Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.

Bacteria form a fundamental branch of life. They are the oldest forms of life and the most prolific of all living organisms, inhabiting every part of the Earth's surface, its ocean depths, and even such inhospitable places as boiling hot springs. In this Very Short Introduction, bacteriologist Sebastian Amyes explores the nature of bacteria, their origin and evolution, bacteria in the environment, and bacteria and disease.

In this Very Short Introduction audiobook, Jan Zalasiewicz gives a brief introduction to the fascinating field of geology. Describing how the science developed from its early beginnings, he looks at some of the key discoveries that have transformed it before delving into its various subfields, such as sedimentology, tectonics, and stratigraphy.

Not long ago, the Solar System was the only example of a planetary system - a star and the bodies orbiting it - that we knew. Now, we know thousands of planetary systems, and have even been able to observe planetary systems at the moment of their birth.

This short, smart book tells you everything you need to know about "nothing". What remains when you take all the matter away? Can empty space - "nothing" - exist? To answer these questions, eminent scientist Frank Close takes us on a lively and accessible journey that ranges from ancient ideas and cultural superstitions to the frontiers of current research, illuminating the story of how scientists have explored the void and the rich discoveries they have made there.

What is time? What does it mean for time to pass? Is it possible to travel in time? What is the difference between the past and future? Until the work of Newton, these questions were purely topics of philosophical speculation. Since then we've learned a great deal about time, and its study has moved from a subject of philosophical reflection to instead became part of the subject matter of physics.

Taking a historical perspective from the ancient world to contemporary paganism, Gaskill reveals how witchcraft has meant different things to different people and that in every age it has raised questions about the distinction between fantasy and reality, faith and proof. Telling stories, delving into court records, and challenging myths, Gaskill examines the witch hunts of the 16th and 17th centuries and explores the reinvention of witchcraft - as history, religion, fiction, and metaphor.

This Very Short Introduction audiobook celebrates the centrality of ecology in our lives. Jaboury Ghazoul explores how ecology has evolved rapidly from natural history to become a predictive science that explains how the natural world works and which guides environmental policy and management decisions.

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.

The conflict between Palestine and Israel is one of the most highly publicized and bitter struggles in history. In this accessible and stimulating Very Short Introduction, Martin Bunton clearly explains the history of the problem, reducing it to its very essence - a modern territorial contest between two nations and one geographical territory.Providing a clear and fair exploration of the main issues, Bunton explores not only the historical basis of the conflict, but also looks at how and why partition has been so difficult and how efforts to restore peace continue today.

In this Very Short Introduction audiobook, Gary Gutting presents a wide-ranging but nonsystematic exploration of some highlights of Foucault's life and thought. Beginning with a brief biography to set the social and political stage, he then tackles Foucault's thoughts on literature, in particular the avant-garde scene; his philosophical and historical work; his treatment of knowledge and power in modern society; and his thoughts on sexuality.

Energy is vital for a good standard of living, and much of the world's population does not have enough. Affordable and adequate sources of power that do not cause climate change or pollution are crucial; and renewables provide the answer. Wind and solar farms can now provide the cheapest electricity in many parts of the world. Moreover, they could provide all of the world's energy needs.

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.

The periodic table of elements, first encountered by many of us at school, provides an arrangement of the chemical elements, ordered by their atomic number, electron configuration, and recurring chemical properties, and divided into periodic trends. In this Very Short Introduction audiobook, Eric R. Scerri looks at the trends in properties of elements that led to the construction of the table and shows how the deeper meaning of the table's structure gradually became apparent with the development of atomic theory.

The Sun, as our nearest star, is of enormous importance for life on Earth, providing the warm radiation and light which allowed complex life to evolve. The Sun plays a key role in influencing our climate, while solar storms and high-energy events can threaten our communication infrastructure and satellites.

Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy.We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887.... This curious mathematical relationship, widely known as "The Golden Ratio", was discovered by Euclid more than 2,000 years ago. Since then it has shown a propensity to appear in the most astonishing variety of places.

Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over 2,000 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.

Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.

Throughout his distinguished and unconventional career, engineer-turned-molecular-biologist Douglas Axe has been asking the questions that much of the scientific community would rather silence. Now, he presents his conclusions in this brave and pioneering book. Axe argues that the key to understanding our origin is the "design intuition" - the innate belief held by all humans that tasks we would need knowledge to accomplish can be accomplished only by someone who has that knowledge.

A good book may have the power to change the way we see the world, but a great book actually becomes part of our daily consciousness, pervading our thinking to the point that we take it for granted, and we forget how provocative and challenging its ideas once were - and still are. The Structure of Scientific Revolutions is that kind of book.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.

As we use the Web for social networking, shopping, and news, we leave a personal trail. These days, linger over a Web page selling lamps, and they will turn up at the advertising margins as you move around the Internet, reminding you, tempting you to make that purchase. Search engines such as Google can now look deep into the data on the Web to pull out instances of the words you are looking for. And there are pages that collect and assess information to give you a snapshot of changing political opinion.

This in-depth discussion of New Testament scholarship and the challenges of history as a whole proposes Bayes's Theorem, which deals with probabilities under conditions of uncertainty, as a solution to the problem of establishing reliable historical criteria. The author demonstrates that valid historical methods - not only in the study of Christian origins but in any historical study - can be described by, and reduced to, the logic of Bayes's Theorem. Conversely, he argues that any method that cannot be reduced to this theorem is invalid and should be abandoned.

