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.

Over a storied career, Daniel C. Dennett has engaged questions about science and the workings of the mind. His answers have combined rigorous argument with strong empirical grounding. And a lot of fun. Intuition Pumps and Other Tools for Thinking offers seventy-seven of Dennett’s most successful “imagination-extenders and focus-holders” meant to guide you through some of life’s most treacherous subject matter: evolution, meaning, mind, and free will.

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.

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.

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.

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.

The laws of thermodynamics drive everything that happens in the universe. From the sudden expansion of a cloud of gas to the cooling of hot metal - everything is moved or restrained by four simple laws. This powerful and compact introduction explains what these four laws are and how they work, using accessible language and virtually no mathematics.

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a groundbreaking field that analyzes how to play games in a rational way.

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.

If you move at high speed, time slows down, space squashes up, and you get heavier. Travel fast enough and you could weigh as much as a jumbo jet, be flattened thinner than a CD without feeling a thing - and live forever! As for the angles of a triangle, they do not always have to add up to 180 degrees. And then, of course, there are black holes. These are but a few of the extraordinary consequences of Einstein's theory of relativity.

Memory: A Very Short Introduction explores the fascinating intricacies of human memory. Is it one thing or many? How does memory change as we age? And what about so-called recovered memories - can they be relied upon as a record of what actually happened in our personal past? This book brings together our most recent knowledge to address (in a scientifically rigorous but highly accessible way) these and many other important questions about how memory works, and why we can't live without it.

The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Throughout, Maciej Dunajski outlines the role geometry plays in the broader context of science and art.

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.

One of the leading philosophical movements of the 20th century, existentialism has had more impact on literature and the arts than any other school of thought. Focusing on the leading figures of existentialism, including Sartre, Nietzsche, Heidegger, Kierkegaard, de Beauvoir, Merleau-Ponty, and Camus, Thomas Flynn offers a concise account of existentialism, explaining the key themes of individuality, free will, and personal responsibility, which marked the movement as a way of life, not just a way of thinking.

In this fully updated fourth edition, Pinder and Usherwood cover the migrant crisis and the UK's decision to leave the Union, set in the context of a body that is now involved in most areas of public policy. Discussing how the EU continues to draw in new members, they conclude by considering the future of the Union and the choices and challenges that may lie ahead.

In this Very Short Introduction audiobook, Christopher Taylor explores the life of Socrates and his philosophical activity, before looking to the responses his philosophical doctrines have evoked in the centuries since his betrayal and execution at fellow Athenian hands.

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.