Just so there exists a duality. When the weather slinks back into a Nihilistic puddle of rain and mist, gray and blurring the boundary between full consciousness and whatever its opposite is.
The gray that is the mixture, the Duality of black and white.
A most Singular moment of Symmetry, when orthogonality does not necessarily imply independence. Any Flatland resident can safely say 2-D is more interesting than 1-D...
Juggling 2 objects with 2 hands is relatively simple. But to juggle 3 objects, one needs to juggle 2 with one hand first.
When Two extrapolates to Three, the matrices of situational hypotheses are harder to determine and invert. That why they called it a determinant?
Orthogonality does not imply independence.