Bogus proof.
3 > 2
3 log10 (1/2) > 2 log10 (1/2)
log10((1/2)^3)> log10((1/2)^2)
(1/2)^3> (1/2)^2
Note }}} [10 is base]
and the claim now follows by the rules for multiplying fractions.
(b) Bogus Claim:
Narayanmurthy announces dat he plans a surprise test next week. His students wonder if d quiz
could be nxt Friday. The students realize dat it obviously cannot, becoz if it hadn’t been given
before Friday, everyone would knw dat there was only Friday left on which to give it, so it
wouldn’t be a surprise ny more.So the students ask whether Narayanmurthy could give d surprise quiz Thursday? They observe dat if the quiz wasn’t given before Thursday, it would have to be given on the Thursday, since they already know it can’t be given on Friday. Bt having figured that out, it wouldn’t be a surprise if d quiz was on Thursday either. Similarly, the students reason that the quiz can’t be on Wednesday, Tuesday, or Monday. Namely, it’s impossible for Narayanmurthy to give a surprise quiz next week. All the students now relax, having concluded that Narayanmurthy must have been bluffing. Nd since no one expects the quiz, dat’s why, when Narayanmurthy gives it on Tuesday next week, it really is a surprise.What do you think is wrong with the students reasoning?
