So the solution was to manually install Eclipse so that apt didn't install dependencies that were not actually dependencies.
Installing Eclipse Manually
So download Eclipse from here. I decided to use the Classic version, but if you want to use the Java EE version I'm sure that it will work.
Download it to a directory and open your terminal. Navigate to that directory by using the command
cd <insert directory path here>
Make sure that there are no files starting with eclipse in that folder. If there are then move them out of the folder temporarily. Then do this command:
tar -xzvf eclipse-*
sudo mv eclipse /opt/eclipse
Then you'll need to create a .desktop file for Eclipse in
/usr/share/applications/eclipse.desktop so you have a shiny icon on your bar thingy (if anyone knows the offical name of the little bar on the side then please edit this answer so that it contains it). Do these commands
sudo touch /usr/share/applications/eclipse.desktop
sudo gedit /usr/share/applications/eclipse.desktop
Paste this in that file:
Comment=Integrated Development Environment
Then create a symlink in
/usr/local/bin so you can run it from the terminal using the command
ln -s /opt/eclipse/eclipse
Eventually, I decided to use Sun's Java because OpenJDK was a substitute, and if I was going to do it manual, I might as well go the extra mile.