The Infinite

The Infinite

3.95 (42 ratings by Goodreads)
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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.
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Product details

  • Paperback | 296 pages
  • 140 x 216 x 17.02mm | 363g
  • London, United Kingdom
  • English
  • New edition
  • 2nd New edition
  • 0415252857
  • 9780415252850
  • 1,174,148

Table of 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
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Review quote

'Moore's book points to deep and unresolved issues in the philosophy of mathematics, and even deeper issues in general philosophy ... It deserves serious study by both mathematicians and philosophers.' - Thomas Tymoczko, Philosophia Mathematica

'[Moore's treatment of] the problems with which the history of thought about the infinite confronts us today ... shows that questions concerning the nature and existence of the infinte are still very much alive ... The importance of [his] book lies ... in its highly stimulating account of the nature of infinity and its bold defence of finitism.' - W.L.Craig, International Philosophical Quarterly
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Rating details

42 ratings
3.95 out of 5 stars
5 33% (14)
4 45% (19)
3 10% (4)
2 7% (3)
1 5% (2)
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