The word 'land' carries strong emotional overtones.

[Tofu]

Hello Alan, Mister Micawber, Beeesneees, Mordant, Esl_Expert and other native English speakers,

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http://www.environment.gov.au/soe/2001/publications/report/land.html
The word 'land' carries strong emotional overtones. Land is territory; it is what peoples and nations have always fought for. Land means food, security, wealth and power. Societies have a powerful need to feel and express a sense of place in the art, song, poems, pictures and fables of their culture.
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- The word 'land' carries strong emotional overtones.
- The word 'land' has strong emotional overtones.
- The word 'land' carries strong emotional connotations.
- The word 'land' has strong emotional connotations.

Do these all mean the same thing? Any errors?

[Mordant]

They are all fine, but I like "overtones" better. It makes it clear that the connotation is more pronounced.