¹ See e.g. John Laird, The Idea of Value, Cambridge, 1929.

² Elie Faure, The Spirit of the Forms (trans. Pach), (New York, 1937, Garden City Pub. Co.), p. 244.

³ Diels, Zeller and Burnet are all good authorities for the knowledge that is current concerning Pythagoras and his school.

⁴ Euclid, Elements, iv. ii.

⁵ Statesman, 285.

⁶ Philebus, 64 E.

⁷ Lysis, 216 C.

⁸ Symposium, 210.

⁹ A good bibliography and discussion of the work of the writers mentioned in the above two paragraphs is to be found in Horace M. Kallen, Art and Freedom (New York, 1942, Duell, Sloan and Pearce), 2 vols., especially vol. ii.

¹⁰ See Collected Papers of Charles S. Peirce (Cambridge, 1931–5, Harvard University Press), especially 5.551, 1.383, and 5.513.

¹¹ But see James Feibleman and Julius W. Friend, “The Structure and Function of Organization” in The Philosophical Review, LIV, 1 (1945), no. 319, p. 19, where the system which is partly applied in the following paragraphs is extended and explained in detail.

¹² It should be remembered that by works of art throughout this essay is meant works of fine art. In considering works of art other than works of fine art, works such as chairs, factories, pencils, dinners, etc., etc., structures of organizations of lesser degrees of integrality would have to be introduced. In that case, and for further study, see Feibleman and Friend, op. cit., p. 25.

¹³ The former reposes in the Courtauld Institute of Art, and the latter in the Tate Gallery, both in London.