Book picks similar to
Logic, Semantics, Metamathematics by Alfred Tarski
philosophy
logic
math
mathematics
How Risky Is It, Really?: Why Our Fears Don't Always Match the Facts
David Ropeik - 2010
HOW RISKY IS IT, REALLY?International risk expert David Ropeik takes an in-depth look at our perceptions of risk and explains the hidden factors that make us unnecessarily afraid of relatively small threats and not afraid enough of some really big ones. This read is a comprehensive, accessible, and entertaining mixture of what's been discovered about how and why we fear — too much or too little. It brings into focus the danger of The Perception Gap: when our fears don't match the facts, and we make choices that create additional risks.This book will not decide for you what is really risky and what isn't. That's up to you. HOW RISKY IS IT, REALLY? will tell you how you make those decisions. Understanding how we perceive risk is the first step toward making wiser and healthier choices for ourselves as individuals and for society as a whole.TEST YOUR OWN "RISK RESPONSE" IN DOZENS OF SELF-QUIZZES!
How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
James D. Stein - 2008
In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
Critique of Pure Reason
Immanuel Kant - 1781
It presents a profound and challenging investigation into the nature of human reason, its knowledge and its illusions. Reason, Kant argues, is the seat of certain concepts that precede experience and make it possible, but we are not therefore entitled to draw conclusions about the natural world from these concepts. The Critique brings together the two opposing schools of philosophy: rationalism, which grounds all our knowledge in reason, and empiricism, which traces all our knowledge to experience. Kant's transcendental idealism indicates a third way that goes far beyond these alternatives.
A Student's Guide to Maxwell's Equations
Daniel Fleisch - 2007
In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
Turbulent Mirror: An Illustrated Guide to Chaos Theory and the Science of Wholeness
John P. Briggs - 1989
But now, with the aid of high-speed computers, scientists have been able to penetrate a reality that is changing the way we perceive the universe. Their findings -- the basis for chaos theory -- represent one of the most exciting scientific pursuits of our time.No better introduction to this find could be found than John Briggs and F. David Peat's Turbulent Mirror. Together, they explore the many faces of chaos and reveal how its law direct most of the processes of everyday life and how it appears that everything in the universe is interconnected -- discovering an "emerging science of wholeness."Turbulent Mirror introduces us to the scientists involved in study this endlessly strange field; to the theories that are turning our perception of the world on its head; and to the discoveries in mathematics, biology, and physics that are heralding a revolution more profound than the one responsible for producing the atomic bomb. With practical applications ranging from the control of traffic flow and the development of artifical intelligence to the treatment of heart attacks and schizophrenia, chaos promises to be an increasingly rewarding area of inquiry -- of interest to everyone.
Thinking Statistically
Uri Bram - 2011
Along the way we’ll learn how selection bias can explain why your boss doesn’t know he sucks (even when everyone else does); how to use Bayes’ Theorem to decide if your partner is cheating on you; and why Mark Zuckerberg should never be used as an example for anything. See the world in a whole new light, and make better decisions and judgements without ever going near a t-test. Think. Think Statistically.
The Möbius Strip: Dr. August Möbius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology
Clifford A. Pickover - 2007
Escher -- goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller. Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation. Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Mobius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.
The Visual Display of Quantitative Information
Edward R. Tufte - 1983
Theory and practice in the design of data graphics, 250 illustrations of the best (and a few of the worst) statistical graphics, with detailed analysis of how to display data for precise, effective, quick analysis. Design of the high-resolution displays, small multiples. Editing and improving graphics. The data-ink ratio. Time-series, relational graphics, data maps, multivariate designs. Detection of graphical deception: design variation vs. data variation. Sources of deception. Aesthetics and data graphical displays. This is the second edition of The Visual Display of Quantitative Information. Recently published, this new edition provides excellent color reproductions of the many graphics of William Playfair, adds color to other images, and includes all the changes and corrections accumulated during 17 printings of the first edition.
An Introduction to Functional Programming Through Lambda Calculus
Greg Michaelson - 1989
This well-respected text offers an accessible introduction to functional programming concepts and techniques for students of mathematics and computer science. The treatment is as nontechnical as possible, and it assumes no prior knowledge of mathematics or functional programming. Cogent examples illuminate the central ideas, and numerous exercises appear throughout the text, offering reinforcement of key concepts. All problems feature complete solutions.
Poetry of the Universe
Robert Osserman - 1995
40 illustrations throughout.
