Book III - Additional Structural Data About Languages And The Empirical World................................658Prefatory Remarks........................................................................................659Part VIII - On the structure of mathematics.............................................................66432. On the semantics of the differential calculus....................................................665A. Introductory..................................................................................665B. On the differential calculus..................................................................6661. General considerations....................................................................6662. Maxima and minima.........................................................................6803. Curvature.................................................................................6824. Velocity..................................................................................683C. On the integral calculus......................................................................684D. Further applications..........................................................................6861. Partial differentiation...................................................................6862. Differential equations....................................................................6873. Methods of approximation..................................................................6884. Periodic functions and waves..............................................................68933. On linearity.....................................................................................69534. On geometry......................................................................................707A. Introductory..................................................................................707B. On the notion of the 'internal theory of surfaces'............................................713C. Space-Time....................................................................................718D. The application of geometrical notions to cerebral localization...............................722