OS X - Textures turning black depending on angle of vision

When playing Minecraft on OS X, several graphical issues occur. Some textures turn black most of the time, and only display correctly on certain angles of view.

You can see on the screenshot that it affects signs (I don't think it's the only thing affected).
Pic 1: The back of the signs on the right turn black and the text of the sign on the left is black too (it's supposed to be green).
Pic 2: The back of the signs on the right display correctly, and so does the color of the text of the signs on the left.
Pic 3: The back of the signs on the right display correctly, but the sign on the left appears black.