To infer is to work from axioms or claims to find what is implied by them. The claims may be statistical correlations.

There is no standard of evidence in inference, as it uses whatever evidence is provided to draw conclusions axiomatically, to different standards of rigor:

The idea of rigor is specific to inference and should not ever be applied to any deference (to which morality applies instead) or reference (to which integrity applies instead).

It is possible to structure inference as dialectic or tensegrity but these structures are themselves composed of many inferences or balance of powers or balance of tensions or balance of probabilities.