ABSTRACT

Anyone who has pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of this question. Adrian Moore's historical study of the infinite covers all its aspects, from the mathematical to the mystical.

part |2 pages

Introduction: Paradoxes of the Infinite

chapter 1|2 pages

Paradoxes of the infinitely small

chapter 2|4 pages

Paradoxes of the infinitely big

chapter 3|2 pages

Paradoxes of the one and the many

chapter 4|4 pages

Paradoxes of thought about the infinite

part |2 pages

Part One: The History

chapter 1|17 pages

Early Greek Thought

chapter 2|11 pages

Aristotle

chapter 3|12 pages

Medieval and Renaissance Thought

chapter 4|18 pages

The Calculus

chapter 5|9 pages

The Rationalists and the Empiricists

chapter 6|12 pages

Kant

chapter 7|14 pages

Post-Kantian Metaphysics of the Infinite

chapter 9|14 pages

Reactions

part |2 pages

Part Two: Infinity Assessed

chapter 10|12 pages

Transfinite Mathematics

chapter 11|13 pages

The Löwenheim-Skolem Theorem

chapter 12|14 pages

Gödel’s Theorem

chapter 13|15 pages

Saying and Showing

chapter 14|17 pages

Infinity Assessed. The History Reassessed

chapter 15|16 pages

Human Finitude