How to Install Minecraft in Ubuntu like a Program
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Minecraft Installer fetches all of the core files from Mojang's servers so you don't need to worry about getting anything dodgy; everything is above-board, legal, and wrapped in convenience.
A PPA provides packages for Ubuntu 12.04 through 13.04:
sudo add-apt-repository ppa:minecraft-installer-peeps/minecraft-installer
sudo apt-get update && sudo apt-get install minecraft-installer
Once installed simply run the app, enter (or register) your Minecraft details and you're all set.
Source: http://www.omgubuntu.co.uk/2013/04/minecraft-installer-for-ubuntu
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