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?

Maths is the story of the world around us, and the wisdom it gives us can be the difference between success and disaster. We are all doing maths all the time, from the way we communicate with each other to the way we travel, from how we work to how we relax. Many of us are aware of this. But few...

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. 

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.

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.

This ten-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...

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.

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.

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.