In criticising Homeric criticism as it is to-day, we cannot do better than begin by examining the theories of Mr. Leaf which are offered by him merely as "a working hypothesis." His most erudite work is based on a wide knowledge of German Homeric speculation, of the exact science of Grammar, of archaeological discoveries, and of manuscripts. [Footnote: The Iliad. Macmillan & Co. 1900, 1902.] His volumes are, I doubt not, as they certainly deserve to be, on the shelves of every Homeric student, old or young, and doubtless their contents reach the higher forms in schools, though there is reason to suppose that, about the unity of Homer, schoolboys remain conservative. In this book of more than 1200 pages Mr. Leaf's space is mainly devoted to textual criticism, philology, and pure scholarship, but his Introductions, Notes, and Appendices also set forth his mature ideas about the Homeric problem in general. He has altered some of his opinions since the publication of his _Companion to the Iliad_(1892), but the main lines of his old system are, except on one crucial point, unchanged. His theory we shall try to state and criticise; in general outline it is the current theory of separatist critics, and it may fairly be treated as a good example of such theories. The system is to the following effect: Greek tradition, in the classical period, regarded the _Iliad_ and _Odyssey_ as the work of one man, Homer, a native of one or other of the Ionian colonies of Asia Minor. But the poems show few obvious signs of origin in Asia. They deal with dwellers, before the Dorian invasion (which the poet never alludes to), on the continent of Europe and in Crete. [Footnote: If the poet sang after the tempest of war that came down with the Dorians from the north, he would probably have sought a topic in the Achaean exploits and sorrows of that period. The Dorians, not the Trojans, would have been the foes. The epics of France of the eleventh and twelfth centuries dwell, not on the real victories of the remote Charlemagne so much as on the disasters of Aliscans and Roncesvaux--defeats at Saracen hands, Saracens being the enemies of the twelfth-century poets. No Saracens, in fact, fought at Roncesvaux.] The lays are concerned with "good old times"; presumably between 1500 and 1100 B.C. Their pictures of the details of life harmonise more with what we know of the society of that period from the evidence of buildings and recent excavations, than with what we know of the life and the much more rude and barbaric art of the so-called "Dipylon" period of "geometrical" ornament considerably later. In the Dipylon age though the use of iron, even for swords (made on the lines of the old bronze sword), was familiar, art was on a most barbaric level, not much above the Bed Indian type, as far, at least, as painted vases bear witness. The human figure is designed as in Tommy Traddles's skeletons; there is, however, some crude but promising idea of composition.