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S15c. Justifying the foundations of a theory
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Quantum mechanics is a somewhat unintuitive theory, and generated
a lot of foundational literature aimed at justification and 
explanation of the conceptual basis.

Justification of the basic postulates of any theory is necessarily
circular. If it were not, the postulates were not basic but derivable.

One must take all the basic postulates as a single foundation
on which everything else rests without circularity. 
But the basic postulates themselves can only be motivated, but not 
derived.

Most people simply trust that tradition selected good foundations.
If you want to probe that trust you can go into studying the sea of
publications on the foundations of quantum mechanics. But unless
you are very dedicated and spend a lot of effort on it,
it is likely that you'll drown there before having found satisfaction...