You can try to put another 2GB RAM or search about this.
Probably your Mac Mini support 4GB of RAM.[0]

Some Macbooks and Mac Minis "up to 8GB" support 16GB. [1]

[0] http://eshop.macsales.com/shop/mac-mini/
[1] http://www.gizmag.com/macbook-pro-2011-models-support-16gb-of-ram/18135/

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