"I think, sir," answered Mr. Sprawl, "I could mathematically demonstrate to you that one is equal to two. What would you think of that, sir?"

"I think you couldn't do it, sir."

Thereupon Mr. Sprawl took a sheet of paper and wrote down the following equation—the celebrated algebraic paradox:

a = x
a x = x2
a x - a2 = x2 - a2
(x - a) × a = (x - a) × (x + a)
a = x + a
a = 2 a
1 = 2

Mr. Coffin examined it carefully standing up, and examined it carefully sitting down, and then handed it back, saying that Mr. Sprawl had certainly proved one to be equal to two. The paper was passed round, and those learned enough scrutinized it carefully. The demonstration all allowed to be positive, yet no one could be made to admit the fact.

Here a certain married lady avowed her great delight in knowing that one had at last been proved equal to two. She had been for years, she said, trying to convince her husband of this fact, but he always obstinately refused to listen to the voice of reason. She now trusted he would not have the effrontery to fly in the face of an algebraic paradox.

Seeing the talk had taken an arithmetical turn, and was moreover getting fearfully abstruse, our friend Nix thought he would gently lead the tide of conversation into some shallower channel, wherein the young ladies might dabble their pretty feet without danger of being swept away in the scientific torrent. To this end he submitted the well known problem: "What is the difference between six dozen dozen and half a dozen dozen?" Strange to say, no one present had ever before heard of it, but the best part of the joke consisted in Mr. Sprawl being completely taken by it.

"Why, they are both the same," he answered promptly.

All the rest seemed to think so too, and some could not get into their heads, although poor Nix spent half an hour trying to convince them, that half a dozen dozen was the same thing as six dozen, or 72; whilst six dozen dozen must of course be seventy-two dozen, or 864.

While Nix still spoke, a handmaiden appeared, bearing tinkling cups and vessels of aromatic tea (not the weak green kind, bear in mind), and plates of sweet cookies and toast, and then bread and butter, and steaming waffles, and divers and sundry other delicacies known to true housewives and good Christian women, who love their fellow-creatures and respect their organs of digestion.