Math Philosophy

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.

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.

NEW YORK TIMES BESTSELLER Thirteen extraordinary essays shed new light on the mystery of the universe—and on one of the most brilliant thinkers of our time. “[Hawking] sprinkles his explanations with a wry sense of humor and a keen awareness that the sciences today delve not only into...

More Damned Lies and Statistics encourages all of us to think in a more sophisticated and skeptical manner about how statistics are used to promote causes, create fear, and advance particular points of view. Best identifies different sorts of numbers that shape how we think about public issues: missing numbers are relevant but overlooked; confusing numbers bewilder when they should inform; scary numbers play to our fears about the present and the future.

One of the great mysteries of science is that its fundamental laws are written in the language of mathematics. Graham Farmelo's thrilling new book shows how modern maths has helped physicists to rethink gravity, space, and time. The Universe Speaks in Numbers takes us on an adventure from the Enlightenment to the present with a vibrant cast of characters, illuminating the most exciting and controversial developments in contemporary thought.

America has been steadily sliding in global education rankings for decades. In particular, our students are increasingly unable to compete globally in STEM (science, technology, engineering, and math) fields. According to the National Assessment of Education Progress (NAEP), in 2010 only 26 percent of high school seniors in the U.S. scored at or above proficient level in math. Another 36 percent were failing.