To express the natural meaning of uncertainty, we must not be confined to Shannon's information theory/Turing machine computability. At this point, we return to the foundational philosophy of mathematics: Geometry is more complete than arithmetic. Geometry represents the physical structure of nature, while arithmetic is an interpretation by the human brain. This indicates: Geometry is better at expressing the true information presented by nature. BTC is a man-made product that conveys true value information through geometric structures.