Galileo’s dictum that the book of nature “is written in the language of mathematics” is emblematic of the accepted view that the scientific revolution hinged on the conceptual and methodological integration of mathematics and natural philosophy. Although the mathematization of nature is a distinctive and crucial feature of the emergence of modern science in the seventeenth century, this volume shows that it was a far more complex, contested, and context-dependent phenomenon than the receiv...

The world hasn’t met with destruction on any of the long list of predicted doomsday dates, but the possibility may have got you thinking: has science created more problems than it has solved? What is the point of science at all? Geoffrey Gorham considers these questions and explores the social and ethical implications of science by linking them to issues facing scientists today: human extinction, extraterrestrial intelligence, space colonisation and more.

Mathematics pervades our daily lives. It is intimately involved whenever one starts a car, switches on the television, flies on a plane, forecasts the weather, books a holiday on the internet, programmes a computer, navigates heavy traffic, analyses statistical data, or seeks a cure for a disease. Our credit cards and the nation's defence secrets are kept secure by encryption methods based on prime numbers.This book presents mathematics with a human face, celebrating the achievemen...

The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational nu...

Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, sci...

Adrian Bardon's A Brief History of the Philosophy of Time is a short introduction to the history, philosophy, and science of the study of time-from the pre-Socratic philosophers through Einstein and beyond. A Brief History of the Philosophy of Time covers subjects such as time and change, the experience of time, physical and metaphysical approaches to the nature of time, the direction of time, time travel, time and freedom of the will, and scientific and philosophical approaches to eternit...

Science first began as a branch of philosophy, but it has since grown up and moved out of the family home, and its successes have put its parent in the shade. Thanks to scientific knowledge we have walked on the Moon, cured once-fatal illnesses, and even identified the very building blocks of life and the universe. But it is these very successes that underline the need for philosophy.How much should we trust the pronouncements of scientists that we read in the media? What are the e...

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contempora...

A witty, conversational, and accessible tour of math's profoundest mysteries.Mathematical symbols, for mathematicians, store worlds of meaning, leap continents and centuries. But we need not master symbols to grasp the magnificent abstractions they represent, and to which all art aspires. Through language, anyone can come to delight in the works of mathematical art, which are among our kind's greatest glories.Taking the concept of infinity, in its countless...

In considering the history of modern mathematics two questions at once arise:(1) What limitations shall be placed upon the term Mathematics?(2) What force shall be assigned to the word Modern? In other words, how shall Modern Mathematics be defined?In these pages the term Mathematics will be limited to the domain of pure science. Questions of the applications of the various branches will be considered only incidentally. Such great contributions as those of Newton in t...

Why narrative is essential to mathematicsCircles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different concerns: that of the practical person living in the concrete...

Despite claiming unbelief in God or any higher power that may have designed or created the world and all that is in it, modern scientists often write and speak of chance as some kind of being or force that can cause things to happen. In one breath they push the evolution agenda and in the next they say that creatures were "designed" with specific traits. In this classic book, R. C. Sproul and Keith Mathison call the scientific world to employ logic and clarity in their di...