Afterwards I found myself reflecting on how people’s minds change. It never does happen just there and then, with someone saying, “Yes — I see, I was quite wrong and you’ve changed my mind.” But over time the bits of your own argument that have become unsupportable simply crumble away, usually without you even acknowledging it.
(1) Douglas Murray argues here that people are persuaded by facts, but it takes time. Contrast this with the evidence that people aren’t convinced by facts at all.
(2) Perhaps people are more convinced by stories than facts. Particularly if you set things up so they complete the story themselves.
(3) Cf. How to make your talk or presentation gripping and memorable.