Wow a lot of people sure need help with the Paradox Battles.
1. Pain and Panic Paradox Battle: beat the first four cups.
2. Cerberus Paradox Battle: Have Valor, Wisdom and Master at Lv. 5
3. Titan Paradox Battle: Have Summon Lv. at Lv 5.
4. Hades Paradox Battle: Have all Forms and Summons Lv. should be at Lv. 7.