As we emerged into Madison Avenue, he signalled to the commissionnaire for a taxicab, and without a word, urged us into it.

“This is all nonsense,” Markham declared ill-naturedly, as we started on our journey up town. “How do you expect to find any clues now? By this time everything has been obliterated.”

“Alas, my dear Markham,” lamented Vance, in a tone of mock solicitude, “how woefully deficient you are in philosophic theory! If anything, no matter how inf’nitesimal, could really be obliterated, the universe, y’ know, would cease to exist,—the cosmic problem would be solved, and the Creator would write Q.E.D. across an empty firmament. Our only chance of going on with this illusion we call Life, d’ ye see, lies in the fact that consciousness is like an inf’nite decimal point. Did you, as a child, ever try to complete the decimal, one-third, by filling a whole sheet of paper with the numeral three? You always had the fraction, one-third, left, don’t y’ know. If you could have eliminated the smallest one-third, after having set down ten thousand threes, the problem would have ended. So with life, my dear fellow. It’s only because we can’t erase or obliterate anything that we go on existing.”

He made a movement with his fingers, putting a sort of tangible period to his remarks, and looked dreamily out of the window up at the fiery film of sky.

Markham had settled back into his corner, and was chewing morosely at his cigar. I could see he was fairly simmering with impotent anger at having let himself be goaded into issuing his challenge. But there was no retreating now. As he told me afterward, he was fully convinced he had been dragged forth out of a comfortable chair, on a patent and ridiculous fool’s errand.

CHAPTER IX.
The Height of the Murderer

(Saturday, June 15; 5 p.m.)

When we arrived at Benson’s house a patrolman leaning somnolently against the iron paling of the areaway came suddenly to attention and saluted. He eyed Vance and me hopefully, regarding us no doubt as suspects being taken to the scene of the crime for questioning by the District Attorney. We were admitted by one of the men from the Homicide Bureau who had been in the house on the morning of the investigation.

Markham greeted him with a nod.

“Everything going all right?”