***
Having a magic piece of chalk I began to write on the blackboard, faster and faster, until it was covered with an infinity of figures, from the Mona Lisa to all of geometry to music and elephants. Being totally full the blackboard was now pure white.
A student from the island of Sunim, where the blackboards are white and the chalk is black, came in and remarked that my chalkboard was empty.
A student from the island of Sunim, where the blackboards are white and the chalk is black, came in and remarked that my chalkboard was empty.
"No," I replied, it is infinitely full - and I went off to another class.
He took out his black magic chalk and soon covered the chalk-white board with an infinity of black figures.
I returned and said, "Your chalkboard is black, and it is completely empty."
"No," he replied. "It is infinitely full."
"Then everything is nothing and infinity is zero," I exclaimed.
"No, he replied. "Nothing is everything and zero is infinity. There is a difference."
"No," I said. "There is not."
We argued far into the night.
He took out his black magic chalk and soon covered the chalk-white board with an infinity of black figures.
I returned and said, "Your chalkboard is black, and it is completely empty."
"No," he replied. "It is infinitely full."
"Then everything is nothing and infinity is zero," I exclaimed.
"No, he replied. "Nothing is everything and zero is infinity. There is a difference."
"No," I said. "There is not."
We argued far into the night.
***