IME the role of logic in decision-making has been greatly overemphasized. People need to first be convinced in an emotional/intuitive way, then given logical arguments to support what they are experiencing.

The idea that a person -- anyone, not just "dumb people" -- think first about a matter rationally and then act in a matter consistent with logic, is failing to address a huge component of human behavior: people only behave in their rational best interests if/when they are not emotionally invested in the outcome.