How can I increase the screen resolution of Minecraft on a Mac?
Solution 1:
You can't increase the resolution of the Minecraft world, but you can make sure the interface elements don't scale upward.
As of Minecraft Beta 1.5, you can set the scale of the UI by going into Options → Video settings... and clicking on GUI scale.
If you leave GUI scale set to auto, it'll continue to use the old GUI scaling: if your window exceeds 1280x720, Minecraft scales the interface elements up with the window.
Solution 2:
There doesn't seem to be a configuration option for this (on Mac or otherwise), but this mod prevents the interface elements from scaling, even at large resolutions.
Solution 3:
Start the game and then press fn + alt + F11.