adjective
categorical
kat-uh-GOR-ih-kl/ˌkætəˈɡɔːrɪkl/
Stated firmly and without exceptions or conditions.
The man gives a categorical refusal, raising his palm toward the offered envelope.

Etymology
Public speaking, with a prefix perhaps meaning 'against,' became accusation and then assertion. In logic, a categorical statement asserted something without qualification, giving the adjective its broader sense of absolute or explicit.
In context
William is absolutely categorical about the fact that there is no way he wants anything to do with the family.
More examples
- Her answer is a categorical refusal.
- The statement offers categorical assurance that the event is canceled.
- He avoids making categorical claims without evidence.
Similar words
- unequivocal
- Emphasizes clarity and lack of ambiguity.
- absolute
- Emphasizes having no limits or exceptions.