For the rest of that day there was no talking, no hilarity; and meals were dismissed with impatience. John had suddenly discovered the intricate delights of number. Hour after hour he pertormed all manner of operations on the new toy. Then suddenly he flung it away and lay back staring at the ceiling.

His mother thought he was tired. She spoke to him. He took no notice. She gently shook his arm. No response. "John!" she cried in some alarm, and shook more violently. "Shut up, Pax," he said, "I'm busy with numbers."

Then, after a pause, "Pax, what do you call the numbers after twelve?" She counted up to twenty, then up to thirty. "You're as stupid as that toy, Pax." When she asked why, he found he had not words to explain himself; but after he had indicated various operations on the abacus, and she had told him the names of them, he said slowly and triumphantly, "You're stupid, Pax, dear, because you (and the toy there) 'count' in tens and not in twelves. And that's stupid because twelves have 'fourths' and 'threeths', I mean 'thirds', and tens have not." When she explained that all men counted in tens because when counting began, they used their five fingers, he looked fixedly at her, then laughed his crackling, crowing laugh. Presently he said, "Then all men are stupid."

This, I think, was John's first realization of the stupidity of Homo sapiens, but not the last.

Thomas was jubilant over John's mathematical shrewdness, and wanted to report his case to the British Psychological Society. But Pax showed an unexpected determination to 'keep it all dark for the present'. "He shall not be experimented on," she insisted. "They'd probably hurt him. And anyhow they'd make a silly fuss." Thomas and I laughed at her fears, but she won the battle.

John was now nearly five, but still in appearance a mere baby. He could not walk. He could not, or would not, crawl. His legs were still those of an infant. Moreover, his walking was probably seriously delayed by mathematics, for during the next few months he could not be persuaded to give his attention to anything but numbers and the properties of space. He would lie in his pram in the garden by the hour doing "mental arithmetic" and "mental geometry," never moving a muscle, never making a sound. This was most unhealthy for a growing child, and he began to ail. Yet nothing would induce him to live a more normal and active life.

Visitors often refused to believe that he was mentally active out there for all those hours. He looked pale and "absent." They privately thought he was in a state of coma, and developing as an imbecile. But occasionally he would volunteer a few words which would confound them.

John's attack upon geometry began with an interest in his brother's box of bricks and in a diaper wallpaper. Then came a phase of cutting up cheese and soap into slabs, cubes, cones, and even into spheres and ovoids. At first John was extremely clumsy with a knife, cutting his fingers and greatly distressing his mother. But in a few days he had become amazingly dextrous. As usual, though he was backward in taking up a new activity, once he had set his mind to it, his progress was fantastically rapid.