By the grace of God, gentlemen hearers, I have performed my promise. I have redeemed my pledge. I have explained, according to my ability, the definitions, postulates, axioms, and the first eight propositions of the Elements of Euclid. Here, sinking under the weight of years, I lay down my art and my instruments.[260]
From the standpoint of modern mathematics, Sir Henry Savile and the Bushman are both woefully backward; and in both cases the backwardness is not a matter of mental incapacity, but of the state of the science.
In respect, then, to brain structure and the more important mental faculties we find that no race is radically unlike the others. Still, it might happen that the mental activities and products of two groups were so different as to place them in different classes. But precisely the contrary is true. There is in force a principle called the law of parallelism in development, according to which any group takes much the same steps in development as any other. The group may be belated, indeed, and not reach certain stages, but the ground patterns of life are the same in the lower races and in the higher. Mechanical inventions, textile industries, rude painting, poetry, sculpture, and song, marriage and family life, organization under leaders, belief in spirits, a mythology, and some form of church and state exist universally. At one time students of mankind, when they found a myth in Hawaii corresponding to the Greek story of Orpheus and Eurydice, or an Aztec poem of tender longing in absence, or a story of the deluge, were wont to conjecture how these could have been carried over from Greek or Elizabethan or Hebraic sources, or whether they did not afford evidence of a time when all branches of the human race dwelt together with a common fund of sentiment and tradition. But this standpoint has been abandoned, and it is recognized that the human mind and the outside world are essentially alike the world over; that the mind everywhere acts on the same principles; and that, ignoring the local, incidental, and eccentric, we find similar laws of growth among all peoples.
The number of things which can stimulate the human mind is somewhat definite and limited. Among them, for example, is death. This happens everywhere, and the death of a dear one may cause the living to imagine ways of being reunited. The story of Orpheus and Eurydice may thus arise spontaneously and perpetually, wherever death and affection exist. Or, there may be a separation from home and friends, and the mind runs back in distress and longing over the happy past, and the state of consciousness aroused is as definite a fact among savages as among the civilized. A beautiful passage in Homer represents Helen looking out on the Greeks from the wall of Troy and saying:
And now behold I all the other glancing-eyed Achaians, whom well I could discern and tell their names; but two captains of the host can I not see, even Kastor tamer of horses and Polydukes the skilful boxer, mine own brethren whom the same mother bare. Either they came not in the company from lovely Lakedaimon; or they came hither indeed in their seafaring ships, but now will not enter into the battle of the warriors, for fear of the many scornings and revilings that are mine.[261]
When this passage is thus stripped of its technical excellence by a prose translation, we may compare it with the following New Zealand lament composed by a young woman who was captured on the island of Tuhua and carried to a mountain from which she could see her home:
My regret is not to be expressed. Tears, like a spring, gush from my eyes. I wonder whatever is Tu Kainku [her lover] doing, he who deserted me. Now I climb upon the ridge of Mount Parahaki, whence is clear the view of the island of Tuhua. I see with regret the lofty Tanmo where dwells [the chief] Tangiteruru. If I were there, the shark's tooth would hang from my ear. How fine, how beautiful should I look!... But enough of this; I must return to my rags and to my nothing at all.[262]
The situation of the two women in this case is not identical, and it would be possible to claim that the Greek and Maori passages differ in tone and coloring; but it remains true that a captive woman of any race will feel much the same as a captive woman of any other race when her thoughts turn toward home, and that the poetry growing out of such a situation will be everywhere of the same general pattern.
Similarly, to take an illustration from morals, we find that widely different in complexion and detail as are the moral codes of lower and higher groups, say the Hebrews and the African Kafirs, yet the general patterns of morality are strikingly coincident. It is reported of the Kafirs that "they possess laws which meet every crime which may be committed." Theft is punished by restitution and fine; injuring cattle, by death or fine; false witness, by a heavy fine; adultery, by fine or death; rape, by fine or death; poisoning or witchcraft, by death and confiscation of property; murder, by death or fine; treason or desertion from the tribe, by death or confiscation.[263] The Kafirs and Hebrews are not at the same level of culture, and we miss the more abstract and monotheistic admonitions of the higher religion—"thou shalt not covet; thou shalt worship no other gods before me"—but the intelligence shown by the social mind in adjusting the individual to society may fairly be called the same grade of intelligence in the two cases.