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Gonzalez In Tales of Phantasia (known as the distant sequel of Tales of Symphonia) the tree was called Yggdrasill. Although I usually don't look at DoTNW for things in that game Lloyd mentions that no one will know the name of the World Tree until the world is ready for it hinting that is is named after Mithos and after what he has done it is wise to withhold the name until the world is better... or something like that. idk.