The cat woke up. He was in a box.
He normally slept in boxes. So he went back to sleep.
The cat dreamt he was chasing a mouse. He was awake in the dream.
The cat was both asleep and awake.
The cat woke up. He knew Schrodinger had put him there so Schrodinger was alive.
Schrodinger was dead. He was both dead and alive.
The cat went back to sleep. He dreamt he was alive, awake and chasing a mouse.
The cat died in his sleep. He did not know he had died.
He was both dead and alive.
Until he woke up.