...

Unlock the elegant secrets of mathematics and number theory through a calming, story-driven journey into pure logic. Perfect for your daily commute or a focused study session, this immersive educational experience transforms abstract integers and prime numbers into accessible mental puzzles...

Master mathematical logic and upgrade critical reasoning with this calm, accessible guide built for audio learners. Whether you are optimizing a morning commute or seeking deep intellectual focus, this reassuring narrative translates complex academic foundations into clear, spoken examples. Stop...