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Towner George - Thinking Like a Computer

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Thinking Like a Computer
Thinking Like a Computer

An Introduction to Digital Reality

George Towner

Austin Macauley Publishers

2020-09-30

About the Author

The author, George Towner, studied logic and philosophy at Berkeley, then became assistant director of the Kaiser Foundation Research Institute, working on the biology of primitive organisms. When the computer revolution reached Silicon Valley, he switched to information technology and served 30 years on the senior technical staff at Apple. In his independent research, Towner analyzed how computers evolved from early number crunchers into todays smart digital assistants. Thinking Like a Computer presents a compelling new explanation, based in set theory, of how both people and computers understand reality.

Copyright Information

George Towner (2020)


All rights reserved. No part of this publication may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other electronic or mechanical methods, without the prior written permission of the publisher, except in the case of brief quotations embodied in critical reviews and certain other noncommercial uses permitted by copyright law. For permission requests, write to the publisher.


Any person who commits any unauthorized act in relation to this publication may be liable to criminal prosecution and civil claims for damages.


Austin Macauley is committed to publishing works of quality and integrity. In this spirit, we are proud to offer this book to our readers; however, the story, the experiences, and the words are the authors alone.


Ordering Information:

Quantity sales: special discounts are available on quantity purchases by corporations, associations, and others. For details, contact the publisher at the address below.


Publishers Cataloging-in-Publication data

Towner, George

Thinking Like a Computer


ISBN 9781645759270 (Paperback)

ISBN 9781645759263 (Hardback)

ISBN 9781645759287 (ePub e-book)


Library of Congress Control Number: 2020916187


www.austinmacauley.com/us


First Published (2020)

Austin Macauley Publishers LLC

40 Wall Street, 28th Floor

New York, NY 10005

USA


mail-usa@austinmacauley.com

+1 (646) 5125767

Introduction

Discoveries made during the last fifty years suggest a new approach to understanding how knowledge supports life.


IF ANY OF MY GRANDCHILDREN grow up to be historians they will marvel at our present age. Beginning in the 1980s, the widespread availability of computing power upended many traditional skills. As a teenager, I learned the rudiments of printing, bookkeeping, and photography. Today, most of what I learned is obsolete. Printing migrated from hot metal to desktop publishing, bookkeeping from paper to spreadsheets, photography from film cameras to telephones. All this and now my car wants to drive itself.

To keep up with the times, I moved to Silicon Valley, learned programming, and joined the engineering staff at Apple. Pure luck gave me entree to the mosh pit that people began calling the digital revolution. During the next 30 years, I watched the revolution unfold and became aware that it affected more than just lifestyles and office work. At Berkeley, I had been trained in logic and philosophy, and afterward I had immersed myself in biology at the Kaiser Foundation Research Institute. At Apple, I was surrounded by rough-and-ready philosophers who were using logic to design machines that acted like living things. I was working with very bright guys who every day solved deeply theoretical problems of human knowledge that would have blown away the likes of Aristotle, Newton, and Kant.

Other Silicon Valley enterprises contributed to this effortSRI, Intel, PARC, NeXT, Google, Adobeand it began to dawn on me that I was in the midst of something like a philosophical laboratory at work. Imaginative people, trying to make machines think, were experimentally challenging the foundations of traditional science.

The upshot was that I gained a new understanding of how knowledge works at the nuts and bolts level. The idea was not that people are like computers. Rather, the idea was that computers were supposed to act like people. All those experiments with hardware and software, all those trials and errors, uncovered novel principles of human knowledge that made sense to me and that worked in machines.

My key discovery was digitization, a complex machine technology developed in the twentieth century. You and I and our computers interact with the world around us in analog ways, yet we are capable of thinking and acting in digital terms. Digitization is not just peculiar to us or to Homo sapiensit is baked into the nature of life itself. In fact, analog-to-digital conversion is one of lifes primary skills. From this insight, Digital Reality Theory was born. The basics of DR Theory can be expressed in seven words:


Life understands existence by constructing digital realities.


A hundred years ago most people would have found this seven-word summary incomprehensible, yet today it makes sense. It took three intellectual developments during the nineteenth and twentieth centuriesevolution, set theory, and digitizationto achieve that change and to make DR Theory possible:

  • During the second half of the nineteenth century, Darwins principle of evolution recast many ideas about life. Among them was the idea of fixed knowledge. How does the world work? was a question that tradition claimed had one answerif only we knew how to find it. Thinkers such as Newton and Kant had searched for the principles behind the development of knowledgeNewton picked mathematics and Kant picked reasoningbut it never occurred to them that life itself evolved and that knowledge changed naturally with it.

  • Set theory was invented in 1874. Mathematician Georg Cantor launched what is now called nave set theory by showing how to construct sets of numbers as real mathematical objects. In the 1920s two logicians, Ernst Zermelo and Abraham Fraenkel, worked out the general rules for constructing sets of elements of any kind and for verifying that the sets were real objects. This became the tightly logical discipline known as axiomatic set theory.

  • Digitization as an information technology originated in the twentieth century. While computers evolved from number crunchers to multimedia processors, their designers invented algorithms for converting analog data to digital form. The science of analog-to-digital conversion was born.

The latter two developments laid the foundation for todays smart computing devices. All such devices, from desktop computers to mobile telephones, are designed to construct sets of digital bits internally to represent external analog phenomena such as images, sounds, events, and even whole artificial realities. Smart devices do this for efficiencydigitization helps them sort out the essential from the trivial and adapt old solutions to new tasks. We and other living things digitize the world we live in for the same reasons. We construct digital realities inside to solve analog problems outside.

DR Theory emerged when the principles of evolution, axiomatic set theory, and the science of digitization were added to traditional theories of knowledge. Books published during the last forty years have presented enough detail about the theory to make its messages clear. The present book summarizes the latest state of DR Theory in six chapters:

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