We propose a new paradigm for computational knowledge discovery, called VOX (View Oriented eXploration). Recent research has revealed that actual discoveries cannot be achieved using only component technologies such as machine learning theory or data mining algorithms. Recognizing how the computer can assist the actual discovery tasks, we developed a solution to this problem. Our aim is to construct a principle of computational knowledge discovery, which will be used for building actual applications or discovery systems, and for accelerating such entire processes. VOX is a mathematical abstraction of knowledge discovery processes, and provides a unified description method for the discovery processes. We present advantages obtained by using VOX. Through an actual computational experiment, we show the usefulness of this new paradigm. We also designed a programming language based on this concept. The language is called VML (View Modeling Language), which is defined as an extension of a functional language ML. Finally, we present the future plans and directions in this research.