This "Messages" application on my Macbook Pro, OS X Yosemite 10.10.4
I would like to uninstall the "Messages" application entirely. How can I do this?
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While Apple stock OS X apps cannot be deleted, you can remove the your Apple ID's association with the Messages app by opening Messages and clicking Messages > Preferences > Accounts.
From there you can remove your Apple ID (and therefore the phone numbers associated with it) and your problem should stop.