ABSTRACT

From the Preface: This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play.

chapter 1|8 pages

What Is Mathematics?

chapter 5|9 pages

What Is Mathematical Intuition?

chapter 6|3 pages

Are People Hard Wired to Do Mathematics?

chapter 7|10 pages

Why Counting Is Impossible

chapter 8|5 pages

Quantification in Today's World

chapter 9|3 pages

When Should One Add Two Numbers?

chapter 10|3 pages

Category Dilemmas

chapter 11|6 pages

Deductive Mathematics

chapter 14|4 pages

Mathematical Proof and Its Discontents

chapter 16|4 pages

Rules and Their Exceptions

chapter 18|8 pages

Inconsistencies and Their Virtues

chapter 19|4 pages

On Ambiguity in Mathematics

chapter 21|6 pages

Simplicity, Complexity, Beauty

chapter 23|16 pages

When Is a Problem Solved?

chapter 24|5 pages

What Is Meant by the Word “Random”?

chapter 25|5 pages

The Paradox of “Hitting It Big”

chapter 27|5 pages

Astrology as Early Applied Mathematics

chapter 28|5 pages

Mumbo Math

chapter 29|3 pages

Math Mixes It Up with Baseball

chapter 31|12 pages

The Media and Mathematics Look at Each Other

chapter 32|5 pages

Platonism vs. Social Constructivism

chapter 33|6 pages

Mathematics at the Razor's Edge