Meta-inference is a conclusion reached on the basis of all possible methods of inference.

meta-reasoning   - reasoning about methods of reasoning.
meta-induction   - reasoning about the methods of induction.
meta-deduction   - reasoning about the methods of deduction.
meta-retroduction - reasoning about the methods of 'abduction'.
meta-hypothesis   - reasoning about the methods of hypothesising.
meta-speculation   - reasoning about the methods of speculation.