Fundamentals of Arithmetic; Fundamentals of Music

V PREFACE.

from which it is likely that the title also was taken, which is read in the Bamberg codex H.I. N. 13 (d) before the index of titles of Book II of De Institutione Arithmetica (p. 72, v. 9, variant reading). And it does not seem to me to be an obstacle that Boethius, in the fortieth chapter of Book II of De Institutione Arithmetica (p. 137, v. 7), says that he is concluding his arithmetic introduction.

I thought the inscription of the other work was made manifest by both the tenth chapter of Book III of De Institutione Musica (p. 283, v. 9): that which we have undertaken by the musical institution, and by the sixteenth chapter of the same Book III (p. 300, v. 2): what remains for the musical institution, and by the seventh chapter of Book V (p. 358, v. 2): which we arranged in the second book of this institution, and below (v. 9) it must be sought from the second book of this musical institution and the fourth. Hence, it seems that the formula used by the person who created the titles and composed their indices (e.g., p. 225, v. 16) the book on music, that is, on harmonic institution originated.

To investigate the true inscription of those books which Boethius is said to have written on geometry ✠ (The mark indicates a point of critical inquiry) would be nothing other than to waste effort and time. It is now established among learned men that those books are by no means to be attributed to Boethius, which not a few manuscripts offer in addition to those two that are found in the most excellent Erlangen and Chartres codices 5). Cantor, Mathematical Contributions, pp. 196–197.. Nor do I personally contend that even these two books were composed by Boethius, with Cantor in particular opposing this. The dispute is still under judgment, which...