A History of the Circle

Mathematical Reasoning and the Physical Universe

Author: Ernest Zebrowski

Publisher: Rutgers University Press

ISBN: 9780813528984

Category: Mathematics

Page: 215

View: 4277

Ranging from ancient times to twentieth-century theories of time and space, looks at how exploring the circle has lead to increased knowledge about the physical universe.
Release

Landscape of the Mind

Human Evolution and the Archaeology of Thought

Author: John F. Hoffecker

Publisher: Columbia University Press

ISBN: 023151848X

Category: Social Science

Page: 288

View: 8951

In Landscape of the Mind, John F. Hoffecker explores the origin and growth of the human mind, drawing on archaeology, history, and the fossil record. He suggests that, as an indirect result of bipedal locomotion, early humans developed a feedback relationship among their hands, brains, and tools that evolved into the capacity to externalize thoughts in the form of shaped stone objects. When anatomically modern humans evolved a parallel capacity to externalize thoughts as symbolic language, individual brains within social groups became integrated into a "neocortical Internet," or super-brain, giving birth to the mind. Noting that archaeological traces of symbolism coincide with evidence of the ability to generate novel technology, Hoffecker contends that human creativity, as well as higher order consciousness, is a product of the superbrain. He equates the subsequent growth of the mind with human history, which began in Africa more than 50,000 years ago. As anatomically modern humans spread across the globe, adapting to a variety of climates and habitats, they redesigned themselves technologically and created alternative realities through tools, language, and art. Hoffecker connects the rise of civilization to a hierarchical reorganization of the super-brain, triggered by explosive population growth. Subsequent human history reflects to varying degrees the suppression of the mind's creative powers by the rigid hierarchies of nationstates and empires, constraining the further accumulation of knowledge. The modern world emerged after 1200 from the fragments of the Roman Empire, whose collapse had eliminated a central authority that could thwart innovation. Hoffecker concludes with speculation about the possibility of artificial intelligence and the consequences of a mind liberated from its organic antecedents to exist in an independent, nonbiological form.
Release

Ideas at the Intersection of Mathematics, Philosophy, and Theology

Author: Carlos R. Bovell

Publisher: Wipf and Stock Publishers

ISBN: 1608999734

Category: Religion

Page: 142

View: 3878

How do mathematics, philosophy, and theology intersect? In Ideas at the Intersection of Mathematics, Philosophy, and Theology, Carlos Bovell proposes a wide range of possibilities. In a series of eleven thought-provoking essays, the author explores such topics as the place of mathematics in the work of Husserl and Heidegger, the importance of infinity for the Christian conception of God, and the impact of Gšdel's Theorem on the Westminster Confession of Faith. This book will appeal to readers with backgrounds in mathematics, philosophy, and theology and can be used in core, interdisciplinary modules that contain a math component.
Release

Library Journal

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Libraries

Page: N.A

View: 8264

Release

Ethics and the History of Philosophy

Selected Essays

Author: C.D. Broad

Publisher: Routledge

ISBN: 1317830717

Category: Philosophy

Page: 288

View: 785

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
Release

Current Contents

Arts & humanities

Author: Institute for Scientific Information (Philadelphia)

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 587

Release

Archäologie der Medien

zur Tiefenzeit des technischen Hörens und Sehens

Author: Siegfried Zielinski

Publisher: N.A

ISBN: 9783499556494

Category: Mass media

Page: 394

View: 2038

Release

Discover

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Science

Page: N.A

View: 3566

Release

The Saga of Mathematics

A Brief History

Author: Marty Lewinter,William Widulski

Publisher: Pearson College Division

ISBN: N.A

Category: Mathematics

Page: 302

View: 3410

This inexpensive paperback uses lively language to put mathematics in an interesting, historical context and points out the many links to art, philosophy, music, computers, navigation, science, and technology. The arithmetic, algebra, and geometry are presented in a way that makes them relevant to daily life as well as larger issues. Topics include: Oh So Mysterious Egyptian Mathematics; Mesopotamia Here We Come; Those Incredible Greeks; Greeks Bearing Gifts; Must All Good Things Come to an End?; Europe Smells the Coffee; Mathematics Marches On; A Few Good Men; A Most Amazing Century of Mathematical Marvels!; The Age of Euler; A Century of Surprises; Ones and Zeros; Some More Math Before You Go.
Release

