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In Moodle, forum subscription indicates whether you get an email when posts are made to a forum.  

From their User Preferences, users can globally elect to subscribe to forums when they post to a forum. 

In Moodle, from their Profile drop down in upper right corner, select Preferences, then User.

Select Forum preferences.

Choose desired option from Forum auto-subscribe, Save.  If you choose 'No, don't automatically subscribe me to forum posts', you will not receive email notifications when posts are made.