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: 1141

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.

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: 1207

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.

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: 2532

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.

Current Contents

Arts & humanities

Author: Institute for Scientific Information (Philadelphia)

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 873


Discover

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Science

Page: N.A

View: 4343


Horizons: Exploring the Universe

Author: Michael A. Seeds,Dana Backman

Publisher: Cengage Learning

ISBN: 1133610633

Category: Science

Page: 488

View: 3631

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.

The Saga of Mathematics

A Brief History

Author: Marty Lewinter,William Widulski

Publisher: Pearson College Division

ISBN: N.A

Category: Mathematics

Page: 302

View: 3421

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.

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: 2641

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.

Keeper of the Celtic Secrets

Author: Betty Rhodes

Publisher: Betty Rhodes

ISBN: 159800283X

Category: Fiction

Page: 336

View: 669

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.

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: 9629

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?).

Phenomenological Aspects of Wittgenstein’s Philosophy

Author: B.-C. Park

Publisher: Springer

ISBN: 9401151512

Category: Philosophy

Page: 260

View: 1242

In his writings around 1930, Wittgenstein relates his philosophy in different ways to the idea of phenomenology. He indicates that his main philosophical project had earlier been the construction of a purely phenomenological language, and even after having given up this project he believed that "the world we live in is the world of sense-data,,,l that is, of phenomenological objects. However, a problem is posed by the fact that he does not appear ever to have given a full, explicit account of what he means by his 'phenomenology', 'phenomenological language', or 'phenomenological problems'. In this book, I have tried to unravel the nature of Wittgenstein's phenomenology and to examine its importance for his entire work in philosophy. Phenomenology can be characterized as philosophy whose primary concern is what is immediately given in one's experience. This 'immediately given' is not merely impressions inside one's mind, but includes also the part of objective reality that impinges upon one's consciousness. Thus, an aim of phenomenological enterprise is to grasp this objective reality by attending to immediate experience. Husserl's phenomenology is in fact a case in point.

Reference, Truth and Conceptual Schemes

A Defense of Internal Realism

Author: G. Forrai

Publisher: Springer Science & Business Media

ISBN: 9401728682

Category: Philosophy

Page: 163

View: 1908

1. HISTORICAL BACKGROUND The purpose of the book is to develop internal realism, the metaphysical-episte mological doctrine initiated by Hilary Putnam (Reason, Truth and History, "Introduction", Many Faces). In doing so I shall rely - sometimes quite heavily - on the notion of conceptual scheme. I shall use the notion in a somewhat idiosyncratic way, which, however, has some affinities with the ways the notion has been used during its history. So I shall start by sketching the history of the notion. This will provide some background, and it will also give opportunity to raise some of the most important problems I will have to solve in the later chapters. The story starts with Kant. Kant thought that the world as we know it, the world of tables, chairs and hippopotami, is constituted in part by the human mind. His cen tral argument relied on an analysis of space and time, and presupposed his famous doctrine that knowledge cannot extend beyond all possible experience. It is a central property of experience - he claimed - that it is structured spatially and temporally. However, for various reasons, space and time cannot be features of the world, as it is independently of our experience. So he concluded that they must be the forms of human sensibility, i. e. necessary ingredients of the way things appear to our senses.