Zen koan: The death of dying means what?

If death itself were to die, what would that mean to us? Would it mean that we would live on forever?

The old Zen master, Zerpethe Ripockske, was coming to the end of his long life.

He was thinking about death, and he thought the odd thought to himself:

"What is the death of death?"

If I could solve this koan, he thought to himself, I would also have the answer to: 

"What is the life in life?"

Then he somewhat pensively thought to himself:

"Well, in truth, all of our life, we are dying, not living. We move towards death with every breath. Life is a process of dying slowly, not living longly."

Then, he countered this idea with this new thought instead:

"Our body/mind might think and feel this, but the real truth is that there is no dying, nor death, to our real self, our permanently existing soul."

"Death only exists as a thought of our minds. Without the thought of death, death cannot live in life. Thought gives life to the idea of death."

Finally, he thought this koan too:

"The life of the dead is the dead of the life."

"Ha, ha,"

He thought to himself then:

"Now, that makes no sense to me at all, or does it?"

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