The fair 'Incognita' turned her head quickly at the sudden question. “No, I don't!” she said with a smile. “Do you?”

“I—I didn't mean to ask the question!” I stammered, a little taken aback at having begun a conversation in so unconventional a fashion.

The lady's smile became a laugh—not a mocking laugh, but the laugh of a happy child who is perfectly at her ease. “Didn't you?” she said. “Then it was a case of what you Doctors call 'unconscious cerebration'?”

“I am no Doctor,” I replied. “Do I look so like one? Or what makes you think it?”

She pointed to the book I had been reading, which was so lying that its title, “Diseases of the Heart,” was plainly visible.

“One needn't be a Doctor,” I said, “to take an interest in medical books. There's another class of readers, who are yet more deeply interested—”

“You mean the Patients?” she interrupted, while a look of tender pity gave new sweetness to her face. “But,” with an evident wish to avoid a possibly painful topic, “one needn't be either, to take an interest in books of Science. Which contain the greatest amount of Science, do you think, the books, or the minds?”

“Rather a profound question for a lady!” I said to myself, holding, with the conceit so natural to Man, that Woman's intellect is essentially shallow. And I considered a minute before replying. “If you mean living minds, I don't think it's possible to decide. There is so much written Science that no living person has ever read: and there is so much thought-out Science that hasn't yet been written. But, if you mean the whole human race, then I think the minds have it: everything, recorded in books, must have once been in some mind, you know.”

“Isn't that rather like one of the Rules in Algebra?” my Lady enquired. (“Algebra too!” I thought with increasing wonder.) “I mean, if we consider thoughts as factors, may we not say that the Least Common Multiple of all the minds contains that of all the books; but not the other way?”

“Certainly we may!” I replied, delighted with the illustration. “And what a grand thing it would be,” I went on dreamily, thinking aloud rather than talking, “if we could only apply that Rule to books! You know, in finding the Least Common Multiple, we strike out a quantity wherever it occurs, except in the term where it is raised to its highest power. So we should have to erase every recorded thought, except in the sentence where it is expressed with the greatest intensity.”