Sorry, no online dictionaries contain the exact phrase duality principle for sets.
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Reverse dictionary results:
1. dual
 2. two
3. dualism
4. number
5. numbering
6. numbing
7. starter
8. cover
9. covers
10. document
 11. pair
12. returns
13. dissentient
14. double indemnity
15. empower
16. lead
17. linesman
18. records
19. referee
20. authority
 21. cycle
22. sanction
23. sanctioned
24. sanctioning
25. accountant
26. accredit
27. adviser
28. adware
29. alkane
30. alkene
 31. austria-hungary
32. backgrounder
33. bass
34. bilocation
35. bishop
36. burton
37. caption
38. case
39. censor
40. certificate

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You can look up the words in the phrase individually using these links:   duality ?   principle ?   for ?   sets ?
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