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.

Quantum theory is the most revolutionary discovery in physics since Newton. This book gives a lucid, exciting, and accessible account of the surprising and counterintuitive ideas that shape our understanding of the sub-atomic world. It does not disguise the problems of interpretation that still remain unsettled 75 years after the initial discoveries. Uncertainty, probabilistic physics, complementarity, the problematic character of measurement, and decoherence are among the many topics discussed.

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.

Exciting new developments in brain science are continuing the debates on these issues, and the field has now expanded to include biologists, neuroscientists, psychologists, and philosophers. This controversial book clarifies the potentially confusing arguments, and the major theories, while also outlining the amazing pace of discoveries in neuroscience. Covering areas such as the construction of self in the brain, mechanisms of attention, the neural correlates of consciousness, and the physiology of altered states of consciousness, Susan Blackmore highlights our latest findings.

This is a fascinating introduction to the history of Western astronomy, from prehistoric times to the origins of astrophysics in the mid-19th century. Historical records are first found in Babylon and Egypt, and after two millennia the arithmetical astronomy of the Babylonians merged with the Greek geometrical approach to culminate in the Almagest of Ptolemy. This legacy was transmitted to the Latin West via Islam and led to Copernicus's claim that the Earth is in motion.

Philosophy of Physics is concerned with the deepest theories of modern physics - notably quantum theory, our theories of space, time and symmetry, and thermal physics - and their strange, even bizarre conceptual implications. A deeper understanding of these theories helps both physics, through pointing the way to new theories and new applications, and philosophy, through seeing how our worldview has to change in the light of what we learn from physics.

How much faith should we place in what scientists tell us? Is it possible for scientific knowledge to be fully "objective"? What, really, can be defined as science? In the second edition of this very short introduction, Samir Okasha explores the main themes and theories of contemporary philosophy of science and investigates fascinating, challenging questions such as these.

What is socialism? Does it have a future, or has it become an outdated ideology in the 21st century? This audiobook considers the major theories in socialism and explores its historical evolution from the French Revolution to the present day. Michael Newman argues that socialism has always been a diverse doctrine, while nevertheless containing a central core of interconnected values and goals: a critique of capitalism; an optimistic view of human beings; and the belief that it is possible to establish societies based on egalitarianism, social solidarity, and cooperation.

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.

This is an audiobook about math, but it contains no numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math - topology, analysis, and algebra - which turn out to be surprisingly easy to grasp. This audiobook upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. Join this freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject.

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.

Taught by award-winning Professor Patrick Grim of the State University of New York at Stony Brook, The Philosopher’s Toolkit: How to Be the Most Rational Person in Any Room arms you against the perils of bad thinking and supplies you with an arsenal of strategies to help you be more creative, logical, inventive, realistic, and rational in all aspects of your daily life.

"Correlation does not imply causation". This mantra has been invoked by scientists for decades and has led to a virtual prohibition on causal talk. But today, that taboo is dead. The causal revolution, sparked by Judea Pearl and his colleagues, has cut through a century of confusion and placed causality - the study of cause and effect - on a firm scientific basis.

How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our greatest minds. And they are all the same question: What is infinity? In Beyond Infinity, Eugenia Cheng takes us on a staggering journey from elemental math to its loftiest abstractions. Along the way, she considers how to use a chessboard to plan a worldwide dinner party, how to make a chicken-sandwich sandwich, and how to create infinite cookies from a finite ball of dough.

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.