The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation


Gary William Flake - 1998
    Distinguishing agents (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions, immune system responses, sexual reproduction, and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as beautiful and interesting. From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems, and adaptation.Each of the book's parts can be read independently, enabling even the casual reader to understand and work with the basic equations and programs. Yet the parts are bound together by the theme of the computer as a laboratory and a metaphor for understanding the universe. The inspired reader will experiment further with the ideas presented to create fractal landscapes, chaotic systems, artificial life forms, genetic algorithms, and artificial neural networks.

Obedience to Authority


Stanley Milgram - 1974
    Some system of authority is a requirement of all communal living, and it is only the man dwelling in isolation who is not forced to respond, through defiance or submission, to the commands of others. Obedience, as a determinant of behavior is of particular relevance to our time. It has been reliably established that from 1933 to 1945 millions of innocent people were systematically slaughtered on command. Gas chambers were built, death camps were guarded, daily quotas of corpses were produced with the same efficiency as the manufacture of appliances. These inhumane policies may have originated in the mind of a single person, but they could only have been carried out on a massive scale if a very large number of people obeyed orders.Obedience is the psychological mechanism that links individual action to political purpose. It is the dispositional cement that binds men to systems of authority. Facts of recent history and observation in daily life suggest that for many people obedience may be a deeply ingrained behavior tendency, indeed, a prepotent impulse overriding training in ethics, sympathy, and moral conduct. C. P. Snow (1961) points to its importance when he writes:When you think of the long and gloomy history of man, you will find more hideous crimes have been committed in the name of obedience than have ever been committed in the name of rebellion. If you doubt that, read William Sbirer's 'Rise and Fall of the Third Reich.' The German Officer Corps were brought up in the most rigorous code of obedience . . . in the name of obedience they were party to, andassisted in, the most wicked large scale actions in the history of the world. (p. 24)The Nazi extermination of European Jews is the most extremeinstance of abhorrent immoral acts carried out by thousands ofpeople in the name of obedience. Yet in lesser degree this type ofthing is constantly recurring: ordinary citizens are ordered todestroy other people, and they do so because they consider ittheir duty to obey orders. Thus, obedience to authority, longpraised as a virtue, takes on a new aspect when it serves amalevolent cause; far from appearing as a virtue, it is transformedinto a heinous sin. Or is it?The moral question of whether one should obey when commands conflict with conscience was argued by Plato, dramatized in "Antigone," and treated to philosophic analysis in every historical epoch Conservative philosophers argue that the very fabric of society is threatened by disobedience, and even when the act prescribed by an authority is an evil one, it is better to carry out the act than to wrench at the structure of authority. Hobbes stated further that an act so executed is in no sense the responsibility of the person who carries it out but only of the authority that orders it. But humanists argue for the primacy of individual conscience in such matters, insisting that the moral judgments of the individual must override authority when the two are in conflict.The legal and philosophic aspects of obedience are of enormous import, but an empirically grounded scientist eventually comes to the point where he wishes to move from abstract discourse to the careful observation of concrete instances. In order to take a close look at the act of obeying, I set up a simple experimentat Yale University. Eventually, the experiment was to involve more than a thousand participants and would be repeated at several universities, but at the beginning, the conception was simple. A person comes to a psychological laboratory and is told to carry out a series of acts that come increasingly into conflict with conscience. The main question is how far the participant will comply with the experimenter's instructions before refusing to carry out the actions required of him.But the reader needs to know a little more detail about the experiment. Two people come to a psychology laboratory to take part in a study of memory and learning. One of them is designated as a "teacher" and the other a "learner." The experimenter explains that the study is concerned with the effects of punishment on learning. The learner is conducted into a room, seated in a chair, his arms strapped to prevent excessive movement, and an electrode attached to his wrist. He is told that he is to learn a list of word pairs; whenever he makes an error, be will receive electric shocks of increasing intensity.The real focus of the experiment is the teacher. After watching the learner being strapped into place, he is taken into the main experimental room and seated before an impressive shock generator. Its main feature is a horizontal line of thirty switches, ranging from 15 volts to 450 volts, in 15-volt increments. There are also verbal designations which range from Slight SHOCK to Danger--Severe SHOCK. The teacher is told that he is to administer the learning test to the man in the other room. When the learner responds correctly, the teacher moves on to the next item; when the other man gives an incorrectanswer, the teacher is to give him an electric shock. He is to start at the lowest shock level ( 15 volts) and to increase the level each time the man makes an error, going through 30 volts, 45 volts, and so on.The "teacher" is a genuinely naive subject who has come to the laboratory to participate in an experiment. The learner, or victim, is an actor who actually receives no shock at all. The point of the experiment is to see how far a person will proceed in a concrete and measurable situation in which he is ordered to inflict increasing pain on a protesting victim.

The Art of Creative Thinking


Rod Judkins - 2015
    Rod Judkins, a lecturer in creativity at the world-famous St Martin's College of Art, will examine the behaviour of successful creative thinkers and explain how all of us can learn from them to improve our lives. Judkins will draw on an extraordinary range of reference points, from the Dada Manifesto to Andy Warhol's studio, via Steve Jobs, Nobel Prize winning economists and many others, and distil a lifetime's expertise into 90 succinct chapters. Along the way he shares the story of most successful class in educational history (in which every single student won a Nobel prize); shows why graphic nudity during public speaking can be both a curse and surprisingly persuasive; and reveals why, in the twenty-first century, it's technically illegal to be as good as good as Michelangelo.

