The Limits of Reason

by George Lowell Tollefson

Overview

Why is it that so much in human experience—consciousness, artistic insight, and emotional awareness—is left unaccounted for by mathematics and the physical sciences? And why is it that the faculty of reason becomes self-contradictory at the most exacting levels of scientific investigation? This book explores the underlying limitations of the gift of reason.

Product Details

BN ID:	2940164613501
Publisher:	Palo Flechado Press
Publication date:	10/27/2020
Sold by:	Draft2Digital
Format:	eBook
File size:	570 KB

About the Author

Lowell Tollefson, a former philosophy professor, lives in New Mexico and writes on the subject of philosophy.

Table of Contents

Preface. i

Ideal Concepts. 1

The Right Angle. 21

Logical Implication. 41

Squaring the Circle. 46

Euclid's Triangle. 56

The 5th Postulate. 58

Parallel Lines. 66

The Angle's Origin. 69

The Number System.. 72

Numbers. 83

Unity. 87

The Number Line. 88

Proportion. 93

Prime Numbers. 95

Composite Numbers. 99

The Infinitude of Primes. 104

Mental Focus. 108

The Binary Mind. 115

Probability. 118

Commensurable Relations. 123

"Infinite" Sets. 152

Science and Philosophy. 157

Energy and Change. 160

Space, Time, and Motion. 164

Entropy. 170

Order 173

Microphysical and Macrophysical 178

The Conceptual Reduction. 182

Gravitational Force. 187

Zeno's Paradox. 190

Momentum and Location. 196

Universal Complementarity. 199

The Hidden Dynamic. 202

Instrumental Science. 207

Final Cause. 209

The Discrete Mind. 212

Index of Names. 215

Bibliography. 217