11 results for "Mathematics"

Games People Play

Eric Berne
Dr. Eric Berne, as the originator of transactional analysis, has attained recognition for developing one of the most innovative approaches to modern psychotherapy. Discover how many of these "secret games" you play everyday of your life: Iwfy (If it weren't for you); Sweetheart; Threadbare; Harried; Alcoholic, and many more. A groundbreaking book that bores deep into the heart of all our relationships, GAMES PEOPLE PLAY is a classic that should be read again and again.
Knopf Doubleday Publishing Group 1969-05 192 pages

The Art of Clear Thinking

Flesch, Rudolf Franz
This is a unique kind of psychological self-help book. In it Dr. Flesch has summarized for the general reader the relation of scientific findings to thinking and problem-solving. Drawing from psychology, linguistics, anthropology, and mathematics, he has produced an expert guide to clear and constructive thinking. The book is packed with useful suggestions, including shortcuts to mathematics, a system for speedy note-taking, and tips on how to solve puzzles and problems. Moreover, it is written with zest and enthusiasm, continually delving into such fascinating matters as strange coincidences, romantic love, the differences between wit and humor, and the thinking processes of children, pollsters, Eskimos, computers, mystery writers, jurors, chimpanzees, and executives.
Barnes & Noble 1973-06-01 212 pages

Moral Calculations Game Theory, Logic, and Human Frailty

Laszlo Mero
Are people ever rational? Consider this: You auction off a one-dollar bill to the highest bidder, but you set the rules so that the second highest bidder also has to pay the amount of his last bid, even though he gets nothing. Would people ever enter such an auction? Not only do they, but according to Martin Shubik, the game's inventor, the average winning bid (for a dollar, remember) is $3.40. Many winners report that they bid so high only because their opponent "went completely crazy." This game lies at the intersection of three subjects of eternal fascination: human psychology, morality, and John von Neumann's game theory. Hungarian game-theorist Laszlo Mero introduces us to the basics of game theory, including such concepts as zero-sum games, Prisoner's Dilemma and the origins of altruism; shows how game theory is applicable to fields ranging from physics to politics; and explores the role of rational thinking in the context of many different kinds of thinking. This fascinating, urbane book will interest everyone who wonders what mathematics can tell us about the human condition.
Springer New York 2012-10-17 276 pages

The Interpretation of Nature and the Psyche

Carl Gustav Jung,Wolfgang Ernst Pauli
Carl Gustav Jung (1875-1961) and Wolfgang Ernst Pauli (1900 - 1958) were two of the greatest thinkers of modern times. Jung is the founder of Analytical Psychology and is one of the best known researchers in the field of Dream Interpretation and Symbolization. Pauli was one of the pioneers of Quantum Physics. In 1945, Pauli received the Nobel Prize in Physics after being nominated by Albert Einstein for his "decisive contribution through his discovery of a new law of Nature, the exclusion principle" involving spin theory underpinning the structure of matter and the whole of chemistry. Together they collaborated on this book that was First published in 1952 in German as Naturerklarung und Psyche. C. G. Jung: Synchronizitat als ein Prinzip akausaler Zusammenhange. W. Pauli: Der Einfluss archetypischer Vorstellungen auf die Bildung naturwissenschaftlicher Theorien bei Kepler. However, our reviewer, himself an eminent professor of mathematics, concludes, "After thoroughly studying their writings for many months now, I have come to see clearly that they are both utterly mad.""
Ishi Press International 2012-02 280 pages

Understanding Understanding Essays on Cybernetics and Cognition

Heinz von Foerster
In these essays Heinz von Foerster discusses some of the fundamental principles that govern how we know the world and how we process the information from which we derive that knowledge. Included are path- breaking articles concerning the principles of computation in neural nets (1967), the definition of self-organizing systems (1960), the nature of cognition (1970), as well as recent expansions on these themes (e.g. "How recursive is communication," 1993). Working with Norbert Wiener, Warren McCullough, and others in the 1960s and 1970s, von Foerster was one of the founders of the science of cybernetics, which has had profound effects both on modern systems theory and on the philosophy of cognition. At the Biological Computer Laboratory at the University of Illinois he produced the first parallel computers and contributed to many other developments in the theory of computation and cognition.
Springer New York 2010-10-15 362 pages

Decision Theory and Decision Behaviour

A. Rapoport
The book treats two approaches to decision theory: (1) the normative, purporting to determine how a 'perfectly rational' actor ought to choose among available alternatives; (2) the descriptive, based on observations of how people actually choose in real life and in laboratory experiments. The mathematical tools used in the normative approach range from elementary algebra to matrix and differential equations. Sections on different levels can be studied independently. Special emphasis is made on 'offshoots' of both theories to cognitive psychology, theoretical biology, and philosophy.
Palgrave Macmillan UK 1998-01-28 469 pages

The mathematician's mind: the psychology of invention in the mathematical field

Hadamard, Jacques
Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field , remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought.
Princeton University Press 1996-10-20 143 pages

The unknown quantity

Broch, Hermann
"Mild and sensitive Richard Hieck endured a quietly difficult childhood in Germany. Raised in humble circumstances, Richard was profoundly influenced by his withdrawn mother and by his father, an enigma whose devotion centered not on his five children but on his mysterious career. From his father, Richard inherited an interest in the night sky, learning to love the constellations and to take comfort in the strength of Orion and the warm radiance of Venus. Richard's shadowy, elusive father also influenced him to pursue studies in mathematics, a field offering Richard the discipline he had craved as a child." "Published in 1933, The Unknown Quantity is Hermann Broch's study of the underlying chaos - and, finally, the impossibility - of life within a society whose values are in decay. As Richard seeks to reconcile the conflicting demands of love and science, of passion and reason, societal and family values begin to undermine him and those in orbit around him." --Book Jacket.
Marlboro Press/Northwestern 2000 204 pages

Clocking the Mind: Mental Chronometry and Individual Differences

Jensen, Arthur R.
Mental Chronometry (MC) comprises a variety of techniques for measuring the speed with which the brain processes information. First developed in mid-1800, MC was subsequently eclipsed by more complex and practically useful types of psychometric tests stemming from Alfred Binet. This class of mental tests, however, has no true metric relating the test scores to any specific properties of the brain per se. The scores merely represent an ordinal scale, only ranking individuals according to their overall performance on a variety of complex mental tasks. The resulting scores represent no more than ranks rather than being a true metrical scale of any specific dimension of brain function. Such an ordinal scale, which merely ranks individuals in some defined population, possesses no true scale properties, possessing neither a true zero or equal intervals throughout the scale. This deficiency obstructs the development of a true natural science of mental ability. The present burgeoning interest in understanding individual differences in mental abilities in terms of the natural sciences, biology and the brain sciences in particular, demands direct measures that functionally link brain and behavior. One such natural ratio scale is time itself - the time it takes the brain to perform some elementary cognitive task, measured in milliseconds. After more than 25 years researching MC, Jensen here presents results on an absolute scale showing times for intake of visual and auditory information, for accessing short-term and long-term memory, and other cognitive skills, as a function of age, at yearly intervals from 3 to 80 years. The possible uses of MC in neurological diagnosis and the monitoring of drug effects on cognition, the chronometric study of special time-sensitive talents such as musical performance, and presents a theory of general intelligence, or g, as a function of the rate of oscillation of neural action potentials as
Elsevier Science 2014-08-16 292 pages