It's somewhat like the relationship between matter and anti-matter. Like that, your brain will explode. Since anti-matter the size of a rasin can create the energy of a shuttle launch, and the size of your brain is the equivalent of several hundred rasins, the force of the explosion could level several major cities.

No, seriously, your mind will handle it the way it normally handles conflicting values. It'll either go with the one that sounds the most feasible or possibly include them both as meanings.