Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

    But much more than autobiography, his story is woven with provocative psychological and philosophical commentary, including input from the likes of Lucretius, Freud, and the metal band Napalm Death. A rare style of intellectual but conversational and poignant but humorous makes for a highly accessible and enjoyable read. As the spiritual account winds down, the book transitions into a more rational exploration of the problems associated with religion—and even with spirituality in general. Everyone from outspoken atheists to moderate believers will be engaged, as David is able to critically evaluate spirituality without the hostility so common among modern atheist writers. At the book’s climax, David develops the popular atheist conversation a little deeper by courageously exploring the implications of nihilism: If our deepest fears about the nature of reality were to be true, could we go on? By the end of Optimistic Nihilism, we begin to suspect that we could—and even wonder if a relatively nihilistic perspective paradoxically makes life more precious than any other scheme. A critical must-read for all students of spirituality, psychology, and humanity.

    The narcissist provides the direct and no-nonsense explanations and answers to the questions which matter most to you. The narcissist manages to keep a hook in you by leaving you with unanswered questions. These questions prevent you from gaining understanding, make you susceptible to the pull of the narcissist in the future and cause you untold anguish and anxiety. Not any more. A range of incisive questions covering the narcissistic spectrum of behaviours have been posed by those who have been on the receiving end of narcissistic behaviour. Real questions posed by those who know exactly what it is like to be held in the grasp of the narcissist. Real answers provided by the narcissist himself which will provide understanding, enlightenment and freedom.

    C. Escher and composer Johann Sebastian Bach, discussing common themes in their work and lives. At a deeper level, the book is a detailed and subtle exposition of concepts fundamental to mathematics, symmetry, and intelligence. Through illustration and analysis, the book discusses how self-reference and formal rules allow systems to acquire meaning despite being made of "meaningless" elements. It also discusses what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of "meaning" itself. In response to confusion over the book's theme, Hofstadter has emphasized that GEB is not about mathematics, art, and music but rather about how cognition and thinking emerge from well-hidden neurological mechanisms.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    Objects in harmonic motion have the ability to transfer some of their energy over large distances. Light Nature: This chapter covers the nature of light, polarization, and color.

    The arguement is developed by means of the notion of possible worlds and ranges over key problems including the nature of essence, trans-world identity, negative existential propositions, and the existence of unactual objects in other possible worlds. In the final chapters Professor Plantinga applies his logical theories to the elucidation of two problems in the philosophy of religion: the Problem of Evil and the Ontological Arguement. The first of these, the problem of reconciling the moral perfection and omnipotence of God with the existence of evil, can, he concludes, be resolved, and the second given a sound formulation. The book ends with an appendix on Quine's objection to quantified modal logic.

    Welcome to laughing until it hurts while covered in bodily fluids. Welcome to simple math at very high stakes. Welcome to an incredibly inappropriate sense of humor. Welcome to serving people on the most stressful days of their lives. Welcome to putting your hands in places you never imagined they'd be. Welcome to your front row seat to the ballad of life and death. That's not the welcome that this nurse was looking for, but that's the one he got. Irreverent and audacious, this brutally honest memoir covers what it’s like to come of age in an American Hospital. Welcome to a rollicking peak behind the curtain to what medical providers, and the health care system, are truly like.