B.5.TC:1 - Problem frame

Use this when two theoretical accounts appear to give different answers, explanations or instructions for the work you are doing, and you need to decide how to use them. They may employ different objects, preserve different information or obtain a result by different operations. Comparing their vocabulary or final numbers has left the practical difference unclear.

The work here is to compare particular uses of those accounts. A theory supplies objects, relations and ways of reasoning; an application adds a question, an interpretation and the premises needed to obtain an answer. Compare those applications while keeping the underlying accounts understandable on their own terms.

First useful move. Ask one concrete question of each account. Supply the same relevant situation, recover how each answer is obtained, and locate the first difference that matters to the use. A route description that says where travel is possible and one that gives minimum travel cost can both be useful. The question determines which information and operations you need.

The result explains what each account contributes, the conditions of agreement or difference, and which use or inquiry should follow. You may select one sufficient account, combine complementary contributions, or retain an unresolved difference together with what remains usable.

Use a familiar comparison directly when its question and conditions already fit. If only one application is unclear, B.5.TU helps construct it. If the disputed object is a numerical implementation of an understood model, begin with C.29.2. This pattern becomes useful when it is still necessary to compare the accounts or locate the source of their apparent disagreement.