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Full Description
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.
Contents
History 1. Early Greek thought 2. Aristotle 3. Medieval and Renaissance thought 4. The Calculus 5. The Rationalists and the Empiricists 6. Kant 7. Post-Kantian Metaphysics of the Infinite 8. The Mathematics of the Infinite, and the impact of Cantor Reactions Part 2: Infinity Assessed 10. Transfinite Mathematics 11. The Lowenheim-Skolem Theorem 12. Godel's Theorem 13. Saying and Showing 14. Infinity assessed. The History re-assessed 15. Human Finitude