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.

Over the past few years, Brianna Wiest has gained renown for her deeply moving, philosophical writing. This new compilation of her published work features pieces on why you should pursue purpose over passion, embrace negative thinking, see the wisdom in daily routine, and become aware of the cognitive biases that are creating the way you see your life. Some of these pieces have never been seen; others have been read by millions of people around the world. Regardless, each will leave you thinking: This idea changed my life.

After decades of research, world-renowned Stanford University psychologist Carol S. Dweck discovered a simple but groundbreaking idea: the power of mindset. In this brilliant book, she describes how success in school, work, sports, the arts, and almost every area of human endeavor can be dramatically influenced by how we think about our talents and abilities. In this edition, Dweck offers new insights into her now famous and broadly embraced concept. She introduces a phenomenon she calls false growth mindset and guides people toward adopting a deeper, truer growth mindset.

If you're like most people, geometry is a dimly remembered exercise you gladly left behind in the dust of ninth grade. It's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face.

In Zero, science journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics.

One of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through laws that describe the behavior of the most basic particles and the forces between them. For centuries, we have searched for these laws by studying the results of experiments. Since the 1970s, however, experiments at the world's most powerful atom-smashers have offered few new clues. So some of the world's leading physicists have looked to a different source of insight: modern mathematics.

The young field of quantum mechanics holds out the promise that some of humanity's wildest dreams may be realized. Serious scientists, working off of theories first developed by Einstein and his colleagues 70 years ago, have been investigating the phenomenon known as "entanglement," one of the strangest aspects of the strange universe of quantum mechanics. New experiments suggest it does happen, and that it may lead to unbreakable codes, and even teleportation...

The Math Myth expands Hacker's scrutiny of many widely held assumptions, like the notions that mathematics broadens our minds and that the entire Common Core syllabus should be required of every student. He worries that a frenzied emphasis on STEM is diverting attention from other pursuits and subverting the spirit of the country. In fact, Hacker honors mathematics as a calling (he has been a professor of mathematics) and extols its glories and its goals.

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.

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.

In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively - secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions - you just need the creativity to see them.

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.

The new rector of St. Margaret’s by the Sea Episcopal Church has a secret. Lucille Bartlett was a rising star at the Metropolitan Opera, but she disappeared from the stage and no one knows why. Philosophy Professor Erika Bultmann is a confirmed agnostic, who doesn’t have much use for religion, but she is fascinated by Mother Lucy. When Erika returns to her summer cottage in Hobbs to finish her last book before she retires, Lucy is drawn to the enigmatic professor, but she wants much more than a casual affair. Erika has been in open relationships; Lucy wants a commitment. Lucy believes ...

The foundations of modern knowledge - philosophy, math, astronomy, geography - were laid by the Greeks, whose ideas were written on scrolls and stored in libraries across the Mediterranean and beyond. But as the vast Roman Empire disintegrated, so did appreciation of these precious texts. Christianity cast a shadow over so-called pagan thought, books were burned, and the library of Alexandria, the greatest repository of classical knowledge, was destroyed. Yet some texts did survive and The Map of Knowledge explores the role played by seven cities around the Mediterranean....

From the simple to the intricate and the audacious to the absurd, Adam Kucharski reveals the long and tangled history between betting and science and explains why gambling continues to generate insights into luck and decision making today. Covering exploits and ideas from across the globe, he meets the teams behind hedge funds that capitalize on inaccurate sports betting odds and explains how PhD-level pundits are using methods originally developed for the US nuclear program to predict sports results.

The automobile was one of the most miraculous inventions of the 20th century. It promised freedom, style, and utility. But sometimes, rather than improving our lives technology just makes everything worse. Over the past century cars have filled the air with toxic pollutants and fueled climate change. Cars have stolen public space and made our cities uglier, dirtier, less useful, and more unequal. Cars have caused tens of millions of deaths and injuries. They have wasted our time and our money.

The story of the men and women who drove the Voyager spacecraft mission, told by a scientist who was there from the beginning. The Voyager spacecraft are our farthest-flung emissaries--11.3 billion miles away from the crew who built and still operate them decades after their launch.

From Aristotle to Ada Lovelace: a brief history of the mathematical ideas that have forever changed the world and the everyday people and pioneers behind them. The story of our best invention yet. From our ability to calculate the passing of time to the algorithms that control computers and much else in our lives, numbers are everywhere. They are so indispensable that we forget how fundamental they are to our way of life.

Shame is a powerful and sometimes useful tool: When we publicly shame corrupt politicians, abusive celebrities, or predatory corporations, we reinforce values of fairness and justice. But as Cathy O’Neil argues in this revelatory book, shaming has taken a new and dangerous turn. It is increasingly being weaponized—used as a way to shift responsibility for social problems from institutions to individuals.

Nicole M. Joseph investigates factors that contribute to the glaring underrepresentation of Black female students in mathematics. Joseph's account calls attention to educational structures and practices that contribute to race- and gender-based stratification in science, technology, engineering, and mathematics. In her assessment of the intersectional difficulties facing this marginalized group, Joseph offers a critical view of the existing mathematics education research, practice, and policies that have neglected Black girls and women; and then provides suggestions for reform.