Godel: A Life Of Logic, The Mind, And Mathematics


John L. Casti - 2000
    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

The Dream of Reason: A History of Western Philosophy from the Greeks to the Renaissance


Anthony Gottlieb - 2000
    This landmark study of Western thought takes a fresh look at the writings of the great thinkers of classic philosophy and questions many pieces of conventional wisdom. The book invites comparison with Bertrand Russell's monumental History of Western Philosophy, "but Gottlieb's book is less idiosyncratic and based on more recent scholarship" (Colin McGinn, Los Angeles Times). A New York Times Notable Book, a Los Angeles Times Best Book, and a Times Literary Supplement Best Book of 2001.

An Imaginary Tale: The Story of the Square Root of Minus One


Paul J. Nahin - 1998
    Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

Math Riddles For Smart Kids: Math Riddles and Brain Teasers that Kids and Families will Love


M. Prefontaine - 2017
    It is a collection of 150 brain teasing math riddles and puzzles. Their purpose is to make children think and stretch the mind. They are designed to test logic, lateral thinking as well as memory and to engage the brain in seeing patterns and connections between different things and circumstances. They are laid out in three chapters which get more difficult as you go through the book, in the author’s opinion at least. The answers are at the back of the book if all else fails. These are more difficult riddles and are designed to be attempted by children from 10 years onwards, as well as participation from the rest of the family. Tags: Riddles and brain teasers, riddles and trick questions, riddles book, riddles book for kids, riddles for kids, riddles for kids aged 9-12, riddles and puzzles, jokes and riddles, jokes book, jokes book for kids, jokes children, jokes for kids, jokes kids, puzzle book

Naming and Necessity


Saul A. Kripke - 1980
    It redirected philosophical attention to neglected questions of natural and metaphysical necessity and to the connections between these and theories of reference, in particular of naming, and of identity. From a critique of the dominant tendency to assimilate names to descriptions and more generally to treat their reference as a function of their Fregean sense, surprisingly deep and widespread consequences may be drawn. The largely discredited distinction between accidental and essential properties, both of individual things (including people) and of kinds of things, is revived. So is a consequent view of science as what seeks out the essences of natural kinds. Traditional objections to such views are dealt with by sharpening distinctions between epistemic and metaphysical necessity; in particular by the startling admission of necessary a posteriori truths. From these, in particular from identity statements using rigid designators whether of things or of kinds, further remarkable consequences are drawn for the natures of things, of people, and of kinds; strong objections follow, for example to identity versions of materialism as a theory of the mind.This seminal work, to which today's thriving essentialist metaphysics largely owes its impetus, is here published with a substantial new Preface by the author.

The Quantum Universe: Everything That Can Happen Does Happen


Brian Cox - 2011
    Cox and Forshaw's contention? There is no need for quantum mechanics to be viewed this way. There is a lot of mileage in the 'weirdness' of the quantum world, and it often leads to confusion and, frankly, bad science. The Quantum Universe cuts through the Wu Li and asks what observations of the natural world made it necessary, how it was constructed, and why we are confident that, for all its apparent strangeness, it is a good theory.The quantum mechanics of The Quantum Universe provide a concrete model of nature that is comparable in its essence to Newton’s laws of motion, Maxwell’s theory of electricity and magnetism, and Einstein’s theory of relativity.

