Attempting to have a philosophical discussion with someone acting in bad faith is annoying. You might pose a statement or question, only for them to refute it with an irrelevant detail (sometimes called "whataboutism"). Or they might pose a statement or question in a way that bypasses some basic definitions.
Or it could that they have made a valid point, and your logic is faulty!
But let's consider the case where both parties are acting in good faith, and that your logic is sound (or will be found to be sound, perhaps with a small clarification). What is the appropriate way to re-approach your statement?
I am looking for a rhetorical tool (or family of tools) rather than interpersonal advice ("be polite").