"It's a parable, Treb, about concretised forms of a continuum in its discrete aspects."
"I see the theoretical question but what has Achilles' Ship to do with it?"
He furrowed his protoplast brow that looked as youthful as it had a century ago. "This ship consisted of several hundred planks, most of them forming the hull, some in the form of benches and oars and a mainmast. It served its primitive purpose well but eventually sprang a leak. Some of the hull planks had to be replaced after which it was as good as new. Another year of hard use brought further hull troubles and some more planks were removed for new ones. Then the mast collapsed and a new one was put in. After that the ship was in such good shape that it could outrace most of those just off the ways."
I had an uneasy feeling about where this parable was leading us but my mind shied away from the essential point and Erics went relentlessly on. "As the years passed more repairs were made—first a new set of oars, then some more planks, still newer oars, still more planks. Eventually Achilles, an unthinking man of action who still tried to be aware of what happened to the instruments of action he needed most, realized that not one splinter of the original ship remained. Was this, then, a new ship? At first he was inclined to say yes. But this only evoked the further question: when had it become the new ship? Was it when the last plank was replaced or when half had been? His confidently stated answer collapsed. Yet how could he say it was the old ship when everything about it was a substitution? The question was too much for him. When he came to Athens he turned the problem over to the wise men of that city, refusing ever to think about it again."
My mind was now in turmoil. "What," I demanded, "what did they decide?"
Erics frowned. "Nothing. They could not answer the question. Every available answer was equally right and proved every other right answer wrong. As you know, philosophy does not progress in its essentials. It merely continues to clarify what the problems are."
"I prefer to die next time!" I shouted. "I want to be a live human being or a dead one, not a machine."
"Maybe you won't be a machine. Nothing exactly like this has happened before to a living organic being."
I knew I had to be on my guard. What peculiar scheme was afoot? "You're trying to say something's still wrong with me. It isn't true. I feel as well as I ever have."