Number and Numbers

I Genealogies: Frege, Dedekind, Peano, Cantor.

1 Greek Number and Modern Number.

2 Frege.

3 Additional Note on a Contemporary Usage of Frege.

4 Dedekind.

5 Peano.

6 Cantor: 'Well-Orderedness' and the Ordinals.

II Concepts: Natural Multiplicities.

7 Transitive Multiplicities.

8 Von Neumann Ordinals.

9 Succession and Limit. The Infinite.

10 Recurrence, or Induction.

11 Natural Whole Numbers.

III Ontology of Number: Definition, Order, Cuts, Types.

12 The Concept of Number: An Evental Nomination Additional Notes On Sets Of Ordinals.

13 Difference and Order of Numbers.

14 The Concept of Sub-Number.

15 Cuts: The Fundamental Theorem.

16 The Numberless Enchantment of the Place of Number.

IV Operational Dimensions.

17 Natural Interlude.

18 Algebra of Numbers.

19 In Conclusion: From Number to Trans-Being.

Index.