(eBook PDF) The Infinite 3rd Edition by A.W. Moore – Digital Ebook – Instant Delivery Download

Product details:

• ISBN-10 ‏ : ‎ 1138504254
• ISBN-13 ‏ : ‎ 978-1138504257
• Author: A.W. Moore

We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantor’s remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and Gödel, and deriving inspiration from Wittgenstein. He concludes this part with a discussion of death and human finitude.

Table contents:

Part I: The 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

9. Reactions

Part II: Infinity Assessed

10. Transfinite Mathematics

11. The Lowenheim–Skolem theorem

12. Gödel’s Theorem

13. Saying and Showing

14. Infinity Assessed. The History Reassessed

15. Human Finitude

Part III: Infinity Superseded

16. Infinity Reassessed. The History Reassessed Anew

17. Learning How to be Finite

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