Part I describes questions and issues about mathematics that have motivated philosophers since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in the thought of such philosophers as Plato, Aristotle, Kant, and Mill. Part III covers the three major positions held throughout the twentieth century: the idea that mathematics is logic (logicism), the view that the essence of mathematics is the rule-governed manipulation of characters (formalism), and a revisionist philosophy that focuses on the mental activity of mathematics (intuitionism). Finally, Part IV brings the reader up-to-date with a look at contemporary developments within the discipline.This sweeping introductory guide to the philosophy of mathematics makes these fascinating concepts accessible to those with little background in either mathematics or philosophy.

    Key questions and topics covered include:What is phenomenology? naturalizing phenomenology and the empirical cognitive sciences phenomenology and consciousness consciousness and self-consciousness, including perception and action time and consciousness, including William James intentionality the embodied mind action knowledge of other minds situated and extended minds phenomenology and personal identityInteresting and important examples are used throughout, including phantom limb syndrome, blindsight and self-disorders in schizophrenia, making The Phenomenological Mind an ideal introduction to key concepts in phenomenology, cognitive science and philosophy of mind.

    Indeed, the brain's power is being confirmed every day in new studies and research. But there is a brain we don't generally hear about, a brain we might not want to hear about…the "prima donna within."Exposing the mind's deceptions and exploring how the mind defends and glorifies the ego, Dr. Cordelia Fine illustrates the brain's tendency to self-delusion. Whether it be hindsight bias, wishful thinking, unrealistic optimism, or moral excuse-making, each of us has a slew of inborn mind-bugs and ordinary prejudices that prevent us from seeing the truth about the world and ourselves. With fascinating studies to support her arguments, Dr. Fine takes us on an insightful, rip-roaringly funny tour through the brain you never knew you had.

    The work is powerful and has established a passionate following as well as harsh critics.

    Explains how scientists who study complexity are convinced that certain constant processes are at work in all kinds of unrelated complex systems.

    This sense of our self may seem incredibly real but a wealth of recent scientific evidence reveals that it is not what it seems--it is all an illusion. In The Self Illusion, Bruce Hood reveals how the self emerges during childhood and how the architecture of the developing brain enables us to become social animals dependent on each other. Humans spend proportionally the greatest amount of time in childhood compared to any other animal. It's not only to learn from others, Hood notes, but also to learn to become like others. We learn to become our self. Even as adults we are continually developing and elaborating this story, learning to become different selves in different situations--the work self, the home self, the parent self. Moreover, Hood shows that this already fluid process--the construction of self--has dramatically changed in recent years. Social networking activities--such as blogging, Facebook, LinkedIn, and Twitter--are fast becoming socialization on steroids. The speed and ease at which we can form alliances and relationships are outstripping the same selection processes that shaped our self prior to the internet era. Things will never be the same again in the online social world. Hood offers our first glimpse into this unchartered territory. Who we are is, in short, a story of our self--a narrative that our brain creates. Like the science fiction movie, we are living in a matrix that is our mind. But Hood concludes that though the self is an illusion, it is an illusion we must continue to embrace to live happily in human society.

    Simply put, beliefs come first and explanations for beliefs follow. The brain, Shermer argues, is a belief engine. From sensory data flowing in through the senses, the brain naturally begins to look for and find patterns, and then infuses those patterns with meaning. Our brains connect the dots of our world into meaningful patterns that explain why things happen, and these patterns become beliefs. Once beliefs are formed the brain begins to look for and find confirmatory evidence in support of those beliefs, which accelerates the process of reinforcing them, and round and round the process goes in a positive-feedback loop of belief confirmation. Shermer outlines the numerous cognitive tools our brains engage to reinforce our beliefs as truths.Interlaced with his theory of belief, Shermer provides countless real-world examples of how this process operates, from politics, economics, and religion to conspiracy theories, the supernatural, and the paranormal. Ultimately, he demonstrates why science is the best tool ever devised to determine whether or not a belief matches reality.

    a personal confession of its creator and a kind of involuntary and unperceived memoir.". Stewart affirms this maxim in his colorful reinterpretation of the lives and works of 17th-century philosophers Spinoza and Leibniz. In November 1676, the foppish courtier Leibniz, "the ultimate insider... an orthodox Lutheran from conservative Germany," journeyed to The Hague to visit the self-sufficient, freethinking Spinoza, "a double exile... an apostate Jew from licentious Holland." A prodigious polymath, Leibniz understood Spinoza's insight that "science was in the process of rendering the God of revelation obsolete; that it had already undermined the special place of the human individual in nature." Spinoza embraced this new world. Seeing the orthodox God as a "prop for theocratic tyranny," he articulated the basic theory for the modern secular state. Leibniz, on the other hand, spent the rest of his life championing God and theocracy like a defense lawyer defending a client he knows is guilty. He elaborated a metaphysics that was, at bottom, a reaction to Spinoza and collapses into Spinozism, as Stewart deftly shows. For Stewart, Leibniz's reaction to Spinoza and modernity set the tone for "the dominant form of modern philosophy"—a category that includes Kant, Hegel, Bergson, Heidegger and "the whole 'postmodern' project of deconstructing the phallogocentric tradition of western thought." Readers of philosophy may find much to disagree with in these arguments, but Stewart's wit and profluent prose make this book a fascinating read.

    Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.Also available as an eBook

    Is it in our genes? The structure of our brains? Our genome may determine our eye color and even aspects of our personality. But our friendships, failures, and passions also shape who we are. The question is: how?Sebastian Seung, a dynamic professor at MIT, is on a quest to discover the biological basis of identity. He believes it lies in the pattern of connections between the brain’s neurons, which change slowly over time as we learn and grow. The connectome, as it’s called, is where our genetic inheritance intersects with our life experience. It’s where nature meets nurture.Seung introduces us to the dedicated researchers who are mapping the brain’s connections, neuron by neuron, synapse by synapse. It is a monumental undertaking—the scientific equivalent of climbing Mount Everest—but if they succeed, it could reveal the basis of personality, intelligence, memory, and perhaps even mental disorders. Many scientists speculate that people with anorexia, autism, and schizophrenia are "wired differently," but nobody knows for sure. The brain’s wiring has never been clearly seen.In sparklingly clear prose, Seung reveals the amazing technological advances that will soon help us map connectomes. He also examines the evidence that these maps will someday allow humans to "upload" their minds into computers, achieving a kind of immortality.Connectome is a mind-bending adventure story, told with great passion and authority. It presents a daring scientific and technological vision for at last understanding what makes us who we are. Welcome to the future of neuroscience.

    

    In it, Berger and Luckmann reformulate the task of the sociological subdicipline that, since Max Scheler, has been known as the sociology of knowledge.

    He revisits the meme, the unit of cultural information that he named and wrote about in his groundbreaking work The Selfish Gene. He makes moving tributes to friends and colleagues, including a eulogy for novelist Douglas Adams; he shares correspondence with the evolutionary biologist Stephen Jay Gould; and he visits with the famed paleoanthropologists Richard and Maeve Leakey at their African wildlife preserve. He concludes the essays with a vivid note to his ten-year-old daughter, reminding her to remain curious, to ask questions, and to live the examined life.

    He also looks at philosophical issues in particular sciences, including the problem of classification in biology, and the nature of space and time in physics. The final chapter touches on the conflicts between science and religion, and explores whether science is ultimately a good thing.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers.