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Their favorite recreation was play-acting. Indoors or out, hour after hour, they played at pirates, soldiers, clerics, Indians, royalty, giants, martyrs, lords and ladies, or any other creatures that took their fancy, inventing action and dialogue as they played. Sometimes they would maintain the same role for days, sometimes only for minutes. Ebenezer, especially, became ingenious at disguising his assumed identity in the presence of adults, while still revealing it clearly enough to Anna, to her great delight, by some apparently innocent gesture or remark. They might spend an autumn morning playing at Adam and Eve out in the orchard, for example, and when at dinner their father forbade them to return there, on account of the mud, Ebenezer would reply with a knowing nod, "Mud's not the worst of't: I saw a snake as well." And little Anna, when she had got her breath back, would declare, "It didn't frighten me, but Eben's forehead hath been sweating ever since," and pass her brother the bread. At night, both before and after their separation into two rooms, they would either continue to make-believe (necessarily confining themselves to dialogue, which they found it easy to carry on in the dark) or else play word-games; of these they had a great variety, ranging from the simple "How many words do you know beginning with S?" or "How many words rhyme with faster?" to the elaborate codes, reverse pronunciations, and homemade languages of their later childhood.

In 1676, when they were ten, Andrew employed for them a new tutor named Henry Burlingame III — a wiry, brown-eyed, swarthy youth in his early twenties, energetic, intense, and not unhandsome. This Burlingame had for reasons unexplained not completed his baccalaureate; yet for the range and depth of his abilities he was little short of an Aristotle. Andrew had found him in London unemployed and undernourished, and, always a good businessman, was thus for a miserly fee able to provide his children with a tutor who could sing the tenor in a Gesualdo madrigal as easily as he dissected a field-mouse or conjugated elµl. The twins took an immediate liking to him, and he in turn, after only a few weeks, grew so attached to them that he was overjoyed when Andrew permitted him, at no increase in salary, to convert the little summer-pavilion on the grounds of the St. Giles estate into a combination laboratory and living-quarters, and devote his entire attention to his charges.

He found both to be rapid learners, especially apt in natural philosophy, literature, composition, and music; less so in languages, mathematics, and history. He even taught them how to dance, though Ebenezer by age twelve was already too ungainly to do it well. First he would teach Ebenezer to play the melody on the harpsichord; then he would drill Anna in the steps, to Ebenezer's accompaniment, until she mastered them; next he would take Ebenezer's place at the instrument so that Anna could teach her brother the steps; and finally, when the dance was learned, Ebenezer would help Anna master the tune on the harpsichord. Aside from its obvious efficiency, this system was in keeping with the second of Master Burlingame's three principles of pedagogy; to wit, that one learns a thing best by teaching it. The first was that of the three usual motives for learning things — necessity, ambition, and curiosity — simple curiosity was the worthiest of development, it being the "purest" (in that the value of what it drives us to learn is terminal rather than instrumental), the most conducive to exhaustive and continuing rather than cursory or limited study, and the likeliest to render pleasant the labor of learning. The third principle, closely related to the others, was that this sport of teaching and learning should never become associated with certain hours or particular places, lest student and teacher alike (and in Burlingame's system they were much alike) fall into the vulgar habit of turning off their alertness, except at those times and in those places, and thus make by implication a pernicious distinction between learning and other sorts of natural behavior.

The twins' education, then, went on from morning till night. Burlingame joined readily in their play-acting, and had he dared ask leave would have slept with them as well, to guide their word-games. If his system lacked the discipline of Locke's, who would have all students soak their feet in cold water, it was a good deal more fun: Ebenezer and Anna loved their teacher, and the three were great companions. To teach them history he directed their play-acting to historical events; to sustain their interest in geography he produced volumes of exotic pictures and tales of adventure; to sharpen their logical equipment he ran them through Zeno's paradoxes as one would ask riddles, and rehearsed them in Descartes' skepticism as gaily as though the search for truth and value in the universe were a game of Who's Got the Button. He taught them to wonder at a leaf of thyme, a line of Palestrina, the configuration of Cassiopeia, the scales of a pilchard, the sound of indefatigable, the elegance of a sorites.

The result of this education was that the twins grew quite enamored of the world — especially Ebenezer, for Anna, from about her thirteenth birthday, began to grow more demure and less demonstrative. But Ebenezer could be moved to shivers by the swoop of a barn-swallow, to cries of laughter at the lace of a cobweb or the roar of an organ's pedal-notes, and to sudden tears by the wit of Volpone, the tension of a violin-box, or the truth of the Pythagorean Theorem. By age eighteen he had reached his full height and ungainliness; he was a nervous, clumsy youth who, though by this time he far excelled his sister in imaginativeness, was much her inferior in physical beauty, for though as twins they shared nearly identical features, Nature saw fit, by subtle alterations, to turn Anna into a lovely young woman and Ebenezer into a goggling scarecrow, just as a clever author may, by delicate adjustments, parody a beautiful style.

It is a pity that Burlingame could not accompany Ebenezer when, at eighteen, the boy made ready to matriculate at Cambridge, for though a good teacher will teach well regardless of the theory he suffers from, and though Burlingame's might seem to have been an unusually attractive one, yet there is no perfect educational method, and it must be admitted that at least partly because of his tutoring Ebenezer took quite the same sort of pleasure in history as in Greek mythology and epic poetry, and made little or no distinction between, say, the geography of the atlases and that of fairy-stories. In short, because learning had been for him such a pleasant game, he could not regard the facts of zoology or the Norman Conquest, for example, with genuine seriousness, nor could he discipline himself to long labor at tedious tasks. Even his great imagination and enthusiasm for the world were not unalloyed virtues when combined with his gay irresolution, for though they led him to a great sense of the arbitrariness of the particular real world, they did not endow him with a corresponding realization of its finality. He very well knew, for instance, that "France is shaped like a teapot," but he could scarcely accept the fact that there was actually in existence at that instant such a place as France, where people were speaking French and eating snails whether he thought about them or not, and that despite the virtual infinitude of imaginable shapes, this France would have to go on resembling a teapot forever. And again, though the whole business of Greece and Rome was unquestionably delightful, he found the notion preposterous, almost unthinkable, that this was the only way it happened: that made him nervous and irritable, when he thought of it at all.