Why does my mine craft keep crashing?

I'm on a mac, OS X, with EVERYTHING fully updated. I have a 2.7 GHz Intel Core i5 Processor, 8 GB memory, and version 10.9.2. Recently (A few weeks ago) my mine craft started crashing whenever I tried to log into a new world/singleplayer world. Before this, my computer was totally fine, I hadn't installed anything new or anything, this just randomly started. I don't know what is wrong. I have tried using different versions in game, deleting All mine craft related documents and files, and reinstalling it. I have tried deleting all hacks, mods, texture packs, and anything else that may interfere with the game. It is not my graphics card because I'm still able to play many other games with high-resolution graphics such as Borderlands 2, League of Legends, and Dota 2. Minecraft is a real fun game and I'm not ready to quit it! Please Help!

(I have a desktop by the way. Its not my internet.)

Added (1). Here is the crash report:
---- Minecraft Crash Report ----
// Hi. I'm Minecraft, and I'm a crashaholic.

Time: 4/11/14 6:52 PM
Description: Unexpected error

java.lang.IndexOutOfBoundsException
at java.nio.Buffer.checkIndex(Buffer.java:5…
at java.nio.DirectIntBufferU.get(DirectIntB…
at bom.a(SourceFile:271)
at bom.a(SourceFile:220)
at ban.a(SourceFile:1694)
at ban.a(SourceFile:1652)
at bln.a(SourceFile:120)
at hd.a(SourceFile:70)
at hd.a(SourceFile:13)
at ej.a(SourceF

Added (2). Nevermind that, can't fit it all in nearly

Try re installing java.