Ideas are difficult when they are taught in isolation. Psychologists have discovered that humans are more adept at memorizing words than random letters and that they memorize sentences better than random words. For the same reason, students comprehend and retain logic when they use it meaningfully rather than simply master its multiple rules of grammar and inference. Appendix B contains examples of this approach. We teach logic as an intellectual treat.
Logic is beautiful.
It is charming, beguiling, tantalizing. We play, but play is as serious as it is enjoyable. One can argue that the paradox of Achilles and the Tortoise is philosophy at its most profound, and at the same time, humor at its most cosmic. It would be a mistake to present logic as a sequence of puzzles, no matter how diverting. It would also be a mistake to use amusements to sugar-coat exercises.