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.

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.

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.

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.

Mathematics shapes almost everything we do. From building rockets to the handheld technology that governs our day-to-day lives, we are all in debt to the mathematical geniuses of the past. But the history of mathematics is warped; it looks like a sixteenth-century map that enlarges Europe at the expense of Africa, Asia and the Americas. The Secret Lives of Numbers introduces listeners to a new group of mathematical boundary-smashers, those who have been erased by history because of their race, gender or nationality.

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...

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.

Thanks to ancient Greece, we know more about philosophy, politics, the democratic system, mythology, art, the Olympics, and many, many lingual references imbedded in almost every European language. Ancient Greece has had a significant impact on many concepts we still hold true today.

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.

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.

A description of the relationship between deductive thought and artistic creation.

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.

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.