Ibid., Aphorism 105-107:--"Arithmetic is the science of the second idea, or that of time or motion, or life. It is therefore the first science. Mathematics not only begin with it, but creation also, with the becoming of time and of life. Arithmetic is, accordingly, the truly absolute or divine science; and therefore every thing in it is also directly certain, because every thing in it resembles the Divine. Theology is arithmetic personified."--"A natural thing is nothing but a self-moving number. An organic or living thing is a number moving itself out of itself or spontaneously: an inorganic thing, however, is a number moved by another thing: now as this other thing is also a real number, so then is every inorganic thing a number moved by another number, and so on _ad infinitum_. The movements in nature are only movements of numbers by numbers: even as arithmetical computation is none other than a movement of numbers by numbers; but with this difference--that in the latter, this operates in an ideal manner, in the former after a real."] [Footnote 29: Philolaus, ed. Boeckh, p. 139. seqq. [Greek: Theôrei=n dei= ta\ e)/rga kai\ ta\n e)ssi/an (ou)si/an) tô= a)rithmô= katta\n du/namin, a(/tis e)nti\ e)n ta=| deka/di; mega/la ga\r kai\ pantelê\s kai\ pantoergo\s kai\ thei/ô kai\ ou)rani/ô bi/ô kai\ a)nthrôpi/nô a)rcha\ kai\ a(gemô\n . . . a)/neu de\ tau/tas pa/nta a)/peira kai\ a)/dêla kai\ a)phanê=; nomika\ ga\r a( phu/sis tô= a)rithmô= kai\ a(gemonika\ kai\ didaskalika\ tô= a)poroume/nô panto\s kai\ a)gnooume/nô panti/]. Compare the Fr. p. 58, of the same work. According to Plato, as well as the Pythagoreans, number extended to ten, and not higher: all above ten were multiples and increments of ten. (Aristot. Physic. iii. 6, p. 203, b. 30).] [Side-note: The Monas--[Greek: a)rchê/], or principle of Number--geometrical conception of number--symbolical attributes of the first ten numbers, especially of the Dekad.]