Math Philosophy

Bust the math myths that are holding you and your kids back and learn the importance of numeracy with this one-of-a-kind resource for parents, educators, and policymakers Shalinee Sharma is one of the world’s top experts on math learning, but when she was in school, she sat in the back row...

The Problems of Philosophy discusses Bertrand Russell's views on philosophy and the problems that arise in the field. Russell's views focus on knowledge rather than the metaphysical realm of philosophy. The Problems with Philosophy revolves around the central question that Russell asks in his opening line of Chapter 1 - Is there any knowledge in the world which is so certain that no reasonable man could doubt it?

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.

Philosophy of Mind is the third and final part of the Encyclopaedia of the Philosophical Sciences, the collection in which Hegel (1730-1831) offered an overview of his life’s work. Though originally written in 1817, he revised it in 1830, thus providing a finished form the year before his death. Hegel used the three parts of the Encyclopaedia - Science of Logic, Philosophy of Nature and Philosophy of Mind - as a basis for lectures at the Universities of Heidelberg which he joined in 1816, and in Berlin in 1820.

This 10-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

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...

El legado de los grandes filósofos puede ayudarnos enormemente en ese reto. Es un ejercicio mental que se practica a cualquier edad y que se perfecciona a medida que uno logra desprenderse de los prejuicios y malos hábitos adquiridos a lo largo de la vida. Hábitos que, en el fondo, no son otra cosa que los kilos de más que nos impiden desenvolvernos con soltura y enfrentarnos con garantías al día a día. De ese modo, tanto nuestros hijos o alumnos, como nosotros mismos gozaremos del factor determinante para llevar una vida feliz: la higiene mental.

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.

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.

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.