The Plato Machine

In this note, it is demonstrated first by several examples that with the development of theoretical research in physics, materials science and engineering, and advanced manufacturing technology, rigorous mathematical theorems and equations have been already materialized by novel physical objects of practical significance. It is then proposed that this route may point to an emerging paradigm, which is termed the Plato machine, for designing and manufacturing products by a direct integration of mathematics and advanced manufacturing technology. Finally, in view of the advances of AI for science and engineering, it is pointed out that this process may be greatly expedited and realized by AI with proper human supervision for the well-being and progress of mankind.