Summing up those three philosophies antecedent to Plato, we might say, that if Heraclitus taught the doctrine of progress, and the Eleatics that of rest, so, in such quaint phrase as Vaughan's, Pythagoreanism is the philosophy of re-action. NOTES 52. +Transliteration: archê. Liddell and Scott definition: "I. beginning, first cause, origin. II. 1. supreme power, sovereignty, dominion; 2. office." 53. +Transliteration: homoion homoiô. Translation: "like by like." 56. +Transliteration: Alêtheian de ametria hêgei syngenê einai, ê emmetria. E-text editor's translation: "And do you suppose that truth is close kin to measure and proportion, or to disproportion?" Plato, The Republic, Book VI, 486d. 56. +Transliteration: Emmetria. E-text editor's translation: "To measure and proportion." Plato, The Republic, Book VI, 486d. 59. *Or to Mr. Burnet's Early Greek Philosophy; which I have read since these pages went to press, with much admiration for its learning and lucidity, and its unconventionality of view. 59. +Transliteration: to apeiron . . . to peras. Liddell and Scott definition: "I. without trial or experience of a thing . . . II. boundless, endless, countless / an end, extremity." As Pater indicates, in Plato the terms mean something like "infinite" and "finite," or "bounded" and "unbounded." 60. +Transliteration: systoichiai tôn enantiôn. "Co-ordinates consisting of opposites." 60. +Transliteration: peras. See above, second note for page 59. 60. +Transliteration: to apeiron. See above, second note for page 59. 61. +Transliteration: askêsis. Liddell and Scott definition: "excercise, training." 61. +Transliteration: physei. Liddell and Scott definition of physis: "the nature, inborn quality, property or constitution of a person or thing." Thus, the dative form cited by Pater means, "with regard to nature." 61. +Transliteration: theia moira. Translation: "one's lot by divine appointment." 62. +Transliteration: anamnêsis. Liddell and Scott definition: "a calling to mind, recollection." 64. +Transliteration: hôs dei. E-text editor's translation: "as is necessary." 64. +Transliteration: Nyn autô hôsper onar arti anakekinêtai hai doxai autai. Pater's translation: "Just now, as in a dream, these opinions have been stirred up within him." Plato, Meno, 85c. 65. +Transliteration: hois episphragizometha touto. E-text editor's translation: "these things upon which we set this seal." Plato, Phaedo, 75d. 65. +Transliteration: Oukoun oudenos didaxantos, all' erôtêsantos, epistêsetai, analabôn, autos ex hautou, epistêmên. E-text editor's translation: "No-one having taught him a thing, but rather through questioning alone, he will understand for certain, retrieving the knowledge out of himself?" Plato, Meno, 85d. 65. +Transliteration: epistêmê. Liddell and Scott definition "1. knowledge, understanding, skill, experience, wisdom; 2. scientific knowledge."