Horizons: Exploring the Universe

Author: Michael A. Seeds,Dana Backman

Publisher: Cengage Learning

ISBN: 1133610633

Category: Science

Page: 488

View: 9679

The 13th Edition of HORIZONS means the proven Seeds/Backman approach and trusted content, fully updated with the latest discoveries and resources to meet the needs of today's diverse students. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Release

The Jazz of Physics

Die Verbindung von Musik und der Struktur des Universums

Author: Stephon H.S. Alexander

Publisher: BASTEI LÜBBE

ISBN: 3732548791

Category: Mathematics

Page: 333

View: 5811

Schon vor mehr als fünfzig Jahren begeisterte sich John Coltrane für das Universum. Inspiriert von Albert Einstein, hatte Coltrane Physik und Geometrie in den Mittelpunkt seiner Musik gesetzt. Diese Idee faszinierte den Physiker und Jazzmusiker Stephon Alexander seit frühester Jugend. Er zeigt anhand des Jazz, wie die größten Fragen der Physik über die Beschaffenheit des Universums beantwortet werden können. The Jazz of Physics fasziniert und begeistert jeden, der sich für die Geheimnisse unseres Universums, der Musik und des Lebens interessiert.
Release

Keeper of the Celtic Secrets

Author: Betty Rhodes

Publisher: Betty Rhodes

ISBN: 159800283X

Category: Fiction

Page: 336

View: 8580

WRITTEN AS A BOOK OF FICTION - BUT IS IT Revealed in this book, is the mystery behind the Missing Link, the answer to the 'creation or evolution' question, the origins of the races, the origins of Rh-Negative blood; the Red Thread, the Origin of the Hebrew people, the wandering planet of Hibiru - yes, Hibiru, and much more. See, how patterns can reveal the future, what the Garden of Eden really was, and learn about the ancient Gods of Sumer, the Mazzaroth trail, and much more. This book has a heart wrenching love story, and is full of mystery, danger, and excitement, but more importantly, it contains the unveiling of secret knowledge from some old secret journals. Journals, scribed in 1650, have passed down to 'the keeper of the secrets', Samantha O'Brian, who decides to share these amazing secrets with the world. These secrets will open your eyes to wisdom so astounding, that you won't believe your eyes.
Release

The Species Problem

Biological Species, Ontology, and the Metaphysics of Biology

Author: David N. Stamos

Publisher: Lexington Books

ISBN: 9780739107782

Category: Philosophy

Page: 390

View: 4262

Stamos squarely confronts the problem of determining what a biological species is, whether species are real, and the nature of their reality. He critically considers the evolution of the major contemporary views of species and also offers his own solution to the species problem.
Release

