Math Philosophy

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.

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case.

From the renowned psychologist who introduced the world to “growth mindset” comes this updated edition of the million-copy bestseller—featuring transformative insights into redefining success, building lifelong resilience, and supercharging self-improvement. “Through clever research...

Mathematics has long been regarded as the purest expression of truth — a language through which the universe reveals itself. Yet behind every equation stands the human mind that created it. In this book, Boris Krieger follows the path of mathematics from its simplest intuitions to its highest abstractions, asking what it truly reveals — about reality, and about ourselves. Through lucid reflection and critical insight, he shows that geometry, algebra, topology, and probability are not independent worlds but translations of human perception into structure.

Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: Observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria.

NATIONAL BESTSELLER Poker champion turned business consultant Annie Duke teaches you how to get comfortable with uncertainty and make better decisions as a result in “the ultimate guide to thinking about risk” (Charles Duhigg, author of The Power of Habit). “A big favorite among...

The Cultural History of Numbers and Mathematics Explained: How Counting, Calculation, and Mathematical Ideas Emerged from Culture, Need, and Human Imagination is a sweeping and accessible exploration of how numbers came to shape human thought, society, and power. Rather than treating mathematics as a cold or purely technical discipline, this book reveals it as a deeply human invention, shaped by survival, belief, creativity, trade, politics, and technology. From the earliest tally marks and embodied counting practices to algorithms and artificial intelligence, numbers are shown as cultural ...

A hilarious, mind-bending investigation into how much humans and aliens might have in common, scientifically speaking—from a best-selling cartoonist and acclaimed physicist. When the long–awaited day dawns and the aliens finally arrive on Earth, they might eat us and destroy the planet—or...

#1 NEW YORK TIMES BESTSELLER “A whirlwind tour of fundamental physics and cosmology.”—The Wall Street Journal “Fascinating . . . a wealth of ideas [that] leave us with a clearer understanding of modern physics in all its invigorating complexity.”—Los Angeles Times When and how...

From the coauthor of Algorithms to Live By, an exploration of the quest to use mathematics to describe the ways we think, from its origins three hundred years ago to the ideas behind modern AI systems and the ways in which they still differ from human minds Everyone has a basic understanding of...

Named a Best Book of 2021 by the Financial Times and a Best Science Book of 2021 by The Guardian “Rovelli is a genius and an amazing communicator… This is the place where science comes to life.” ―Neil Gaiman “One of the warmest, most elegant and most lucid interpreters to the laity of...

This book takes a novel view of mathematics, arguing that it is a branch of human language. Looking through this lens, it traces the evolution of math from the first tally sticks, through the invention of number systems, up to modern computer science. Along the way it shows that, like all language, the real key to math is human intuition. This book has something for everybody: math-phobes hoping to come to terms with an intimidating subject, mathematicians looking for insight into their trade, educators trying to make math accessible, and laymen who want to understand the role of numbers in...

This program is read by the author. A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new...

A fascinating exploration of the science of the impossible—from death rays and force fields to invisibility cloaks—revealing to what extent such technologies might be achievable decades or millennia into the future. One hundred years ago, scientists would have said that lasers, televisions...

FROM ONE OF THE MOST BRILLIANT MINDS OF OUR TIME COMES A BOOK THAT CLARIFIES HIS MOST IMPORTANT IDEAS Stephen Hawking’s worldwide bestseller A Brief History of Time remains a landmark volume in scientific writing. But for readers who have asked for a more accessible formulation of its key...

Geneticist Adam Rutherford and mathematician Hannah Fry guide listeners through time and space, through our bodies and brains, showing how emotions shape our view of reality, how our minds tell us lies, and why a mostly bald and curious ape decided to begin poking at the fabric of the universe.

From Oxford's leading AI researcher comes a fun and accessible tour through the history and future of one of the most cutting edge and misunderstood field in science: Artificial Intelligence The somewhat ill-defined long-term aim of AI is to build machines that are conscious, self-aware, and...

An "elegant", "engrossing" (Carol Tavris, Wall Street Journal) examination of what we think we know about the brain and why -- despite technological advances -- the workings of our most essential organ remain a mystery. "I cannot recommend this book strongly enough."--Henry Marsh, author of Do...

A luminous guide to how the radical new science of counterfactuals can reveal that the scope of the universe is greater, and more beautiful, than we ever imagined There is a vast class of things that science has so far almost entirely neglected. They are central to the understanding of physical...

In a time of dire need, as climate change, conflict, and economic upheaval imperil our existence and our mental well-being deteriorates from not utilising our minds as God intended, Francis Keith Robins introduces a groundbreaking approach to saving humanity – reshaping our thought processes through mathematics. In his book, The Fourth Coming, Robins provides a detailed, step-by-step guide to unlocking our inherent mathematical potential. His vision is to create a society that is inclusive, equal, and peaceful – one that aligns with God’s desire for us.