Manhood of Humanity
Alfred Korzybski - 1921
Method and Processes of Approach to a New Concept of Life
-For a while he trampled with impunity on laws human and divine but, as he was obsessed with the delusion that two and two makes five, he fell, at last a victim to the relentless rules of humble Arithmetic. -Remember, O stranger, Arithmetic is the first of the sciences and the mother of safety.- --Brandeis It is the aim of this little book to point the way to a new science and art-the science and art of Human Engineering. By Human Engineering I mean the science and art of directing the energies and capacities of human beings to the advancement of human weal. It need not be argued in these times that the establishment of such a science-the science of human welfare-is an undertaking of immeasurable importance. No one can fail to see that its importance is supreme. It is evident that, if such a science is to be established it must be founded on ascertained facts-it must accord with what is characteristic of Man-it must be based upon a just conception of what Man is-upon a right understanding of Man's place in the scheme of Nature. No one need be told how indispensable it is to have true ideas-just concepts-correct notions-of the things with which we humans have to deal; everyone knows for example, that to mistake solids for surfaces or lines would wreck the science and art of geometry; anyone knows that to confuse fractions with whole numbers would wreck the science and art of arithmetic; everyone knows that to mistake vice for virtue would destroy the foundation of ethics; everyone knows that to mistake a desert mirage for a lake of fresh water does but lure the fainting traveler to dire disappointment or death. Now, it is perfectly clear that of all the things with which human beings have to deal, the most important by far is Man himself-humankind-men, women and children. It follows that for us human beings nothing else can be quite so important as a clear, true, just, scientific concept of Man-a right understanding of what we as human beings really are. For it requires no great wisdom, it needs only a little reflection, to see that, if we humans radically misconceive the nature of man-if we regard man as being something which he is not, whether it be something higher than man or lower-we thereby commit an error so fundamental and far reaching as to produce every manner of confusion and disaster in individual life, in community life and in the life of the race. The question we have, therefore, to consider first of all is fundamentally: What is Man? What is a man? What is a human being? What is the defining or characteristic mark of humanity?
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.
Ideas Pertaining to a Pure Phenomenology and to a Phenomenological Philosophy: First Book: General Introduction to a Pure Phenomenology
Edmund Husserl - 1913
It 2 would seem that my protest against this conception has been oflittle avail; and the added explanations, which sharply pinpointed at least some chief points of difference, either have not been understood or have been heedlessly pushed aside. Thus the replies directed against my criticism of psychological method are also quite negative because they miss the straightforward sense of my presentation. My criticism of psychological method did not at all deny the value of modern psychology, did not at all disparage the experimental work done by eminent men. Rather it laid bare certain, in the literal sense, radical defects of method upon the removal of which, in my opinion, must depend an elevation of psychology to a higher scientific level and an extraordinary amplification ofits field of work. Later an occasion will be found to say a few words about the unnecessary defences of psychology against my supposed "attacks."
Cybernetics: or the Control and Communication in the Animal and the Machine
Norbert Wiener - 1948
It is a ‘ must’ book for those in every branch of science . . . in addition, economists, politicians, statesmen, and businessmen cannot afford to overlook cybernetics and its tremendous, even terrifying implications. "It is a beautifully written book, lucid, direct, and despite its complexity, as readable by the layman as the trained scientist." -- John B. Thurston, "The Saturday Review of Literature" Acclaimed one of the "seminal books . . . comparable in ultimate importance to . . . Galileo or Malthus or Rousseau or Mill," "Cybernetics" was judged by twenty-seven historians, economists, educators, and philosophers to be one of those books published during the "past four decades", which may have a substantial impact on public thought and action in the years ahead." -- Saturday Review
Economic Philosophy
Joan Robinson - 1962
It limps along with one foot in untested hypotheses and the other in untestable slogans. Here our task is to sort out as best we may this mixture of ideology and science.- With these provocative words, Joan Robinson introduces this lively and iconoclastic book. -In what follows, - she says, -this theme is illustrated by reference to one or two of the leading ideas of the economists from Adam Smith onwards, not in a learned manner, tracing the development of thought, nor historically, to show how ideas arose out of the problems of each age, but rather an attempt to puzzle out the mysterious way that metaphysical propositions, without any logical content, can yet be a powerful influence on thought and action.- Robinson is responsible for some of the most austerely professional contributions to economic theory, but here in effect she takes the reader behind the scenes and cheerfully exposes the dogmatic content of economic orthodoxy. In its place, she offers the possibility that with obsolete metaphysics cleared out of the way economics can make a substantial advance toward science. .