The idea of the “double project” that has been developed by Paik Nak-chung for the last 20 years presupposes a kind of down-to-earth attitude in facing capitalist modernity; it is not one of the numerous infertile theories hatched in the academia, since its ultimate goal consists in concertedly adapting to and overcoming modernity not just in its theoretical refinements, or sophistications in one way or another. Hence arise the intellectual challenges of vindicating and realizing the object of the double project. Logically speaking, if capitalist modernity is a truly worldwide reality, the task of simultaneously adapting to and overcoming it is globally prodigious, too dominant de facto for any one to properly deal with; a sort of conceptual measure by which the task itself should be rigorously defined is naturally called upon. Thereby the fulcrum notion “hy˘ondaesung” taken up and proposed by this paper should not be one of the supplementary devices to the double project; rather, it is a theoretical as well as practical necessity in clarifying more adequately the aim of adapting to and overcoming modernity in capitalism