cat ‧ e ‧ gor ‧ i ‧ cal /ˌkætəˈɡɒrɪk ə l◂, ˌkætɪˈɡɒrɪk ə l◂ $ -ˈɡɔː-, -ˈɡɑː-/ BrE AmE adjective [usually before noun]
[ Date: 1500-1600 ; Language: Late Latin ; Origin: categoricus , from Greek , from kategoria ; ⇨ ↑ category ]
a categorical statement is a clear statement that something is definitely true or false
categorical denial/assurance etc
Can you give us a categorical assurance that no jobs will be lost?