Sorry, no online dictionaries contain the exact phrase valid independently of observation.

Reverse dictionary results:
1. objective
2. independent
3. absolute
4. external
5. intrinsic
6. inbeing
7. extra
8. extrinsic reward
9. inherency
10. intrinsic reward
11. ascititious
12. extrality
13. immanent
14. normal
15. singularist
16. externality
17. extraneous
18. extrinsic
19. extrinsicality
20. influenced
21. normality
22. normie
23. original
24. singularity
25. subsistent
26. supernumerary
27. unigeniture
28. advenient
29. egality
30. equal opportunity
31. exception
32. exogenous
33. exterritoriality
34. extrinsical
35. heteronomous

You can look up the words in the phrase individually using these links:   valid ?   independently ?   of ?   observation ?
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