The Embodied Mind: Cognitive Science and Human Experience


Francisco J. Varela - 1991
    The authors argue that only by having a sense of common ground between mind in Science and mind in experience can our understanding of cognition be more complete. Toward that end, they develop a dialogue between cognitive science and Buddhist meditative psychology and situate it in relation to other traditions such as phenomenology and psychoanalysis.

How to Prove It: A Structured Approach


Daniel J. Velleman - 1994
    The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

Irrationality


Stuart Sutherland - 1992
    In this iconoclastic book Stuart Sutherland analyses causes of irrationality and examines why we are irrational, the different kinds of irrationality, the damage it does us and the possible cures.

Wired to Create: Unraveling the Mysteries of the Creative Mind


Scott Barry Kaufman - 2015
    Revealing the latest findings in neuroscience and psychology, along with engaging examples of artists and innovators throughout history, the book shines a light on the practices and habits of mind that promote creative thinking. Kaufman and Gregoire untangle a series of paradoxes— like mindfulness and daydreaming, seriousness and play, openness and sensitivity, and solitude and collaboration – to show that it is by embracing our own contradictions that we are able to tap into our deepest creativity. Each chapter explores one of the ten attributes and habits of highly creative people: Imaginative Play * Passion * Daydreaming * Solitude * Intuition * Openness to Experience * Mindfulness * Sensitivity * Turning Adversity into Advantage * Thinking Differently With insights from the work and lives of Pablo Picasso, Frida Kahlo, Marcel Proust, David Foster Wallace, Thomas Edison, Josephine Baker, John Lennon, Michael Jackson, musician Thom Yorke, chess champion Josh Waitzkin, video-game designer Shigeru Miyamoto, and many other creative luminaries, Wired to Create helps us better understand creativity – and shows us how to enrich this essential aspect of our lives.

Introduction to Topology


Bert Mendelson - 1975
    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

Lectures on the Foundations of Mathematics, Cambridge 1939


Ludwig Wittgenstein - 1989
    A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.

Super Thinking: The Big Book of Mental Models


Gabriel Weinberg - 2019
    If the facts don't hang together on a latticework of theory, you don't have them in a usable form. You've got to have models in your head."- Charlie Munger, investor, vice chairman of Berkshire HathawayThe world's greatest problem-solvers, forecasters, and decision-makers all rely on a set of frameworks and shortcuts that help them cut through complexity and separate good ideas from bad ones. They're called mental models, and you can find them in dense textbooks on psychology, physics, economics, and more.Or, you can just read Super Thinking, a fun, illustrated guide to every mental model you could possibly need. How can mental models help you? Well, here are just a few examples... • If you've ever been overwhelmed by a to-do list that's grown too long, maybe you need the Eisenhower Decision Matrix to help you prioritize. • Use the 5 Whys model to better understand people's motivations or get to the root cause of a problem. • Before concluding that your colleague who messes up your projects is out to sabotage you, consider Hanlon's Razor for an alternative explanation. • Ever sat through a bad movie just because you paid a lot for the ticket? You might be falling prey to Sunk Cost Fallacy. • Set up Forcing Functions, like standing meeting or deadlines, to help grease the wheels for changes you want to occur.So, the next time you find yourself faced with a difficult decision or just trying to understand a complex situation, let Super Thinking upgrade your brain with mental models.Note: in the US the subtitle is The Big Book of Mental Models and outside it is Upgrade Your Reasoning and Make Better Decisions with Mental Models.

Everything and More: A Compact History of Infinity


David Foster Wallace - 2003
    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

de Bono's Thinking Course


Edward de Bono - 1985
    Argues that thinking is a skill that can be developed, offers advice on perception, lateral thinking, and decision making, and tells how to start a thinking club.

The Art of Noticing: 131 Ways to Spark Creativity, Find Inspiration, and Discover Joy in the Everyday


Rob Walker - 2019
    Our lives are in constant tether to phones, to email, and to social media. In this age of distraction, the ability to experience and be present is often lost: to think and to see and to listen.Enter Rob Walker's The Art of Noticing--an inspiring volume that will help you see the world anew. Through a series of simple and playful exercises--131 of them--Walker maps ways for you to become a clearer thinker, a better listener, a more creative workplace colleague, and finally, to rediscover what really matters to you.

Sync: The Emerging Science of Spontaneous Order


Steven H. Strogatz - 2003
    Along the tidal rivers of Malaysia, thousands of fireflies congregate and flash in unison; the moon spins in perfect resonance with its orbit around the earth; our hearts depend on the synchronous firing of ten thousand pacemaker cells. While the forces that synchronize the flashing of fireflies may seem to have nothing to do with our heart cells, there is in fact a deep connection. Synchrony is a science in its infancy, and Strogatz is a pioneer in this new frontier in which mathematicians and physicists attempt to pinpoint just how spontaneous order emerges from chaos. From underground caves in Texas where a French scientist spent six months alone tracking his sleep-wake cycle, to the home of a Dutch physicist who in 1665 discovered two of his pendulum clocks swinging in perfect time, this fascinating book spans disciplines, continents, and centuries. Engagingly written for readers of books such as Chaos and The Elegant Universe, Sync is a tour-de-force of nonfiction writing.

The Ego Tunnel: The Science of the Mind and the Myth of the Self


Thomas Metzinger - 2009
    In The Ego Tunnel, philosopher Thomas Metzinger claims otherwise: No such thing as a self exists. The conscious self is the content of a model created by our brain—an internal image, but one we cannot experience as an image. Everything we experience is “a virtual self in a virtual reality.”But if the self is not “real,” why and how did it evolve? How does the brain construct it? Do we still have souls, free will, personal autonomy, or moral accountability? In a time when the science of cognition is becoming as controversial as evolution, The Ego Tunnel provides a stunningly original take on the mystery of the mind.