Problem: Sentence1: He gave me a lift to the bus station.
Sentence2: He gave me a lift home.
Q: Does the term lift mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: There is a law against kidnapping.
Sentence2: By law, one is not allowed to own a wallaby in New York City.
Q: Does the term law mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: The sky is red this morning -- does that mean we're in for a storm?
Sentence2: My ex-husband means nothing to me.
Q: Does the term mean mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: The Welsh government claims that Cardiff is Europe's youngest capital.
Sentence2: Washington D.C. is the capital of the United States of America.
Q: Does the term capital mean the same thing in both these sentences?

Answer:
the same meaning