Book review digest

Author: H.W. Wilson Company

Publisher: N.A

ISBN: N.A

Category: Books

Page: N.A

View: 9769

Release

Mathematics in Western Culture

Author: Morris Kline

Publisher: Oxford University Press

ISBN: 9780195345452

Category: Mathematics

Page: 512

View: 2563

This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.
Release

Euclid in the Rainforest

Discovering Universal Truth in Logic and Math

Author: Joseph Mazur

Publisher: Dutton Juvenile

ISBN: N.A

Category: Mathematics

Page: 334

View: 9671

"How does one summarize a book about rainforest adventures, probability, the Cafè Luxembourg, Euclid, and prime numbers? This is an absolutely delightful book, full of insight, suffused with gentle humor-a picaresque novel of mathematics. What do we mean by proof and persuasion in the most symbolic of fields, Mazur asks, and responds with stories that effortlessly guide us to the heartland of reason. This is a fabulous book, in all senses, from beginning to end." Peter Galison, Mallinckrodt Professor of the History of Science and of Physics, Harvard University, author of Einstein''s Clocks, Poincairè''s Maps "Euclid in the Rainforest is beautifully written and packed with insights into how mathemeticians convince themselves they are right. Mazur is a talented teacher who knows his subject inside out, and his delightful stories take his readers to the heart of mathematics-logic and proof. This original and charming book is accessible to anyone, and deserves major success." Ian Stewart, Professor of Mathematics, University of Warwick, author of Math Hysteria, and Flatterland "My chief regret after more than forty years of trying to teach concepts in mathematics and statistics to biology students is that I did not have Mazur''s book available. It should be assigned reading for all undergraduates in science." R. C. Lewontin, Alexander Agassiz Professor, Harvard University "Mazur is an excellent storyteller. Euclid in the Rainforest is a warm and creative masterpiece that reveals the spirit of mathematics." Tadatoshi Akiba, Mayor of the City of Hiroshima "Mazur has a wonderfully engaging writing style, and a marvelous feel for the interface between the physical world as we experience it every day and the mathematical one. This book is a pleasure to read." Joseph Harris, Chair, Department of Mathematics, Harvard University "Mazur''s Euclid in the Rainforest is written with warmth and a lifetime''s attachment to the things of this world and the forms of the world it manifests. Here are the pleasures of sitting with the author, as a young man, learning his craft in a Greenwich Village cafe from an old professor; and later on, teaching the craft in turn to an eight-year-old. Inspiring stuff. By overhearing such conversations as these, the reader too is led to savor the beauties of mathematics." Robert and Ellen Kaplan, co-founders of The Math Circle, and co-authors of The Art of the Infinite: The Pleasures of Mathematics "Delightful, full of insight, suffused with gentle_humor-a picaresque novel of mathematics." Peter Galison How do we know that something is true? How do we know that things really are what they seem? Many people think math and science are the ultimate authorities on reality. Math defines abstract, universal truths; scientific truths are established by experiments in the real world-but underlying both kinds of knowledge is logic. In Euclid in the Rainforest, Joseph Mazur examines the three types of logic that are the basis of our knowledge about the world we live in: the classical logic of the Ancient Greeks, the weird logic of infinity, and the everyday logic of plausible reasoning that guides all science today. Through tales of great moments in the history of math and science, stories of students making discoveries in the classroom, and his own quirky adventures in the Greek Islands, New York, and the jungles of South America, Mazur illuminates how we uncover truth in the tangled web of our experiences-and convince ourselves that we are right. Euclid took the incipient logic of his time to new heights with his magnificent geometry, the whole edifice of which is built on just five assumptions. That logic rigorously defined proof, cleverly avoiding problems with infinity that were introduced when the Pythagoreans discovered that the diagonal of a square could not be measured and Zeno of Elea used infinity to argue that motion is logically impossible. It would be almost two millenia, though, before a good understanding of the logic infinity emerged and made all kinds of technology possible. Plausible reasoning-which is based on the math of probability- lets us assess the general conclusions we derive from specific cases in scientific studies. It gives us the confidence to believe that a conclusion reached today will be true tomorrow, ultimately driving scientific, and human, progress. In lucid, ebullient language, Mazur, a professor of mathematics for over thirty years, makes the fundamentals of the three fundamental types of logic widely accessible for the first time. Deeper questions at the heart of the process of discovery are laid bare: What does it mean to believe a proof? Where does the finite end and the infinite begin? How can we be sure that the statements we make about the material world are accurate? Exposing the surprising roles of intuition, belief and persuasion in logic and math, Mazur tells a real-life detective story that has been going on for millenia: the pursuit of ultimate truth about our world, our universe, and ourselves. © Copyright Pearson Education. All rights reserved.
Release

Logic, Truth and the Modalities

From a Phenomenological Perspective

Author: J.N. Mohanty

Publisher: Springer Science & Business Media

ISBN: 9401721130

Category: Philosophy

Page: 238

View: 1420

This volume is a collection of my essays on philosophy of logic from a phenomenological perspective. They deal with the four kinds of logic I have been concerned with: formal logic, transcendental logic, speculative logic and hermeneutic logic. Of these, only one, the essay on Hegel, touches upon 'speculative logic', and two, those on Heidegger and Konig, are concerned with hermeneutic logic. The rest have to do with Husser! and Kant. I have not tried to show that the four logics are compatible. I believe, they are--once they are given a phenomenological underpinning. The original plan of writing an Introduction in which the issues would have to be formulated, developed and brought together, was abandoned in favor of writing an Introductory Essay on the 'origin'- in the phenomenological sense -of logic. J.N.M. Philadelphia INTRODUCTION: THE ORIGIN OF LOGIC The question of the origin of logic may pertain to historical origin (When did it all begin? Who founded the science of logic?), psychological origin (When, in the course of its mental development, does the child learn logical operations?), cultural origin (What cultural - theological, metaphysical and linguisti- conditions make such a discipline as logic possible?), or transcendental constitutive origin (What sorts of acts and/or practices make logic possible?).
Release