43. +Transliteration: heteron epistêmês doxa; eph' heterô ara heteron ti dynamenê hekatera autôn pephyke; ouk enchôrei gnôston kai doxaston tauton einai. E-text editor's translation: "opinion differs from scientific knowledge…To each of them belongs a different power, so to each falls a different sphere…it is not possible for knowledge and opinion to be one and the same." Plato, Republic, 478a-b.

44. +Transliteration: aei kata tauta hôsautôs echousan. Pater's translation: "ever in the same condition in regard to the same things." Plato, Republic 478.

45. +Transliteration: ho philotheamôn. Liddell and Scott definition "fond of seeing, fond of spectacles or shows." This word is from the same passage just cited, note for page 44.

46. +Transliteration: to on. Translation: "that which is."

48. Transliteration: monochronos hêdonê. Pater's definition "the pleasure of the ideal now." The adjective monochronos means, literally, "single or unitary time." See also Marius the Epicurean, Vol. 1, Cyrenaicism, and Vol. 2, Second Thoughts, where Pater quotes the same key Cyrenaic language.

49. +Transliteration: dia pantôn phoita. E-text editor's translation: "which courses through all things." Cleanthes (300-220 B.C.), Hymn to Zeus, lines 12-13. Fragmenta Philosophorum Graecorum, Vol. 1, 151. Ed. F.W.A. Mullach. Darmstadt: Scientia Verlag Aalen, 1967 (reprint of the Paris, 1860 edition). Pater has translated Cleanthes' phrase koinos logos as "undivided Intelligence." The relevant verse reads, "su kateuthynês koinon logon, hos dia pantôn phoita," which may be translated, "You guide the Universal Thought that courses through all things." But the word logos is multivalent and subject to philosophical nuance, so any translation of it is bound to be limited.

49. +Transliteration: Ek sou gar genos esmen. E-text editor's translation: "For we are born of you." Cleanthes (300-220 B.C.), Hymn to Zeus, line 4. Fragmenta Philosophorum Graecorum, Vol. 1, 151. Pater alludes also to Saint Paul's words in Acts 17:28: "For in him we live, and move, and have our being."

50. +Here Pater provides a somewhat abbreviated translation of the Hymn to Zeus. As above, the Greek is from Fragmenta Philosophorum Graecorum, Vol. 1, 151.

CHAPTER 3: PLATO AND THE DOCTRINE OF NUMBER

[51] His devotion to the austere and abstract philosophy of Parmenides, its passivity or indifference, could not repress the opulent genius of Plato, or transform him into a cynic. Another ancient philosopher, Pythagoras, set the frozen waves in motion again, brought back to Plato's recognition all that multiplicity in men's experience to which Heraclitus had borne such emphatic witness; but as rhythm or melody now—in movement truly, but moving as disciplined sound and with the reasonable soul of music in it.