that's not a good thing:

i mean it in the sense of the recent film the dark knight.

i really thought that i was being a nice guy, fool that i was. the midterm for my proofs class will be 5 problems. i promised the students this.

on the other hand, i told them what two of the problems were, so that they can prepare unambiguously for them:

- one problem will be just definitions, no proofs: it is pure memory.
- another problem will be one of two possible theorems that
__we have already proved in class__. they can memorize and regurgitate them, or they can understand the proof and therefore rebuild it in an intuitive fashion.

*why do we have to memorise these definitions?*

it's so unfair!

it's so unfair!

sure, that's one viewpoint.

on the other hand, say that i did not give them this certainty.

say that you don't bother remembering what a bιjection is.

say i ask you a problem where you have to prove things about bijections. if you don't even know the definition, are you any better off?

`[sighs]`

i already have a bad feeling about this ..

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