And it was not until the 18th century that Swiss mathematician Johann Heinrich Lambert
proved that Pi is "irrational," meaning that the pattern of its ever-advancing digits never ceases and never repeats.
According to a document hidden in a thick volume at the Secret Prussian State Archive in Berlin-Dahlem, which Tonelli could not consider, the Indications for the Students of the Philosophical Faculty, approved in 1770 at the University of Konigsberg, the program for the first semester included, "a) Philosophical and General Encyclopaedia; b) Logic; c) Aesthetics," while that for the second semester included only, "a) Metaphysics."(12) Considering that the "Architectonic of Pure Reason"(13) could have been the text--as Johann Heinrich Lambert
thought it did(14)--for the first part of a course on philosophical and general encyclopaedia, it is amazing to realize that each of the courses just mentioned finds a corresponding, ample exposition in the Critique of Pure Reason.(15)