Thursday, 9 September 2010
1 + 1 = 2
Mathematics - university/nursery school level.
This is clearly an extremely advanced level mathematical course, focusing on the Peano axioms for the natural numbers which formalised mathematics in the late 19th century. This course would culminate with Gödel's second incompleteness theorem which shows that the consitency of the Peano axioms cannot be formalised within Peano arithmetic itself.
Alternatively, it could be that the pupil, even at her advanced age, hasn't grasped that 1 + 1 = 2, and that all the after school one-to-one lessons in the world aren't going to work. Indeed, she probably won't even understand what 'one-to-one' means.
8/10 - loses two marks for 'math'.