Human beings privilege one side of a distinction over the other. Right, not left and left, not right are mirror opposites, but most people use one hand in preference to the other. Generally in culture matters associated with the left hand are regarded less favourably than matters associated with the right. Think of the origin of the word “sinister”. However, the two sides of mirror opposite pairs should be treated symmetrically when making mathematical calculations. For example me, not you ought not to be privileged over you, not me, and mine, not yours ought not to be privileged over yours, not mine. Chiralkine achieves this by working with all possible permutations of symbols and meanings.