Originally Posted By: 22B
Another question, anyone know of a good resource (especially online) for learning very basic logic (and, or, not, quantifiers) and the same for set theory. These topics are totally absent from the school curriculum, so this void needs to be filled.

Logic puzzle books by Raymond M. Smullyan have been widely popular among 'mathy' children for decades. Try:
- "What Is the Name of This Book?"
- "The Lady or the Tiger?".

Smullyan, 94, is "an American mathematician, concert pianist, logician, Taoist philosopher, and magician". Here is his picture and his story (in his own words, lower on the page): http://mysite.verizon.net/vzeeaya7/raymondsmullyan/ .

Also consider books by "fellow polymath" Martin Gardner.