Sorry, no online dictionaries contain the exact phrase arithmetical transfinite recursion.

Reverse dictionary results:
1. duplication
2. interval
3. measure
4. period
5. tree
6. infinity
7. power
8. powered
9. algebraic
10. algorithm
11. calculus
12. code
13. combinatorial
14. constrained
15. equation
16. graph
17. integral
18. inverse
19. isomorphism
20. multiple
21. relation
22. sequence
23. bounded
24. computable
25. countable
26. limited
27. recursive
28. recursively
29. alliteration
30. anniversary
31. antiperiodic
32. association
33. atavism
34. atavistic
35. biogenesis
36. cadence
37. chronic
38. consonance
39. continual
40. course

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