Magical Computing

Would it be possible for a wizard to create a universal Turing machine that had an infinite amount of memory?

Also, if we could master magic, do you think that it would be possible to create a separate pocket universe for a computer, that could perform exhaustive searches of an infinite problem space in a way that would seem instant when observed from this universe?

>>9
I really, really doubt it. Inside I will still be an insecure, hateful, bully. Maybe it would be better for me to do something more constructive, like learn empathy. Perhaps, providing that we invent magic, I can simultaneously live out the lives of every person who ever lived in my universe, while I still suffer under the cruel reign of myself. Once the simulation is completed (which might take as long as an entire universe lifespan), my various consciousnesses will collapse to form a something that is either a much more wholesome human being, or an even more brutal tyrant.

With eternity to experiment, I can't help by try this at least once.