I have confusion about the exact difference between these two words. I understand that both are used to choose only one condition/situation/thing out of many, but it seems they have different meaning.
For example in following:
I categorically deny the allegation.
I explicitly deny the allegation.
I think "categorically" applies to the "allegation", denying a particular allegation, but "explicitly" applies to subject (I here), denying allegation very clearly. Is that correct?
From Oxford Living Dictionaries:
Explicitly: In a clear and detailed manner, leaving no room for confusion or doubt.
She has explicitly rejected the theory of patriarchy.
Categorically: In a way that is unambiguously explicit and direct.
I categorically deny any involvement in any fraud.