With that kind of rationale man I got half a mind
To have another half of glass of wine

from Eminem – Deja Vu Lyrics on Rap Genius

Meaning

The rationale that if he only drinks half he will be fine continues on in this line. Half a mind here is a double entendre suggesting he is kind of thinking about it and that he is having an internal conflict. Half of his mind wants to stay clean and the other half says its ok to use

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