What is history, and why should we study it? Is there such a thing as historical truth? Is history a science? One of the most accomplished historians at work today, John Lewis Gaddis, answers these and other questions in this short, witty, and humane book. The Landscape of History provides a searching look at the historian's craft as well as a strong argument for why a historical consciousness should matter to us today.

Seventy years ago, Erwin Schrdinger posed a simple, yet profound, question: What is life?. How could the very existence of such extraordinary chemical systems be understood? This problem has puzzled biologists and physical scientists both before, and ever since. Living things are hugely complex and have unique properties, such as self-maintenance and apparently purposeful behaviour which we do not see in inert matter. So how does chemistry give rise to biology?

This audiobook is a long-awaited major statement by a pre-eminent analytic philosopher, Alvin Plantinga, on one of our biggest debates - the compatibility of science and religion. The last twenty years has seen a cottage industry of books on this divide, but with little consensus emerging. Plantinga, as a top philosopher but also a proponent of the rationality of religious belief, has a unique contribution to make. His theme in this short book is that the conflict between science and theistic religion is actually superficial, and that at a deeper level they are in concord.

Under the aegis of machine learning in our data-driven machine age, computers are programming themselves and learning about - and solving - an extraordinary range of problems, from the mundane to the most daunting. Today it is machine learning programs that enable Amazon and Netflix to predict what users will like, Apple to power Siri's ability to understand voices, and Google to pilot cars.

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.

This imaginative and stimulating Very Short Introduction audiobook goes beyond a simple retelling of the stories to explore the rich history and diverse interpretations of classical mythology. It is a wide-ranging account, examining how classical myths are used and understood in both high art and popular culture, taking the listener from the temples of Crete to skyscrapers in New York, and finding classical myths in a variety of unexpected places: from Arabic poetry and Hollywood films, to psychoanalysis, the Bible, and New Age spiritualism.

This lively and accessible introduction to Plato focuses on the philosophy and argument of his writings, drawing the listener into Plato's way of doing philosophy, and the general themes of his thinking. It looks at Plato as a thinker grappling with philosophical problems in a variety of ways, rather than a philosopher with a fully worked-out system. It includes a brief account of Plato's life and the various interpretations that have been drawn from the sparse remains of information.

Some people are cleverer than others. This everyday observation is the subject of an academic field that is often portrayed as confused and controversial, when in fact, the field of intelligence holds some of psychology's best-replicated findings. This Very Short Introduction audiobook describes what psychologists have discovered about how and why people differ in their thinking powers. Drawing on largescale data, Ian Deary considers how many types of intelligence there are and how intelligence changes with age.

This concise, accessible introduction provides an analytical narrative of the main events and developments in Soviet Russia between 1917 and 1936. It examines the impact of the revolution on society as a whole - on different classes, ethnic groups, the army, men and women, youth. Its central concern is to understand how one structure of domination was replaced by another. The book registers the primacy of politics, but situates political developments firmly in the context of massive economic, social, and cultural change.

In this Very Short Introduction audiobook, Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field.

The Roman Empire was a remarkable achievement. It had a population of 60 million people spread across lands encircling the Mediterranean and stretching from northern England to the sun-baked banks of the Euphrates, and from the Rhine to the North African coast. It was, above all else, an empire of force - employing a mixture of violence, suppression, order, and tactical use of power to develop an astonishingly uniform culture.

Was love invented by European poets in the Middle Ages, or is it part of human nature? Will winning the lottery really make you happy? Is it possible to build robots that have feelings? In this Very Short Introduction audiobook, Dylan Evans explores these and many other intriguing questions in this guide to the latest thinking about the emotions.

Religion: A Very Short Introduction offers a concise nonpartisan overview of religion's long history and its complicated role in the world today.

Despite the ups and downs of his personal life and professional career—even in the face of deafness—Beethoven remained remarkably consistent in his most basic convictions about his art. This inner consistency, writes the music historian Mark Evan Bonds, provides the key to understanding the composer's life and works. Discarding tired myths about the composer, Bonds proposes a new way of listening to Beethoven by hearing his music as an expression of his entire self, not just his scowling self.

Martin Heidegger, considered by some to be the greatest charlatan ever to claim the title of "philosopher", by some as an apologist for Nazism, and by others as an acknowledged leader in continental philosophy, is probably the most divisive thinker of the 20th century. In the second edition of this Very Short Introduction audiobook, Michael Inwood focuses on Heidegger's most important work, Being and Time, to explore its major themes of existence in the world, inauthenticity, guilt, destiny, truth, and the nature of time.

From the contours of coastlines to the outlines of clouds, and the branching of trees, fractal shapes can be found everywhere in nature. In this Very Short Introduction, Kenneth Falconer explains the basic concepts of fractal geometry, which produced a revolution in our mathematical understanding of patterns in the 20th century, and explores the wide range of applications in science, and in aspects of economics.

Exploring the cultural and institutional dimensions of Christianity and tracing its course over two millennia, Linda Woodhead provides a fresh, lively, and candid portrait of Christianity's past and present. Addressing topics including the competition for power between different forms of Christianity, the churches' use of power, and its struggles with modernity, this new edition includes up-to-date information on the growth and geographical spread of Eastern Christianity, reflecting the global nature of Christianity in our ever-shifting contemporary culture.

Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the "building blocks" of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no one has ever been able to resolve them. But number theory has also recently become of great practical importance.

Beloved by children and adults worldwide, the writings of C. S. Lewis have a broad and enduring appeal. Although he is best known for the iconic Chronicles of Narnia series, C. S. Lewis was actually a man of many literary parts.