God Created the Integers: The Mathematical Breakthroughs That Changed History


Stephen Hawking - 2005
    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

The Philosophy Of Time Travel


Roberta Sparrow - 1944
    If I am still alivewhen the events foretold in these pages occur, then I hope that you will find me before it is too late.Roberta Ann SparrowOctober, 1944"

The Mind’s I: Fantasies and Reflections on Self and Soul


Douglas R. Hofstadter - 1981
    From verbalizing chimpanzees to scientific speculations involving machines with souls, from the mesmerizing, maze-like fiction of Borges to the tantalizing, dreamlike fiction of Lem and Princess Ineffable, her circuits glowing read and gold, The Mind's I opens the mind to the Black Box of fantasy, to the windfalls of reflection, to new dimensions of exciting possibilities."Ever since David Hume declared in the 18th century that the Self is only a heap of perceptions, the poor Ego has been in a shaky conditions indeed...Mind and consciousness becomes dispensable items in our accounts of reality, ghosts in the bodily machine...Yet there are indications here and there that the tide may be tuming...and the appearance of The Mind's I, edited by Douglas R. Hofstadter and Daniel C. Dennett, seems a welcome sign of change." William Barrett, The New York Times Book Review

Consciousness Explained


Daniel C. Dennett - 1991
    Dennett's exposition is nothing short of brilliant." --George Johnson, New York Times Book ReviewConsciousness Explained is a a full-scale exploration of human consciousness. In this landmark book, Daniel Dennett refutes the traditional, commonsense theory of consciousness and presents a new model, based on a wealth of information from the fields of neuroscience, psychology, and artificial intelligence. Our current theories about conscious life-of people, animal, even robots--are transformed by the new perspectives found in this book.

Dialogues on Mathematics


Alfréd Rényi - 1967
    

Against Method


Paul Karl Feyerabend - 1975
    He argues that the only feasible explanations of scientific successes are historical explanations, and that anarchism must now replace rationalism in the theory of knowledge.

Innumeracy: Mathematical Illiteracy and Its Consequences


John Allen Paulos - 1988
    Dozens of examples in innumeracy show us how it affects not only personal economics and travel plans, but explains mis-chosen mates, inappropriate drug-testing, and the allure of pseudo-science.

Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession


Apostolos Doxiadis - 1992
    His feverish and singular pursuit of this goal has come to define his life. Now an old man, he is looked on with suspicion and shame by his family-until his ambitious young nephew intervenes.Seeking to understand his uncle's mysterious mind, the narrator of this novel unravels his story, a dramatic tale set against a tableau of brilliant historical figures-among them G. H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Gödel. Meanwhile, as Petros recounts his own life's work, a bond is formed between uncle and nephew, pulling each one deeper into mathematical obsession, and risking both of their sanity.

The Principles Of Masonic Law: A Treatise On The Constitutional Laws, Usages And Landmarks Of Freemasonry


Albert G. MacKey - 2003
    From that period, the regulations adopted by the Grand Lodge of England ceased to have any binding efficacy over the craft in this country, while the laws passed by the American Grand Lodges lost the character of general regulations, and were invested only with local authority in their several jurisdictions.Before concluding this introductory section, it may be deemed necessary that something should be said of the "Ancient Landmarks of the Order," to which reference is so often made.Various definitions have been given of the landmarks. Some suppose them to be constituted of all the rules and regulations which were in existence anterior to the revival of Masonry in 1717, and which were confirmed and adopted by the Grand Lodge of England at that time. Others, more stringent in their definition, restrict them to the modes of recognition in use among the fraternity. I am disposed to adopt a middle course, and to define the Landmarks of Masonry to be, all those usages and customs of the craft--whether ritual or legislative--whether they relate to forms and ceremonies, or to the organization of the society--which have existed from time immemorial, and the alteration or abolition of which would materially affect the distinctive character of the institution or destroy its identity. Thus, for example, among the legislative landmarks, I would enumerate the office of Grand Master as the presiding officer over the craft, and among the ritual landmarks, the legend of the third degree. But the laws, enacted from time to time by Grand Lodges for their local government, no matter how old they may be, do not constitute landmarks, and may, at any time, be altered or expunged, since the 39th regulation declares expressly that "every annual Grand Lodge has an inherent power and authority to make new regulations or to alter these (viz., the thirty-nine articles) for the real benefit of this ancient fraternity, provided always that the old landmarks be carefully preserved." Download The Principles Of Masonic Law Now!