Theorizing 2 + 2 = 5: A Reality Outside of the Mind?

Suffice it to say the senses put us into contact (don't really know what contact means here, but anyway...) with a mind-independent reality.  Of course this begs the question: does 2 + 2 = 4 if there is no mind (or senses) coming into contact with the question (or the equation)?  That is, is someone perceiving (or thinking) 2 + 2 = 4 necessary for two and two to actually make four?  An affirmative answer should appear to depend upon some sort of separation of grammar, mathematics, and the stream-of-life where 2 + 2 = 4. This would have to be a place, however, where existence is cleared of all experience, a place beyond time, a place outside of space...  For as far as I can peer into this place, well, it seems to be a pretty odd environment.  That oddness itself smacks of non-existence. Really, what is it I am actually in contact with here?  Therefore, I conclude that two and two do not necessarily have to make four in a place that does not exist. But, conversely, could 2 + 2 = 5 be true in this place that does not exist?  The answer...  yes!  Two and two could make five in a place that does not exist, outside of space, beyond time, a place clear of all experience. For here--that is nowhere--anything might be possible. But as to the possibility of nothing at all, well--especially considering all of the above--that does seem absurd, doesn't it?