The Catuskoti

Abstract

An essential principal to Buddhism is non-dualism. However, the Catuskoti is clearly a system still immersed in dualism. This sort of dualism is more like that of the dual in Tao. Taken by themselves, the two relative states contain within themselves the nature of the absolutes. The only thing which differentiates are the notions both, neither. It is much like the yin and yang symbol. However, more accurately as we go on we see a fractal emerge. Hence, the ultimate truth, one in which we seem to conceptually call the more subtle truth is an illusion. The infinite recursion of this extension hints at an ultimate truth arising at ¥. The conception which takes within it this very fractal nature is truly enlightened. A truth which is free from dualism is either entirely immersed within dualism, or it lacks the distinction of truth all together. The use of the Catuskoti serves the purpose to hint ultimately at a non-truth. Speaking in terms of tautologies and ineffables, we will see the Catuskoti is a conceptual elaboration of traditional dualism, absolute true and false. While this itself is a conceptual elaboration of the union of true and false, Sunyata or 0. Sunyata is a conceptual elaboration of itself, which of course cannot be explained conceptually because then it emerges from non-conceptual Sunyata to conceptual Sunyata of 0. We can hint at it by saying, as a truth space, the non-conceptual Sunyata be U, then the set of ineffables of U and tautologies of U forms the conceptual elaboration of U. It should be clear that careful attention to our use of V₄, the Klein 4 group, will be sufficient to realize a conceptual grasp of the non-conceptual Sunyata.