5. The idea of the INFINITE (τὸ ἄπειρον)--that which is unlimited and unconditioned, "has no parts, bounds, no beginning, nor middle, nor end."--"Parmenides," §§ 22, 23.
II. The idea of ABSOLUTE BEAUTY (τὸ καλόν)--the formal cause of the universe, and by participation in which all created things have only so far a real beauty.--"Timæus," ch. xi, "Greater Hippias," §§ 17, 18; "Republic," bk. v. ch. 22.
This idea is developed in the human intelligence in its relation to the organic world; as,
1. The Idea of PROPORTION or SYMMETRY (συµµετρἰα)--the proper relation of parts to an organic whole resulting in a harmony (κόσµος), and which relation admits of mathematical expression.--"Timæus," ch. lxix.; "Philebus," § 155 ("Timæus," ch. xi. and xii., where the relation of numerical proportions to material elements is expounded).
2. The idea of DETERMINATE FORM (παράδειγµα ἀρχέτυπος)--the eternal models or archetypes according to which all things are framed, and which admit of geometrical representation.--"Timæus," ch. ix.; "Phædo," §112 ("Timæus," ch. xxviii.-xxxi., where the relation of geometrical forms to material elements is exhibited).
3. The idea of RHYTHM (ῥυθµός)--measured movement in time and space, resulting in melody and grace.--"Republic," bk. iii. ch. xi. and xii.; "Philebus," § 21.
4. The idea of FITNESS or ADAPTATION (χρήσιον)--effectiveness to some purpose or end.--"Greater Hippias," § 35.
5. The idea of PERFECTION (τελειότης)--that which is complete, "a structure which is whole and finished--of whole and perfect parts."--"Timæus," ch. xi., xii., and xliii.
III. The idea of ABSOLUTE GOOD (τὸ ἀγαθόν)--the final cause or reason of all existence, the sun of the invisible world, that pours upon all things the revealing light of truth.