How Math Should Work

One of my favorite moments in C.S. Lewis's The Chronicles of Narnia series occurs in book two, The Lion, the Witch, and the Wardrobe.  Peter and Susan, the older Pevensie children, are confused and troubled by Lucy (the youngest sibling, though very honest)'s insistence of a seemingly impossible tale of entering another world, and the contrary account of malicious and mean-spirited Edmund. Peter and Susan take their concerns to the eccentric Professor Kirk, in whose house they are staying.  The exchange in the story is revealing.  "How do you know," the Professor asked, "that your sister's story is not true?"  They continue back and forth for a few moments, contrasting the general reliability of Lucy over Edmund.  The story notes the Professor's telling conclusion: "Logic!" said the Professor half to himself. "Why don't they teach logic at these schools? There are only three possibilities. Either your sister is telling lies, or she is mad, or she is...(Read Full Article)