Volume I: Part I. Games and Scales: Introduction to Part I; 1. Notes on the theory of scales; 2. Propagation of the scale property using games; 3. Scales on $\sum_1^1$-sets; 4. Inductive scales on inductive sets; 5. The extent of scales in $\mathbf{L}(\mathbb{R})$; 6. The largest countable this, that, and the other; 7. Scales in $\mathbf{L}(\mathbb{R})$; 8. Scales in $\mathbf{K}(\mathbb{R})$; 9. The real game quantifier propagates scales; 10. Long games; 11. The length-$\omega_1$ open game quantifier propagates scales; Part II. Suslin Cardinals, Partition Properties, Homogeneity: Introduction to Part II; 12. Suslin cardinals, $\kappa$-Suslin sets, and the scale property in the hyperprojective hierarchy; 13. The axiom of determinacy, strong partition properties, and nonsingular measures; 14. The equivalence of partition properties and determinacy; 15. Generic codes for uncountable ordinals, partition properties, and elementary embeddings; 16. A coding theorem for measures; 17. The tree of a Moschovakis scale is homogeneous; 18. Weakly homogeneous trees; Bibliography; Volume II: Part III. Wadge Degrees and Pointclasses: Introduction to Part III; 19. Wadge degrees and descriptive set theory; 20. A note on Wadge degrees; 21. Some results in the Wadge hierarchy of Borel sets; 22. The strength of Borel Wadge determinacy; 23. Closure properties of pointclasses; 24. The axiom of determinacy and the prewellordering property; 25. Pointclasses and wellordered unions; 26. More closure properties of pointclasses; 27. More measures from AD; 28. Early investigations of the degress of Borel sets; Part IV. Projective Ordinals: Introduction to Part IV; 29. Homogeneous trees and projective scales; 30. AD and projective ordinals; 31. A $\Delta_3^1$ coding of the subsets of $\omega_\omega$; 32. AD and projective ordinals; 33. Projective sets and cardinal numbers: some questions related to the continuum problem; 34. Regular cardinals without the weak partition property; Bibliography; Volume III: Part V. HOD and its Local Versions: Ordinal Definability in Models of Determinacy: Introduction to Part V; 35. Partially playful universes; 36. Ordinal games and playful models; 37. Measurable cardinals in playful models; 38. Introduction to Q-theory; 39. On the theory of $\prod_3^1$ sets of reals, II; 40. An inner models proof of the Kechris-Martin theorem; 41. A theorem of Woodin on mouse sets; 42. HOD as a core model; Part VI. Recursion Theory: Recursion Theoretic Papers: Introduction to Part VI; 43. On recursion in E and semi-Spector classes; 44. On Spector classes; 45. Trees and degrees; 46. Definable functions on degrees; 47. $\prod_2^1$ monotone inductive definitions; 48. Martin's conjecture, arithmetic equivalence, and countable Borel equivalence relations; Bibliography; Volume IV: Part VII. Extensions of AD, Models with Choice: A Brief History of Determinacy; 49. 'AD plus uniformization' is equivalent to 'half $AD_\mathbb{R}$'; 50. The independence of DC from AD; 51. Games of countable length; 52. Some consistency results in ZFC using AD; 53. Subsets of $\aleph_1$ constructible from a real; 54. AD and the uniqueness of the supercompact measures on $\wp_{\omega_1}(\lambda)$; 55. The extender algebra and $\sum_1^2$-absoluteness; Part VIII. Other Topics: 56. On Vaught's conjecture; 57. Capacities and analytic sets; 58. More saturated ideals; 59. The fourteen Victoria Delfino problems and their status in the year 2020; Bibliography.
