Secrets of Infinity examines infinity as it has been studied since antiquity, beginning with the classical figures from Greece and Rome. In an entertaining and practical way, readers will discover that infinity is not limited to the mathematical concept as represented by the symbol nor its metaphysical concept as the indefinable concept of eternity, but in fact, it resides in a variety of disciplines, a multitude of contexts and has a far-reaching influence on human existence.
Secrets of Infinity organizes the 150 articles into six subject areas:
Engaging and free of jargon, Secrets of Infinity helps to demystify the elusive infinity and bring it closer to modern concepts and understanding. Thinking readers and students will find enjoyment and insight on its pages.
Bio: | Antonio Lamúa has a background in science and is a regular contributor to international magazines. He is also the author of The Secrets of Science. |
Preface: | INTRODUCTION The concept of infinity is a highly complex enigma, and its meaning has been considered by many disparate approaches. Thus the best method to elucidate the topic for the general reader is to explore infinity as it is studied by particular fields, including science, mathematics, technology, art, philosophy and symbology. One useful starting point, one we find at the heart of any discussion of infinity, is the notion that what is infinite is never-ending, although beyond that starting point the arguments and ideas diverge in seemingly endless ways. In antiquity, the idea of infiinity was studied by classical philosophers from Greece and Rome, such as Zeno of Elea, Parmenides, Archimedes and Pythagoras. Aristotle was the primary figure who, around 350 BC, established a school of thought regarding infinity that would be further articulated by succeeding scholars. One of Aristotle's greatest contributions to the study of infinity was the idea that "The whole is greater than the sum of its parts." In more recent times, mathematician Georg Cantor used set theory to further explore this concept, now known as Cantor's Theorem. Yet no single theorem or thinker has proven capable of forming a "complete" vision of infinity. Analysis of multiple approaches from varied sources is necessary to begin to capture its true scope. This book offers 150 different angles from which to consider the unresolved enigma that is infinity. And though the discussion remains unresolved, this exploration is sure to be illuminating. |
TOC: | TABLE OF CONTENTS INTRODUCTION
SCIENCE
MATHEMATICS
TECHNOLOGY
ART
PHILOSOPHY
SYMBOLOGY
PHOTO CREDITS |