They looked at their watches. Professor Johnson placed the cube gently on the machine's platform. It vanished.
Five minutes later, to the second, it reappeared.
Professor Johnson picked it up. "Now five minutes into the past." He set the other dial. Holding the cube in his hand he looked at his watch. "It is six minutes before three o'clock. I shall now activate the mechanism—by placing the cube on the platform—at exactly three o'clock. Therefore, the cube should, at five minutes before three, vanish from my hand and appear on the platform, five minutes before I place it there."
"How can you place it there, then?" asked one of his colleagues.
"It will, as my hand approaches, vanish from the platform and appear in my hand to be placed there. Three o'clock. Notice, please."
The cube vanished from his hand.
It appeared on the platform of the time machine.
"See? Five minutes before I shall place it there, it is there!"
His other colleague frowned at the cube. "But," he said, "what if, now that it has already appeared five minutes before you place it there, you should change your mind about doing so and not place it there at three o'clock? Wouldn't there be a paradox of some sort involved?"
"An interesting idea," Professor Johnson said. "I had not thought of it, and it will be interesting to try. Very well, I shall not ..."