Here the original thinking that genuinely gives meaning to this technical process and truth to the correct results (even the formal truth peculiar to the formal mathesis universalis) is excluded; in this manner it is also excluded in the formal theory of manifolds itself, as in the previous algebraic theory of number and magnitude and in all the other applications of what has been obtained by a technique, without recourse to the genuine scientific meaning; this includes also the application to geometry, the pure mathematics of spatiotemporal shapes.