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376 that the virtue lies in the worshipper depriving himself of something prized. These ideas may be broadly distinguished as the gift-theory, the homage-theory, and the abnegation-theory. Along all three the usual ritualistic change may be traced, from practical reality to formal ceremony. The originally valuable offering is compromised for a smaller tribute or a cheaper substitute, dwindling at last to a mere trifling token or symbol.

The gift-theory, as standing on its own independent basis, properly takes the first place. That most childlike kind of offering, the giving of a gift with as yet no definite thought how the receiver can take and use it, may be the most primitive as it is the most rudimentary sacrifice. Moreover, in tracing the history of the ceremony from level to level of culture, the same simple unshaped intention may still largely prevail, and much of the reason why it is often found difficult to ascertain what savages and barbarians suppose to become of the food and valuables they offer to the gods, may be simply due to ancient sacrificers knowing as little about it as modern ethnologists do, and caring less. Yet rude races begin and civilized races continue to furnish with the details of their sacrificial ceremonies the key also to their meaning, the explanation of the manner in which the offering is supposed to pass into the possession of the deity.

Beginning with cases in which this transmission is performed bodily, it appears that when the deity is the personal Water, Earth, Fire, Air, or a fetish-spirit animating or inhabiting such element, he can receive and sometimes actually consume the offerings given over to this material medium. How such notions may take shape is not ill shown in the quaintly rational thought noticed in old Peru, that the Sun drinks the libations poured out before him; and in modern Madagascar, that the Angatra drinks the arrack left for him in the leaf-cup. Do not they see the liquids diminish from day to day? The sacrifice to Water