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.
Mathematical Reasoning and the Physical Universe
Author: Ernest Zebrowski
Publisher: Rutgers University Press
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.
Human Evolution and the Archaeology of Thought
Author: John F. Hoffecker
Publisher: Columbia University Press
Category: Social Science
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.
Author: Carlos R. Bovell
Publisher: Wipf and Stock Publishers
zur Tiefenzeit des technischen Hörens und Sehens
Author: Siegfried Zielinski
Category: Mass media
Arts & humanities
Author: Institute for Scientific Information (Philadelphia)
Category: American literature
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.
Author: Michael A. Seeds,Dana Backman
Publisher: Cengage Learning
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.
A Brief History
Author: Marty Lewinter,William Widulski
Publisher: Pearson College Division
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.
Biological Species, Ontology, and the Metaphysics of Biology
Author: David N. Stamos
Publisher: Lexington Books
Author: H.W. Wilson Company
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?).
From a Phenomenological Perspective
Author: J.N. Mohanty
Publisher: Springer Science & Business Media
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.
A Defense of Internal Realism
Author: G. Forrai
Publisher: Springer Science & Business Media