Brother of the Quill
Indeed, you caught the word, sententia, which like many Latin words has several related meanings: The oath asks for judgment or determination. However, the word also means opinion, feeling or will.Indeed, a toughie. I think the point is, the Censor is asking a man to swear, using the phrase that was used for formal oath-taking, 'ex animi tui sententia', literally, 'by the judgement of your spirit' - 'Do you, by the judgement of your spirit, have a wife?' to which the wag replies, 'Indeed I have a wife, but, by Hercules, not according to the judgement of my spirit' i.e. 'she's certainly not what I want'. The Censor was not amused.