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## Main Question or Discussion Point

Is there a proof that shows if R^n can be turned into a field, for specific n?

Obviously, n=1 is a field, and n=2 can be made into a field (which is just the complex plane.)

So what about n>2?

Obviously, n=1 is a field, and n=2 can be made into a field (which is just the complex plane.)

So what about n>2?