Final answer:
Socrates humorously suggested free room and board as his punishment, showing his dedication to philosophical inquiry over material reward, but he was sentenced to death by the jury.
Step-by-step explanation:
The statement that Socrates proposed for his own punishment that he be given a pension by the city to allow him to continue to do what he had been doing is True. During his trial, Socrates humorously suggested that instead of being punished, he should be rewarded with free room and board for his service to Athens. However, this proposal was not taken seriously and angered many jurors. Eventually, his friends collected a fine as an alternative, but the jury condemned Socrates to death. Socrates held a strong belief in the importance of living a philosophically examined life and following the laws, which lead to his acceptance of the jury's death sentence rather than fleeing into exile.