1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A logical question

  1. Aug 14, 2008 #1
    martha wants to buy a fast and a chip car which answers to this term:
    the car should be painted in silver or a convertible ,but not both.

    which one of the following arguments will lead us to the conclusion
    that martha will not find a car which fits by her demands?
    1.a fast car which is not chip,unless its painted in silver and it a convertible
    2.a fast car painted in silver,but its not a convertible
    3.a chip car will never be painted in silver
    4.a convertible car are not fast and they are not painted in silver
     
  2. jcsd
  3. Aug 15, 2008 #2

    CompuChip

    User Avatar
    Science Advisor
    Homework Helper

    So let's define some properties:
    F: the car is fast
    Ch: the car is cheap
    S: the car is painted silver
    Co: the car is convertible

    Now can you make a logical expression which is true when she does buy the car? So I'm looking for something of the form: (F or Ch) and (F and ((not Co) or S).
    Also try to express the answer possibilities this way (as an example, number 1 would become: [itex](F \wedge \neg Ch) \vee (S \wedge Co)[/itex]).

    Once you have that, I will of course ask you if you can negate that expression.
     
  4. Aug 15, 2008 #3
    I doubt the OP has experience with formal logic, let alone symbolic logic, CompuChip.
     
  5. Aug 15, 2008 #4

    CompuChip

    User Avatar
    Science Advisor
    Homework Helper

    Is there an easier way to solve it, then?

    By the way I just noticed this is posted in "general discussion > brain teasers" so maybe the question is for us to find the answer and the OP already has it.
     
  6. Aug 15, 2008 #5
    i am having the final answer
    bur i dont have the way its being solved
     
  7. Aug 15, 2008 #6
    i think i got the way they solved it
    its 1
    because in that way the car will be silver and convertible
    which is not possible
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: A logical question
  1. Logic question (Replies: 14)

  2. Logical Question (Replies: 9)

  3. Logical question (Replies: 7)

  4. Logical question (Replies: 4)

Loading...