Mathematics Philosophy

No Calculator? No Problem! Mastering Mental Math , award-winning professor of mathematics and celebrated “mathemagician” Arthur T. Benjamin delivers 10 fun-filled lessons on how to do math in your head with confidence, accuracy, and speed - sometimes faster than a calculator. By the end of Professor Benjamin’s lessons, you’ll be able to add, subtract, multiply, and divide numbers faster than ever before. And with your newfound skills, you’ll soon find yourself amazing other people and, perhaps more important, yourself.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the 17th-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it.

Although Bertrand Russell did most of his early work (along with his mentor and colleague Alfred North Whitehead) in mathematics, he had an enormously wide range of interests - from politics to sex education for the young. The following two essays - "Mysticism and Logic" and "Mathematics and the Metaphysicians" - provide listeners with a glimpse into Russell's thinking and, in turn, illuminates us about these deep subjects.

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.

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.

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.

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.

Imagine unlocking the secrets of the universe by delving into the mind of the man who started it all. Thales of Miletus for Beginners: Understanding the Father of Western Philosophy takes you on a journey through time, straight to the origins of rational thought. This isn’t just another history book—it's your gateway to understanding the ideas that shaped the world. Curious about how one man laid the foundation for both philosophy and science? Discover the groundbreaking insights of Thales, the first philosopher to explain the world through reason rather than mythology. In this ...

Unlock the Secrets of an Ancient Thinker Who Shaped Modern Thought Are you ready to challenge your understanding of reality? Zeno of Elea, the brilliant philosopher whose paradoxes have baffled minds for centuries, offers you a journey into the heart of philosophical inquiry. This is not just a book; it’s an intellectual adventure that will change the way you see the world. Dive into the Mind of a Master: Zeno’s paradoxes are more than mere puzzles; they are profound explorations of the concepts of space, time, and infinity. This book breaks down his most famous paradoxes in a way that ...

Fooled by Randomness is the word-of-mouth sensation that will change the way you think about business and the world. Nassim Nicholas Taleb - veteran trader, renowned risk expert, polymathic scholar, erudite raconteur has penned a modern classic that turns on its head what we believe about luck and skill. Set against the backdrop of the most conspicuous forum in which luck is mistaken for skill - the world of trading - Fooled by Randomness provides captivating insight into one of the least understood factors in all our lives.

We play games to learn about the world, to understand our minds and the minds of others, and to make predictions about the future. Games are an essential aspect of humanity and a powerful tool for modeling reality. They’re also a lot of fun. But games can be dangerous, especially when we mistake the model worlds of games for reality itself and let gamification co-opt human decision making. Playing with Reality explores the riveting history of games since the Enlightenment.

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.

As an inventor, astronomer, physicist, and philosopher, Isaac Newton forever changed the way we see and understand the world. At one point, he was the world’s leading authority in mathematics, optics, and alchemy. And surprisingly he wrote more about faith and religion than on all of these subjects combined. But his single-minded focus on knowledge and discovery was a great detriment to his health. Newton suffered from fits of mania, insomnia, depression, a nervous breakdown, and even mercury poisoning.

We would like to believe we can know things for certain. We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are not in our favor. Life is full of uncertainty - indeed, scientific advances indicate that the universe might be fundamentally inexact - and humans are terrible at guessing. When asked to predict the outcome of a chance event, we are almost always wrong.

Mathematician Ian Stewart tells listeners what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical - what mathematics is and why it’s worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.

In this captivating, sweeping history, Michael Brooks makes clear that mathematics was one of the foundational innovations that catapulted humanity from a nomadic existence to civilization, and that it has been instrumental in every subsequent great leap of humankind: from charting the movements of celestial bodies to navigating the globe to tracking the dissemination of viruses.

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.

A compilation of ten articles, Montessori Topics of Interest explores a variety of themes pertinent to anyone interested in learning more about the Montessori Method of education for children two-and-a-half through six years of age. Topics covered include Montessori’s holistic integration of mathematics, how geography gives a face to humanity, the outdoor environment as an extension of the indoor classroom, and the presentation of fact-based literature rather than fantasy for young children. Written in a conversational tone, Montessori Topics of Interest is an enjoyable reading experience...

Eidomorphism: The Philosophy of Ontological Mathematics is a book comprising a total system of philosophical knowledge, encompassing science, religion, mathematics, and logic. Eidomorphism is a synthesis of the philosophies of Pythagoras, Plotinus, Spinoza, Leibniz, Schopenhauer and Gödel. Eidomorphism proposes a single mathematical substance as a unity of objective form and subjective content, united in unit-point entities outside of space and time. As a philosophical, mathematical, and scientific system and theory of everything, Eidomorphism unites quantum theory with philosophy, biology...