« The Algebra of Tat Tvam Asi »

Any awareness is self-awareness.  To be aware, an entity [a system] has to distinguish Self from Other.  Thus, any awareness is other-awareness.  

To sum up:

awareness = Self-awareness = Other-awareness.

Now, let us simplify this equation a bit.  If you had an equation "x = Sx = Ox," you could drop the "x" altogether, right?  Right.  And you'd get: "1 = S = O"

Algebraic simplifications aside, here's what we started with:

awareness = Self-awareness = Other-awareness

And, here's what this means:

1 = Self = Other [in the sense that You and I are One and the Same]

This is what I mean by the Algebra of Tat Tvam Asi (which in Sanskrit means "I am You").

Enjoy the Equation of Subject-Object Equality [i.e. the Equation of Nonduality].