On the Soul
Recollection

©2006 LaRouche Youth L.L.P.
The Harmony of the World
BOOK IV

ON THE STELLAR RAYS ON THE EARTH, AND THEIR EFFECT ON THE EVENTS IN THE SKY AND OTHER NATURAL PHENOMENA.

Proclus Diadochus, Commentaries on Euclid I, Book I:

On the use of mathematics in Natural Philosophy and Politics, which most of all concern the Harmonic part of it on radiations.

It furnishes everything that is important for the contemplation of nature, declaring the most splendid order of the ratios, according to which the whole of this universe has been constructed, and the analogy of the proportions, which connects together everything in the world, as Timaeus says somewhere, and which restores friendship between things which are in conflict, and relations and mutual affection between those which are widely separated.

And a little later.

Hence it is also possible to hunt out by logical thinking the appropriate pattern of angles.

Again.

In my opinion this is also what Timaeus meant, when he everywhere describes his reflections on the nature of the whole universe in mathematical terms, depicts the origin of the elements in numbers and figures, and states that their powers and properties, and their effects, were taken from these (figures), the acute and obtuse among the angles, and the rough and smooth among the sides, and so forth, establishing the causes of all kinds of mutations.

Indeed on the study of Politics, as it is called, how could it be denied that mathematics confers very many and remarkable benefits, as it measures out the proper occasions for conducting affairs, and the various revolutions in the whole of the universe, etc., and the Harmonic Numbers, which control life or are responsible for incongruence, and universally give support to hastening or slackening of motions, etc.



On the Soul