Upsetting problems in math
- 0.999... = 1
- Monty Hall
- birthdays paradox (sp?)
The math in each of these is interesting but easy;
the main interest is in *psychology*:
+ why are they counter-intuitive?
+ why do people resist so strongly?
Details:
- 0.999... = 1
Presentation vs. value; limit of a sequence.
- Monty Hall
Apparent symmetry.
(Arguments from symmetry are good!)
- birthdays
Restated as "no 2 people in room have same birthday"
it's more believable.
Many things in probability are counter-intuitive
to ordinary intuition; this is just most known.
(People opine b/c the answers are a number,
so they can grasp the answers, but not the reasoning;
lotta stuff in math is completely alien.)