An object can be a physical identifier (symbol identified by its physical properties) or a meaning. A physical identifier is something real. A meaning is something imaginary. For example a white square and a black square can be physical identifiers and same and distinct can be meanings. Either meaning could be tethered to either physical identifier, but it has been assumed that for mathematics to work, each physical identifier must always be tethered to one and the same meaning. For example, the physical identifier 1 is tethered to the meaning distinct and 0 is tethered to the meaning same.
Chiralkine does not work in that way. It treats all possible permutations of physical identifiers and meanings symmetrically.