Sorry, no online dictionaries contain the exact phrase set-theoretic union.
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Reverse dictionary results:
1. not set-theoretic
 2. non-set-theoretic
3. -gamy
4. abakan
5. abel
6. abraham lincoln
7. accede
8. accession
9. accouplement
10. accretion
 11. active
12. adhesion
13. adhesiveness
14. adunation
15. afl
16. afl-cio
17. aggregate
18. aggregated
19. aggregation
20. agreement
 21. alaska
22. aldan
23. alignment
24. alliance
25. allies
26. altar
27. althing
28. amalgamation
29. amphimixis
30. amur
 31. anarchy
32. anastomosis
33. angara
34. ankylosis
35. annexation
36. annulated
37. annulment
38. anschluss
39. apprentice
40. apprenticed

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