carla.valenzuela
Thanks Received: 0
Vinny Gambini
Vinny Gambini
 
Posts: 1
Joined: November 09th, 2012
 
 
 

3077

by carla.valenzuela Fri Nov 09, 2012 11:39 pm

I do not understand why the conclusion is supposed to buy a yellow car.

We know: Tom? will buy a car
We know: If the car's interior is red, he won't buy

Red cars only have red interiors
Black cars only have red interiors
Yellow cars only have black interiors

Te correct conclusion is supposed to be that he bought a yellow car. however, the other option--that he bought neither a red nor black car--is a weaker statement and seems to strictly follow from the assumptions.

What is not ruled out is the possibility that the car dealership has, for example, blue cars with white interiors and he wants one of those. I don't see how the "correct" answer is deductively valid. It may have inductive strength but the conclusion that he will not buy either a black or red car is deductive.

Did I read the question too quickly?
Tanks
User avatar
 
noah
Thanks Received: 1192
Atticus Finch
Atticus Finch
 
Posts: 1541
Joined: February 11th, 2009
 
 
 

Re: 3077

by noah Wed Nov 14, 2012 6:58 pm

Here's the actual text:

P: At the dealership where Tim is buying a new car, red interior is the only color available on any red or any black painted car, and black interior is the only color available on any yellow painted car.

A: (Tim will not purchase a car with red interior.)

C: Therefore, Tim will not purchase a black or red painted car.

Incorrect C: Therefore, Tim will purchase a yellow painted car.

Maybe you got an error in your game and it showed the incorrect answer?

In case anyone else is interested:

Since we know he won't buy a car with a red interior, we know he won't buy a red or black car. Don't assume he will definitely buy a car. Perhaps he doesn't like yellow, and instead will buy a motorcycle!

That clear it up?