Beauty of material objects absorbed in their Life 423 SECT. III. _Homer’s perception and use of Number._ The traditional character of aptitudes 425 Conceptions of Number not always definite in childhood 427 Nor even in manhood 428 No calculations in Homer 430 Greek estimate of the discovery of Number 431 Enumerative addition in Od. iv. 412, 451 432 Highest numerals of the poems 432 The three hundred and sixty fat hogs 434 The Homeric ἑκατομβὴ 435 The numerals expressive of value 436 His silence as to the numbers of the armies 439 Especially in the Greek Catalogue 440 Case of the Trojan bivouac 442 Case of the herds and flocks in Od. xiv. 443 Hesiod’s age of the Nymphs 444 Case of the cities of Crete 445 No scheme of chronology in Homer 446 Case of the three Decades of years 448 Meaning of the γενεὴ of Homer 449 Homer reckons time by generations 451 Some difficulties of the Decades taken literally 452 Uses of the proposed interpretation 455