How do the languages of the caribbean islands reflect their colonial history?

Caribbean languages are usually a mix of native American, African and European languages.

It's because slaves from Africa brought their language with them, learnt some American from the natives and also a lot from the colonizators. Later it evolved into a few similar Caribbean languages.

For example Jamaican Patois is a mix of American (mostly), French, Spanish, Ghanuan and Bantu.

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