Avidity means wanting to get something very much:
- Uncle Jack’s avidity was insatiable. He laid his hands on all the neighbouring properties.
- Nothing can save us from the avidity of the ruling party.
However, it is also used to mean enthusiasm:
- Sheila studied with avidity and passed all her exams.
- I love Sherlock Holmes. I read all his stories with avidity.
Greed, on the other hand, is not used positively. It describes a strong desire for more wealth and possessions than you actually need:
- I’m afraid he doesn’t love you. His actions are just motivated by greed.
- Their greed for power turned them into monsters.
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